diff --git "a/data/dm_maths/full_data_2/1679_11255.jsonl" "b/data/dm_maths/full_data_2/1679_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1679_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h(i) = i**3 - 6*i**2 - 7*i + 6. Let d be h(7). Let v be (-2)\/d - (-6350)\/(-2640). Let a = -26\/11 - v. What is the nearest to -10 in 2\/11, a, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 198172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**8\/48 - 83*g**6\/120 - 1283*g**4\/24 - 2645*g**2. What is the second derivative of b(x) wrt x?\nAnswer: 140*x**3 - 498*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*a + 478*a = 4580. Solve a*p + 38 = -42 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2*0\/5. Let n = j + 5. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from kffkkglfofofkfyolyk.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30606869407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, -3, 2, 0 in descending order.\nAnswer: 2, 0, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 1)*(2*j + j - j) + 5*j - 5*j + 2*j + (-6*j + 38*j - 3*j)*(-3 - 4 - 5))*(6 + 0*j + 2*j + 0).\nAnswer: -684*j**2 - 2052*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 30. Let x = c - -17.952. Round x to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 143*h + 1852. What is r(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 4*c**2 + 3*c + 2. Let g be k(-3). Suppose 3*f - 3 = -5*m + g, 5*f = 4*m - 41. Suppose 0 = 3*r + r - m. Which is greater: r or 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - -1723200420.55?\nAnswer: 1723200439.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 12:07 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0. Let x = -4.6 - z. What is the closest to 1\/3 in x, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*u - 12. Suppose u*t - 148 = -4*x, -4*t = t + 4*x - 183. Suppose -7*d - 6 = -20. Solve 0 = 4*m - 3*q - t, 0*q - 10 = d*m + 4*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16931, 33872, 50815, 67760?\n\"Answer: t**2 + 16938*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337*j**2*v**2 - 7*j**2*v - 17*v wrt v?\nAnswer: 674*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4 + 1 - m + 0*m - 3. Let w be k(-6). Solve -2*b + w + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -50*o**2 + 2. Let b(i) = 7*i. Give b(k(l)).\nAnswer: -350*l**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 4:05 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -475 + 507. Calculate the remainder when 286 is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.9897 nanograms to grams.\nAnswer: 0.0000000119897","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 389, 433, 475, 515?\n\"Answer: -c**2 + 47*c + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792.994 decades in centuries?\nAnswer: 279.2994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26727.99 - 26619. Let r = -0.99 + l. Let p = r - 107.9822. Round p to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34479.8 and -28?\nAnswer: -965434.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x - 48 + 128 = 0. Let g = -3 + 2.6. What is the second smallest value in g, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 312 + -317. Let d(a) = a**3 + 4*a**2 - 7*a - 5. Give d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-325)\/6)*10\/(-3).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 10465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 18 = 5*m, -3*m = -0*a - 5*a + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 18644642?\nAnswer: -55933926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -60. Let d = o - -81. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let d be -3 + (4 + 3 - -1). Suppose -2*m = y, -9 = d*m - 0*y - 2*y. Let g be t(m). Which is bigger: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223262 + 229490. Suppose -q = -2*o + 267248. Round o to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 5*x**2 - 5*x + 2. Let v be r(-3). Let n be (-195)\/(-21) + (-10)\/v. Suppose -3*p + 39 = -n. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-8)*-6 - 14. Let u = 15 + a. Suppose -446 = u*l - 1474. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 5*m**2 + m - 5. Let h be a(-5). Let i be (-17 - (-1)\/1) + 0. Let q = h - i. What is the smallest common multiple of q and 13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -331*y**4\/2 + 111*y**3 + 645. What is the third derivative of x(p) wrt p?\nAnswer: -3972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*a - 16, -5*u = 8*a - 10*a - 24. What is the highest common factor of u and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -47\/430?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1628025 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 4*t + 6 to h*t + z and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50603 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 40\/7 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (5 - 9) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-6))\/((-4)\/(-12)). Suppose 4*f + 12 = -4*t, 4*t - 8 = -r*f + 6*f. Which is the third smallest value? (a) 1\/5 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52*d*k**3*v + 67*d*k**3 + 2*d*k**2*v - 5*d*k**2 + k**3*v wrt v?\nAnswer: 52*d*k**3 + 2*d*k**2 + k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/70)\/((3720\/(-217))\/24)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight sevenths of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2598 = 2*b + 2584, 258*b - 5*g = -546 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 + 14*q - 3. Suppose 65*s + 28*s = -93. Let c(w) = -w**3 - w**2 + w - 1. What is s*p(y) + 3*c(y)?\nAnswer: -2*y**3 - 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.7, 0, 1 in decreasing order.\nAnswer: 1, 0, -6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3179 = -21*u. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/135)\/(10\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1899 and 0.4?\nAnswer: -759.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v. Suppose -3*b - 3 - 12 = 0. Let i(w) = 2*w - 7. Let c(p) = 2*p - 6. Let x(d) = 7*c(d) - 6*i(d). Calculate b*x(s) + 2*f(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 47*s - 1. Let w be o(14). Let v = 214 - 139. Let r = w + v. Solve 0 = -f - 2*p + 10, r*f + 4*p - 26 = 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/28 + 4 + -6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + -4 + (-190)\/(-24) and (-255)\/12 - (-11)\/(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 682955496*h**4 - 771217148*h**2 wrt h?\nAnswer: 16390931904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 809.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0078885 * 93.\nAnswer: 0.7336305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 5. Let h be s(6). Let g be ((-1342)\/(-33))\/(2\/1). Let l = g + -20. Which is the nearest to -3? (a) l (b) h (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2213 - 203.\nAnswer: -200.7787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66533276.\nAnswer: 2, 193, 86183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**3 - 2195*k**2 - 2193*k**2 + 4388*k**2 - 14*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 - v - 1. Let a be o(-4). Let u be 2\/(-1) - a*-1. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 17, 13, -3, -37?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z + z = -2*z + 6*z + 96, -q - 3*z + 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -62. Let z = m + 43. Suppose -3*h - z = -37. What is the remainder when 30 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*(-3)\/(-2). Suppose -4*r + 5*b = a + 1, 4 = r + b. Solve -1 - r = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -45, 4, -1 in descending order.\nAnswer: 4, 0, -1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 117, 78, 7, -102, -255, -458?\n\"Answer: -v**3 - 10*v**2 - 2*v + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 1 - sqrt(13)) + sqrt(117)\/(sqrt(54)\/sqrt(6)) - ((-1 + sqrt(52))*-5)**2*6.\nAnswer: -7949 + 607*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15647 and 47.\nAnswer: 15694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615324839 is divided by 1334.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Suppose -o*t = -14 - 2. Solve 4*d - 3 = -t*y - 11, -d - 4*y - 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*6392 - 1)*1. Suppose w = 2*t - 4329. What is the hundreds digit of ((-8)\/20)\/((-8)\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1764) + sqrt(1764)*3)\/(sqrt(28)*4 + sqrt(7) - (sqrt(210)\/sqrt(6))\/sqrt(5)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.589 - -0.089. What is the third biggest value in 1\/5, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4)*(1819 + -215). Is y greater than -402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/7 + 1734*f**4\/7 - 8692*f**3\/7 + 746*f**2 + 8691*f\/7 - 6956\/7 = 0 for f.\nAnswer: -1739, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in -9, 0.2, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b - 5*n + 47 = 0, 2 = b - 2*n. Let z be (12\/(-56))\/(6\/b). Suppose -24 = -4*d + d. Is d greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f = 0, -f + 3353 = a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*p + 58*p + 102 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -76. Let g be 1891\/155 + (-1)\/o. Solve -11*p + g*p + 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78986 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 30. Suppose -j*r + 0*z + 5*z + 90 = 0, 5*r = -z + 108. Calculate the remainder when 113 is divided by -4 - (584\/(-14) - 6\/r).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 - 98 + 61)*(n**4 - 3*n**4 + 0*n**4).\nAnswer: 294*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:29 PM?\nAnswer: 656","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 45449951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2\/((l*l**(1\/9))\/l))\/(l\/((l\/(l*l**(1\/2)))\/l))**34*(l**(1\/3))**(2\/9)\/((l*l**(3\/2))\/(l*l**(-5\/3))) assuming l is positive.\nAnswer: l**(-4655\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-70) - (-3 + 56\/20). Sort 4, c, 5\/3 in decreasing order.\nAnswer: 4, 5\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 greater than 444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97.5 - -77. Let m = 20 + x. Let u = m + 1.5. Which is the closest to u? (a) -2\/15 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fofg when four letters picked without replacement from {g: 3, f: 4, o: 1, s: 5}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 1989\/(-52) - (-177)\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1157 - 1156.89. Which is the nearest to 16? (a) -4 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.75913 weeks?\nAnswer: 2878321.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*t**2 + 21235*t + 39675.\nAnswer: 5*(t + 529)*(8*t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 65*v - 3*v + 1.\nAnswer: -66*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and -4.7.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 119 + 3?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1071? (a) 0.2 (b) -0.39 (c) 5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292 + -4378\/15. Let b(x) be the first derivative of 0*x - t*x**3 + 1\/10*x**4 + 3 + 0*x**2. Determine c so that b(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8149\/3 + -2715. Let s(b) be the first derivative of 5\/9*b**3 - c*b**2 - 4\/3*b + 30. Factor s(t).\nAnswer: (t - 2)*(5*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54927 * 9\nAnswer: -494343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let s(m) = -1664*m**2. Determine s(z(y)).\nAnswer: -6656*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 6:27 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/2))**3\/(f**(-1\/4))**(6\/7))**(-46))**(2\/3) assuming f is positive.\nAnswer: f**(-368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 785 (base 15) in base 3?\nAnswer: 2022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7032135 and 3597.\nAnswer: 7032135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*693\/(-189)*32\/(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**5 - z**5 + 4*z**5)*(-1 - 3 + 2) + z**5 + 3*z**3 - 3*z**3 + 142*z**4 - 142*z**4 + 56*z**5 + (5*z**4 - 2*z**4 - 5*z**4)*(-z - z + 0*z).\nAnswer: 63*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*c**2 - 15*c**2 + 19*c**2 + c + 2*c**2 - c + (2*c - 3*c + 2*c)*(-7*c + 3*c + c) + c**2 + 0 + 0 - 2*c**2 + 2*c - 2*c)*(3 - 3 - 3).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.356 + -0.356. What is the smallest value in -3\/4, 4, -7, l?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*t**2 + 4 + 3*t.\nAnswer: (t + 2)*(t + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*c - 102. Let t = 59 + c. Let n = -2 - -4. Solve -7*a = -n*a - t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**3 + 3*r**3 - r**3 - 4*r**3 - 2*r**3 + 4*r**3 + (6*r - 2*r - 2*r)*(-28 + 28 - 19*r**2) to the form j + g*r**3 + d*r + f*r**2 and give g.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let a(y) = 79*y - 120. Give a(u(h)).\nAnswer: -79*h**2 - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 1, u: 1}. What is prob of picking 2 j and 1 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(144)*-2).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75388 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 25110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - x**4 - 3 - x + 2*x**4 + x + (3*x + 0*x - 4*x)*(-x**3 + 3*x**3 - 3*x**3) + 8*x**4 - 5*x**4 + 4*x**4.\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6532*a + 6524*a - 15184*a.\nAnswer: -2128*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 8*k - 9. Let w(u) = -u. Let x(m) = i(m) - w(m). Let b(r) = -2*r**2 - 4*r + 4. Give 9*b(t) + 4*x(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -978, -1936, -2862, -3756, -4618?\nAnswer: -5448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -139940 divided by 4?\nAnswer: -34985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eenneeeneeneeeneene. Give prob of picking 2 n and 2 e.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27157 + 162953\/6. Find d, given that r*d**3 - 1 - 11\/6*d + 1\/2*d**4 + 1\/2*d**2 = 0.\nAnswer: -3, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -20, 147, 474, 1015?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 5:39 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-924)\/770*(-3)\/((-24)\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 12. Let q = -14 - z. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 2 b when four letters picked without replacement from vmbellllbmlvmlbbve?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2363346 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, 0, 2, 4 in descending order.\nAnswer: 7, 4, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 - -87. Suppose -2*s + 2*s + x*s = 0. Solve -o = -s*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21331020 - 110?\nAnswer: -21331130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161014468.\nAnswer: 2, 40253617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2d7d (base 14) to base 5\nAnswer: 230042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t = -3. Let j = -36 + -26. Let x = j - -251\/4. Which is the third smallest value? (a) 1\/8 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11*m + 1. Let x(l) = -61*l - 3. Let c(z) = 11*t(z) + 2*x(z). Calculate c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50362904?\nAnswer: 2, 6295363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((138798 + 2)\/2)\/((-39237)\/1508 + 26). What is d rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.99999899 - -46. Round f to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5491 + -2?\nAnswer: -5493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3427*n**4 - 107*n**2 - 7*n.\nAnswer: 82248*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1535\/14736)\/((-3)\/(-24)))\/((-10)\/14).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 9*p - 36 = -4*k, 5*k - 36 = 2*p. What is the greatest common divisor of k and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.143 + -1.143. What is the closest to f in -3.3, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.205626 and -0.12.\nAnswer: -0.02467512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -9*c - 184. Let n = c - -118. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2 + 31*g + 99. Let a be b(10). Let o(i) = -17*i**3 + 4*i**2 + 2*i. Let p(w) = -34*w**3 + 9*w**2 + 4*w. Determine a*o(t) - 4*p(t).\nAnswer: -17*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/55*(-6)\/(-15).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*f + 4852 + 7916 = -31377. What is the highest common divisor of f and 4212?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9993.8 - -306.\nAnswer: -9687.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 16. Suppose -q = 5, 0*o + i = 2*o + 4*q. Suppose 0 = -2*v + f + 1, -5*f = 3*v - o - 1. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 821\/10 - 82. What is the fourth biggest value in n, -5, -0.5, 0.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1778 + 0.1423062809.\nAnswer: 1778.1423062809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -42277812201 take away 0.06?\nAnswer: -42277812201.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 1796925?\nAnswer: 7187700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 7*q + 2. Let p be k(-7). Let f(h) = h - 5*h + 1 + 3*h + h**p + 6*h. Is f(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*w + 18*w + 3*w)*(-3*w + w + 0*w) - 2*w**2 - 215 + 215 as h*w**2 + t + o*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -31*b**2 - 10. Let q(d) = -10*d**2 - 3. Let j = -90 + 83. Calculate j*q(p) + 2*z(p).\nAnswer: 8*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 15, 1 in decreasing order.\nAnswer: 15, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 11*i**2 - 10*i + 19. Give l(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4407 - -944. Let y = -2397 - w. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiufwuwwiiwuwwwuwui. Give prob of sequence ui.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 174735679 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 5:29 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*d - 9, -4*o + 19 = -0*o + 5*d. Let f = o + -4. Which is the biggest value? (a) 0.2 (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-3 - (-11 - -8) - 4)) + 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 18\/5 of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.1466l in millilitres?\nAnswer: 13146.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -6*d + 649. Is 27 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 10 + 0)*(2*j + 4*j - 5*j - 3*j**2) to q + p*j + k*j**2 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 - 15615*w**2 + 1302852*w - 1287236 = 0. Calculate w.\nAnswer: -15698, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmemmmmmmmmeeemmmem. Give prob of picking 2 e and 1 m.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1609*g - 3*f = 1605*g + 20, -4 = f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a factor of 570036566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 688350 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -10*r**5 - r**4\/12 - 11*r**3\/6 + 7*r**2\/2 - 2*r - 15. Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + v)*((-6*v**2 - 9*v**2 + 6*v**2)*(-3 + 0 + 1) + 20*v**2 - 10*v - 54*v**2 + 28*v**2) in the form x + g*v**3 + f*v**2 + d*v and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618\/109 less than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 237214 and 14908757.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8194905 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w**2 + 17*w - 5. Let u(v) = -3*v**2 + 9*v - 2. Determine 2*q(c) - 5*u(c).\nAnswer: c**2 - 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*d - 6*d - 53*d)*(-2*d**4 - 2*d**4 + 2*d**4 + (-6 + 2 + 3)*(d**4 + 2*d**4 - 2*d**4) - 6*d**4 + 13 - 13).\nAnswer: 288*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0 + 2 = 0. Are r and 1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (27 - 7) + (52 - 44) + -21.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 721.6 + -722. What is the closest to -28 in p, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -166*p**2 - 840*p - 861. Let t(u) = -15*u**2 + 2*u. Let f(b) = -4*o(b) + 44*t(b). Factor f(h).\nAnswer: 4*(h + 1)*(h + 861)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*94943343\nAnswer: -189886686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10669119 is divided by 1333637?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + g = 5*g - 4, -d + 2*g = -1. Is 3 - (2 - d)*-34 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*p**3 - 418433*p - 153333572 with respect to p.\nAnswer: 120*p**2 - 418433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2953258806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 7*m - 3*m - 361, 5*m = 4*y + 458. Find the second derivative of m - 6*s - 94 + 3*s**4 wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -106.5, -1, -3\/4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 - 6*p + 3. Let g(w) = -w**2 + w. Let d(l) = -6*g(l) - i(l). Calculate d(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, r: 9, d: 3}. Give prob of picking 2 a and 1 d.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 2*u + 3. Suppose -2*o = -4*r, -o = 5*r - 2*r. Let v be m(r). Suppose -v*b + a + 1048 = -285, -a + 882 = 2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -54.66, 117, -2\/9, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -549 in -0.2, -3351, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*d - 17*d + 9*d + 3*d - 39 with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7711321 to four decimal places.\nAnswer: -0.7711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/21)\/(6\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/3 + 86944*b**4\/3 + 1888509949*b**3\/3 - 56733571070*b**2\/3 + 347896000*b\/3 + 7564476676000\/3 = 0. Calculate b.\nAnswer: -43487, -10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 3 + 6 - 9.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-4))\/(6\/192*-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.1586.\nAnswer: 0.4758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -305 - -518. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 8\/7, -8\/73, 3\/5 in descending order.\nAnswer: 3, 8\/7, 3\/5, -8\/73, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1748912, -1748881, -1748826, -1748741, -1748620, -1748457, -1748246, -1747981?\n\"Answer: d**3 + 6*d**2 + 6*d - 1748925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -76aa?\nAnswer: -76a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 5:14 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*1*(4 + 3 + sqrt(176))*5)**2.\nAnswer: 315000*sqrt(11) + 1265625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -31, 165, 613, 1397?\nAnswer: 2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 49.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 40, 43, 46?\n\"Answer: 3*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 2)\/(2\/4). Let y(s) = -5*s - 13 + s**2 + 10 + 9. What is y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608588019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p + 1. Let m be a(-10). Let z = -54 - m. Calculate the greatest common factor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and 16?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-4)\/(-288)*9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5\/13 - 3010*d**4\/13 - 3008*d**3\/13.\nAnswer: -2*d**3*(d + 1)*(d + 1504)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1114*d**3*n**2 + 316*d**3 - 2*d**2*n**2 + 7*d**2*n - 43*d*n**2 + 120*d*n - 16*d + 1 wrt d.\nAnswer: -6684*n**2 + 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5057 is divided by 86.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32.4? (a) -3\/2 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.044, 4, 2\/33?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9))**43 assuming v is positive.\nAnswer: v**(-387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/24 + 1 + -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 2*i + 30. Let v be 27\/9 - (i + 1). Suppose -v = -h - z, 0 = h + 5*z + 8 - 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1364 - -1379. Calculate the remainder when 73 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2427*w + 2761*w - 1782*w + w**2.\nAnswer: w**2 + 3406*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.596 + -27.591744. Round r to 4 decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*y - 13 - 36, -2*k + 39 = 5*y. Let m = -22 + k. Let g = m - 6. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 3*y**4 - y - 2*y**4 + (-3*y**3 + 3*y**3 + 2*y**3)*(-6*y + 11*y - 15*y) to b*y**4 + f + i*y + m*y**2 + t*y**3 and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**4 - 7*r**3 + 32*r**2 + 53*r - 50. Let z(u) = -u**4 + 8*u**3 - 31*u**2 - 52*u + 52. Let g(x) = 4*c(x) + 5*z(x). Suppose g(n) = 0. What is n?\nAnswer: -5, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**7\/483 + 7*o**6\/345 - 27*o**5\/230 + 29*o**4\/138 - 10*o**3\/69 + 14*o + 1. Find a such that m(a) = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -344 - -486. Suppose -8*j = x - 1334. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**8\/84 - 4*b**7\/35 + 4*b**6\/15 + 2*b**5\/15 - 3*b**4\/2 + 8*b**3\/3 + 35*b**2. Factor l(a).\nAnswer: 4*(a - 4)*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108.1 - -0.422.\nAnswer: -107.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -339, -693, -1187?\nAnswer: -1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 8*v, -2*k - 382*v + 386*v + 16 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(-12*f + 4*f + 5*f)*(4 - 3 + 2).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/30*(-12)\/(-148)*1*4?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 20 = -4*o, 350*z = 352*z + 7*o - 44 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -8*n + 90. Solve -4*g - 20 = 4*j, -n = 5*j - 2*j + 2*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7967372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28 - -2)*364\/(-39). Let u be k\/(-96) + ((-3)\/(-9) - 1). Factor -u*r**3 + 29\/4*r - 39\/4*r**2 - 5\/4.\nAnswer: -(r + 5)*(3*r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 27\/(-21))*-9. Let i = 27\/14 + f. Determine y, given that 5\/2*y**4 + y + 0 + i*y**2 + 6*y**3 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242 + -123. List the prime factors of o.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 - 6) - (40 - 24) - 18?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/3*15\/40*-4. Solve 5*h + q + 18 = 0, -x*h - h - 3*q - 18 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 12, -0.2, 83?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2550, -12629, 10, 0 in increasing order.\nAnswer: -12629, -2550, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*s = -0*b - 1226, 8 = -4*s. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1601 (b) -1 (c) 76.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:39 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 9:22 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*f - 440 + 90*f + 7130*f**2 - 467 + 885 wrt f.\nAnswer: 14260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 444 (base 12) to base 7\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 941, 944, 947, 950?\n\"Answer: 3*j + 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 875654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19446 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -v, 2*l + l - 3*v = 51. Suppose -20 = -2*b + 6*b, -3*i + b + l = 0. Let u = 10 - i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - g**5 + 0*g**5 + (3 + 0 - 5)*(-g**2 + g**2 + g**5) - 3*g**5 - 18 + 5*g**5 + 7 + (-3*g**5 + 0*g**2 + 0*g**2)*(1 + 3 - 3).\nAnswer: -5*g**5 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 61 = -3*g + 6*z, 4*g = -z + 112. Let k = 65 + g. Suppose -3*m - y = -68, -3*m + 0 = -3*y - 72. What is the highest common divisor of k and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90751*h**2 + 205*h + 126 wrt h.\nAnswer: -181502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-105) - 6\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/198 + (17 - ((-64790)\/171)\/(-22)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 574 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 6 - l - 1.\nAnswer: -l + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210045 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -66*n**2 - 2*n + 9. Let f(c) = 371*c - 1. Give r(f(l)).\nAnswer: -9084306*l**2 + 48230*l - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 - -17.9. Let r = -16.3 + f. Put 2\/5, 0.5, r in ascending order.\nAnswer: r, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -377 + 376. Which is the closest to 1\/6? (a) 5 (b) -1.5 (c) x (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - m - 6*m + 6*m)*(m**3 + 0*m**2 + 0*m**2) + (-5 - 1 + 4)*(4*m**4 - 3*m**4 - 2*m**4) to the form h*m + o*m**2 + y*m**3 + p*m**4 + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70*(48\/120)\/(28\/35).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6061 is divided by 1375.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 4\/9121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -196\/27 - -2003\/540. Let i = -69581\/26290 + -42\/1195. What is the common denominator of i and g?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 106, 170, 252, 358?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 8. Let g be 4\/(-18)*(-261)\/(-348). Which is the nearest to 0? (a) 1\/5 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.25 + -3.20902. What is a rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 383485, 767289, 1151093, 1534897, 1918701, 2302505?\n\"Answer: 383804*l - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -142*r + 2712. What is m(19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3, i + 10 = -0*i + 3*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 11*y + 5. What is m(-3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -0.118 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 239408 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 5*m = -2*v + 4, 5*v + 3*m - 31 = 0. Suppose x - 5*z - 339 = 0, v*x - 3*z = 4*x + 339. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2\/1017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 115048121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/7)*u*u**(-2\/11))**(7\/10)*(u*u**(-2\/19)*u)\/u**7*u**(-2\/11)\/u*u*u**3 assuming u is positive.\nAnswer: u**(-2329\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -246.30057 - -0.00057. Let q = g + 228. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7970 + -8060. Is -34 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (1 - -1 - (2 + -16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 - 4.4. Let w = -32.0612 - 0.0388. Let q = w - -32. What is the closest to 1 in o, q, 0.06?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4885 is divided by 606?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47985, -192187, -432523, -768993, -1201597, -1730335, -2355207?\nAnswer: -3076213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-919632\nAnswer: -919632.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 3*h - 17. Let j(g) = 7*g**2 + 13*g + 69. Let r(t) = 2*j(t) + 9*u(t). Let c(l) = -l**2 + 1. Let v(d) = 3*c(d) - r(d). Does 18 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -13286 - 47824. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/5 + -8\/5. Suppose -1 = -2*h - 11. What is the biggest value in 0, d, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mllvlyllmlvlyvm. What is prob of picking 3 m and 1 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1312278722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9614.256 centuries?\nAnswer: 11537107.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 + 9*m - 3. Let k(g) = -5*g**3 + 9*g - 2. Let u be (-32)\/(-12)*6\/8. Let j(v) = u*f(v) - 3*k(v). What is the second derivative of j(z) wrt z?\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8628 divided by -2876\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3. Let w(j) = -11*j**3 + 26*j**2. Calculate -w(u) + 6*x(u).\nAnswer: 5*u**3 - 26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 11:43 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*z = 6*z - 196, 204 = 5*q - z. Let p be (6\/(-15))\/((-4)\/q). Suppose 0 = -3*t + 2*a + 695, 0 = -4*t - p*a - 222 + 1182. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 14. Suppose -4*q + 4*l + 7 = -y, 0 = -3*l - 9. Let f be -3 - (-2 - q\/(-1)). Put -4, f, 3 in ascending order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26*476\nAnswer: -12376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 829*f**3 - 805*f**3 + 1 + f**2 - 1 to z + w*f**2 + h*f + x*f**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20677800, 41355602, 62033404, 82711206, 103389008, 124066810?\n\"Answer: 20677802*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.65 - -101.65. Let p = -94.3 + c. Let f = p + -5.6999973. What is f rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**3*j)**(-1\/5)\/(j**3\/j)**(-4\/17) assuming j is positive.\nAnswer: j**(-9\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4979100 to the nearest one hundred thousand.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9787, 18504, 27221, 35938, 44655, 53372?\nAnswer: 62089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -22. Suppose -d + 5*c = -4, 0*c - 2*c - 112 = -r*d. Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/8)\/((-4)\/16). Let c be (-30)\/i*(-6)\/(-4). Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, n: 2, p: 2}. Give prob of picking 1 p, 1 n, and 1 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 + h + 4. Suppose g = -3*g - 16. Let q(p) = 5*p**2 + p + 3. Let b(k) = g*r(k) + 5*q(k). What is the remainder when 31 is divided by b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2829648nm?\nAnswer: 0.0002829648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1917)\/4)\/9*16\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -28 (b) 2 (c) 21 (d) 205 (e) -0.4 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**7\/126 + a**6\/90 - a**5\/60 - a**4\/36 + 5*a - 7. Let q(m) be the first derivative of c(m). Factor q(j).\nAnswer: j**2*(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102000021101 + 10002?\nAnswer: 1102000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -402148 or -402146?\nAnswer: -402146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -12*k**3. Let x be v(1). Suppose -11*c + 96 = -3*c. Let u be 2\/c + 15\/18. Put -5, u, x in decreasing order.\nAnswer: u, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2383 and 554867252.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 1. Let b(t) = -5*t - 8. Let m(v) = b(v) - c(v). Differentiate m(i) with respect to i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 100 = 5*j, -6*j - 100 = -j + 5*g - 2*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281790 = -321*n - 144*n. Is n less than or equal to -598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let q(h) = 220*h + 36. What is n(q(r))?\nAnswer: 220*r + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725799 is divided by 27898.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 9. Let k be g(6). Let t = -70794 + 70810. Calculate the greatest common divisor of t and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s. Let j(h) = -717129*h. What is p(j(i))?\nAnswer: -5019903*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2\/((-32013)\/(-3555) - 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 44) + 7 + -22 + -23?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(343)*2 - (2 + sqrt(343) - sqrt(343))*1)**2.\nAnswer: -168*sqrt(7) + 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3 + 1926*v**2 + 19035*v + 47400 = 0.\nAnswer: -632, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1498608ml in litres?\nAnswer: 0.0001498608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(29400\/80))\/(((-40)\/(-14))\/1)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/4)\/(36\/(-216)). Sort -0.4, n, -2 in decreasing order.\nAnswer: n, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9993.\nAnswer: 3, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376988*b - 376988*b - 153*b**3.\nAnswer: -153*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5)*-3 + sqrt(13))**2 + sqrt(13) + sqrt(13) + (sqrt(26)\/sqrt(2) - sqrt(13)) + 1 - (sqrt(65) + sqrt(65)*2*6)\/(2*sqrt(125)).\nAnswer: 7*sqrt(13)\/10 + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 92 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 4*o - 4. What is w(5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40768, 81541, 122318, 163099, 203884, 244673, 285466?\n\"Answer: 2*a**2 + 40767*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*y + 6*y. Put 1, 0, 4, y in decreasing order.\nAnswer: 4, y, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (68\/16 - 1). Let j be 4\/(-2) - 0\/1. Let z be (-4)\/j + 1*-5. What is the closest to 0 in d, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210300 (base 7) in base 6?\nAnswer: 435230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:35 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2b7 (base 12) to base 10\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13553 is divided by 144.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*x - 4*g, 7*x + 3*g - 2 = 2*x. Let d(h) = h - 2 - 1 - x + 3. Determine d(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a + 27. Let v = -6 - a. Suppose 22 = -v*i + 76. What is the lowest common multiple of 20 and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (8 - (-17 - -30))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 345.8647um?\nAnswer: 0.03458647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14*5 + 4*(-3)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 7*j**2 - 18*j + 18. Let a be h(9). Solve -a*x + 15*x - 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 7 + -6 + (-4 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6070.952 centuries to decades.\nAnswer: 60709.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.3 - -21. Suppose 0 = 5*o + 5*s - 3*s + 39, 4*o - 3*s + 22 = 0. Let z be 3 + -8 - (o + 3). Which is the nearest to 0.1? (a) 1\/5 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5 - 3*n**3 + 2 - 21*n + 40*n + n**2 - 20*n - 5*n**2. Calculate b(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4723, -4664, -4507, -4204, -3707, -2968, -1939?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 22 + 13*y**2 - 21*y + 17*y - 4*y**3 + 2*y**3 + 3*y**3. Does 44 divide f(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**7\/5040 + g**5\/60 + g**2. Let d(a) be the third derivative of l(a). Let r(u) = -1215032 + 1215032 + 36*u**2. Give r(d(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 3*p**2 + 9)*(-2 + p**3 + 2) - 4*p**5 + 2*p**5 + p**5.\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*w + 9 - 84. Let m(j) be the second derivative of j**5\/20 - j**4\/2 + 2*j**3\/3 + 2*j**2 + 15*j. Calculate m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7140 - 35703\/5. What is the third smallest value in 52, 0.4, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q)*(-1 + 0 + 6).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(5) - (sqrt(245) - sqrt(245)*2)) + -2*sqrt(20))*3*-3.\nAnswer: -108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -8*w - 140. Let j = 23 + w. What is the remainder when 43 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, -39 in descending order.\nAnswer: 0, -10, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*-3*(-5*(sqrt(13) + -1)*3 + ((sqrt(156) - ((sqrt(156) - (sqrt(156)*-3 - sqrt(156))*-5) + sqrt(156))) + sqrt(156) + sqrt(156))\/sqrt(12)).\nAnswer: 270 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 4. Let g be m(2). Suppose -g*x + 9*x = -2*y + 5164, -5*x - 7747 = -3*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*i = 203*i - 495 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10 = 2*i, 0*i - 4*i = -5*o - 10. Let y = i + 3. Suppose -3*l - 4*r + 65 = 0, 0*l = -y*l + r + 40. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.81 * -15\nAnswer: 42.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Suppose 4*z = g + 2, z + 3*z = -k*g + 12. Let b = 45 + -42. Solve -7 - b = g*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2352)\/490)\/((-3)\/(675\/(-30))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57577 - -88777. Is o a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**2\/4 + 141*s\/2 + 19881\/4 = 0.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 2*d**2 - 4*d - 3. Let l be m(-3). Suppose -5*u + 9 + 6 = l. What is the third derivative of 5*x**u + 6*x**2 - 2*x**2 - 3*x**3 wrt x?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/10*-4 - 0\/1. Let z be (d\/12)\/((-8)\/6). Which is the closest to 1? (a) z (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/30*75\/90\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/32)\/((-14)\/28)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d - 2 - 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 713.9 + -714.2. What is the second smallest value in 47, 5\/3, d?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*l**3 + l - 395*l**3 + 201*l**3 - 2*l**2 as d*l**2 + t*l + o + w*l**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(117) - sqrt(117))*-1 - sqrt(117) - 2*sqrt(117)*2)*1)\/(-5*sqrt(81)*2*2).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40508\/5 + -8062. Let r = -40 + a. What is the third biggest value in r, -2\/9, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -621*y**2 + 74*y - 1 wrt y?\nAnswer: -1242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2468 and 22.\nAnswer: 27148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsssvsv. Give prob of picking 2 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 1. Suppose 5*m = 20 - 0. Give s(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9939 rounded to two dps?\nAnswer: -1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4 + 3*o + 3 - 2*o + 0. Suppose 3*g - 24*j + 26*j = 4, -g + 5 = -3*j. Let c(p) = 3*p - 4. What is g*c(k) - 7*q(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 23 = 5*z + 2*m, -2*m - 14 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 60. Calculate the remainder when 53 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * 0.36.\nAnswer: -0.0936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*k + 12, 2*k + 2*k = -2*y - 12. Suppose -4*s - 8 + 0 = y. What is the closest to 1\/3 in 3\/2, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6804)\/(-324)*4\/(-70))\/((-6)\/1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.830201 rounded to 2 decimal places?\nAnswer: 14.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -17. Let f(p) be the first derivative of -p**3\/3 - 11*p**2\/2 + 8*p + 35. Let z be f(-12). Put y, -7, z in descending order.\nAnswer: y, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.15, -3, -0.2, -21\/23, 3 in decreasing order.\nAnswer: 3, -0.15, -0.2, -21\/23, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 1 + (21 - 26) - -138. Solve -48*o + j = -101 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1645.551086 - -205.\nAnswer: -1440.551086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277458697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*y + 433*y + 3*j + 6 = 0, 4*y + 4*j = -8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9853 - -0.0147. Let b = -10 - -1. What is the smallest value in b, d, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13*c**2 + c + 29. Let y(m) = 72*m**2 - 4*m - 160. Let i(a) = -28*f(a) - 5*y(a). Factor i(h).\nAnswer: 4*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25*t - 154. Let x be k(-8). Suppose x*s - 1031233 = 234227. What is s rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2408662 - 3566662. What is k rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 8*c**2 + 2*c + 4. Let w be v(8). Suppose 19*o + 14 = w*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242479 times 0.1\nAnswer: 24247.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Let h(p) = 3*p**2 + p - 4. Let n(m) = -5*m**2 - m + 6. Let u(c) = v*n(c) + 8*h(c). Find g, given that u(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -3*l**3 - 19*l - 26. Let r(z) = 72*z. Give s(r(x)).\nAnswer: -1296*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:22 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a milligram in micrograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -565627 (base 12) to base 13\nAnswer: -393367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148033325, -148033297, -148033267, -148033235?\nAnswer: -148033201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 385\/17, -3, 26, 5.\nAnswer: -3, 5, 385\/17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7060 divided by -1412?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0.03, -4\/21 in descending order.\nAnswer: 43, 0.03, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -130, -133, -138?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 75*v**3 - 103629*v**2 + 103629*v**2 + 4*v.\nAnswer: -75*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 26 = 6*i. Calculate the least common multiple of i and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-48))\/1)\/((-1)\/30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 69666705?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 12*a**3 - a**2 - 21*a + 13. Is w(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109213083 divided by 20349\nAnswer: 5367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164\/((-121360)\/(-222)))\/((-1)\/(-170))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 8 + 7. Sort 51, c, -3 in increasing order.\nAnswer: -3, c, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3230243 (base 7) to base 9\nAnswer: 660278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 51\/(-9))*1\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1366 + -895. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -190 + -225?\nAnswer: -3b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u. Let v(b) be the third derivative of -418*b**5\/15 + b**2 - 142*b + 7. Determine c(v(j)).\nAnswer: 3344*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-560511608)\/132 - (1470\/693)\/(-35). What is l rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -3979.158.\nAnswer: 3979.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360) + -1*sqrt(360) + sqrt(360))\/sqrt(12))\/(sqrt(1000)*2))**2*1.\nAnswer: 3\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) -0.1 (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbbxqsbgsbbq. What is prob of sequence xqbb?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6826943 nanograms in kilograms?\nAnswer: 0.0000000000006826943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/(-214130))\/(482\/(-5543)).\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) -0.3 (c) -16\/7 (d) 2\/21 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2\/(4\/4 + -3). Let w(h) be the third derivative of -6*h**v + 1\/36*h**4 + 0*h + 0 + 0*h**3 + 1\/90*h**5. Factor w(a).\nAnswer: 2*a*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 - 5*i + 6. Let x(w) = 2*w**2 + 12*w + 10. Let t be x(-4). Give p(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-1 + -476)) + -1 + -5. Let u = l + -462. Solve -u*r - 2 - 3 = 5*j, -2*j = -r + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1063020 and 436800?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228081 is divided by 996?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + r + 5*r)*(2 + 0 - 1) - 405*r + 290*r + 285*r + (-4*r - 2*r + 4*r)*(-3 + 4 + 2) to n + g*r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 286*h - 2 + 13*h**3 - 6*h**2 - 573*h + 290*h. Let y be s(2). What is the greatest common factor of y and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 0. Let f be 4\/14 - 614\/(-7). Let s = -1146\/13 + f. What is the second biggest value in s, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.805453ml in litres?\nAnswer: 0.008805453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1032, -1029, -1026, -1023, -1020, -1017?\n\"Answer: 3*d - 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -3 + 85 + 4\/2. Differentiate -11*b**3 - 67 + 51 + 2*b**2 - m with respect to b.\nAnswer: -33*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0 + 11\/12*m**4 + 0*m**2 - 7*m + 0*m**3. Let q(p) be the second derivative of -p**4\/12 + 7*p. What is v(q(s))?\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:07 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from qwvvwww?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5158*r + 2*r**2 + 2576*r - 2*r**2 + 10*r**3 + 2581*r.\nAnswer: 10*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + j**3 - 3 + 1 - 9*j**2 + 11*j**2 to the form h*j**3 + w*j**2 + a*j + x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 300276281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50564462, -101128918, -151693376, -202257836, -252822298?\n\"Answer: -z**2 - 50564453*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13731.000013998 + -13731. Round a to 7 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28425 is divided by 4008?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 383656, 0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1164 and 2134.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 5*s**2 + 24*s - 1. Let t be j(-8). Find the common denominator of (-2)\/4 + (-44)\/5 and (-402)\/(-24)*t\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.2 - -52.2. What is the fourth smallest value in 0.2, -0.5, -0.04, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 - b + 22. Let i be w(-5). Suppose f = 5*n - 762, -2*f - i + 5 = -n. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuyuuyyu. Give prob of picking 1 u and 3 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 69708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - q - 46 - 12*q. Let l(j) = j + 4*j + j - 11*j - 15. Let b(n) = -2*k(n) + 7*l(n). Let a(u) = -2*u - 9. Give 7*a(p) - 5*b(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 + 0 = 0. Find the third derivative of -11*p**4 + 28*p**m - 11*p**2 + 13*p**4 wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) -47 (c) -3\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -4 in descending order.\nAnswer: 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525970522.\nAnswer: 2, 7, 11, 3415393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93b446 (base 13) to base 12.\nAnswer: 11a5991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43227, 174432, 393107, 699252, 1092867, 1573952?\n\"Answer: 43735*w**2 - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z + 90 + 197 = 94*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Suppose -w*p = -l - 170, -7*p + l = -2*p - 284. Calculate the highest common divisor of p and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*m**3 - 39*m**2 - 56*m - 22*m + 2*m + 12*m**2.\nAnswer: 74*m**3 - 27*m**2 - 76*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q**4 + 12*q**4 - 10 + 6*q - q**3 + 8 + 30*q to w + t*q**4 + k*q + b*q**2 + o*q**3 and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -264 and 82?\nAnswer: -21648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 28*b**2 - 40*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 3\/4, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -46, 1, 6549 in ascending order.\nAnswer: -46, 1, 7, 6549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/9 - 2\/9*n**2 - 22\/9*n.\nAnswer: -2*(n + 1)*(n + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -6*i - 28. Suppose 4*c - 9*m - 41 = -14*m, 0 = -3*c + m + i. Factor 0 - 6\/5*o**3 + 9\/5*o**2 - 4\/5*o + 1\/5*o**c.\nAnswer: o*(o - 4)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-7) + 7 + (-33)\/36. Which is the nearest to -0.04? (a) 5 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1021, -4, 8, 5, 3.\nAnswer: -1021, -4, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diicmiymigimd. Give prob of sequence ycg.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 23*i**3 + 4*i**2 - 22*i. Let p(w) = 22*w**3 + 3*w**2 - 23*w. Let c(x) = 3*g(x) - 4*p(x). What is the second derivative of c(d) wrt d?\nAnswer: -114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5\/6 (b) 5 (c) 0.5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -3, 1, 0 in descending order.\nAnswer: 5, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 122990459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 4*k - k + (-2 - 4 + 5)*(k + 2*k - 2*k) - 3*k - k - 5*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*x = x + 2025, 2027 = 2*z + x. Let n = z + -1011. Factor -2\/5*q**3 - 6\/5*q + 6\/5*q**n + 2\/5.\nAnswer: -2*(q - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 913 - 634. Let j = a - 123. What is the greatest common divisor of 351 and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34232220 divided by -57630\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -10. Suppose -5*m + 18 = 4*y, 1 = -4*m - 5*y + u. Let o(x) = -5*x**3 - 6*x**2. Let r(c) = -4*c**3 - 5*c**2. Calculate m*r(d) - 5*o(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2)*0\/1. Suppose 0 = -a - v*a + 24. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 + -0.7. Suppose -i + 2*i = 0. Let k = -0.2 + 0. Which is the closest to -1? (a) k (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*r + 3*r + 23, 3*r = -3*z + 15. Let n = 21 - 24. Let m = n + z. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -2183?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -16. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 4, 3, -1, 2 in decreasing order.\nAnswer: 43, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqq when three letters picked without replacement from ffffqffffqufufffuf.\nAnswer: 13\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**3 - 4*w**2 + 4*w - 4. What is the remainder when m(2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 + 48 = 0. Suppose s - 3*x = -10, -3*s - x - 2 + h = 0. Suppose z = -s*z + 939. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4965 + -4865. Solve 23*t + 2*t = u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75.1 - 71.1. Let g = 0.2 - 0.3. Which is the closest to g? (a) 1\/26 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/(-9) - -2)\/(1\/6). Let s be (-282)\/v - 1\/(-6). Let x = 31\/3 - s. Are 0 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 14*w - 27. Determine y(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 908437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 2*n**2 + 2*n - 1. Let a be u(1). Solve a = 2*x + x - d + 10, -4*d = -5*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3345, -3, 42, -0.1, 3, -1 in increasing order.\nAnswer: -3345, -3, -1, -0.1, 1, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 143363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715237165.\nAnswer: 5, 343047433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 90*k + 2. Suppose 65 = -2*d - 5*y, 2*d + 3*y + 123 = -2*d. Let n be f(d). Which is greater: n or 48\/29?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*r + 69*r = -154*r + 1551 for r.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4581 (base 16) in base 9?\nAnswer: -26360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 50*z + 5420. Determine o(-120).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*g, 2*g - 116 + 85 = -3*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -242, -3, -0.3, -1\/4, -306, -2 in increasing order.\nAnswer: -306, -242, -3, -2, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/2 of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278163654?\nAnswer: 2, 3, 103, 450103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h + 15 - 31 - h - 60. Let j(m) = m. Calculate t(j(k)).\nAnswer: 3*k - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7540 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 24 = -h, 0 = -85*h + 87*h - 2*r - 32. Let l = -79 - -173. Calculate the remainder when l is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213693 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = x, -10*b + 4 = -9*b. Does -2\/351 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51249.6 + 6437.\nAnswer: 57686.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 363947 divided by 665\nAnswer: 363947\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 90674168 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 15c (base 16) in base 8?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8824987 kilometers in meters?\nAnswer: 882.4987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:04 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -213065697 divided by 1209?\nAnswer: -176233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/9 + 680*i + 651578\/9 = 0.\nAnswer: -103, 3163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1899\/10550)\/(15\/(-50))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4904, 39394, 133034, 315398, 616060?\n\"Answer: 4929*m**3 + m**2 - 16*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3. Let n be i(0). Let t(j) = n + j**2 - 3. Let q(u) = 3*u - 2. Let y(h) = -4*h + 3. Let l(s) = -6*q(s) - 4*y(s). Give l(t(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -41*q + 197. Calculate y(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8677 + -0.8277. Let f = -0.04 + 5.04. Which is the second biggest value? (a) j (b) -6\/11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 40262 + 18148. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 840.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 9*v + 19. Let i(p) = 2*p**3 - 33*p**2 + 14*p + 42. Let q be i(16). Let a be t(q). Let k(o) = o**3 - 8*o**2 - 8*o - 4. Determine k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1389, -518, 2613, 8004, 15655, 25566?\n\"Answer: 1130*g**2 - 2519*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17057729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*c + 284393 = 131*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1849.479 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -813*g**2 - 2*g - 1. Let a be f(-1). Let o be a\/(-98) + (-4)\/14. Solve 19 = -3*h + v + v, 4*h + 4*v = o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -d, 58*d - 54*d = -5*f. Let n be (-2 + 4\/3)*-3. Find the third derivative of 13*t**3 + f*t**n - 5*t**2 - 5*t**3 wrt t.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 26.1347 and -0.3.\nAnswer: 25.8347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 3208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 + 32\/14. Suppose 3050004 = -5*j + a, -3*a + 2*a = c*j + 1219996. Round j to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:58 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 23789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Let a be -3*u\/(-9) + -2. Let i be (2 + a)*(4 + -3). Which is bigger: i or -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -11. Suppose -36 = 5*m + z, 2*z + 179 = -3*m + 149. Sort -4, m, a in increasing order.\nAnswer: m, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21565 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 35392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2285, 2286, 2287, 2288, 2289, 2290?\nAnswer: 2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2785885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -13*a**4\/12 + a. Let u = 289 - 287. Let t(j) = 9 + 6*j**2 - 8*j**u - 9. What is q(t(c))?\nAnswer: -52*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:31 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15016\/36)\/((-19)\/(-171)).\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274 (base 12) in base 15?\nAnswer: -954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 6. Let s = 56\/75 + -2\/25. What is the nearest to g in 1\/5, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -343.\nAnswer: -8\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, 3 in ascending order.\nAnswer: 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 + 61 + 2*z**3 + 2*z**4 - 2*z**2 + z**2 - z to m*z**4 + s + u*z + t*z**3 + y*z**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 2*k**6\/3 + 4*k**5\/5 + 9. Factor v(j).\nAnswer: 4*j**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/11 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/20 - (-2)\/(-30).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((1*sqrt(187) - sqrt(187)) + sqrt(187))*-3)\/((sqrt(539) - (sqrt(539) - (sqrt(539) - sqrt(539)*1)))*-1 - sqrt(539)))**2.\nAnswer: 153\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**3 - 9*t**2 - 2*t + 83. Is p(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25498?\nAnswer: 2, 11, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 2*h, -4*x = 4*h. Suppose 0 = -a - 2*a. Let k be (a + 0)\/(x + -3). Solve -4*d + 3*w + 19 = k, d + 19 = -0*d - 4*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 374570181 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 17*r - 5*r + 70*r + 17*r**2 - 2.\nAnswer: 17*r**2 + 79*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -25. Let g be ((-6)\/p)\/((-2)\/(-4)). Sort -0.3, 2\/21, g in descending order.\nAnswer: 2\/21, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -683, -2722, -6123, -10886?\n\"Answer: -681*o**2 + 4*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 3. Let p be a(1). Solve -2 = -0*k + p*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 30*p**2 + 425*p + 9*p**2 + 216*p - 41.\nAnswer: -21*p**2 + 641*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*-3*(-2)\/(-8). Let n(a) = a - 4. Let v(l) = -3*l + 11. Give f*v(c) + 17*n(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3908*d + 164. Let z be x(17). Round z to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 143 - (2 - (-4 + 3) - 4). Suppose 0 = 14*p - 2*p - c. Suppose 0 = -p*t + 9 + 39. Solve 2*r = -t*m - 10, -5*r - 2*m - 8 = -r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zip when three letters picked without replacement from iihpiijihidihjizidd?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*f - 10 - 3, -4*r = 4*f - 4. Calculate the common denominator of 332\/80 - -2 - f and 65\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummmukmmmumumueje. Give prob of sequence umk.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/30*(-282)\/4. Suppose 4*l - 3*y - h = -6, -y + 12 = l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 610 and 3538?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 400\/7 - 57. Suppose -6*q = -q - 25. Let i be 4\/(-4) + 7\/q. Sort v, i, -2.\nAnswer: -2, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 214, 463, 878, 1459, 2206, 3119?\n\"Answer: 83*o**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**5\/60 + g**2. Let s(p) = p + 8. Let a be s(-5). Let z(v) = 0 - 3 + v + a. Give j(z(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32670806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 12:57 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000155848 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u - 4*f + 28 + 16, -4*f + 15 = 9*u - 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -15*f**5 + 33984*f**4 - 19343439*f**3 + 107483286*f**2 - 126291060*f - 68952600 = 0.\nAnswer: -2\/5, 3, 1130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 430, 626, 822, 1018, 1214?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 175*c**3 - c**2 + 4*c - 2. Let u be d(1). Suppose 0 = 4*h - u + 32. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 555*x**3 - 5*x + 63609 wrt x?\nAnswer: 1665*x**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.32*-1\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - g**3 - 11*g**2 + 4*g**4 + 38*g**2 - 2*g**3 - 24*g**2 to the form u*g**2 + m*g + r*g**3 + f + h*g**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 4*n - 3 - 1, 4*p + 300*n - 108*n - 196*n = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190574370.\nAnswer: 2, 3, 5, 7, 19, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 2:28 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894 divided by 1009?\nAnswer: 2894\/1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 1783*x - 62891. Give n(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 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 cube root of 117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*l + 2 = 8, o = -5*l + 2. Let y(m) = -6*m + 4. Calculate the remainder when 102 is divided by y(o).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17928624*h + 60322109?\nAnswer: 17928624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*v - 14 = 0, o + 8*v + 2 = 9*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 x when four letters picked without replacement from {f: 1, e: 1, c: 6, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 1741363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2868 and 4.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 61 = -59. Let r be (-4)\/(-26) + b\/598. What is the biggest value in -1\/2, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16.1, 5, 1\/3, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 14*l + 5. Suppose 0 = -4*f - 10 + 26. Let x be v(f). Let k = x - 30. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4020 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 - 535322880*x - 14328529292574720 = 0. What is x?\nAnswer: -53532288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2688 divided by 8.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 488 = w, 372*w + 3*x + 981 = 370*w. Which is smaller: -495 or w?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 + 4. Let r = 2 + -2.1. Which is the closest to -1? (a) x (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48033 and 243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**7\/56 + u**6\/10 + 3*u**5\/20 - u**4\/8 - 5*u**3\/8 - 3*u**2\/4 + 41*u - 2. Factor b(r).\nAnswer: 3*(r - 1)*(r + 1)**3*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = -5*w + 12, -5*w + 22 = g. Let o = 59 - 36. Suppose -3*f + o = 8. Solve -f*x + 11 = -l + w*l, 10 = 4*x + 2*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-20) - 10)*(-8)\/(-12)*-1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 3*m + c + 62, -55 = -5*m - 2*c for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 1. Let p be w(-6). Let a = p - 6. Let m = 4\/71 + 47\/426. What is the second smallest value in a, -5\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 68 and -360.6505.\nAnswer: -292.6505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -703.4 + 703. What is the nearest to -1 in -3\/7, m, 0.1, 2\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21676867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -2)*8\/(-6). Suppose -v + 14 = -j, -5*v - 4*j + 37 = -78. Let b = 6 + -4. Solve -s - 5*k = v, -b*k + 14 = -9*s + f*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + 11*v - 13. Let p be a(7). Let y = p + 90. Let j(f) = -4*f + 30. Let o be j(y). Solve -o*c = -10 + 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.05 + 0.05. Suppose -r = y + 8, 3*r + y = r - 13. Let c = -27 + 53\/2. Sort r, x, c.\nAnswer: r, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.85 (b) 2\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 153*m**2 + 2304*m + 1075. Determine a(136).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -77, -601, -2047, -4877, -9553, -16537?\n\"Answer: -77*t**3 + t**2 + 12*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2223 = -5*g + x, -11*g - 5*x - 900 = -9*g. Let i = g - -486. Calculate the remainder when 128 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 782 and 5.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 18 = 48. Suppose -z*o + 10*o + 104 = 0. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 21*n**2 - 22*n + 236. What is the thousands digit of i(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**3 - 212130*r**2 + 848580*r - 848600 = 0.\nAnswer: -42430, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4)*b)\/b)**(-3\/26)\/(((b*b\/(b\/(b\/(((b*b**(1\/2)*b)\/b)\/b))))\/b)\/b*b\/b**(-3\/13)) assuming b is positive.\nAnswer: b**(-79\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from zzdqwzddqzwzzqzzzqqz.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + z**2 - z - 2. Let y(u) = -9*u**3 + 154*u**2 - 1922*u - 10. Let i(c) = 5*m(c) - y(c). What is the second derivative of i(s) wrt s?\nAnswer: 24*s - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 220 = 87*c. Let q be 66\/c*(-11 + (-1074)\/(-90)). Which is greater: 14 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*q + 2*g - 17, -g + 23 = 3*q. Suppose -q*z = 612 - 108. What is z rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*s**3 - 621\/5*s**2 - 42849\/5*s - 985527\/5 = 0. What is s?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, f: 6, b: 4, l: 1, d: 5}. What is prob of sequence bd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b - 3. Let j(m) = -m. Let s(z) = -4*z - 15. Let o(g) = -5*j(g) + s(g). Let a be o(17). Give k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 - 3*y**2 + 3*y. Suppose -2*w + s = -0*s - 9, 4*s = -2*w - 16. Let t(l) = -3*l**3 - 2*l**2 + 2*l. Give w*v(a) - 3*t(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**2\/2 + 35. Let n(r) = 597*r. Give n(a(o)).\nAnswer: 597*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 8. Let u be 1\/(-1 + -1 + b). Let w = -6.1 - -1.1. Put u, -0.3, w in descending order.\nAnswer: u, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109584 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -71*z - z**2 + 34 + 40*z + 38*z. Let s be m(2). Calculate the greatest common factor of 24 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, n: 7, c: 2}. What is prob of picking 1 n, 1 c, and 2 h?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88\/2545601 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 2*y**2 - 5*y + 5. Is j(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-4))\/(3\/(-6)). Suppose -195 = -4*d + 141. Suppose h + d = p*h. What is the highest common divisor of h and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-24)\/(-12)*2*219\/12).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296682 is divided by 91?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.284844 * -0.7\nAnswer: -0.1993908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2233 (base 5) to base 4\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/5 + (-1)\/5. Suppose i*o + 84 = 858. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 43*v - 14. Let s be a(2). Calculate the greatest common factor of s and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445 + 47*l - 225 - 220.\nAnswer: 47*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 20, 5*p - 7 = -5*v + 18. Suppose -j + 3*j = v. Let a(m) = -2*m**2 + m. Let o be a(j). Which is smaller: 2\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i**2 - i + 17. Let r be c(-5). Let h = 204 + r. Put -1, h, -10 in ascending order.\nAnswer: -10, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-509 + 510)*71\/(-5) - -24?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28023?\nAnswer: 3, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1778010 rounded to the nearest one thousand?\nAnswer: -1778000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3486 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/10)\/((-30)\/100).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 7. Let x be u(-5). Is -2 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107233047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/26)\/((-92)\/1794)*(-102)\/(-3).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d + 15. Let i = -5289 + 5289. Solve 0 = d*f - 15, -t + i*t = 2*f - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccc. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13829596 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 160093 - 160093 + 2*a**2 + 1734*a as s*a + r*a**2 + q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -624 - -1044. Calculate the greatest common factor of 60 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3 + 0 - -589)\/((-1)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i + 8. Determine x(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 3*b**5\/10 + b**4\/12 - b**2\/2 - 3*b. Let g(w) be the first derivative of -2*w**3\/3 - w**2\/2 + 3. Let z be g(-1). Give p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 + 15*t + 3*t**3 - 30*t**2 + 2*t**3 + t + 20*t - 2*t**3 = 0. Calculate t.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/11165 and 51\/5.\nAnswer: 11165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123368 and 68152.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 68333?\nAnswer: 888329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + h = -14*x + 4, 0 = x + 2*h - 8. Solve -3*c - 13 + 4 = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 265*m - 1098. Determine p(3).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19591\/6 - -3288. What is the common denominator of v and (2 + (-398)\/4)*12\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -4.01. Let p = 2.01 + v. Let b = 2.4 - p. Sort b, 2, 1 in ascending order.\nAnswer: b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -261 - -426. Calculate the remainder when t is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + k + k)*(-8*k - 69 + 69).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 487 in -5, 2, -894, -2\/5, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 272 + -166. Suppose -2*k + s = -k. Let x = k + -59. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 56*u. Let x be (212 - 210)*(-1)\/(-3). Let p(i) be the first derivative of -17 + 0*i**2 - x*i**3 + 0*i. What is p(h(m))?\nAnswer: -6272*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 276\/(-1794)*-1*1\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -291*k**2*s**3 - 1002*s**3 wrt k?\nAnswer: -582*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, -0.3, -801, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33047404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(20\/(13\/(26\/4)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -277790727.63 - -0.3.\nAnswer: -277790727.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*n + 18*n**2 - 304*n.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 1336*i**2 + 9315*i - 15948.\nAnswer: (i - 1329)*(i - 4)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57\/7? (a) 2 (b) 8 (c) -5363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4611 - 5046. Which is smaller: -437 or z?\nAnswer: -437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 390\/(-130) - (27249997 + 0). Round i to the nearest 100000.\nAnswer: -27300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4 - 773*u**3 + 33813*u**2 + 223857*u + 346302 = 0.\nAnswer: -3, 53, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/60 + q**4\/3 + q**3\/3 + 5*q**2 - 67*q. What is k(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4965827?\nAnswer: 61, 127, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.487*27.\nAnswer: 337.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12164441 (base 7) to base 9\nAnswer: 2043415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3089 and 3089 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3789*w - 3789*w + 969242*w**3 - 969230*w**3.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - m**2 - 1. Let o(y) = 11*y**3 + 20*y**2 + 48*y - 59. Let u(w) = -2*o(w) - 10*t(w). Factor u(d).\nAnswer: -2*(d - 1)*(d + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (53 - 58) + 2\/2 - -3. Let i(r) = -r**3 - r**2. Determine i(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let o(i) = 26*i - 42. Let d(z) = -29*z + 42. Let q(j) = -3*d(j) - 2*o(j). Calculate 42*k(y) + q(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**3*y - 1254*x**3 - 203*x*y**3 - 2*y with respect to y.\nAnswer: 2*x**3 - 609*x*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1480 - 1480.4. What is the nearest to 1\/3 in 2, f, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6*x**2 + 226*x + 176. What is a(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/18 + 2\/3. Suppose -8*o = -14*o + 3306. Let v = -3307\/6 + o. What is the second smallest value in 3\/2, g, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3832 divide 123407785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 16\/(-4))*-1597. Let h = a - -2856. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14315*f + 46 - 7124*f - 7136*f)*(1 - f**2 - 1) in the form g + v*f**2 + o*f + c*f**3 and give c.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**3 - 503*f + 504. Calculate z(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 454447541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 3*a**2 + a + 2. Let f be y(2). Let o(k) = 6*k**2 - 18*k + 14. Let l be o(2). Solve 0 = 5*q + 2*w - 24, l*q - 3*q + 2*w = f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i + 29 = 4*x, 2*i = -10. Let t be (-1*(1 - 5))\/x. Solve -5 = -5*g - 5*y, 0 = t*g + 2*y - 0*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = -5*c. Suppose -4*r - 4*b + 1648 = 0, -2*b = -4*r - c*b + 1639. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 45 = 3*c, -j - 5 - 4 = -5*c. Let q = j - -13. Let o(p) = -p**3 + 4*p**2 + 5. Let l be o(q). Put l, -2, 2 in decreasing order.\nAnswer: l, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, f: 1, u: 2, e: 9, h: 2}. Give prob of sequence feee.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - g**2 + 0*g**2 - 92*g**3 + 0*g**2.\nAnswer: -92*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71665795?\nAnswer: 5, 17, 843127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 10) in base 14?\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(56)\/(sqrt(128)*-2))**2*-4.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035046 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1421953.\nAnswer: 4265859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -122600 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.285 and -0.056?\nAnswer: -0.01596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*t - 44, c + t + 52 = 3*c. Let h be (1 - 1\/2)*78. Let g = h - c. Solve 3*q - g = 7*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in minutes?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctc when three letters picked without replacement from {t: 2, c: 18}.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 182.93 to zero decimal places.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -26.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76178.\nAnswer: 2, 41, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157\/198 - 71606\/99. Let o = d - -755. Find the common denominator of 67\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(77)*-1*4)\/((sqrt(99) - (3*sqrt(99) - sqrt(99))) + sqrt(55)\/(sqrt(20)\/sqrt(4))) + -2.\nAnswer: -2 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 2:09 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6922, 6920, 6918, 6916, 6914, 6912?\nAnswer: 6910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n. Let m(a) = a + 1. Let c(h) = h**3 + 6*h**2 + 6*h + 6. Let p be c(-5). Let k be m(p). Let j(i) = -k*i + 28 - 28. Determine j(q(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*p)*(0*p + p + 0*p) - 1 + 1 - p**2 + (-37*p + 17*p + 31*p)*(p + p - 3 + 0*p) - 2*p**2 - p + p to the form j + g*p + m*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, n: 5}. Give prob of picking 3 n.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 9*j**2 - 2*j + 7. Let b(p) = p**3 + 9*p**2 + p - 8. Let l(r) = -3*b(r) - 2*u(r). Calculate the remainder when 29 is divided by l(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 36*m + 253. Calculate x(-27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9 - 8 = -4*x, o - 3*x = 11. Let k be (22\/(-10 + 21))\/((-4)\/(-6)). Sort o, k, -3 in descending order.\nAnswer: o, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895927313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 377 = 2*b, 0 = -5*b + i + 669 + 316. Suppose 3*h + 2*u = u + b, -2*u = -5*h + 323. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((20\/(-6))\/10)\/((-2)\/12). Suppose y*x = 10, -5*w - x + 530 = x. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 5, 21, 10, -2167 in decreasing order.\nAnswer: 21, 10, 5, -5, -10, -2167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + 8. Let k(m) = m + 10. Let h(t) = 1. Let u(f) = -6*h(f) + k(f). Let p be u(q). Solve -p*d + 14 = -2*c, 5*c + 3*d + 19 = -0*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59463743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3430554632 - 0?\nAnswer: -3430554632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - -a776?\nAnswer: a760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/2 + 10*x - 598 = 0. What is x?\nAnswer: -46, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -85027076.7 rounded to the nearest 1000?\nAnswer: -85027000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*sqrt(1694) - sqrt(1694) - sqrt(1694)))\/(-5*1*sqrt(847))*-1.\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x. Let q be h(-2). Suppose o - 2*m = 9, -2*m - 8 = 2*o - 4*o. Is -1*((o - q) + -56) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31369477 equal to -31369476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239.999849 + -240. What is h rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (8 - 36\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*k**2 + 9*k**3 + 11 - 11 wrt k?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -36. Let j = g + -20. What is the remainder when 37 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2022 or 1943?\nAnswer: 2022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 146*t**2 - 1824*t - 4871. Give u(-58).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*w + 52. Let r = 139 + -195. Let i = -23 - r. What is the remainder when i is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 34 + 93 - 776*i**2.\nAnswer: -776*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) 0.12 (b) 102 (c) -21\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n. Let i(o) be the first derivative of 11 + 2\/3*o**3 + 0*o + 0*o**2. Calculate i(j(c)).\nAnswer: 98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -12. Let y = j - -16. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 6 + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 9. Let f(s) = 5*s - 45. Let v(z) = -2*f(z) - 11*m(z). What is v(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/26445679 + -5109225845795\/423130864. Let c = -12080 - w. Find the common denominator of 55\/18 and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) + 4\/3. Suppose 0 = -5*q + 5*l + 24 + 11, -d*l + 34 = 2*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*t + 18, 2*t - 4*b = -0*b. Let j = 327 - 211. Let q be j\/6 - (-6)\/9. Calculate the greatest common factor of q and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 divided by -46\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89027.0003 + 89034. Let u = -0.07 - -7.07. Let s = u - m. What is s rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*d + 3*p, 6 = -21*p + 23*p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (21 - 7) + (-19 - -21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67159 is divided by 725.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646845 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -420*f + 97. Let u = -783 + 771. Is k(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 8421*q**2 + 58836*q + 100800.\nAnswer: 3*(q + 3)*(q + 4)*(q + 2800)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 divided by 4?\nAnswer: -669\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyxy when four letters picked without replacement from {g: 1, t: 3, j: 4, x: 1, y: 2}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 4*a**2 - 7. Let r be d(3). Let u be -9*(12\/(-18))\/r. Suppose -3 = 2*p - 5*b - 2, -3*b = -3*p + 3. Sort -2, p, u.\nAnswer: -2, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**2 + 83*k**3 - 168*k**3 + 78*k**3 to f*k**3 + o*k**2 + v + n*k and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16059768, -16059759, -16059750, -16059741, -16059732, -16059723?\nAnswer: -16059714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 0.4 (c) 2\/29 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i + 12 - 53*i + 9 - 11. Is 36 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/2*(-396)\/8. Let n = 2 - 6. Let u be (n\/6)\/(4\/(-54)). Calculate the greatest common divisor of r and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3549*q**2 + 4*q - 15. Let f be t(11). What is f rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:10 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egeg when four letters picked without replacement from {p: 12, e: 6, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39873 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: What comes next: -5493, -10984, -16489, -22014, -27565, -33148?\nAnswer: -38769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -779a3 (base 13) to base 6.\nAnswer: -4352240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 3*w**4\/4 + 1926*w. Let o(h) = -9*h**2 + h. Calculate o(q(x)).\nAnswer: -729*x**4 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22)\/3)\/(16\/3802). Let v = -1740 - l. Let j = -14455\/474 - 1\/237. What is the common denominator of j and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 3*h**5\/10 + h**4\/6 + 2*h. What is the third derivative of s(a) wrt a?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**3 + 147*i**3 + 160*i**3 + 189*i**3.\nAnswer: 517*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -12*d + 7. Let h be s(6). Let a = -27 - h. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*m**5 + 2988*m**4\/7 + 1118*m**3\/7 - 1592*m**2\/7 - 152*m\/7 + 32\/7 = 0 for m.\nAnswer: -2\/3, -4\/21, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (903 - 38*h - 903 - 2 + h + 2 - 3 + 3 - 2*h + (-2*h + h - h)*(2 - 3 + 2) + 1 - 2*h - 1 + 11 - 4*h - 11)*(-2*h - h + 4*h).\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 2*i**2 - i + 5. Let c be b(0). Factor -2*s**3 + 0*s**2 - 16*s**c - 2*s**3 - 4*s**3 - 4*s**2 + 28*s**4.\nAnswer: -4*s**2*(s - 1)**2*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128692?\nAnswer: 2, 32173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**2. Let b(p) be the second derivative of -p**6\/180 + 31*p**4\/12 - 20*p. Let c(s) be the third derivative of b(s). What is j(c(a))?\nAnswer: -128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 + 5*x - 1. Let f(n) be the third derivative of -n**4\/24 - 3*n**2 + 390. Calculate -3*f(t) - y(t).\nAnswer: -2*t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 9:34 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -22. Let u(i) = -i - 4. Determine u(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -7*l**6\/360 + l**3\/6 - l. Let q(k) be the second derivative of w(k). Let h(v) = -2*v - 6 + 6. What is h(q(a))?\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194678 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 - d - 5. Let n(i) = -1 + 2*i**2 + 2*i**2 + 1 - 3. Let b(k) = 10*n(k) - 6*p(k). What is b(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 25*m - 20. Suppose -5*p - 7 = -27. Suppose -p*i = 3*v - 13, -i - 4 = -m*v + 10. Solve -v*h + 2*h + 5*u + 24 = 0, 4*u + 4 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.9, -0.01 in descending order.\nAnswer: 1\/3, -0.01, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 539*r**2 + 19*r - 11*r.\nAnswer: 539*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 8*x - 18. Let p(g) = 7*g**2 + 17*g + 36. Let d(n) = 4*p(n) + 9*z(n). List the prime factors of d(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(12) + 0 + 3)**2.\nAnswer: 6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.65 or -0.045?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 131094286 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:19 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.3971682s in days?\nAnswer: 0.0002129301875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, c: 1, k: 1}. Give prob of sequence qkqc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/(1\/(-16)). Suppose -2 = -2*i + p. What is the remainder when -1 + 12 + (2 - 0) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*j - 147*j - 101*j.\nAnswer: -345*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2110*b = -2117*b + 58849. List the prime factors of b.\nAnswer: 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(21\/9) + 12. Suppose 4*q - 31 = 29. Suppose 2*j - q - 11 = -5*v, -3*j = v - 13. Solve -4*s = 3*n - j, 5*n + 4*s = 4*n + c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 732*o - 71. Let l be a(3). Suppose 0 = 2123*u - l*u + 32. Solve 3*t - 5 - 3 = 4*r, -4*r + u = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = -p + 75 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 481?\nAnswer: -2\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/8 + 3)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45771*l**2 - 436 + 890 - 454.\nAnswer: -45771*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q + 10. Suppose -6 = 2*r + 2*f - 6*f, -15 = 5*r + 4*f. Let j = r - -3. Give y(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1449 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 1 (c) 2\/19 (d) -16 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.025 and 16590733051.\nAnswer: 16590733051.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**4\/4 - x**2\/2 + 673*x + 18. Let p be a(0). Suppose 2*s = p + 381. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 66*m + 14 - 28 + 14 - 62*m. Give j(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.633274 millilitres to litres.\nAnswer: 0.000633274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*(2 + sqrt(200)) - (sqrt(200) + -1*sqrt(200) + -4))**2 - (-5*sqrt(200)*6 + sqrt(200))*-2).\nAnswer: -460*sqrt(2) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:59 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**0*x)\/(x\/x**(-1\/6)))\/((x*(x*(x*(x**0\/x)\/x*x)\/x)\/x)\/x)**(18\/5))\/((x**0)**(-1\/14)\/(x*x**(-2)*x**(-2))) assuming x is positive.\nAnswer: x**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116*f**2 - 113*f**2 + 3*f + 152*f**2 + (-1 + 2*f + 1)*(-1 - 2*f + 1) + 3*f - f**2 - 3*f.\nAnswer: -82*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3633836?\nAnswer: 2, 908459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-102 - 834 + 231)*(0 - 5*z + 1 + 7*z) to j*z + s and give j.\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 2*s**2 - 1 - s + (26*s + 40*s + 92*s)*(-5*s + 0*s + 4*s) to q*s**2 + k + h*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1406\/(-111))\/(43\/129)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17899939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -19*l**2 + 586. Let p(v) = -13*v. Calculate y(p(u)).\nAnswer: -3211*u**2 + 586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73.025 - -0.025. Let h = -43 + 41. Which is the smallest value? (a) m (b) -2\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.00884 years in centuries?\nAnswer: 0.2300884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 4:20 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 + 139. Suppose 3*r = j*r + 13400000. What is r rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -169*h**2 - 5684995*h - 134556 = 0.\nAnswer: -33639, -4\/169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*3\/(-855)*5*(-3)\/(-12).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443889 times 0.11?\nAnswer: 158827.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/29 greater than -17.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6828 - -47794\/7. Let w = 11 - 12.8. Let k = w - 0.2. What is the closest to -0.1 in k, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eree when four letters picked without replacement from {m: 4, r: 8, e: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 10, -0.11, -2\/11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100445394 and 231?\nAnswer: 1104899334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 8405*u**3\/3 + 410*u**2 + 20*u + 39. Factor x(g).\nAnswer: 5*(41*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -31.\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(0 + (2*sqrt(272)*-4 - 4*-1*sqrt(272))))**2.\nAnswer: 69632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = -5*t + 31*y + 430795, -2*t + 4*y + 172342 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 121 = -12*v, -343 = -v - 714*h + 710*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 231\/(-45) + 2\/15. Let i be (52 - (2 + y)) + 2. Let m = 614 + -576. What is the highest common factor of m and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 341390 and 3934.\nAnswer: 95930590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 902796*t + 10833624.\nAnswer: -(t - 1805604)*(t + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z - 6. Let d(q) = -6*q**2 - 7*q + 9*q**2 + 7*q + 0*q**2. Calculate d(f(p)).\nAnswer: 48*p**2 + 144*p + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/10 + (-964)\/(-90). Let h = 464\/45 - v. Factor 4\/5*o**3 + 0 + h*o - 4\/5*o**2.\nAnswer: o*(2*o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 12*r - 25 = -w, 3*w = 2*r - 13 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11561, 23162, 34761, 46358?\nAnswer: 57953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 11 = v - 1, 0 = 3*v - j - 20. Let r be (-4 + 2)*v\/(-2). Suppose -3*p + 40 + 20 = 3*q, r*p - 100 = 4*q. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -930 divided by 15\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17294?\nAnswer: 2, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 195\/2. Let d = -5 - -5. Suppose d = 2*w - w + 4. Sort 1, y, w in descending order.\nAnswer: 1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 608 = 15*o - 4*m, -811 = -4*o - 5*m. Calculate the greatest common divisor of o and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139 - -164. Solve 5 - h = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4522, -4461, -4400, -4339, -4278, -4217?\nAnswer: -4156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3172*t + 3309*t - 1602900 = 0. Does 117 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1752 and 1\/65856.\nAnswer: 4807488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 26, 28, 22, 8, -14, -44?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-3) + (-348)\/(-36 + 65)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000214831 rounded to 7 decimal places?\nAnswer: -0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 573.791 - 570.6. Let n = -0.151 + v. Let k = n - 0.04. Which is the closest to -1\/4? (a) -3 (b) -1\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -135, -472, -1131, -2220, -3847, -6120?\n\"Answer: -18*d**3 + d**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 19\/(950\/460)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101101111000000 - -1011110?\nAnswer: 100101110000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*((-2)\/10 - 1). Let x be -44*6\/(-120) - 1798\/290. Sort k, 3, x, 19 in descending order.\nAnswer: 19, k, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r - 35. Let g(n) = -n**3 + 7*n**2 + 2*n - 10. Let i be g(r). Suppose a - 5*w = -0*a - 10, i*a = w + 55. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 11:03 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 2*s**3\/3 - 11*s**2 - 11*s - 4. Let c be o(8). Let t = 136 + c. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 2, o: 1, f: 3}. What is prob of picking 2 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10162422400 to the nearest 1000000.\nAnswer: -10162000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/20 - h**4\/6 + h**3\/6 + h**2 - 645*h. Calculate j(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2935*f**3*z + 2*f**3 - 2*f**2 + 2*z - 55524 wrt f?\nAnswer: 8805*f**2*z + 6*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 5) in base 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - t - 11 = d, 0 = -3*d + 5*t + 34. Suppose -g = -2*g + d. Suppose a + v = -g*v + 187, -3*a - 4*v = -569. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1175*o - 31725. Give f(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6.7. Let m = -0.8 + b. Let g = m - -0.50008. Round g to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times -7966526?\nAnswer: -326627566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248301952?\nAnswer: 2, 43, 197, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005326625 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c + 46*c = -16*h - 214 + 250, 0 = 3*h - 5*c - 45 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (0 + -2) - -1. Let l(n) = -448*n - 8063. Let r be l(-18). Put r, -24, v, 5 in increasing order.\nAnswer: -24, r, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {g: 3, a: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129\/484 + 2\/121. Let j = -4\/13 + 25\/39. Let q = -235 - -238. What is the smallest value in s, j, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1597 + -1585. What is the remainder when 683 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205.07 + 3.93. Let s = -209.0000162 + n. Round s to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 9119208 divided by 42.\nAnswer: 217124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 56 = 14. Let j be v\/(-25) + 1806\/(-70). Sort 5, 3, j in increasing order.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1995)\/2850*(1 - 20\/14)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.143973 rounded to 3 decimal places?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 568*v + 357*v - 12950 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m\/(m*m*m**(-2\/9)))))**(-4)\/((m*(m\/(m\/((m\/((m\/(m*m*m\/m**(-6)))\/m))\/m))*m)\/m)\/m**(-6)))**(-49) assuming m is positive.\nAnswer: m**(7448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 - 209 - 2*q**2 - 5*q + 5*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.82*119.\nAnswer: 97.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*b + 31 - 3, -4*q = b + 1. Let s(m) = -m**2 - 10*m - 23. Let v be s(b). Let n(g) = -14*g - 9*g**2 + 5 - 14*g**2 + 22*g**2. What is n(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 4*l + 3. Let c be a(3). Suppose c = -4*f - 8 + 24. Suppose i = f*i. Solve i = -2*q - 4*o - 10, -q = q + 3*o + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {p: 2, y: 3, n: 6, h: 1, q: 2, v: 5}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 12, o - 4*q = -5*q + 234. Suppose -3*x = -2*x. Suppose x = -z - z + o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 8*b, -3*n - 3*b - 3 = 17*b + 172 + 10 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2)*(h**3 - 3*h**3 - h**3) + 23*h**3 - 5*h**3 - 5*h**3 + 4*h**3 + 2 - 2*h**3 - 4 to d*h + m*h**3 + l*h**2 + t and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-5))\/(9\/15). Let l = -58 - -56. Which is the nearest to 2? (a) o (b) 8 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -17*i**5\/5 - 25*i**2\/2 + 16. Find the second derivative of f(g) wrt g.\nAnswer: -204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*n - 0*n + 2*h, 3*h = 5*n - 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3806*f**2 - 79926*f - 39963. Let h(s) = -6*s - 3. Determine 39963*h(i) - 3*y(i).\nAnswer: -11418*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.845 + 0.275. Let x = -0.12 + d. Let l = -8 + x. Which is the closest to 0? (a) -0.2 (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 + 2.6. Let f = 19 - 22. What is the nearest to -0.3 in w, f, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183522487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*y + 24, -w - 1181*y = -701*y + 3844 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281409\/4 - -6*(-5)\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -129.\nAnswer: 5\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27382 + 27404. Calculate the remainder when 11745 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a**3 + 6*a**2 - 69*a - 5 wrt a?\nAnswer: 96*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32334 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2043\/(-6)*(-3 - 1). Let u = 1417 + -2094. Let l = p + u. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*-13*(-28)\/(-1092)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**0*s*s\/(((s**(-2\/35)\/s)\/s)\/s))\/(s**11\/(s**(-1\/6)*s)))**(1\/7))**50 assuming s is positive.\nAnswer: s**(-3265\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2328188 and -10819.\nAnswer: 2317369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 + (-78)\/12)*(4 - 0). Suppose 3*q = -5*b + 22, 13*b - l = 16*b - 2*q. Let d(h) = 8*h - 3. Determine d(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 546.82 + -547. Put 2, 4, r in increasing order.\nAnswer: r, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g - 124 - 118 + 235 as z*g + w and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**3\/6 - 4*p**2 - p. Let m be h(10). Suppose -4*n + 35 = -17. Put 5, m, n in descending order.\nAnswer: n, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -238, -203, -144, -55, 70, 237, 452?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1424?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/4 of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2228 (base 11) to base 12\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230521 + 0?\nAnswer: 230521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 19 + (11 - 32)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*-1*(2 + -3)*-5. Suppose -2*v + p - 10 = 3*p, p = -3*v - d. Solve v = -z - 2*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - -93. Suppose -u - 337 = -w*i - i, -i + 1628 = -5*u. Calculate the common denominator of 99\/8 and u\/240 - ((-20)\/(-8))\/(-5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25563790 or 25563791?\nAnswer: 25563790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6281*o**2*t**2 - 243*o**2*t - o**2 - 2*o*t - 2*o wrt t.\nAnswer: -12562*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f**3 + 14*f**2 + 2*f - 3. Let h = -248 - -247. Let j(n) = -2*n**3 - n**2 + n. Let d(p) = h*t(p) - 6*j(p). What is d(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*c - 27 = 0, -8 = -2*i + c - 21. Let a = 233 - 380. Let f = 147.3 + a. What is the closest to -1 in -1\/4, f, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*q - 0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 1. Let r(q) = -4*q - 2. Let b(h) = 3*a(h) + 2*r(h). Let d(o) = 490 + o**2 + 531 - 1514 + 492 - o. Determine -b(s) - d(s).\nAnswer: -s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221 divided by -1.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 149956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 6*u + 3. Let p(w) = w**3 + w + 3. Let n be p(0). Suppose -n*i + 28 = -7*i. List the prime factors of b(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) + 2*sqrt(2448)))**2.\nAnswer: 382500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 41.042. Let s = u - -0.07. What is s rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -263, 1, 156 in descending order.\nAnswer: 156, 1, -5, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 473594 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 + -103. Let k be (4\/(-10))\/((-2)\/400). Let i = k + o. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeueeeue. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7431872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 80 = 4*y, 139 = -4*x - x + y. Let u = x + 33. Sort u, 0.5, 3 in decreasing order.\nAnswer: u, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**3*t**(-3\/4)*(t**(2\/7)*t)\/t**(-2\/13))\/(((t\/(t\/(t**(2\/7)\/t)))\/t)**(3\/10))**30 assuming t is positive.\nAnswer: t**(7323\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-22) + 51840\/(-880). Let u = l - -349. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*1*sqrt(121))\/(sqrt(1331) + 5*-2*sqrt(1331)).\nAnswer: -10*sqrt(11)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 + 8*y + 22. What is i(-4)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583.86213 rounded to the nearest integer?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1152 divided by 4\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 78536 = 3*n, 831*n = -5*i + 826*n + 98205. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166 + 165.7432. Let r = 4.7562 - z. Let s = r + -0.013. Sort 0.2, 0.17, s.\nAnswer: 0.17, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/13, -1, -1\/6, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20740 divided by 610.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/6 - l**4 - 417*l**3\/2 + 2032*l**2. What is the first derivative of m(n) wrt n?\nAnswer: -20*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709 = -483*s - 4573 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 401543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6)*y\/y**(-4\/5))\/((y**(2\/25)\/y)\/(y*y\/(y**(2\/7)\/y)*y)) assuming y is positive.\nAnswer: y**(251\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -1\/3, -5.52, -2, -0.99, -1\/42?\nAnswer: -5.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3928 - -3927. What is the closest to 0.3 in -0.9, 9, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, q: 1, s: 2, n: 4}. Give prob of picking 2 s, 1 n, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57749147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1089551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76089492 is divided by 629?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p - 1 = -31*p. Let i(t) = 2. Let h(y) = -y - 1. Determine p*i(q) + 2*h(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5833.01 + 116.01. Are -2\/9 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/sqrt(6))\/sqrt(2) - (1 + sqrt(19) + 2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbiib. Give prob of sequence iib.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*((-8)\/(-12))\/((-4)\/(-84)). Suppose -s*f = -17*f + 105. Let g(p) = -2*p + 1. What is the remainder when f is divided by g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114925.91 * 0.9\nAnswer: 103433.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20300250 (base 6) in base 8?\nAnswer: -2163206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -165307694381.6+-0.06\nAnswer: -165307694381.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 51*w**3 - 3*w. Let x(q) = -17*q**3 + q. Let l be (15\/6 - 3)*952\/(-68). Give l*x(a) + 2*o(a).\nAnswer: -17*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8291, 7942, 7607, 7286, 6979, 6686?\nAnswer: 6407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.341 and -446.821.\nAnswer: -447.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3 = -4*a - 18, -5*y + 15 = 2*a. Let d be (-6)\/(-18) + (-4)\/y. Let r be (-2 - d)*(5 + -25). Solve -5*w = -3*i + 15, -5*w + 4*i - r = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 430885*w**2 - 6 + 17.\nAnswer: 430885*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(2 + sqrt(80) + 0 - sqrt(80))**2 + 2 + 2 + (2*sqrt(80))**2).\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -43*k**3 + 2*k**2 - 1. Does 10 divide p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13160, -52639, -118436, -210551, -328984?\n\"Answer: -13159*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*u - 5*u + 5*u)*(2*u - 4*u - u).\nAnswer: 9*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1150*s - 1029. Is 17 a factor of y(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94219797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*i, 2*g - 2*i + 5 + 19 = 0. Let p be (-2 - (-2 + 14))*-1. Let f = g + p. Solve a = f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2)\/1*-2. Let a = -2\/133 + 3\/19. Sort d, a, 2 in ascending order.\nAnswer: a, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/9 - 19174*n\/9 - 19177\/3 = 0 for n.\nAnswer: -3, 19177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-14\/11)\/n)**(-8\/3)*n**5*n**(-2\/65)\/n*n*n)**(7\/6) assuming n is positive.\nAnswer: n**(90314\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99729 and 508143?\nAnswer: 10671003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-9)*-3)\/(16\/(-7608)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -246, -250, -266, -300, -358?\n\"Answer: -i**3 + 3*i - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -15*u + 5. Calculate the common denominator of u - 10*(-111)\/(-108) and -67\/57.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8*n = 20. Let a(l) = -2*l + 21. Let o be a(n). Solve -1 = 5*t - o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 418335 + -162313891\/388. Let d = 2\/97 + f. Factor 0 - 1\/4*y - d*y**2 + 1\/4*y**4 + 1\/4*y**3.\nAnswer: y*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4102 + 4109. Let c(b) = -6*b + 1 + 3 + b. Give c(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19424 + 38852 + 17*d**2 - 19428.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -13*x**3\/3 - 1597. Let b(k) = 1066*k. Let l(h) = -15*h. Let v(a) = -2*b(a) - 143*l(a). Calculate z(v(j)).\nAnswer: -2197*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2480\/(-12))\/(-31))\/(8\/36).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.1 (b) -1\/3 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 23 = 87. Let b = d - 16. Let k(y) = y + 2. Let g be k(0). Is b greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/((-36)\/(-120))*(7 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1452 - 66*s + 3\/4*s**2.\nAnswer: 3*(s - 44)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8559 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/11, -1\/262?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 8 + 8)*(3 - 2 - 2) + 594 - 594 + 1150*r.\nAnswer: 1155*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -482, -472, -462, -452, -442, -432?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/9, 11, 68, 0.2 in descending order.\nAnswer: 68, 11, 0.2, -28\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -1. Suppose 0*f + o = f. Let c be f\/18 + (-87)\/27. Let p(r) = 5*r**3 - 4*r + 4. Let q(z) = 4*z**3 - 3*z + 3. What is c*p(w) + 4*q(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1941690269 to four dps.\nAnswer: -0.1942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -797\/144 - -197\/16. Find the common denominator of 15\/7 and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 a when four letters picked without replacement from {m: 1, a: 14}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlhyhlyhlclllyylcy. What is prob of sequence hlh?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8. Let c(q) = q**2 - q + 3. Let h be c(t). Factor -4*s**3 - 3*s**3 + 5*s**h - 6*s**2 - 4*s.\nAnswer: -2*s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -171*w**2 + w. Let r be l(1). Let s = 2892\/17 + r. Let z(y) = -y**2 - 6*y - 2. Let m be z(-4). What is the third biggest value in 4, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -2)\/((-2)\/4). Differentiate 8*g - 9*g + w + 8*g + 4 wrt g.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -3, -3\/11, 1\/5, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145804000 rounded to the nearest 1000000?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnin when four letters picked without replacement from nnnninnn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 132. Suppose 1690 = 4*u + 2*w, -1169 = -3*u - 2*w + y. Suppose 2*s + k - u = 0, -3*s + 5*k + 434 = -s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43ca3 (base 14) to base 10.\nAnswer: 164391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 59129*x**3 + 58178*x**3 - x - 118625*x**3.\nAnswer: -1318*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886 = 20*j + 290 - 544. What is the greatest common divisor of j and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98641.2 and 14.3.\nAnswer: -1410569.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 2550228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2731740 is divided by 850?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -112. Let s = -60 + p. What is the third biggest value in -0.4, s, 1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2778 + -2783. What is the nearest to -0.1 in -3\/7, p, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 66. Let a be 6 + ((-2)\/6)\/(r\/(-27)). Solve 4*g + 32 = -4*h, -g - a + 11 = -3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4143 is divided by 277.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 15*s**4 + 8*s**3 + 21*s**2 - 13. Let m = 2 + 8. Let n(z) = 2 - m*z**2 - 1 - 7*z**4 - 4*z**3 + 5. Let o(g) = 13*n(g) + 6*x(g). Factor o(c).\nAnswer: -c**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1630126650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 3*w, -3*z = 5*w - 0*z - 12. Suppose -w*y = -51 + 9. Calculate the remainder when 137 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000000110110000 + 11100000?\nAnswer: 110000001010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 62 - 2 = 0. Find the second derivative of 94*c**2 - 49 - c**3 - 47*c**2 + c**3 - 22*c**o - c - 49*c**2 wrt c.\nAnswer: -264*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9913 - -5?\nAnswer: 9918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**41*n*n\/n**(-43)*n*n*n)\/(n*n*n**(-43)*n*n*n**(-26\/5)*n) assuming n is positive.\nAnswer: n**(666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, e: 4, h: 8}. What is prob of sequence hn?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20725250717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -278870*c**5 - 119*c**4 + 2*c**2 + 557566*c - 15 wrt c.\nAnswer: -5577400*c**3 - 1428*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1\/3)\/i*i))\/i*i**(-1\/3)*i**(-2)\/(i\/(i*i*i\/(i**(-3)\/i))))**(-13) assuming i is positive.\nAnswer: i**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110100 (base 2) in base 11?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 17, -406, -4 in descending order.\nAnswer: 17, 2, -1, -4, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 22541.35ns?\nAnswer: 0.02254135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 25007.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3460.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 - 135096*o + 1520910768 = 0. Calculate o.\nAnswer: 22516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9035, -36166, -81379, -144668, -226027, -325450?\nAnswer: -442931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**5 + 3*q**4 + q**3 - q**2 + 2*q + 2. Let s(a) = -10*a**5 - 10*a**4 - 4*a**3 + 3*a**2 - 7*a - 7. Let h(j) = 2*s(j) + 7*y(j). Factor h(k).\nAnswer: k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*x**2 + 11*x - 1.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:07 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 436*c**2 + 6*c + 52 wrt c?\nAnswer: 872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -18*z**3 - 17*z**2 + 15*z - 34. Let q(k) = 10*k**3 + 9*k**2 - 8*k + 17. Give -6*g(b) - 11*q(b).\nAnswer: -2*b**3 + 3*b**2 - 2*b + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-177 - -195) + (-20 - -1) + (22 - 0)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1212\/43 - 7229\/258. Let v(l) = -l - 5. Let k be v(-8). What is g in 2*g - b*g**4 + 11\/6*g**2 - 1\/3*g**k - 6 = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) - (-200)\/14. Solve 4*q + d = 2*z, z - 19 = 2*q - 4*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 - 396*x**2\/5 + 3637*x\/5 - 648.\nAnswer: -(x - 8)*(x - 1)*(x + 405)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, z: 15}. Give prob of sequence uzu.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -17, -27, -41, -59, -81, -107?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 - 23*r + 53. Let u(i) = i**2 + 8*i - 18. Let k(v) = 7*u(v) + 2*w(v). Suppose 11 = 2*j + s, 0 = 4*j - 2*s - 8 - 18. Calculate k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from xuotuxu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12400365.\nAnswer: 3, 5, 37, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3012 and -77\/8032.\nAnswer: 24096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, 0.2, 67, 0.3?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 4216?\nAnswer: 105400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**3 + 2*b**2 - 2*b + 1. Let a be v(1). Let f(w) = 4 + 4*w + 6*w**2 + w**3 - 7 + 0*w**2. What is the units digit of f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3\/(t*t**0))**(-2\/113) assuming t is positive.\nAnswer: t**(-4\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 313 = -3*i + 1026, -2*i - 4*u + 482 = 0. Let s(d) = 16*d**2 + d - 1. What is the remainder when i is divided by s(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/9)*f)\/f**(-22))\/((f*f\/(f\/(f\/((f**(-6)*f*f*f)\/f*f))))\/f*f**3) assuming f is positive.\nAnswer: f**(148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 6:45 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -i - 0*i - 5, d + 7 = -5*i. Solve -15 = d*l + 3*u, 2*u = -l + 6*l + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -19*j - 544. Let y(b) = 49*b + 1086. Give -5*i(f) - 2*y(f).\nAnswer: -3*f + 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 61937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 115.27034.\nAnswer: -103.743306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 78. Let v(c) = -c**2 + 8*c - 10. Let a be v(s). Let z(m) = -25*m**a + 21 + 28*m**2 - 21. Let k(y) = 2*y**2. What is k(z(o))?\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 - 13*d - 9. Let i(y) = y**2 - 3*y - 2. Let b(v) = -9*i(v) + 2*s(v). List the prime factors of b(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1103, 2101, 3099, 4097, 5095?\n\"Answer: 998*y + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 2*t**2 + t + 9. Let k be x(3). Suppose 0 = 5*m + k*g - 32, 3*g - 28 = 2*m - 6*m. Let f = 12 - m. Solve 3*l - 19 = 5*a, 4*l - f = a + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9*-3*(22 + -25). Which is the second smallest value? (a) l (b) -0.05 (c) -6 (d) -6\/7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -36 + 23 + 70.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**2 - 10*d + 117. Is u(7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2922 + 3.23. Let z = 349.947 - 350. Let m = z - n. Round m to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 16, -4, 49, 0.4, 0, -2\/2829?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -17, 3, -2 in decreasing order.\nAnswer: 3, 1, -2, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -44*-3467.46\nAnswer: 152568.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-8)*(-1 - -1). Suppose 5*w - 170 = -t*w. Suppose -x + 3*x = -w. Is x at most -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 6*r**2 + 5*r + 2. Let s be p(5). Let i(b) = -s + 1 - 15*b - 8*b. Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-18) - (5500\/(-45) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 5. Let f(y) = 75 - 186 - 44 + 75 + 81. Calculate 4*f(t) + r(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/(-10)*(-4)\/3. Let h(s) = s**3 - 5*s**2 - 4*s - 4. Let m be h(i). What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, v: 1, e: 1}. Give prob of sequence vfef.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c - 3*c - 8*c - 18*c to j*c + d and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20828)\/5412 - (-22)\/6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 474\/4 - (-12)\/(-8). Suppose 5*t - 2*d = 125, 4*t - 4*d - q = d. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**(1\/63)\/(d**(-3\/8)*(d\/d**(-6))\/d) assuming d is positive.\nAnswer: d**(-14159\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d - 67 + 67 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4\/6 - j**3 + 28*j**2\/3 + j - 55\/6 = 0.\nAnswer: -11, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 169, 7 in descending order.\nAnswer: 169, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*m - 62*m + 38938 = 1047*m - 4007 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Suppose -3*a = 2*a - 60. Solve l*v - a = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 2 = -h + 31*r, -5*r = -9 + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 10*t - 1. Is 221\/t + (6 - 18)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/37455, -0.3 in descending order.\nAnswer: 2\/37455, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188616, 377197, 565780, 754365, 942952, 1131541, 1320132?\nAnswer: 1508725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(15\/54)\/5)\/(-1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 j when four letters picked without replacement from ijjiiiji.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -716183194 less than -13?\nAnswer: 716183181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, 8103, -1 in descending order.\nAnswer: 8103, 254, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 10*b - 8. Let z be h(-11). Solve 5*x - z*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 68\/3*i**6 + 0*i**3 + 60 + 0*i**4 + 0*i + 25*i**2 + 0*i**5. What is the second derivative of u(v) wrt v?\nAnswer: 2720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 18*n**2 - 13*n - 41. Suppose -2*a = -2502 + 2468. What is y(a)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*u - 77, 4*y = -0*y + 12. Suppose 3*f + 394 = 2*d, -u*d - 992 = -36*d + 4*f. Calculate the highest common divisor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1236430?\nAnswer: 2, 5, 13, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -83 and 0.1.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -732 + 750. Let x(u) = u. Let t be x(4). Suppose 0*c + 108 = t*c. Calculate the greatest common factor of c and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2408403843 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, 1\/2, 515, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 100 = -115. Suppose 0*h - 4*h + 24 = 0. Let k be ((-2)\/15)\/((-4)\/h). Is x != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**4\/3 - 11*j. Let z(d) = -2*d - 7. Let l be z(-5). Let o(f) = 2*f - l*f + 0*f. What is o(u(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002824 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 308748 + 3*f**2 + 4*f**2 - 3*f**2.\nAnswer: 2*f**2 - 308748","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 12:54 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 384163608 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27760*a**3 - 501*a**2 + 59*a?\nAnswer: -166560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/20 and -1\/3466700.\nAnswer: 3466700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 10*n**2 - 8*n - 11. What is the lowest common multiple of z(11) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*j - 68*j + 134*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/20 + 5*n**4\/12 - 5*n**3\/6 + n**2 + 19*n. Let m be (2\/(-4))\/(3\/(-24)). Give y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003294396 to seven decimal places.\nAnswer: 0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 11 - 3) + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 2*z + 18. Let p be v(0). Let d = 239 - p. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + -5 + (-12 - -6). What is the third smallest value in -47, 1, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-4))\/(9\/4). Let r = 0.049191 - 0.949191. What is the third biggest value in r, -2\/15, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let v be q(-2). What is the second derivative of d**v + d**2 - 2*d + 0*d + 3*d wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-1 - 3\/(-2)). Let f be 1 - y*2\/1. Let x(q) = q**2 + 5*q - 5. Let o be x(-6). Solve -4*h = -f*h - o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 176. Suppose z = 3*z - r. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, 5, 3\/8, 4\/3, 21, -1 in ascending order.\nAnswer: -1, -2\/25, 3\/8, 4\/3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t + 2. Let u be q(3). Let z = u - -22. Suppose p = -0*p + z. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.6 + 22. Let x = -294 + 294.5. Let v = -82\/3 + 27. What is the smallest value in x, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11750053 is divided by 1880.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21620 = -12*t - 5*j, -4497 = -4*t + j + 2699. What is the greatest common factor of t and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 7097892?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 3. Let l be x(0). Suppose s - 80 = -l*s. Solve 0*p + 4*p - s = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 y when four letters picked without replacement from {t: 3, q: 4, j: 2, s: 4, x: 1, y: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -611 + 605. What is the nearest to x in 3, 5, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 47. Let p = 4 + y. Let s = 19.5 - p. Which is the third biggest value? (a) s (b) 29 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22671, -45336, -68003, -90672, -113343, -136016, -158691?\n\"Answer: -n**2 - 22662*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 30. Suppose 2*v + 0*v = p. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950537011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121416 is divided by 560661?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 22*u + 10. Is d(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1540 at least -1518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -885346, -885337, -885324, -885307, -885286, -885261?\nAnswer: -885232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*4\/(-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**2*w + 772953*v**2 - 116984*v + 3*w wrt v?\nAnswer: -2*w + 1545906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3105, -2439, -1773?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 + 22*i - 304 = 0.\nAnswer: -19, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 30, 195, 538, 1119, 1998, 3235, 4890?\nAnswer: 7023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - u + 55 = 0, 3*c + 3*u - 49 - 14 = 0. Let f = c - 14. Find the second derivative of 7*g - 2*g**f + 7*g - 10*g wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 4*a - o, 5*a = 3*o + 149 + 6. Let l = -141 + 141. Suppose -5*c = 4*j - 8, l = 4*c - 5*j - 22 - 9. What is the lowest common multiple of a and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6616*t + 6618*t + 2 = 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**3 - 6*w**3 + 5*w - w**2 - 6*w. Let m be l(2). Let q = m + 32. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4\/(8\/(-20)*5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41471 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 957 - -867. Suppose 4*d + 3*d = 21. Suppose -5*b + d*b = -2*r - u, 4*r = 2*b - 1834. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - -238. Let d = x + -164. Let y = -1\/58 - 113\/174. Sort d, -0.1, y in descending order.\nAnswer: d, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6. Suppose 0*r + 5*r - 65 = z. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2150 + 1074 + 4*r**2 + 1076.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -6)*-1 + 6. Suppose -4*v + 5 = -c. Solve -4*o + 2 = -0*o - 2*h, o = v*h + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206366*-0.1504\nAnswer: 31037.4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 56*l**2 - 15511*l - 284. Determine c(277).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 1\/20*o**5 + 11\/6*o**3 - 80*o + 0 + 0*o**4 - 39*o**2. Find the first derivative of c(j) wrt j.\nAnswer: 3*j**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 10000033?\nAnswer: 10000030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p + 47*p = -1477. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405 divided by -15\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 4:14 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/67572 (b) -0.2 (c) 5 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*36\/63. Which is smaller: u or -5.8?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 13, 95, 239 in descending order.\nAnswer: 239, 95, 13, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10191949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + sqrt(200) + sqrt(200)*1 + sqrt(200).\nAnswer: -1 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*o**3 + 436*o**3 - 1009*o**3.\nAnswer: -112*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {q: 3, j: 1, x: 4, l: 5, z: 5}?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14523100?\nAnswer: 2, 5, 17, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 327.8539 hours?\nAnswer: 1180274.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:38 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*(-25)\/(-600))\/(5*-1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*x - 788 = -490 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 1. Let v be p(5). Suppose -16 = -0*l - v*l. Solve -4*k + 12 = 3*h, k + 2*k + h = l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1470\/578 + -1 + -2. Let g = -23923\/5202 + o. Calculate the common denominator of 105\/22 and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027 - 18*n - 2083 + 1136.\nAnswer: -18*n + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 13*y = 15. Suppose y*h = h - 10, h + 10 = c. Suppose -1235 = -c*s - 5*z, s + 4*z + z - 255 = 0. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j*j**1*j)\/j*j))**3)**(-2))**(-5\/7) assuming j is positive.\nAnswer: j**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 15*v + 18. Let c be x(12). Let r be (-92)\/(-9) + (-28)\/c. Calculate the highest common divisor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14131500 (base 8) to base 4.\nAnswer: -30023031000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 21*c**2 - 2*c**2 - 9*c**2 - 4*c**2 to the form u + j*c**2 + k*c and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 7, 13, 21, 31, 43?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*b**2 + b**2 - 23 - 39*b**2 - 29*b**2 - 54*b**2 in the form c*b + p + k*b**2 and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.51 times 11\nAnswer: 5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*r**2 - 54980*r**2 + 54625*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28\/297 - -185\/1188. Which is the third biggest value? (a) 0.75 (b) -3\/2 (c) i (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12492*n = -12490*n - 4*o - 20, 2*o = -10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**3 + 2*r**2 + r. Let v be n(-1). Solve -3*t = -c - v, -c - c = -3*t + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + 135\/8 + (-2)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7970.296 kilograms in micrograms?\nAnswer: 7970296000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3604717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.533 + 0.167. Let z = -456 - -456. Which is the closest to z? (a) -4 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -13*a**3 - 17*a**2 - 17. Let r(h) = 3*h**3 + 4*h**2 + 4. Let s be (12\/8)\/((-25)\/30 - -1). Give s*r(k) + 2*l(k).\nAnswer: k**3 + 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aej when three letters picked without replacement from {j: 2, n: 5, q: 1, a: 1, e: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i*i)\/(((i\/(i*i*i\/(((i**(2\/3)\/i)\/i)\/i)))\/i)\/i))\/(i\/i**(1\/6)*i**(-2))*(i\/(i*i*i**(2\/25)*i)*i\/((i*i*i**14*i*i)\/i))**(3\/22) assuming i is positive.\nAnswer: i**(3869\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6487 = -2*w, 6*a - 5208 = 2*a + 3*w. Let q = a - 521. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-611)\/(-221))\/(117\/(-1989)) + -32?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 27. Let o = t + 39. Let q be 1 - (o + 3)\/(-1). Solve 5*b = -z + q, -16 = -4*z + 2*b - 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1397859160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5749.7084 rounded to the nearest ten?\nAnswer: 5750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -10 + 1 + -18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -27. Let g = 27 - j. Suppose y + g - 44 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -4 + 13 + -2 - (7 + -4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263425.\nAnswer: 5, 41, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -12*b - 78 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93672360 and 1080?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543*b + 152 = 1073*b - 549*b. Is 440 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (424\/(-88) + 5)*(9 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1960 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**5 - 2*i**5 - 2*i**5 + (-2*i + 3*i + 2*i)*(-2*i**3 + 2*i**3 + 3*i**4).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**21*x)**(2\/23)*x**(2\/45)\/x**6 assuming x is positive.\nAnswer: x**(-4184\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - f = -19*y + 1142, -y + 382 = f. What are the prime factors of y?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 82. What is the highest common divisor of j and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -13. Let y(d) = -23*d - 6. Let l be y(j). What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -27*s**2 - 3*s - 37. Let t(j) = 8. What is f(d) + 4*t(d)?\nAnswer: -27*d**2 - 3*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 423 - 419 = -3*o, -3*a = 3*o - 12 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, 2, -98, -2, 3 in descending order.\nAnswer: 112, 3, 2, -2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -77402, -154870, -232338, -309806, -387274, -464742?\n\"Answer: -77468*s + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 619 = -419 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + 36. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 6*x. Let u(s) = -2*s**2 - 13*s. Suppose -v = -0*v + 21. Let z = v + 12. Let h(r) = z*p(r) + 4*u(r). Suppose h(d) = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1506 - -253. Let h = -1738.09 + t. Let v = h + -21. Round v to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-37)\/3 + (-24)\/(-72). Let v be (-382)\/8 - 0 - p\/16. Is v at least as big as -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36852096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*h*x**3 - 2*h*x**2 + 5*h - 1564*x**3 - 59724 wrt x.\nAnswer: 204*h*x**2 - 4*h*x - 4692*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**2\/3 - 2393944*g\/3 + 7660672\/3 = 0.\nAnswer: -478792, 16\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z + z**2 + 12 + 11*z + 9*z. What is the remainder when t(-14) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/5 + 936*o**2 + 32978*o\/5 - 56328 = 0. What is o?\nAnswer: -12, 5, 2347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5979.\nAnswer: 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c)**(1\/21)*c**(-2\/11)*c*c**(-3))\/((c**(-2))**(-11)\/(c**(1\/10)\/(c\/(c*c**1*c)*c))) assuming c is positive.\nAnswer: c**(-53429\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = 28. Let q be ((-177)\/w)\/(2\/(-205)). Let g = q - -50889\/28. Find the common denominator of g and 73\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 + 163. Let c = q + 162. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -30 - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 67*l**3 - 83*l**3 - l**2 - 218*l**3.\nAnswer: -234*l**3 - l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*m + d - 2, 3*m - 3*d = 3. Suppose -5*v - 165 = -u - 4*u, -2*u - 3*v + 41 = m. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563 times 73?\nAnswer: 260099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24443, -48955, -73501, -98081, -122695?\n\"Answer: -17*n**2 - 24461*n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Let g be o*(-6)\/9 + 28002. Suppose 0*n = -n + g. What is n rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1826 + 0*t - 1826 + 0*t - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 370.5052 + -6.9952. Let w = 369 - j. What is w rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/1)\/(2\/(-3*(-26)\/(-117))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 14249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 8 - ((-1)\/(-1))\/1. Suppose p = j*n + 25, n = 4*p - n - 72. Let d(t) = t**3 - 6*t**2 + t - 3. Let w be d(6). Solve -4*v - w = p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.16 * -0.22\nAnswer: -2.8952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 - -4.6036. What is u rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3734, -7469, -11204, -14939, -18674?\nAnswer: -22409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) 2.8 (c) 1770\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**3 - 2*y**2 + 2*y - 1. Let h = 3 - 2. Let a be c(h). Suppose 0 = g - 0 + 3. Sort g, a, 3.\nAnswer: g, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -86, -1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 1. Let b(p) = -4*p + 1. Suppose -d + 4*d - 18 = 0. Let w(t) = d*y(t) - 2*b(t). What is the remainder when w(6) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 13\/((-65)\/25)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 52, 3, 1\/2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 33*m**2 + m. What is the tens digit of d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56740, 56706, 56668, 56632, 56604, 56590?\nAnswer: 56596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(5) + 1 + sqrt(720) + (sqrt(605) + 0)*4)**2.\nAnswer: 96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 5:20 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36968807 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(1 + (-9)\/(-6)). Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 6*c + 3*c + 11*c.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3639*l + 94615. Give h(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 11*z - 10. Let g(t) = t**2 + 32*t - 38. Let f be g(-36). Suppose f*l = 110*l - 44. Calculate p(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 386 - 386.00000383. What is h rounded to 7 dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100002101033 (base 4) to base 6.\nAnswer: 230033035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0044275 centimeters?\nAnswer: 0.000000044275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.307715 rounded to 2 decimal places?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 259497677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = 3*y + 3*a, 5*y - 885 = -a - 304. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 672*t + 84049. What is z(166)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45182, -89893, -134134, -177905?\n\"Answer: 235*o**2 - 45416*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68880147 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-9))\/(20\/660). Let i(o) = 16*o**2 - o - 16. Let h(y) be the third derivative of -y**5\/20 + y**3\/2 + y**2. Calculate v*h(q) + 2*i(q).\nAnswer: -q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4283333?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 14. Let n be p(16). Sort 26, -2, n in descending order.\nAnswer: 26, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6175 divided by 8\nAnswer: -6175\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413 is divided by 222.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvy when three letters picked without replacement from {h: 3, y: 1, v: 4, u: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 37 + 34 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183 - -321. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438736 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g + 224. Let i be n(28). Is -4\/203 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427236 rounded to the nearest one thousand?\nAnswer: 427000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:49 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4 + 3*s**3 + 2*s - 98. Find the third derivative of p(g) wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:46 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14876205, 14876213, 14876221, 14876229?\n\"Answer: 8*n + 14876197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*d + 228*d + 6*d + 1 in the form a*d + k and give a.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 226072 and 53163.\nAnswer: 1092605976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p - 173. Let j(t) = 54*t - 861. Give -2*j(l) + 11*u(l).\nAnswer: 2*l - 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.03 - 0.03. Let y = 0.223 - -0.777. What is the nearest to y in 1, b, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.0227, -4, -116?\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.49662 centimeters in meters?\nAnswer: 0.8849662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1730820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18503210 is divided by 408.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1524261033?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -38, -59, -76, -83?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.135 - -0.035. Sort -3, s, -1, 5 in descending order.\nAnswer: 5, s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-2)\/4)\/1. Suppose 3*z = -8*z - 11. Sort 2, z, x in decreasing order.\nAnswer: 2, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*j - 4*a + 296 = 0, 0 = j + 4*a - 56. Suppose j = c + 4*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -16*l + 606, 5*l - 1701 = 2*u - 1507 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 8*x**2 + 4*x + 2. What is z(6)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 31*f - 1 + 1 + 1 + 641*f. Let v be (-14)\/4*64\/(-56) - 3. Is o(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - t\/4 - 5.\nAnswer: (t - 5)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-10))\/((-7)\/(-14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -20. Let f(d) = d**2 - 1. Let a be f(-1). Suppose a*z - t*z + 10 = 0. What is the remainder when 9 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2 + 18044782*g - 18044784 = 0.\nAnswer: -9022392, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k = -12*k + 35 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 - (331 - 336).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + -55 + 48 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from ubbu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-72)\/112*182\/78\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9796, -19594, -29392, -39190, -48988, -58786?\n\"Answer: -9798*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/9, 1, -4, -0.5, 99938, 5, 3?\nAnswer: 99938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22, -36, -52, -70, -90?\n\"Answer: -z**2 - 11*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 50 = -12*q + 11*q, -5*q = -2*m - 235. Let j(g) = -10*g + 451. Let i be j(q). Let d(n) = 2*n**2 - 2*n + 1. Determine d(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -5a085a?\nAnswer: -5a0856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*r + 14, 2*k - 6 = 3*r + 6. Suppose 0*n + 77 = 4*n + g, k*n = 5*g + 29. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**7\/2520 + m**6\/120 + m**5\/60 + 3*m**4\/8 + 14*m**2. Let r(c) be the second derivative of l(c). Calculate r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tzttztt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 0*x**4 + x**3 - 3 + 0*x - 2\/5*x**5 + 0*x**2. What is the third derivative of y(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*3\/15*(-4 - 595\/(-150))*-1?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1544, -3096, -4654, -6224, -7812?\n\"Answer: -a**3 + 3*a**2 - 1554*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 0. Let b = -3.5 - g. Let w = b + -7.8. What is w rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 21*o - 24. Let s(l) = l**3 - 6*l**2 + 11*l - 9. Let v be s(4). Solve 2*p + 2*j = o, 3*p - v*j = -p - 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.23616343 times 0.4\nAnswer: -0.894465372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (0 + (0 - (3 - 3)) - 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 21876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + k + 50 = 0, -25 = -8*k + 3*k. Suppose -2*a + 3*c = -72, -4*c + 4 = -5*c. Calculate the remainder when a is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 5714?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137179415 to the power of 1\/3, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/20 + 9*x**2 + 2. Let q(r) = -7*r - 1. Calculate q(u(c)).\nAnswer: 21*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/(37\/(-740)). Let z(x) = 19*x - 111. Calculate the remainder when z(k) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -286.36 - 6.64. Which is the closest to -1? (a) z (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 84*d + 21. Let b(h) = -31*h + 56. Let p(g) = -15*g + 31. Let m(l) = 6*b(l) - 11*p(l). Give 5*f(c) + 21*m(c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, o: 2, k: 2, p: 1}. What is prob of picking 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 96*c**2 + 340*c - 237. Is m(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*z**3 + 14 - 14.\nAnswer: 55*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 2\/7 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0*r**4 + 3\/20*r**5 - 1\/3*r**3 + r + 0*r**2 + 0. Find the second derivative of a(m) wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -308 - -748. What is the greatest common divisor of o and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1376, -2, 28?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 28. Suppose -b*t = -0*t - 16. Determine q so that 7*q**t + 16*q**3 - 16*q - 3*q**2 - 32 + 28 + 0*q = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1120 and 11588480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 33338*q. Let u(h) = 31706*h. Determine u(a(j)).\nAnswer: 1057014628*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 17*n + 44. Let t be r(-8). What is the first derivative of 27 + 3*b - 6*b - b**4 + t*b wrt b?\nAnswer: -4*b**3 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1817, 1782, 1723, 1640?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (0 + -3*2). Suppose d*i = -i + 275. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565824 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2223 to the nearest ten.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*g = -g + 190, 0 = -3*p + 4*g + 139. What is the remainder when 91 is divided by p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -14. Suppose -u + 4*z = 9, -3*u = -q*z + 26 + 1. Which is greater: u or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22*2)\/((-12)\/18). List the prime factors of (-12)\/k + 732\/33.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.029 (b) -463 (c) 7 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -292, -272, -240, -190, -116, -12?\n\"Answer: p**3 + 13*p - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6 = c + 4*b, c + 4 = -3*b. Suppose 0 = -c*o + o. Suppose n = 5*l + 12, o = -3*l + 8*l + n + 8. Is -2 != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -30.12. Does 2 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k - 1. Let s(d) = 2*d. Let j(p) = 5*s(p) + 3*y(p). Let u(v) = v**2 + 3*v. Let z be u(-4). Suppose 2*a - 5*t = -23, z*a = 3*t - 20 - 5. Give j(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p + 24. Calculate o(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1738910 and 22084157.\nAnswer: 220841570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-6688)\/132 - -8.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -200, 23, 6, 2\/15, 1\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (27840\/2880 - 2\/(2\/9)). Let k = 468\/5 + -94. What is the smallest value in 5, h, -2\/17, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 655 divide 610105194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61188 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7992\/2960)\/((-5)\/((-30)\/(-3)))?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*o + 191, o + 0*p + 67 = -p. Let m be (2\/(-3))\/(12\/o). What is the units digit of 9 - m*(-3)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*h = -31, 3*h - 35 + 3 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 13030233 = -11*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/7)*r*((r*r**(3\/7))\/r)\/r*r**(-3)\/r**5*(r\/(r\/(r*r\/r**1)*r*r)*r)**(-4\/29)*(r*r**(-1))\/(r*r\/r**(1\/7)) assuming r is positive.\nAnswer: r**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -3\/5.\nAnswer: -2, -1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 126\/6384 + 70\/665. Find z, given that -1\/2*z - o*z**3 + 1\/2*z**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 - 61 + 9*d**3 + (3*d + 3*d - 5*d)*(28*d + 12*d**2 - 28*d) in the form u + j*d**3 + i*d + s*d**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69128291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6639 divide 134795517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:02 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243959795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -38*r**2 + 2*r. Let u(l) = l**2 - 6681 + 0*l**2 + 6681. Give f(u(k)).\nAnswer: -38*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -159*z**2 + 6*z - 5. Let k(g) = 76*g**2 - 3*g + 2. Let a(p) = -2*j(p) - 5*k(p). Let y(l) = l**2. What is y(a(b))?\nAnswer: 3844*b**4 - 372*b**3 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 2, -1 in decreasing order.\nAnswer: 4, 2, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.024697*3\nAnswer: -0.074091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 1488.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169 - -112. Let s be 2\/(-5) + g\/(-5). Let k(d) = 9*d**2 + 2909*d + 62700. Let v be k(-300). Put s, -5, v in descending order.\nAnswer: s, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14864, 19991, 25120, 30251, 35384, 40519, 45656?\nAnswer: 50795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 3:01 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 + -18.24. Round i to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + r**2 - 4*r + 2. Let g(m) = -m**3 - 2*m + 1. What is -2*g(b) + h(b)?\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153426 is divided by 69456?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200110210202 - 10101?\nAnswer: -2200110221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (-8 - (-6 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from twt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 15 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -90, 3, -3?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094197328.\nAnswer: 2, 7, 31, 89, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thh when three letters picked without replacement from {t: 2, h: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 + 7*i**2 - 5*i + 2. Let k(g) = -g**3 + g**2 + g - 1. Let x(v) = f(v) + 2*k(v). Factor x(c).\nAnswer: -3*c*(c - 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 27. Let s(z) = -z**2. Give n(s(v)).\nAnswer: 2*v**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/4)\/4*-10. Suppose 0 = 7*t - i*t - 8. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -442 <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965510343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:41 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 14*p - 8. Let a be d(-4). Suppose 5*k = 4*q - 4, a*q + 3*q = -4*k - 28. Let s(t) = -7*t. What is s(q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19193*w + 1 + 19195*w - 13)*(3 + 0 - 1) in the form x + q*w and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13\/130*(-180)\/(-162)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/120 + b**5\/20 + 5*b**4\/4 + b**3\/6 - 2*b**2 + 12*b. What is the second derivative of f(j) wrt j?\nAnswer: 6*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d + 236. Let l be p(0). What is the common denominator of 2405\/26*(l\/(-80) + 3) and 97\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*j + 9 = 0, -2*j - j = 4*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-11 - -32) + 16)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -600.9 - -648. Let g = -47 + x. Sort 0, -0.4, -0.5, g in ascending order.\nAnswer: -0.5, -0.4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -283475, -283472, -283469, -283466, -283463, -283460?\n\"Answer: 3*i - 283478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u - 3*n - 55, 2*u = -5*n - 53. Let l = u - -31. Suppose -5*r + 7*r = l. Is 3\/22 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100913202 plus 14.761?\nAnswer: 100913216.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2))**(-2\/77)*(m\/(m**(1\/7)\/m))\/m**(-1) assuming m is positive.\nAnswer: m**(222\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11444029 divided by 29?\nAnswer: 11444029\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -623124, -1246260, -1869396?\n\"Answer: -623136*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664338 is divided by 24591?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156 and 0.1.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -4, 21, 72, 155, 276, 441?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1455*c = -1429*c - 104 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97 + 40. Let h = 61 + d. Suppose 0 = 4*s + 4*x - 72, h*s + 2*x - 34 = 32. Solve -3*p + 6*p = -a + 17, -5*p + a = -s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.5 (c) 0.07 (d) 1064\/15 (e) -0.4 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914332.\nAnswer: 2, 179, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*k = 3, -7*n + 27 = -8*n + 5*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26481 (base 11) to base 7.\nAnswer: -215216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 869687 and 399.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - -332?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + -0.03. Let z = -1.09 - g. Are z and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73.45 + 0.45. Let d = w + -126. Round d to 0 dps.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/243540 and 57\/251960.\nAnswer: 3068116920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1679662 rounded to 4 dps?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + 14 + -7 + (-11)\/(-3). Let -1\/3*s**2 + 0 - h*s = 0. Calculate s.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114*u**2 - 273*u**2 - 68*u**2)*(u + 8*u**2 + 0*u - 5*u**2) to the form a*u**4 + f*u**3 + o*u + z*u**2 + p and give f.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8037, -32193, -72463, -128847, -201345, -289957, -394683?\nAnswer: -515523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 0.3, -1\/3, -139?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 544, 783, 1036, 1315, 1632, 1999, 2428?\n\"Answer: 2*u**3 - 5*u**2 + 240*u + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8)*((-792)\/45*1)\/((-268)\/(-670))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 340\/51*(-6)\/10*-2. Suppose -r = -s - 5. Suppose 0 = s*z - 9*z + 150. What is the highest common divisor of z and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Let q = -5.7 - -6. Let d be (-1)\/((-12)\/(-3))*3. What is the second biggest value in d, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*u + 42 - 7, -3*g + 23 = u. Solve -3*l - 5*s = -1 + 5, -3*s = -2*l - g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280631 + -26.1\nAnswer: 280604.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4128702420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000733305 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -102 and 131.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x + 3334 = 3*u, 5586 = 5*u + x. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -52648*d - 157948. What is w(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*v - 4025 + 82*v - 176*v - 3828 + 7853.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 212, 477, 858, 1361?\n\"Answer: l**3 + 49*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 350.10302 to one decimal place.\nAnswer: 350.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8.3. Suppose 0 = -3*h + h - 4. Let s be h*(-1 - (-26)\/24). Sort -5, r, s in increasing order.\nAnswer: -5, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 12410 = -3*c, 4*c - 10721 = -4*y - 785. What are the prime factors of y?\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153.89 + 153.900083. Let a = g - 0.01. What is a rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - s + 28*s**4 + 14*s + 22*s**4 - 14*s - s**3 as l*s**4 + r*s**3 + d*s**2 + k*s + y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1817 + -5957. Let p = -2927 - x. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 + 8*n - 9. Let k = -20 - -62. Calculate the remainder when w(-7) is divided by k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2053, 2019, 1985, 1951, 1917?\nAnswer: 1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42550 is divided by 302.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 15*m**3 + 160*m**2 + 120*m + 25. Let q(p) = 2*p**3 + 20*p**2 + 15*p + 3. Let v(w) = 25*q(w) - 3*y(w). Factor v(b).\nAnswer: 5*b*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 0*p + 3*p. Let r(s) be the first derivative of -4*s**3\/3 + 571. Give d(r(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t + 1. Let i(w) = 173*w**4 + 3*w**3 + 22*w**2 - 5*w - 3. Let u(f) = i(f) + 3*m(f). Find the third derivative of u(n) wrt n.\nAnswer: 4152*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a - 284019 = 38*a - 1056357. Calculate the remainder when a is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 96, 188, 280?\n\"Answer: 92*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n - 1. Let z = 1818 + -1815. Let p(b) = -14*b - 3. Give z*p(x) - 8*w(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 67*v**2 + 43*v - 106. What is the tens digit of y(67)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 15) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 10 - -2) + (-11 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/42 and 41\/1400.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o + 1 + 2*o**3 - 4*o**3 + 0*o**3 - 3*o to y + i*o**3 + b*o**2 + l*o and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16.9 times 4.227\nAnswer: -71.4363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b + b - 12*b + 462 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8632*i**6 - 7*i**2 + 229*i + 2?\nAnswer: -1035840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 10. What is the remainder when b(-4) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205 + 323. Calculate the remainder when m is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - 100\/(-17)) + 783\/153. Solve -4*d + 2*k = -3*k - h, -3*d - k - 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398 by 4893.\nAnswer: -398\/4893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/(-16740)*-1245 - (-10)\/(-4).\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2741127226?\nAnswer: 2, 17, 19, 487, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)*(w\/(w\/((w**(-2\/27)*w)\/w)))\/w*w*w**(-2\/5)*w\/w**(-3) assuming w is positive.\nAnswer: w**(-739\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let v = r - -6. Solve -1 = 3*x + v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-5) - -3)\/(9840\/3075)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -59.1\nAnswer: -29.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0*r + 1\/40*r**6 + 0*r**5 + 0 + 4*r**2 - 1\/8*r**4 + 0*r**3. What is the second derivative of b(p) wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*i = 16, -3*c - 4*i + 2*i - 3 = 0. Suppose -c = 3*w - 10. Solve 5*v = w*r + 9, -3*v + 2*r + 3 = -2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*j = -20, -z + j + 4 = -2*z. Suppose 0 = -z*m - 4*m + 80. What is the greatest common divisor of m and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:12 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let p(q) = 109*q + 2. Determine -2*l(a) + p(a).\nAnswer: 107*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/2*5525\/(-680)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 5:11 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57528 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 6 + 5 - 20 - 4)*(0 + 0 + 2*p) as i + h*p and give h.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + 109.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1271*r - 11431. What is q(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b. Let d be g(1). Suppose 4*h = -o + d, 3*o + 3*h + 24 = 6*o. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35774, -71549, -107324?\nAnswer: -143099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.06\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*d - 32*d + 18*d + (0 + 2 - 3)*(3*d - 3*d + d) - 2*d - 2*d + 6*d + 4*d + 0*d - 6*d + (-6 + 5 - 1)*(-2*d - 4*d + 3*d).\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 13. Let l be h(-10). Suppose -2*y + 0*r = 3*r - 10, -2*r - 2 = -l*y. Which is the nearest to 1\/2? (a) 0.3 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 56.5. Which is the closest to 1? (a) l (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.323058ns to hours.\nAnswer: 0.000000000021756405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2183 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -209 and -21.\nAnswer: 4389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*q**2 + 88*q**2 + 11*q - 39*q**2.\nAnswer: 2*q**2 + 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(9)\/sqrt(3))**2 + sqrt(3) + 2 + 5.\nAnswer: sqrt(3) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-3)\/(-90)). Suppose 5*l = -t + 13 + d, -5 = l - 3*t. What is the smallest common multiple of 14 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36 and 0.0232378084?\nAnswer: 36.0232378084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose -4*b + r*b + 2 = 0. Let h(l) = l**3 + 3*l**2 - 3*l + 3. List the prime factors of h(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = 2*t - 5*t. Suppose 4*i - t = 2*i. List the prime factors of i.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 40730*b**2 + 83271525*b + 1321938000.\nAnswer: 5*(b + 16)*(b + 4065)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4039375 divided by -5\nAnswer: -807875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12910 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, w: 4}. What is prob of sequence nwnw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 3:55 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -342 - -342.41. Is -2\/3 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002c07 (base 14) in base 4?\nAnswer: -321132130213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 25*y**2 - 127*y + 22. Determine q(-8).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*i**2 + 6730*i + 2079276 wrt i?\nAnswer: 18*i + 6730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctgbbtwbuuu. Give prob of picking 1 g and 2 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 457347 and 33000?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 1. Let n(g) = 3 - 2 - 5 - 6*g. Give n(a) + 4*s(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 111*u**3 + 2*u**2 - u - 3. Let w be o(3). Let f be 2\/11 + w\/(-33). Let l = 172 + f. What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + -1)*1 + (-7 - 9). Let g be 1\/(-2) + i\/(-8) + -4. Let h be (-3)\/2*10\/3. Sort g, h, 3 in ascending order.\nAnswer: h, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iikwixieki. What is prob of sequence xwi?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 554202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115288667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o**4\/13 - 380*o**3\/13 + 26*o**2 + 56*o\/13 = 0 for o.\nAnswer: -28, -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(44) + 3)*4)**2 + -3*(2 + 0 + sqrt(275)).\nAnswer: 753*sqrt(11) + 3386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481\/((-2)\/(-156)*6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**6\/900 - 14*q**5\/75 - 196*q**4\/15 - 2*q**3\/3 + 10*q - 109. Let b(s) be the third derivative of p(s). Factor b(k).\nAnswer: -2*(k + 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 3*r + 0*r)*(-3 - r**2 + 3) - 6*r**3 + 0*r**3 + 4*r**3 - 7*r**3 + 3*r**3 + 3*r**3 - r.\nAnswer: -6*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15.8 and -9.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 10 (c) 2 (d) 1\/4 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g, 0 = -t - 4*g + 3 - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2600 and -107\/1200?\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1470589 and 2.\nAnswer: 2941178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*g - 8 = 0, 3*q - q - 14 = 5*g. Let m be (-3)\/3 - (-3 + (4 - q)). Factor 0*x - 1\/2*x**2 + m.\nAnswer: -x**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23145930.2 to the nearest one thousand.\nAnswer: -23146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 0*k + 0*k)*(4 - 4 + k**2 + (9 + 5*k - 9)*(2*k - 1 + 1) + (-2*k - 2 + 2)*(3 - 3 - 2*k) + 0*k**2 - 4*k**2 + 2*k**2 - 16*k**2 - 2*k**2 - k**2).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -16*u + 181. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4836\/(-260)*5\/(-9) and 71\/186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 0 + 0)*(-3*l + 8*l + 2 - 3) + 2*l**3 + l**3 - 5*l**3 + (-l**3 - l**3 + l**3)*(0 - 1 + 0).\nAnswer: -6*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/21 (b) -181\/142 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 1)*(0*a**5 + 2*a**5 - 3*a**5) + 2*a**5 + a**5 + 0*a**5 + 0*a**5 + 2*a**5 - a**5 + (23 - 77 + 13)*(-2*a**5 - a**5 + 5*a**5).\nAnswer: -83*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-6 + 16 - -10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-20))\/(7*3\/15).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 11*w + 4. Let r = 88 + -60. Let f = r - 32. Let j be x(f). Solve -5*g = -j*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from jfnfjjjjvnanfjv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 255451235 (base 6) to base 4\nAnswer: 103030003013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4531195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3 - 15. Suppose f + 0*g - 481 = -4*g, 2*f - 976 = -g. Is 2*(f\/o - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 + (-105 - (87 + -319)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 37 - 62 - 41)*(3*r - 3*r - r**5).\nAnswer: 87*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a factor of 741366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*n + 240*n - 5*j = 27, -78*n = 2*j + 702 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*r - 208*r = 318*r + 21190 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 51?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(sqrt(128) - sqrt(128)*5*-2 - 6*sqrt(128)*-6))**2.\nAnswer: 15040*sqrt(2) + 7068816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 185, 394, 683?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17280.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/860)\/((-2)\/20)*134?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -34680 divided by -60\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 478\/45, -1\/39, -3 in increasing order.\nAnswer: -3, -4\/9, -1\/39, 478\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = 13. Solve -4*q + 3 = -4*d - 5, c*d = -5*q - 35 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5 = -3*t + g, -4*t + g + 7 = 0. Suppose -3*s = 5*k - 47, 0*s - t = 2*s. What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15\/4)\/(p\/p**(-4)) assuming p is positive.\nAnswer: p**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -813, -786, -705, -540, -261, 162, 759?\nAnswer: 1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -1\/6, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -99, -95, -79, -45, 13?\n\"Answer: l**3 - 3*l - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.291759 - 0.291759. Suppose 0 + 3 = 3*h. Is r bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 b, and 1 a when four letters picked without replacement from {c: 7, b: 2, a: 2, k: 4, i: 2}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25350, 50618, 75886?\nAnswer: 101154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - n - 39 = 0, -5*n - 56 + 5 = -3*l. Suppose -2*m - m + l = -3*j, -4*m = j - 21. Solve 0 = -2*w - 3*i + m, w + 2*i = -3*i - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13819 by -1063.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*s + 16*s = -161*s - 3*u - 1062, 3*u - u = 5*s + 152 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (196\/(-48) - (-14)\/(-56))\/((-2)\/(-6)). Let g(k) = k**3 + 15*k**2 + 17*k - 10. Calculate g(b).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 949, 2135, 3795, 5929?\nAnswer: 8537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17881 = 447*d - 5363 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*t + 2*t**2 - 4*t**2 + 14018 - 14020 to x*t**2 + q + j*t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -5, 5, 3, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 119*x**3 - 2*x + 62. Let b(v) = v**3 - v - 1. Let t(j) = -2*b(j) + i(j). Differentiate t(g) with respect to g.\nAnswer: 351*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 - 7*x - 1 + (-1 - 2 - 1)*(3 - 3 - x) as p*x + i and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2 + 4, 0 = -s + t + 506. Suppose -3*v + s = -2*v - 5*p, p - 515 = -v. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s + 3*s)*(-11 - 1 - 4 - 205).\nAnswer: 442*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 2:43 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((14 - 4)\/(-5))\/(1\/23). Let f = 49 + n. Is f >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1913? (a) 0 (b) 0.1 (c) -2 (d) 2\/5 (e) 463\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2735.\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3844 times -2.2\nAnswer: 8456.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 2. Let c be z(-5). Suppose -c*b + 8 = -4. Solve 2*o + b = 6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (0 - 10) + -10 + 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -10110000011110111?\nAnswer: -10110000011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*r - 2*q + 13, 3*r - 3*q - 21 = 0. Sort 1, r, -0.05 in descending order.\nAnswer: r, 1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 3*b, 4*t - 7 = 2*t - 5*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010010011111 (base 2) in base 7?\nAnswer: 21251","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**25)**(-15)\/(w**36*w**(21\/2)) assuming w is positive.\nAnswer: w**(627\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 - 20*r + 37. Determine d(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 127.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 64*f - 56*f = -118*f + 51, -2*a = -2*f + 34 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 478 - 452. Solve -y*o = -30*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000587 to 5 decimal places.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtlklttlltmqqttll. What is prob of picking 2 l, 1 k, and 1 m?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3512\/3*(66\/12 - 4).\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -747 + 11209\/15. Is n greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -215*x**4 + 224*x**2 + 199*x**4 - 224*x**2 - 795*x**4 + (-x**2 + 0*x**2 + 3*x**2)*(x**2 - 4*x**2 - x**2).\nAnswer: -819*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18 - 18 - 4*p. Let v(j) = j - 1. Let n(r) = -8*r + 6. Let x be (3\/(-9))\/(3\/(-9)). Let f(u) = x*n(u) + 6*v(u). Determine b(f(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = -3*p, -l + 6*l = -5*p + 75. Suppose 4*d + l = 75. What is the least common multiple of d and (48\/(-15))\/(6\/(-15))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 518463 and 84447?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = 0, -46 = -2*n - 3*n + 2*b. Let m be n + -9 + (-5 - -1). What is the fourth smallest value in 4, m, 0, -10\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 20. Suppose g - 3 = -z*c, -3*g + 7*g - 12 = -c. Suppose 2*a + 2*q - 44 = c, -2*q = 3*a - q - 62. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5))**48\/((s\/(s\/(s*s\/(s*s**(6\/23)*s))))\/s*(s**(2\/19)\/s)\/s) assuming s is positive.\nAnswer: s**(-103501\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54144, 53895, 53222, 51915, 49764, 46559, 42090?\nAnswer: 36147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r. Suppose -48 = -19*q + 7*q. Let x be 9 - (1 - (-2 - -1)). Let v(l) = -9*l + x*l - q + 4. Give v(u(f)).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -47 + 37 - -8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19546 and 16?\nAnswer: 156368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4089529, 4089526, 4089523?\nAnswer: 4089520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 5, -0.5, 1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 51, 83?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 8*n + 3. Let w be x(9). Suppose 8 = -8*p + w*p. Suppose 86 = 5*u + 2*o, p*o - 1 - 5 = 0. Calculate the smallest common multiple of u and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0110217 - 0.0325866. What is u rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.81 and 0.1552354.\nAnswer: 0.9652354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 100210?\nAnswer: -100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 176*i**3 + 13*i**2 + 10*i + 13. Let k(w) = w**3 + w**2 + 2*w + 1. Let g(b) = 5*k(b) - y(b). What is the third derivative of g(z) wrt z?\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -p + 4*p. Suppose 3*l = 5*z - 7 + 16, -3*z - 9 = -3*l. Solve z = -2*h + p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 3\/7, 0.11, -4, -110?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 340046 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2344546353 to four dps.\nAnswer: -0.2345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 962 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15175, -39442, -63707, -87970, -112231, -136490?\n\"Answer: t**2 - 24270*t + 9094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 take away 1611?\nAnswer: -2074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389010.\nAnswer: 2, 3, 5, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*s + 414, -5*h + 421 - 1444 = s. Let q = h + 209. Solve 7*v = q*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*w - 6641*w + 60894 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -344276 (base 8) to base 5\nAnswer: -12220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26a31 (base 14) in base 15?\nAnswer: 1d384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033424863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(3*-1 + (-18)\/(-8)). Suppose 0 = 6*n - 4*n - 4*m - 8, -5*n + z*m = -14. Let l(c) = 2 - 7 + 5 - c**n. Let w(g) = 2*g. Determine w(l(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -492 + 1474\/3. What is the second biggest value in b, 436, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 4:59 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**7\/2520 - q**6\/180 - q**5\/60 + q**2. Let s(i) be the third derivative of b(i). Is 5 a factor of s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-3))\/((-2)\/(-69))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 31 = 55. Solve 18 = -3*b - 3*w, -b - 5*w - d = 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 66\/(-88) + (-591)\/(-4). Let g = 215 + h. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61\/870540 - -37442042509\/14799180. Let c = -2530 + w. Is 0 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 69*r**2 - 2*r + 5. Let i be k(3). Round i to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsbsffnfftsgbbsssg. Give prob of sequence bnsg.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18685 and 266215.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 17*k**2 + 4*k - 44. Let v be n(-9). Solve m = -5*b + 4, 0 = b - 3*m + v - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178 + 247. What is the remainder when r is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3407*g - 54678. What is p(-16)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.3 + -8.3. Let u be (-10)\/(-15) + (-6)\/9. Let j = 12.1 - 12. What is the smallest value in u, y, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(2*r - r + 2*r) + (96*r + 19*r - 20*r)*(0 - 1 - 2).\nAnswer: -291*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1 (c) -0.0887\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.6 + -101.9. Let c = -42 - l. Let y = -7 + 7.1. Sort c, -1, -2\/9, y in decreasing order.\nAnswer: c, y, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 51, -0.88, -2\/353, 3\/4, 2\/5, -2\/11?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 11*a - 28. Calculate x(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1962482472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.4992449 rounded to two decimal places?\nAnswer: 199.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4 + i**3 - 5*i**2 + 3*i = 0. Calculate i.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g + 1 + 2)*(-6*g + 5*g - 3*g)*(0 + 3 - 1).\nAnswer: 16*g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1547 - -3113. Suppose 5*l - 3*o = -2*o + h, 3*l = -4*o + 935. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7940\/(-140) + 41 + 12\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24027 is divided by 5840.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 335739, 335663, 335529, 335331, 335063?\n\"Answer: -b**3 - 23*b**2 + 335763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 8*m**2 - 8*m - 5. Let v be p(-7). Suppose 0 = -2*x + 5*w + 3776, -v*w = 4*x + x - 9469. Let h = x - 1133. Round h to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-11)*l**(3\/23) assuming l is positive.\nAnswer: l**(-250\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3566461422 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308344770 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 + 3 + 14*r**3 - 11*r**3 - 2*r**2 - r**4 as b + t*r**4 + f*r + l*r**2 + z*r**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1088) + -6*(1 + sqrt(1088)) - ((sqrt(1088)*2 + sqrt(1088))*-2)**2))*-3.\nAnswer: 120*sqrt(17) + 117537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 7:38 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -2*w**7\/735 + w**6\/70 - w**5\/35 + w**4\/42 + 3*w**2. Factor q(m).\nAnswer: -4*m*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74462 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k*k**(-9))*k)\/(k*k**(-1\/9))*(k**3\/k)**(-22) assuming k is positive.\nAnswer: k**(-296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 13 - 2. Suppose t*c = -3*o + 420, 3*c - 4*c - 2*o = -91. Calculate the remainder when c is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/13, -36, 0.05, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 4*f**3 - f**3)*(2*f - 5*f + 2*f) + 0*f**2 + 0*f**2 - 2*f**4 + (-3*f**4 + 2*f**4 + 0*f**4)*(1 + 0 + 0).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (132\/22)\/((-6)\/(-88))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*m + 112, 2*s + 0*m - 74 = -m. Let g be (s\/90)\/(2\/(-20)). Which is the second smallest value? (a) -1\/3 (b) 5 (c) -1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*n = -4*n - 83, -5*n + 130 = -5*l. Let w be (-1464)\/l - (-4)\/(-18). What are the prime factors of (-149)\/(-6) - (-9)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*q**2\/3 - 125*q\/6 + 140\/3.\nAnswer: -5*(q + 8)*(4*q - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67842.\nAnswer: 2, 3, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 - -8.89. Let r = 8.97 - f. Let l = 0.97 - r. Is -0.03 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 5.2 in decreasing order.\nAnswer: 5.2, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -2*x**3\/15 + 6*x**2\/5 - 18*x\/5 - 34. Factor w(v).\nAnswer: -2*(v - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((4 - -12) + -16 + (0 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 129 = -3*r. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 0.7, 3, -5 in decreasing order.\nAnswer: 3, 2, 1, 0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 781704 and 17556?\nAnswer: 14852376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-40)*41062\/(-8799)?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**5\/120 + 2*k**4\/9 - 16*k**3\/9 - k + 114. Factor o(i).\nAnswer: -i*(i - 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1656)\/42*334\/1780. Let g = 1\/623 - n. What is the common denominator of 473\/18 - (-4)\/18 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2453044 != -2453046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 + 7) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 267706512103031 take away -3?\nAnswer: 267706512103034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 - 5*w**3 - 10*w**2 = 0 for w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 + -222. Let k = 58 - 34. Let t = -23 + k. Put y, -22, t in descending order.\nAnswer: t, y, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 26159*a**2. Let j(c) = 3232*c. What is j(p(m))?\nAnswer: 84545888*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10913 and 3.74542?\nAnswer: 10916.74542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -15*b + 331. Suppose 2*q - 2*o = 44, 13*q + 2*o = 11*q + 40. Calculate s(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 15. Let p be k(-18). Let i be -2 + 15 - (0 + 1). Let l be (p\/70)\/(i\/10). Which is the second smallest value? (a) 0 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -432 - -455. Suppose -3*f + 2*r + 80 = 0, -5*f + f = -r - 110. Let i = f - z. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 5)*(-3*g**3 + 4*g**3 - 3*g**3)*(3*g - 2*g - 7*g).\nAnswer: 48*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1538*q - 2327 wrt q?\nAnswer: 1538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**7\/294 + j**6\/42 - 3*j**5\/70 - j**4\/21 + 4*j**3\/21 + 2*j - 4. Determine d, given that t(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8) - (0 + 1). Suppose -2*i + 4*i + 44 = 0. Let h be (-2)\/4 + (-15)\/i. What is the smallest value in v, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*g + 73 - 39*g - 73 to the form l + u*g and give u.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (12 + (-11 - -5)) - (-17 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 59*f**5\/60 - f**3\/6 + f**2. What is the tens digit of k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 8*z - 6. Let a be t(-6). Let w(o) = o**2 - 4*o - 6. Calculate the least common multiple of 11 and w(a).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/5106 and 137\/888.\nAnswer: 20424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + 62*r - 796. Is h(21) 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 {b: 1, n: 4, x: 4, u: 2}. Give prob of sequence un.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -77185 > -77184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 57*b**2 + 37*b - 77. Calculate the remainder when z(28) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 + 8*f - 2.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*x**5 + 111220*x**4 - 3*x**3 + 33831*x**2 - 43*x wrt x?\nAnswer: -720*x**2 + 2669280*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 590*x**3 + 749*x**2.\nAnswer: 3540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2565 - 1779. Let m = q + -1131. Let y = 795 + m. Round y to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7 + 5 = 0. Let q be (2\/5)\/(2\/10). Let z(p) = -14 + q*p + 14. Determine z(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1250 (base 11) to base 5.\nAnswer: -23003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58854.\nAnswer: 2, 3, 17, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38*20\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*i + 21, 2*i - 7*i = -2*k + 20. Let l(a) = -3*a - 1. Let j be l(i). Solve -4*s - j = -17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10719 and 1\/10.\nAnswer: 107190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -8\/5 (c) -3.8 (d) 15 (e) -0.1 (f) 15\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100000101001000000100?\nAnswer: 100000101001000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8.17 times 4\nAnswer: -32.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 306 or 0.172?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 + 10*y**2 - 2*y - 6. Let b(c) = -7*c**3 + 19*c**2 - 5*c - 12. Let n(r) = 3*b(r) - 5*f(r). List the prime factors of n(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -20. Factor 89*v + 2*v**2 - r + 1 - 91*v.\nAnswer: 2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 0 + 2*p**3 - 3 - 3*p**3 - p**2 - 4*p. What is the smallest common multiple of k(-3) and (-108)\/18*10\/(-4)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 3*l - 220. Find the common denominator of (286\/l)\/((-6)\/7) and 97\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from mrcrcwbwowwc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 25*f + 22. What is the tens digit of r(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 5149.\nAnswer: -5\/5149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2057) - (sqrt(2057) + -2)) + 4)*-1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.393 - -10.7954. What is i rounded to two decimal places?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 3*q**2 - 4*q + 3. Let w be j(-5). Calculate the highest common factor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -18. Which is the second smallest value? (a) -0.1 (b) -7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 8 + (1 - 2) - -1766. Let n be w\/44 - 8\/44. Solve 5*r - 10 = -35, n = 5*a - 5*r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m - m)*(-43*m**2 - 49*m**2 - 42*m**2) + (-6*m - 44 + 44)*(-2*m**2 + 0*m**2 + 0*m**2).\nAnswer: 280*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120010 + -1030?\nAnswer: 112320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50178490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 50 = -1728*k + 1718*k, i + 10 = -2*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 2. Let c(w) = 19*w + 11. Let z(t) = 16*t + 9. Let q(f) = -5*c(f) + 6*z(f). Calculate -3*l(d) + 7*q(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.116139ms?\nAnswer: 5116.139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2962 * 3972.3\nAnswer: 1176.59526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (-29 - -30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 10*m - 9. Let x be f(11). Let 0*n**x + 4*n**2 + 2*n - 2*n**2 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*x - 251 - 877 - 3876 - 1692 = 0 for x.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000402291069 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + 37 = v, -17 = -3*c + 2*v. Solve 0*t - 3*f - 10 = t, 4*t + f = -c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) -1\/3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 8 = 0. Suppose 5*p = -x + 3*p - w, 5*p + 11 = -x. Solve 6*u - v - 7 = 2*u, -x*u + 2*v + 10 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4, 165*m + 2*c - 40108992 = 166*m. Round m to the nearest 100000.\nAnswer: -40100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*y + 5. Suppose v = 2*v - 1331. Suppose -4*o = t - y*t - 1063, -2*t = -5*o + v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4251, 34375, 116541, 276897, 541591, 936771?\nAnswer: 1488585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8065 and 79\/16130.\nAnswer: 16130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539230357?\nAnswer: 539230357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 36. Suppose -254 + h = 4*d. Let o = d - -102. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 49, 86, 143, 226?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 - 2*m + 10*m**2 - 6*m**2 to h + g*m + l*m**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 412460 and 824920.\nAnswer: 824920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k = 49 - 973. Solve -24*x = -k*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-558)\/5952*-2*4)\/(2\/40).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218390 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 27*o + 55 = 0. Let d = 16 - o. What is the remainder when 2 - ((-36)\/2)\/3 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m = -38*m + 332. What is the remainder when m is divided by 85?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11232921 to the power of 1\/2, to the nearest integer?\nAnswer: 3352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n + 1. Let b(v) = -v. Suppose 0 = 4*u - u + 15. Let r = -29222 - -29223. Give r*c(y) + u*b(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -454 + 43431?\nAnswer: 42533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -17*c**5\/5 - 5*c**2\/2 + 190*c + 175. Find the first derivative of h(z) wrt z.\nAnswer: -68*z**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/3 (c) -7365\/227 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4246 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**3\/3 - 3*y**2\/2 + 7*y + 6. Let k be s(4). What is the highest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.3223\nAnswer: -0.9669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by -4.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 4:29 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4976.41 * 0.05\nAnswer: -248.8205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 13, a: 3}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367482, -734962, -1102442, -1469922, -1837402, -2204882?\nAnswer: -2572362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890226.\nAnswer: 2, 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.43 - -0.37. Sort 3\/7, 1\/4, 0.4, j in descending order.\nAnswer: 3\/7, 0.4, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (sqrt(208) - (1 + sqrt(208) + sqrt(208))))**2 + 1 + -1*sqrt(117) + -5.\nAnswer: 13*sqrt(13) + 829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 191458055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 12. Let s be (2 - d) + -1 + 2. Find the second derivative of 71*k - 4*k**4 - s*k**4 + 0*k**4 - 64*k wrt k.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 698, 1212, 1702, 2156, 2562, 2908, 3182?\nAnswer: 3372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 182?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 785951397?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110010100 + -101?\nAnswer: -10000110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/8)\/x**(-1\/6))**(-3\/28)*x**(3\/5)\/(x*x**7)*(x**(-1\/11)*x*x)\/(x**(-6)*x) assuming x is positive.\nAnswer: x**(-6103\/12320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/44 and ((-34 - -38) + (-263)\/66)*64.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a decade?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-1)*(-25)\/(-25)*98\/(-147).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/60 - (-705)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8121353*k**5 - 4*k**2 - 5*k - 1433 wrt k.\nAnswer: -487281180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - 0.08. Let a = 0.53 - l. What is a rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -721.5 + 722. Which is the closest to 2? (a) -5 (b) -9 (c) 1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -981.9 - -1104. Let k = 4810 - 4688. Let i = k - r. Which is the closest to i? (a) 1 (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + b95c?\nAnswer: b967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1509097 + 2359097. What is v rounded to the nearest 10000?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712 is divided by 156.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/4 - 239*y**4\/4 + 9101*y**3\/2 - 185671*y**2\/2 - 5201195*y\/4 - 14294675\/4 = 0. What is y?\nAnswer: -5, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1898 or 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 917 divide 1220330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*w + 5*j, -2*w + 9 = w - 5*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15452\/15 + -1030. Let x(f) be the second derivative of 8*f + 0*f**3 - 1\/3*f**4 + 0 + 0*f**2 + o*f**6 + 0*f**5. Factor x(k).\nAnswer: 4*k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 79 = 209. Suppose -112 = -5*a - t + 2, -2*t = -8. What is the least common multiple of k and a?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-2)\/(sqrt(6) + sqrt(480)\/sqrt(5)).\nAnswer: -16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1130 - 245 = 0. What is the highest common factor of 110 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*h - 6*h + 3*h in the form y*h + z and give y.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14996\/(-1469608) - (-636)\/(-98).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7624.726766 to the nearest 10.\nAnswer: -7620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -7. Let p be 1*a\/2 - -2. Which is bigger: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146316 and 17088.\nAnswer: 2341056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 - 23*h**2 - 2*h - 8. Let b(y) = 2*y**3 - 8*y**2 - y - 3. Let k(s) = -8*b(s) + 3*p(s). Does 6 divide k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**3. Suppose -12*w = -f - 8*w - 23, 0 = -2*f + 3*w - 21. Let x(k) be the third derivative of -k**6\/4 - 23*k**2. What is f*x(l) + 14*z(l)?\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-14\/5)\/n**(-1\/12))\/(n**(-8))**(-1\/13) assuming n is positive.\nAnswer: n**(-2599\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -187 - -192. Suppose -3*i + c*h + 105 = 2*h, 3*i = -h + 113. What is the remainder when 125 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g**1*g)\/(g**(-8)*g**4) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (81\/27)\/((-441)\/36*(-15)\/35)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42052452 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -426?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2108199424 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 8*k**2 + 14*k + 11. Calculate s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -500 - -42. Let t = k + 521. Calculate the greatest common divisor of 168 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (1 + -3)) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (44915\/30)\/13 - 2\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y - 16. Suppose 4*u - 4 = -2*s - s, 5*u - 4*s = 36. Suppose 0 = o - u*o + 15. Sort y, o, 0.\nAnswer: y, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 705 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 + -139. Sort -2, -3\/11, t, 3 in descending order.\nAnswer: 3, t, -3\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548*l + 32 + 1085*l - 542*l.\nAnswer: -5*l + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4980 = 12*p - 17*p. Let w = 646 - p. Round w to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 + 102. Which is the closest to 0? (a) v (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k. Let x(m) = -97218*m - 1. What is x(d(g))?\nAnswer: -291654*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*q**3 + 63761*q**2 - q - 2347700?\nAnswer: -18*q**2 + 127522*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.08, 331, -0.2?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + 3*sqrt(325)))**2.\nAnswer: 480*sqrt(13) + 46816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195056 and 1168.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/144*4*-12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/24 + x**5\/30 - x**3\/3 + 76*x**2 + x. Let q(k) = 36*k**3 - 15*k**2 + 15. Calculate -45*m(p) - 6*q(p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 1\/2, 2\/3, 2, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/255*6610\/(-55524)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23290 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 215*r + 4. Let q(a) = 2*a + 1. What is 12*q(n) - 3*u(n)?\nAnswer: -621*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 10)*(6\/(-45))\/2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66\/19, 0.3, -6 in increasing order.\nAnswer: -6, 0.3, 66\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 980 - 1008 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 147\/119248 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 218 = 2*x, 4*t + 4*x = -570046 + 570198 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*r - 27 = -89*r + 178*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2777858?\nAnswer: 2, 569, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 12*n + 6. Let w be g(-7). Let s = w + -49. What is the smallest common multiple of s and 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -0.9024?\nAnswer: 0.8024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 105 = -5*n + 4*u, 2*n - 56 = -5*u. Suppose -5*i + 41 - 11 = 0. What is the remainder when n is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) 0.1109 (c) 3 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from dklddkkllddl.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from pemmyemjmeemxxmme?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7 + 14 = 3*t, 0 = 2*t + 2*q. Let i be -7*(440\/(-35))\/11. Sort 4, t, i in increasing order.\nAnswer: t, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*3*(-3)\/(-63).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350681 and 16307?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 - 4\/6. Calculate the least common multiple of 33\/(-6)*2\/i and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/32*-10)\/(15\/(-60))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/30 - n**2. Let l be (1 - 2\/1)*-2. Let h(x) = -x + 2*x - l*x + 0*x. Calculate h(v(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 17*l**2 + 18*l + 30. Is x(-18) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1301 + 1040?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -143550 divided by -7975?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 11cd?\nAnswer: 11d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*n - 26, o + 3 - 17 = -3*n. Solve 15 = 5*d - n*w - 0, -2*w = 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-26) + 34238022\/2366 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 972, 1553, 2138, 2727, 3320, 3917, 4518?\n\"Answer: 2*u**2 + 575*u + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32903 and 90493?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -305 = -302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 13*j - 3*j + 1862 - 74 - 5*j. Let u(a) = 3*a**2. What is u(h(o))?\nAnswer: 3*o**2 + 10728*o + 9590832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 - 5 = 0. Suppose -3*w - 5*w = 0. Let o = 2 + -2.3. Which is the second smallest value? (a) o (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(2 - 6 + 2)*(32*x + 53*x - 21*x).\nAnswer: 128*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = 79. Let z = 164 - d. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 2049.\nAnswer: 22539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/30*15\/(-80))\/(70\/8)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 1 - u - 10*u + 0*u.\nAnswer: -15*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 36. Solve -p + 5*p + g = -h, 5*p + 35 = 5*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let l(g) = g**2. Let i(f) = 3*f**2. Suppose -4*d + 4 + 0 = 0, 2*r = d + 41. Let c(t) = r*l(t) - 6*i(t). What is c(z(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a + 539. Let d(o) = -o - 2. Calculate -5*d(k) + p(k).\nAnswer: -k + 549","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-22)\/(n\/(n**(3\/14)\/n)) assuming n is positive.\nAnswer: n**(-333\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5828 - 5785.1. Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 12:47 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (3 - 0 - (27 + -25) - -7)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 7)*10\/6. Let o(s) = -5 + g - 37*s - 3*s. Let n be o(-1). Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 302432207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7671 is divided by 178.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 32. Suppose -j*q - 21 = -57. Suppose -l + 3*u = -u + q, u = l. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-4)\/9). Suppose 20*l = 16*l + 24. Let g be 2\/((-2)\/(-3)*l\/(-4)). Sort h, g, -4 in descending order.\nAnswer: h, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = 10, 3*j = -2*q - 181. Let t = 65 + j. Let h(m) = -2*m - 5. What is the remainder when t is divided by h(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46\/3, 2276, -2.59, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 7107.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6 = a, 3*d - a + 341 = 317 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 61?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 75\/4, -0.806216, 2 in descending order.\nAnswer: 75\/4, 2, -0.806216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + (-8073)\/644)\/(800\/(-140))?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and -432510.91.\nAnswer: 56226.4183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 108*l**2 + 29*l + 43. Is r(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*k = 341*k - 169*k + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x**3\/3 + 372694*x**2 - 2134460*x\/3 + 338800 = 0.\nAnswer: 10\/11, 1, 50820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 57*n - 211*n + 336 = 187*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8 = -1. Suppose -n + c = 7. Let s = -173 - -176. Let m(g) = 2*g. Let v(q) = -q**2 - 2*q. Give n*v(z) + s*m(z).\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 4 = -5*d - 2*q, 0 = -3*q - 3. Suppose -3*i = d*z + 363, 2*z - 141 = i - z. What is the common denominator of 53\/7 and -5*(i\/(-15) - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 12*h = -474. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-37514)\/8 + (-271)\/(-1084). Round d to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-11 - -14) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1457 and 35\/279?\nAnswer: 13113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -14280000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(2\/(-1))\/2. Let t = 8038 - 8036. Suppose 5*x + 15 = -0*x, -47 = -t*j - z*x. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 1. Let m be 105\/((-12)\/(-32)*-2). Let h = -978\/7 - m. Is r at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*k - 32, 0 = -3*k - x + 4*x + 18. Suppose k*j = 9*j - 47. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:17 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14329 + -0.02695. Round b to 3 decimal places.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-1 - (-1)\/3). Let u be 33999990\/5 + w\/2. Round u to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10122 (base 3) to base 9\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2313824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311133647 by -2.\nAnswer: -311133647\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 472.7 + -472. Which is the closest to 0? (a) i (b) -1\/5 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19829981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50387367 at least 50387367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwllwwlwwwwwwwww. Give prob of picking 1 l and 1 w.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otvbojj. Give prob of sequence ovbt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 2*i + 1. Let h be u(1). Let s(x) = h*x + 4 + 30*x**2 + 3 + 0*x - 4. Is s(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o. Let n be c(-1). Let r = 12 - 14. Let x = n + r. What is the remainder when 19 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 9:38 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 91, 77, 57, 31, -1?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-3))\/v)\/v)\/v)**(-26) assuming v is positive.\nAnswer: v**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 6*m - 10. Let c be n(-8). Calculate the common denominator of 44 and c\/(-2) - 540\/(-145).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 977094 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12593, -25188, -37785, -50384, -62985, -75588, -88193?\nAnswer: -100800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (42 - 17)) + 31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 22765112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 9 - 13)*(7*i - 2*i + 3*i) in the form s + d*i and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2 = -2*h, 8*h - 12 = 4*h. Find the second derivative of -d*f**5 - f + f + 3*f wrt f.\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 7*v**2 + 956*v - 6686. Calculate a(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 8 + 21 - 3*j - 27*j**3 - 20*j**3 - 8 in the form l*j**3 + s*j**2 + r*j + m and give l.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 - 2*k**3 + 8*k**2 + 8*k.\nAnswer: -2*k*(k - 2)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:49 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/11 + 46\/77. Sort z, -3, 5\/7 in descending order.\nAnswer: 5\/7, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-10) - (-66)\/(-15). Let a = -2 - l. Suppose -a*j = -2*j - 1. Sort j, -4, -5 in descending order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 + 12*p - 7. Let n be c(3). Let u be 3\/(-2 + 0 + 3). Factor u*k**3 - 3*k**2 + 3*k**4 - k - 2*k - 2*k**n + 2*k**2.\nAnswer: 3*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 3 = -12*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 10*p + 1. Let h be t(11). Suppose -3*w = 0, 0 = v - 4*w - 53 - h. What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m - 3*t, -t + 0 = 3. Let n(c) = 5*c**3 + c**2 - c - 1. Let x be n(m). Let d be x\/3*(3 - 6). Solve -3*i = a - 4, -d*a + 18 - 2 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 30960512*g + 154802460.\nAnswer: 4*(g + 5)*(g + 7740123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19580635?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (5*(sqrt(425)*1 - sqrt(425))*2 + (-5 + -1 + sqrt(425) - sqrt(425)) + (-1 + sqrt(425))*-3)**2).\nAnswer: 360*sqrt(17) + 15352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**4\/6 + 2*t. Let a(k) be the second derivative of k**4\/4 - 3*k + 5. Determine f(a(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*f - 26*f - 24*f**2 + (0*f + f - 2*f)*(2*f + 1 - 1) to the form l + w*f**2 + s*f and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3\/2, -6, -551, -9\/8, -0.4.\nAnswer: -551, -6, -9\/8, -0.4, 3\/2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 5) to base 11\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36531 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132512 to the power of 1\/2, to the nearest integer?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 5*u - 1, 5*u - 5*r + 10 = 0. Let v(o) = -7 + 3*o**u - 2*o**2 + 3*o + 0*o**2. Let d be v(-5). Solve d*s = -6, 0*z - 19 = -5*z - 3*s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 126*a + 8 wrt a.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 306*j**2 - 2*j + 267. Let p(x) = -918*x**2 + 5*x - 801. Let y(g) = 8*f(g) + 3*p(g). What is the second derivative of y(l) wrt l?\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 64 + 11 - 2747*w**3 + 33.\nAnswer: -2747*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 + 1.5. Put -3\/8, -3\/7, l in decreasing order.\nAnswer: l, -3\/8, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 19*o**4 + 4*o**3 - 33*o - 2. Let b(v) = -37*v**4 - 7*v**3 + 67*v + 4. Let i(m) = -4*b(m) - 7*d(m). Find the second derivative of i(t) wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 157*h**3\/6 + 2*h + 90. Let q(t) be the second derivative of -t**4\/6 + 2*t - 4. Give q(y(k)).\nAnswer: -49298*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-1258)\/(-85)) + (-68)\/(-6) + 363\/(-33)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**3 - w**3 + 4*w - 3*w**2 - 6*w - 3*w**3 to the form r*w + o + d*w**2 + x*w**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Let c(i) = 39*i + 27. Let f(v) be the first derivative of -3*v**2\/2 - 2*v + 1. Suppose 5*b + 98 = -z + 110, 4*b = -12. Give g*c(r) + z*f(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*6304\/864 - -22.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 26723025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*z - 4 = 0, a - 5*a = 3*z + 3. Suppose a*x + 3*x = -9. Is (x - 10\/(-4))*-258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -6, -69, -5, 10 in ascending order.\nAnswer: -69, -6, -5, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 298, 300, 302, 304, 306, 308?\n\"Answer: 2*q + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/246411010 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 8. Let v(m) = -2*m**2 + 7*m + 8. Let g be v(7). Let u = g + 28. What is the tens digit of i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.359 bigger than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38485032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p**2 - 1. Let w(s) = -3*s**3 + 5*s**2 - 5*s - 5. What is -5*h(i) + w(i)?\nAnswer: 2*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3244269062.404000741 + 3244269061. Let o = d + 1.404. Round o to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 3184 - 214. Calculate the least common multiple of x and 21.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294322 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*i = -8 + 3, 15 = 3*p + 3*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -14\/15*v**5 - 9 - 13\/3*v**2 - 6*v**3 - 4\/3*v - 23\/6*v**4. Factor s(j).\nAnswer: -2*(j + 1)**3*(7*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**2 - 5*a**2 - 7*a**2 - 17*a**2 - 7*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3392*k**2 - 3606*k**2 + 6732*k**2 + (1 - 1 - 3*k)*(-k - 1 + 1) + 5*k + 0*k - 7*k - 2*k**2.\nAnswer: -265*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45505 and 123215?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-15138)\/(-15))\/3 - (-3)\/5.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 21*z - 10. Suppose -z*t + 3*t - 4 = 0. Is 4 a factor of 13\/(-2)*t\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8920, -3, -1, 2 in descending order.\nAnswer: 2, -1, -3, -8920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 - 910946.1\nAnswer: -910946.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, e: 4, y: 7}. Give prob of sequence gyge.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4408032933 to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1)\/(1\/(-2)). Let q be (-2)\/((-27)\/12 + i). Calculate the greatest common factor of q and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 112 + 53. Let s be -1 - w\/36 - -2. Let d be 3*(2 - (-15)\/(-9)). Which is greater: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 218 + 158 = 0. Let w = n - -154. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -12*y + 237. Suppose -4*s - 106 = -5*z, y - 27 = 2*z - 4*s. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 215, 0, -9, -59, 7 in descending order.\nAnswer: 215, 7, 0, -9, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/2 - 4*o**3\/3 - 4*o**2 - 6*o + 124. Calculate the lowest common multiple of d(-3) and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -323\/22, 3, -6, -3\/22, 0.5 in descending order.\nAnswer: 3, 0.5, -3\/22, -6, -323\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhphhhphphhhphhhhh?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -4, 58, 19242.\nAnswer: -5, -4, -1, 58, 19242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 60*q**2 - 136*q + 57. Is p(-58) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133.9 - 133.207. What is x rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -16, -6\/23, 1?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 2*s**2 - 6*s**2)*(-12*s - 5 + 5)*(2 - 5 + 5).\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 10*n + 0 - 61 - 2. Let k be j(15). Let d = -77 + 233. What is the highest common factor of k and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*w - 3*w**2 + 30*w - 78*w + 28*w + 1 in the form k*w**2 + b + m*w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25785 is divided by 5116.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -314580*f*x**2 + 6*f*x + 79*f + 31*x**3 - x + 6834 wrt x.\nAnswer: -629160*f + 186*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -0*y. Let n(k) = 2*k**2 - 1. What are the prime factors of n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 r when three letters picked without replacement from {h: 4, y: 2, w: 2, r: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + p = 7, 23*t - 9 = 20*t - 4*p. What is the units digit of (-5493)\/(-18) - t - (-35)\/(-210)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5972*28\nAnswer: 16.7216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-15) - (0 - -2). Let l = 0.18 + 0.12. Which is the smallest value? (a) 0 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -734 + 771.3. Let t = l - 41.28. Let u = -94.82 + t. What is u rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*d + 2296 = 0, -4*z + 272 = -2*d - 2786. Let p = z - 1155. What is p rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2302 divided by 2\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761505.\nAnswer: 3, 5, 50767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + q + 0*q)*(-122 + 286 + 43)*(1 - 1 + 2) to y*q + a and give y.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -13.2. Let f = 810.826 + -814. Let p = f + u. What is p rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight sevenths of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1840 and -1677 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c12 (base 14) to base 3.\nAnswer: -21000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - k = 4*k, -3*u - 3*k = 0. Suppose u = 4*c - 22 + 6, 0 = 5*l + 3*c - 1237. Suppose 0 = 3*g + 8 - l. Round g to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0563066*0.2\nAnswer: 0.01126132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**7\/14 + x**5\/4 - x**4\/6 - x**2 + 7*x + 5. What is the third derivative of l(q) wrt q?\nAnswer: -180*q**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 12 = 7*c - 4*f, 6 = 5*c - 2*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k**2)**(-33)\/(((k*k\/(k**2*k*k)*k)\/k)**(-1\/17)\/((k*k**6)\/(k**9*k))) assuming k is positive.\nAnswer: k**(-53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7\/6))**(-2\/15) assuming a is positive.\nAnswer: a**(7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 - 19 - (1 - -8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9 = 5*t, -2*t - 2 = -c + 1. Let l = 0.4 + 5.6. What is the third biggest value in t, l, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32967)\/(-22))\/(-333))\/(((-18)\/(-4))\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 65 + 153 - 48 - 116*b.\nAnswer: -116*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -1230411?\nAnswer: 1230430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 367 by -263.\nAnswer: -367\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69\/5*v - 3\/5*v**3 - 33\/5 - 39\/5*v**2 = 0 for v.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t - 52 = -47*t. Let w(n) = 7*n + 31. Let f be w(t). Calculate the common denominator of (-18)\/45 + (-974)\/f and -61\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524827089.\nAnswer: 3, 58314121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 - r**3 + 8*r**3 - 18*r**3 + 0*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y - 11. Let c = 28 + -17. Is l(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1 + (2 - -2). Let i = l - -7. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-170) - 42\/357\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -431*w + 52. Let l(z) = -4*z - 1. Let s(u) = d(u) - 2*l(u). Is s(-2) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 2*y + 2*y + (2 + 0 - 1)*(5*y - 2*y - y) + 0*y - 4*y + 0*y + y + 4*y - 6*y + (-3*y + y + 0*y)*(-1 - 1 + 1) - 2*y + 2 - 2 - 2*y + 2 - 2.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 11691 (b) 1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(272) + -1))**2.\nAnswer: -288*sqrt(17) + 9828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20569*j**3 + 20573*j**3 - 41140*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddededdddddddddddd. What is prob of sequence ee?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 230 = -4*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 p, and 1 k when four letters picked without replacement from {p: 2, g: 5, k: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 6 - (-7 + (-5 - -6)))*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -8 - 0. Let p be (h + 6)*9\/(-9). Is p bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p. Suppose -3*t - 2*t + 30 = p. Let o be 0 - -5 - 2\/2. Solve 0 = -o*y + y - t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/((o\/(((o*o\/o**0)\/o)\/o))\/o))\/o*o)\/o*o\/(o**(1\/10)*o)*o)**27 assuming o is positive.\nAnswer: o**(513\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*a - 17, -2*o - 2 = a + a. Let d be (-2)\/((-12)\/(-21))*-2. Let l be (-2)\/12 - d\/(-6). Calculate the highest common factor of l and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 5:08 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001110110100 (base 2) to base 15.\nAnswer: -7869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-10 + 19 + -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156731749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22061 is divided by 2465.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4156 and 348312282?\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 4. Let n(u) = -2*u + 5. Let z(g) = 4*n(g) - 5*r(g). Let k(v) = 9*v**2. Give z(k(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10241*y**3 - 1028*y + 4 wrt y?\nAnswer: 61446*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - ((-96)\/39 + 3))*107\/(26322\/(-1599)).\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 3*t + 6. Let f(g) = g**3 - 10*g**2 + 2*g - 8. Let b be f(10). Let h be 44\/(-10) - b\/20. Determine r(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 + 5*f + 13. Let b(v) = -5*v**2 - 4*v - 12. Let g(u) = -5*b(u) - 4*y(u). Let x(j) = -j**2 - 5. Determine 5*g(c) + 8*x(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((l*l**15*l)\/l*l)\/l)\/l)\/l**(-2\/15))\/(l**(-3\/7)*l**(1\/10)))**(-8\/7) assuming l is positive.\nAnswer: l**(-12988\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1\/266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64898944*y**2 + 4272337?\nAnswer: 129797888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22650837 to the power of 1\/2, to the nearest integer?\nAnswer: 4759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -331.737344 rounded to the nearest integer?\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 3:51 PM?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -13*k**3 + k**2 - 3*k - 3. Give d(2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/429, 16, 2410?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3435 and 15.\nAnswer: 3435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/19 + 1745868*m\/19 - 381006884178\/19 = 0 for m.\nAnswer: 436467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 12384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 14. What is y(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:34 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 7*l**4\/4 + l**3\/3 + 2*l**2 + 35*l + 108. Is v(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -74 + 5. What is the remainder when 44 is divided by h + (-2)\/(-6)*(1 - 1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -30*n**3 + 10*n**2 + 24*n + 27. Does 14 divide z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14*p + 834 = -15*p, 2*p = -4*z - 1110. Is z < -280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -63, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/15, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16917977 bigger than 16917977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-6) + 2\/(-3). Let z(a) = a**3 - 3*a**2 + a - 5. Does 5 divide z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04158594 to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5 and -32\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/2 - 3595905*g - 28767272 = 0. What is g?\nAnswer: -8, 7191818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 - 4 - 6) + 91 + -46?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*a + 2*a - 132, a = 3*z - 134. Suppose 2 = 125*c - 8 + 260. List the prime factors of 3630\/z + c\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525504 divided by -175168.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39114.53 millilitres to litres.\nAnswer: 39.11453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 30 = f. Let k(x) = x**2 + 4*x + 4. Let s be k(-6). Let j = 60 - s. What is the remainder when j is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -58. What is the nearest to 0 in -3\/2, f, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -156. Let z = u + -66. Suppose 0 = 5*r - z - 11. What is the least common multiple of r and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 16*t**2. Let x(q) be the first derivative of 31*q**2 + 699. Determine x(i(m)).\nAnswer: 992*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157\/21 + -13\/21. Calculate the common denominator of g and -14\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*m*t**2 + 2*m*v**2 + m*v + 199*t**2*v**4 + 4*t**2*v**2 - 6*v wrt v.\nAnswer: 4*m + 2388*t**2*v**2 + 8*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -3*d**5\/10 + d**2\/2 + 4*d. Differentiate w(k) wrt k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 28 = 2*o, -4*y = -11*o + 13*o - 34. Which is the nearest to 8? (a) 24 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 48. Suppose 0 = 4*o - 5*x + 36, -5*o - 259*x - 58 = -262*x. Determine c(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1))**44*k*k*k\/(k\/k**(-18)*k)*k\/k**(1\/6))**(-4) assuming k is positive.\nAnswer: k**(722\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6661 and -32.\nAnswer: 6629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s**2 - 3*s + 1. Let v(k) = k. Determine m(t) + 4*v(t).\nAnswer: 9*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(-3522*v**2 - 7613*v**2 + 16417*v**2 + v) to the form b + t*v + w*v**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1949 + 4246 = 7*d. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*n + 17 = y, -4*y - 4*n - 92 = 0. Let k(c) = 2*c**3 - 6*c**2 + c - 4. Let u be k(4). Let v = y + u. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*o = -68, -8*o + 6*o - 82 = 64*t - 67*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 17*i - 259. Let f be r(-27). Solve 0 = -f*m - 6*m + 102 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12) + (-14)\/(-8). Let x(d) = -6*d + 15*d**3 + 4*d**2 + 8*d - 16*d**3 - 3*d - 2*d. What is x(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 2*o - 3. Let s be t(3). Let i be ((-3)\/(-3) + -133)*(-60)\/24. What is the greatest common divisor of i and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -134548126*n + 1132593. Let x(s) = -19602*s + 165. Calculate 5*r(k) - 34321*x(k).\nAnswer: 19612*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241803607 - 241803607 - j + 9*j**3.\nAnswer: 9*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 11*x - 16*x. Solve -x*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 2*j**2 - 4*j**2 + (3*j + 0*j - 2*j)*(4*j + j - j) - 2*j**2 - 4*j**2 + 4*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.5154472 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 6) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/6)\/(j*j\/((j\/j**5)\/j*j))*(j**(1\/2))**13)**(-37))**(6\/5) assuming j is positive.\nAnswer: j**(-148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(171) + 0 - (1*sqrt(38))\/sqrt(2))**2.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3200 + -3084. What is the greatest common divisor of v and 3712?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34215 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -35 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122281089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8 and (5 - (-147)\/(-30))*118.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*b + 146*b - 225*b.\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**3 - 7*q**2 + 2*q + 3. Let o(y) = 9*y**3 - 8*y**2 + 2*y + 4. Calculate 5*o(d) - 6*p(d).\nAnswer: -3*d**3 + 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*w**3 - 145 + 123*w**3 - 5135.\nAnswer: -15*w**3 - 5280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 14*q - 79289991 = -3*i, -2*i = -4*q - 105719994. Round q to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 1. Let f(a) = -13 - 680*a + 9 - 8 - 15*a**3 + 692*a. Suppose 0 = -5*r - 15, 4*z - 3*r = r + 16. Let h(l) = z*f(l) + 12*k(l). Factor h(i).\nAnswer: -3*i*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 15*p - p**4 - 36*p**2 + 14*p + 35*p**2 - 5 + p**3 as i*p**4 + v*p + z*p**2 + b*p**3 + f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1111233 - -100?\nAnswer: -1111133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6763 by 1008.\nAnswer: -6763\/1008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b*b**(-13))\/b*b))\/((b\/b**(-1\/9))\/b))**20)**47 assuming b is positive.\nAnswer: b**(109040\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 43*t**2 + 11*t + 23. Let n(k) = 82*k**2 + 21*k + 44. Let i(c) = -11*n(c) + 21*p(c). Let m(b) = -b - 2. What is -2*i(j) + 2*m(j)?\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 53. What is x(24)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 0.08. Let h = -5.38 - a. Let x = 5.1 + h. Round x to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12724 divided by -1?\nAnswer: 12724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15003)\/(-6)*(-40)\/(-30) a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from iiiiiilillliiiiiiiil.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3573)\/2)\/((-13)\/(-2)). Let q = 275 + p. Let n be (4\/90)\/((-12)\/(-15) + -1). Sort 3, n, q in descending order.\nAnswer: 3, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*v**3\/4 + 35621*v**2\/2 + 373*v\/4 = 0. Calculate v.\nAnswer: -1\/191, 0, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(144)*-4)\/(-1*sqrt(48) - sqrt(528)\/sqrt(11)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - 2.98. Let n = 2 + c. Let l = n - -4. Which is smaller: -0.2 or l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*f + 63*f**2 - 262*f**2 + 202*f**2 + 64*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + 55. Suppose 4*u + i = 24. Let o = 18 + u. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-783.\nAnswer: -391.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {c: 2, g: 6, e: 9, f: 1, x: 1}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Let w(k) = -996198158*k. Give w(m(v)).\nAnswer: 1992396316*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13 + 2*f**2 + 10*f - 3 - f**2. Let v be x(-11). Put 0, v, 5 in increasing order.\nAnswer: v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + v + 35 = -4*u + 4, 0 = -8*v - 48 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1373977 and 30\/1373977.\nAnswer: 1373977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11700.28 and 77.76161.\nAnswer: 11778.04161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096124?\nAnswer: 2, 89, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 + 11*p**2 - 5*p + 4. Calculate j(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140 - -124.6. Round a to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305520 = 33*d + 43*d. What is the greatest common factor of d and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 10*u + 200. Let h = -103 + 146. Let c = -37 + h. Calculate the lowest common multiple of c and u.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s - 12. Let q be u(4). Let k be (-2 - 6 - -1)*q\/(-7). Factor 3*x + k*x**4 - 3*x**3 - 5*x**4 + 3 - 5 - x**2 + 4.\nAnswer: -(x - 1)*(x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*r + 22, 4*y + 0*y + 20 = 3*r. Which is the nearest to 3? (a) 1 (b) r (c) -5\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9504 (b) 0.2 (c) 2819\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 89 + 93 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-476)\/(-44) + 4\/22. Suppose -3*p + 6 = -3. Solve 4*u - n = -p*w + 17, -28 = -5*u - 2*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7333.321 weeks to minutes.\nAnswer: 73919875.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 2:11 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 10*z - 6. What is the smallest common multiple of c(-6) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 8*j**2 - 20*j**3 - 8*j**2 + 153.\nAnswer: -20*j**3 + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 1. Solve r = -2*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 - 1. Suppose -6*t = -2*t + 40. Let w(u) = u**3 + 10*u**2 - u - 2. Let r be w(t). Let m be r\/56 - 6\/(-7). Determine v(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + 1 + sqrt(7) - (-2 + (0 + sqrt(448))**2).\nAnswer: -441 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 7*r**2 + 7*r + 9. Let m be (-80)\/14 + 10\/(-35). Let a be s(m). Suppose -3 - 7 = 5*u. Sort u, a, 4 in decreasing order.\nAnswer: 4, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 4*l = -21*p - 18, 0 = -5*p - 3*l + 6. Solve -3*f + p - 18 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/sqrt(2)*-3 - (3*sqrt(3645))**2.\nAnswer: -32805 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1297, -1496, -1685, -1864, -2033, -2192, -2341?\nAnswer: -2480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325624305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -2*i - 36 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 58?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0 - 2*d + 3*d - 2. Suppose z = -0 + 4. Is s(z) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2820)\/(-376)*2\/(-6).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12491129\/220 + 56778. Let y = 4\/627 - -53239\/8778. What is the common denominator of k and y?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1\/2*x**2 - 10*x + 0 + 23\/12*x**4 + 0*x**3. What is the smallest common multiple of 62 and a(-1)?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58728 is divided by 29274.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j**3)*(-11*j + 11*j + 3*j**2) + j**5 + 0*j**5 + 2*j**5.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/29205 and 46\/22125.\nAnswer: 730125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/2929 in 2\/15, -0.1, 0.6, 0.07, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 28 = 4*p, 2 = 3*p - 2*d - 5. Suppose -3*m = -b - 11 - 5, p*m = b + 30. Solve g = 3*l - 3 - 13, -m = -2*l - 3*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**3 + 29*n**4 + 5*n**3 - 2*n**4 + 2*n**4 - n**4 + (4*n**3 - n**3 - 2*n**3)*(n + n - 3*n) - n + n - n**4.\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68)\/sqrt(4) + 5).\nAnswer: -25 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -27 - (-15 + 19).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57315591 by -57315591.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720963409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295 = -8*c + 13*c. Let t = -59 - c. Suppose 2*x + x = -4*a + 717, t = -3*a + 3*x + 522. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.3. Let r = z - 0.2. Let i = -271 - -279. Is r equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 6, d: 7}. Give prob of sequence zyz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 171.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.743476 kilograms?\nAnswer: 3743476000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, 373, 4 in decreasing order.\nAnswer: 373, 4, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 118+276653558623\nAnswer: 276653558741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1225099797 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 861 = 116. Suppose 2*w = -8841 + 8541. Is z at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 31 = -17. Suppose -2*w = -6, l = -2*l - w + z. Find the second derivative of -4*i - l*i + 10*i + 2*i**4 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 14*f. Let x(m) = 185*m. Give x(d(z)).\nAnswer: 2590*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1009366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**16)**44*b**(-11)\/b**21 assuming b is positive.\nAnswer: b**672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*5)**2*-5.\nAnswer: -22000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7aba65 - 153?\nAnswer: 7ab912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*y + 11*y, -3 = -2*z - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - ((-22)\/(-88) + 306\/(-8)). Is 18 a factor of -5 - (-7)\/(a\/510)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*a + 5*a + 1, -5*l = 2*a - 20. Let v(j) be the second derivative of j**3\/2 - 4*j**2 + 3275*j. What is v(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10615*u + 159171. Determine v(-15).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59571269 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284614?\nAnswer: 2, 11, 17, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 30*p**2 - 168*p - 3302. Determine s(37).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**4 + 30693*z**3 + 553311*z**2 + 1383615*z = 0.\nAnswer: -15, -3, 0, 10249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*c - 7600 - 549 = -15926 for c.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 68*c**2 + 11*c**2 + 0*c**2 + c**2 - 2*c**2 + (0 - 3*c + 0)*(-4 + 4 - 2*c).\nAnswer: 88*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 11*t - 19. Give m(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ere when three letters picked without replacement from {k: 7, r: 1, y: 4, e: 6}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 3 + 32*l.\nAnswer: 32*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 242 = -7*y + 10*y, 2*l - 66 = -y. Let v = -69 - -76. What is the remainder when y is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -771532 + -34?\nAnswer: -771566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 6. Let d be k(-10). Suppose 6*u = 5*t + 3*u - 18, 0 = d*t + 3*u - 9. Let x(w) = 0*w**2 - t*w**2 + 5*w - 2*w**2 - 2 + 4*w**2. What is x(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - -2 - (-52)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7056 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9))**(-14\/9) assuming t is positive.\nAnswer: t**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5196412 divided by -2598206\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*h + 170 = 0, 3*h - 5*h + 178 = 2*x. Calculate the highest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {h: 10, v: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -82, -59, 128, 539, 1234, 2273?\n\"Answer: 10*i**3 + 22*i**2 - 113*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 8. Calculate b(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/11)*q*q*q\/((q**20*q)\/q*q))\/(q**(1\/6)\/(q**(-33)\/q)) assuming q is positive.\nAnswer: q**(-3407\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130172568 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 1. Suppose 5*v - 44 = -4. Calculate the remainder when k(7) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 594*u**5\/13 - 46*u**4 - 2966*u**3\/13 - 1762*u**2\/13 + 12*u\/13 = 0.\nAnswer: -1, 0, 2\/297, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-185 - 413 + 805)*(5*t + 4 - 4) as o*t + z and give o.\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -65 and 0.8?\nAnswer: 65.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*48.\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and 0.265.\nAnswer: 0.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 3*y**2 + y**2)*(-2*y**3 + y**3 + 6*y**3) - 60*y**4 + 817*y**2 - y**5 + 13*y**3 - 817*y**2.\nAnswer: 14*y**5 - 60*y**4 + 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/11 (b) 0.3 (c) -2 (d) 3 (e) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*b, -20 = -2*t - 2*t - 4*b. Let l(h) = 12*h**2 - 31*h**2 + 32*h + 20*h + 18*h**2 - 272. Let x be l(6). Solve x*r = 4 - t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and -0.203208.\nAnswer: -9.203208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1 - 22*f**2 + 2*f - 6 - 1 + 4*f. Let x(g) = 7*g**2 - 2*g + 2. Calculate 5*t(r) + 16*x(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n + 0)*(-6131 + 37 + 15181 + 25777 - 7226 + 22833).\nAnswer: -100942*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2193.4 + -2117.365. Let c = i + -0.035. Let f = 76.00000119 - c. Round f to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z, -4*z - z + 20 = 5*c. Suppose 0 = c*v - 3*v - 2. Solve 0 = -5*k, -r - v*k = k + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s - 9. Suppose -5*k + 10 = 5. Let c(y) = -y - 1. Let b(g) = k*m(g) + 4*c(g). Differentiate b(o) wrt o.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j*k**2 - 2*j*k + 87*j*u**2 + 2*j*u - 14*k**2*u**2 - 2*u wrt k.\nAnswer: -6*j*k - 2*j - 28*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 10 = -10. Let y be ((1 + -2)\/3)\/s. Determine h so that -1\/6*h**4 + 1\/6*h - y*h**3 + 1\/6*h**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -601 + 3*y**2 + 270*y + 280*y - 442*y wrt y.\nAnswer: 6*y + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -56*o + 26*o + 16*o + 6*o**2 + 9. Let q be x(-7). Let b = q + 10. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3891 is divided by 456.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7314 - 31*t - 7314 - 6*t.\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4960 divided by 1240?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -33 - 6*c + 34 - c**2 + 0*c. Let o be y(-6). Suppose 5*n = 4*n - r + 10, r - o = 0. Solve -2*v - j + 2 = j, 3*j + n = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:27 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*v = 1432, 3*q - 7*q + 5653 = -3*v. List the prime factors of q.\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.134 - -105.134. Let m = -110.1 + s. Let x = m - -5.172. Round x to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -130*x - 98*x. Solve x = -8*s - 9 + 49 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from nrkbe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1449 and 510255.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/8 - g**3\/4 - g**2\/2 + g\/4 + 3\/8.\nAnswer: (g - 3)*(g - 1)*(g + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96700.01ug in kilograms?\nAnswer: 0.00009670001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14804 - -0.740454444\nAnswer: -14803.259545556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 1781300 - 1781300.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43011.75723 rounded to zero decimal places?\nAnswer: 43012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1. Let s(h) = -h**2 + 7*h + 3. Let t(n) = 3*q(n) + s(n). Calculate t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 + 13097*j**3\/2 - 8035677*j**2 + 6442898311*j\/2 - 1713500618605\/4.\nAnswer: (j - 397)**3*(j + 27385)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422232855?\nAnswer: 3, 5, 11, 193, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 119390581 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24169 - 554. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000918231474 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2 - 2) + 5 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)\/y)\/y**(-21) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -119. Let p be 0 + w\/22 - 4\/22. Determine a so that 2\/3*a**p + 0*a**2 - 1\/3*a**4 + 0 + 0*a = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.9597 + 549365.\nAnswer: 549351.0403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 74 = 4*r. What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6545142 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104825450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:21 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.14514 - 57.85408. Let h = -79 - o. What is h rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - ((sqrt(11) + 1)**2 + 5) - sqrt(11) - (sqrt(11) + 1 + 5)**2.\nAnswer: -64 - 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 7:39 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 372920 to the nearest one thousand.\nAnswer: 373000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 103858528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n**2 + 12*n - 15. Let b(u) = -9*u - 5*u + 6*u - 4*u + 15 + 7*u**2. Let w(s) = 7*b(s) + 6*y(s). What are the prime factors of w(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/7)*o**(-2\/11)*o)\/(o**(-5)*o\/(o*o**(1\/5)\/o*o*o)) assuming o is positive.\nAnswer: o**(2647\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = 8*t - 4531. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 866782 (base 9) to base 5\nAnswer: 113014043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3306, -3, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -6, 1\/4, -5, 20\/11?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03443 rounded to three dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -352*s + 365*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06316 - 66.93684. Let h = 1 + -2. Sort h, 2\/7, b.\nAnswer: b, h, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7675700 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3237 = -45591*s + 45604*s. Solve -229*k + 160 = -s*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 3*d. Let x = 4 + -12. Let z be (-1)\/(-1 - x\/6). Calculate m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 7. Let c be r(5). Suppose -6 = u - c*u. Suppose -u*v + 2*v = -28. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h - 4 = 0, 0 = -5*c - 2*h + 18. Which is greater: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3005*m = 3021*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 868.9 + -0.952867139.\nAnswer: 867.947132861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 0*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 332388 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*112\/(-70)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004866225 to five decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 11184 = -410. List the prime factors of f.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 101*t**2 - 82*t + 1960. Give b(-102).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - t + 10 = 0, g + 0*g = 4*t - 6. Suppose 6*j = j + 3*c + 385, g*j - 180 = -4*c. What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n - 753*n**3 + 0*n**4 + 750*n**3 + 1 - 4*n + n**2 + 2*n**4 to the form o*n**2 + v*n**4 + p*n + a + y*n**3 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (2 + 0)) + 4 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-20)*-1)\/(6\/14)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*h + 120*h + 14 + 39*h - 18*h in the form n*h + s and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1 - 2*h**2)*(-20*h - 237 + 237).\nAnswer: 40*h**3 + 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (92\/(-21) - (-2)\/(-7)) + 5. Let w = 1.8 + -4. Let g = -0.2 - w. Which is the closest to s? (a) g (b) 2\/19 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 37. Let a = n - 8. What is the third derivative of -25*w**2 - w**5 - 223*w**a + 223*w**3 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 3 + 1 + -4. Suppose w - 2*w = 3*g - 19, 5 = g. Which is the second biggest value? (a) t (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 74735*p. Let l(i) = -14*i. Calculate l(z(y)).\nAnswer: -1046290*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/755070 and 29\/1132605?\nAnswer: 2265210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*r - 935*r = -176*r - 20000 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1538*y**2 - 31148*y + 7763. What is s(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22 - 25 - (4 + -415). Calculate the highest common divisor of 3876 and n.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -6, -5, 319, 3\/4?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4308000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16 + 14\/3*f + 1\/3*f**2.\nAnswer: (f + 6)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s\/s**(-5))\/s)\/s**(1\/4))\/(s**(3\/8)\/(s*s**1)))**27)**(25\/2) assuming s is positive.\nAnswer: s**(39825\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from didnndd. Give prob of picking 1 i and 3 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = y + 93, 4*a - 172 = y + y. Let c be (-2)\/11 + (-104)\/y. Suppose x = 13 - c. What is the smallest common multiple of 14 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7401 + -29601\/4. What is the nearest to -4.1 in 22, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 + 155. Suppose 0*h + 2*h = -i + 16, -5*i + r = 4*h. What is the smallest common multiple of i and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2461 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 54*s**2 + 167*s + 437. Let q be j(-46). What is q rounded to the nearest 100?\nAnswer: -24200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 152*j*w**2 - 10144*j + w**3 - 342*w - 25 wrt w.\nAnswer: 304*j*w + 3*w**2 - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 12*w. Let o(i) = -7*i + 26*i - 8*i - 7*i. Determine b(o(q)).\nAnswer: -16*q**2 - 48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - n = -17 + 3, 3*o = 5*n + 26. Suppose -o = -u + 4*x, 3*x = 3 - 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Let h be l*(-1)\/3*-2. What is the tens digit of (18\/h)\/(3\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 0 - 1*-4. Let m be (5 + (-17)\/3)\/(6\/(-45)). Suppose -5*p = j*v + 2, -v - 29 = -2*v + m*p. Calculate the remainder when 15 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t - 358 = -190 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((10*(-3)\/(-12))\/5)\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o + 184. Let s(f) = -65*f - 919. Let q(z) = 11*j(z) + 2*s(z). Let i be q(-14). Solve 0 = 5*y - 4*y + i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132\/33 - 3\/((-27)\/(-24))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35956*u + 71936*u - 35970*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -12. Suppose -5*g + a*g = 0. Solve -w + 3 = g, 3*d + 2 = 5*w - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, 67, 193, 379, 631, 955?\n\"Answer: u**3 + 21*u**2 + 2*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by -224.\nAnswer: 43\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) -0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**6\/180 - 13*u**5\/120 - 23*u**4\/6 - u**3\/2 + 175*u. Let l(p) be the third derivative of a(p). What is l(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:10 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)*v**(-3\/5)*v)\/(v**(-6)*v**(-9)) assuming v is positive.\nAnswer: v**(241\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (0 + sqrt(637)))*-6*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5730 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(r - r + r)*(-27*r + 3*r - 3*r) to y + v*r**2 + q*r and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 7:17 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-28) - (-297)\/21. Suppose 0 = -7*z - 0*z + r. Solve -2*q = z*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2 + 1 - 15*g + 8 - g**2. Let v be l(-12). What is v rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3043776800.\nAnswer: 2, 5, 3804721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9 = -0*o. Let b(j) = 1 + 2 - 4 - 10*j**2 + 11*j + j**3. Does 6 divide b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22111 (base 3) to base 2.\nAnswer: 11100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/3 + 2)\/((112\/42)\/(-8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79843?\nAnswer: 79843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4502 divided by -4\nAnswer: 2251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4314652 - 4314652 - 4903*o**2 - 6023*o**3 wrt o?\nAnswer: -36138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 782\/15 - 259\/5. Which is the smallest value? (a) -1\/5 (b) 0.76 (c) f (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.228672 weeks to seconds.\nAnswer: 138300.8256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 955212221 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (9104\/(-96) + 4)*(-6)\/800 and 127\/288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r - 57. What is g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 0.015 (c) -21 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 306?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 1)*(6*g**2 - 26*g**2 - 20*g**2)*(0*g - 3*g + g) to the form t + d*g + v*g**2 + b*g**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 6*k**2 + 39*k + 16. Let p be u(10). Let q be (-3)\/(-6) - (p - (-126)\/(-12)). Solve q*t = t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*k**2 - 2968 + 960 + 964 + 1044.\nAnswer: -558*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 4*d - 8. Let u(c) = c + 3. Let f be u(3). Let s be j(f). Suppose -19 = -g + s. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 + 2\/(-7). Let k be (4\/2 + s)\/(-1). Let b = k - -38. Calculate the highest common factor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*h - 3\/5*h**3 - 6\/5 + 6\/5*h**2.\nAnswer: -3*(h - 2)*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + 3.98. Let y = 47 - 20.5. Let s = 26 - y. What is the closest to -1\/3 in s, 3\/7, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 17*p + 3225. Determine t(-187).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000155233 rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*s**2 - 57*s**4 + 23*s**2 - 19*s**4 - 60*s**2 wrt s?\nAnswer: -1824*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 277435*y**2 - 2*y. Let v(c) = -2*c. Give m(v(n)).\nAnswer: 1109740*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197 + 31. Suppose -5*x + 3*p + 27 = 8, 2*p = -2*x - 2. Suppose 5*s = x*s + v. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 49*l**3\/6 - 1343132*l**2\/3 + 22242478*l - 276379512 = 0.\nAnswer: 174\/7, 54772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 84, 196, 352, 552?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 5*u**2 + 5*u - 4. Let o be p(5). Let q(x) = 20*x**2 + 11 + 4*x**3 + 3*x - 3*x**3 - 41*x**2. Is q(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/(-12))\/(3\/(-8)). Let u(z) = z**3 - z**2 + z. Let r(n) = -3*n**4 - 6*n**3 - 21*n**2. Let m(j) = h*u(j) + r(j). Solve m(i) = 0 for i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*l + 2*f - 65, 4*l - 8 = 2*f. Solve 5*m - s + 22 = 8, l*s = m - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 + 7*y. Let o be n(5). Let k = o + -19. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12876660 and 1350.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*y**2 + 556 - 556.\nAnswer: -372*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 - 7. Let w(n) = -2048*n - 3. Determine i(w(z)).\nAnswer: -25165824*z**2 - 73728*z - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*y + 19, -y + 4*x - 6 = 1. Suppose -6 - 2 = -4*n. Suppose 4*s = n*r + 6, 4*r - 1 = -s + 14. Solve 5*l = 2*t + 9, 4*t = -y*l - 0 - s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 - -2.6. Put -0.5, d, -3, 2 in increasing order.\nAnswer: -3, d, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 11889 - 14691. Suppose -17*u + 23*u - z = 0. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v + 2. Suppose -9 = 3*r, 3 = 3*g + v*r - 6. Is 8 a factor of 8\/(-2)*(-7 + g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5256 + -4837. What is the remainder when b is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 189948.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v - 7*v**3 - 1339*v**2 - 660*v**2 + 2*v**3 + 3*v in the form h*v + r + u*v**3 + s*v**2 and give s.\nAnswer: -1999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 3*q + 6. Suppose g + 6 = -t, 3*g - 4*g = -4*t - 19. Let w be u(t). Let y be (1 + -1)\/(-1) + -1. Put y, 5, w in decreasing order.\nAnswer: 5, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4196 and -49036455.\nAnswer: -49036455.4196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.685736 milligrams to kilograms.\nAnswer: 0.000004685736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18002*t**3 + 18006*t**3 - 90006*t**3 + 18000*t**3 + 18003*t**3 + 18006*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 656389?\nAnswer: 23\/656389","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(68)*2)**2.\nAnswer: -16*sqrt(17) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 3*n)*(n - 2 + 2) - 3*n**2 + 4*n**2 + 1 - 6547*n + 6587*n.\nAnswer: 2*n**2 + 40*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 - c**2 + 1 - c + 2 - 1 + 14*c**3 + 3*c**4 as a*c**2 + t + y*c + k*c**4 + g*c**3 and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + b = 2, 14*j + 2 = 11*j + b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.2736?\nAnswer: 0.02736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 11 + 1 + 1. Let z be (8\/(-10))\/((-8)\/(-600)). Let a be ((-2)\/(-5))\/((-2)\/z). Solve 0 = -5*j + u + a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/(-81)*7\/2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -613 divided by -7.\nAnswer: 613\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 12*f**2 + 12*f - 6. Let k be p(11). Suppose -k*m - 4*r + 16651 = -3*r, m + 4*r = 3334. What is m rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 768.4, -1\/1728, -3, 0.4, -4.\nAnswer: -4, -3, -1\/1728, 0.4, 768.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/348 and 79\/2236306.\nAnswer: 13417836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-10)*(81\/(-2))\/3*13190\/(-31656)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 15*s + 5. Let f be 262\/18 + (-8)\/(-18). Let z be r(f). Suppose 80 = 2*w + 4*n, -5*w = -z*n + 60 - 290. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from {j: 4, e: 6, u: 2, q: 3, g: 3}?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3705 - -37137\/10. Calculate the common denominator of x and 93\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 41529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 6*l**2 - 10*l - 3. Let p be c(-4). Factor 91*r**2 + 87*r**2 - 2*r**3 + p*r - 188*r**2 + 7*r**3.\nAnswer: 5*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697*o = -1119*o + 10982 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*m + 2959 = -581 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7245, -7667, -8419, -9507, -10937, -12715, -14847, -17339?\nAnswer: -20197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(3*(-12)\/36)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from ttsttttssssttsssst.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s = -32. Suppose -3*m + s*m = 320. Let h = -33 + m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1375) + -1*sqrt(1375) + sqrt(55)))\/(4*6*sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((28\/16)\/(-7))\/((-5)\/(-36)) and -7\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*u - 2*u + 0*u)*(2 + 1 - 5) - 3 - 2*u + 3 - 21*u - 28 + 28 + (-1 + 3 - 4)*(-2 - u + 2) + 2*u + 2*u - 5*u)*(10*u**3 + 3 - 3).\nAnswer: -240*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-24)\/68 + 6 + -2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178253 a multiple of 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/60 and 47\/38955?\nAnswer: 155820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26342198\/499 + -52790. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 3*r**2 - 3*r + 3. Let n be q(-4). What is the units digit of (n*9)\/(-1)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1198817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 912*n**2 - 220941*n - 5834430.\nAnswer: -(n + 30)*(n + 441)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w + 90 = 0. What is the second derivative of 4*r - 12*r - 3*r + w*r**2 wrt r?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4802 + -3?\nAnswer: -4805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2685176 + -38.\nAnswer: -2685214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, m: 4, o: 1}. Give prob of picking 4 m.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 11*v**2 + 22*v - 20. Let l be c(12). Solve l = 26*x + 22 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 534.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 15*k**2. Let z(x) = -x**2 + 55. What is z(h(d))?\nAnswer: -225*d**4 + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 41*k = -700. Suppose -14*x - 11*x + k = 0. Solve -x*j = -3*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:51 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3127 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -13) + 14 - (17 + 4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.073 - 0.173. What is the closest to t in 5, -5, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 9*v**2 + 30*v - 17. Let s(q) = q**3 - 4*q**2 + 16*q - 9. Let k(i) = 4*n(i) - 7*s(i). Let z be k(7). Solve 0 = -5*x + z*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m + 45. Let a be 8\/60 + (-133)\/m. Calculate the highest common divisor of a and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.558 - -0.058. Let k = 0.01 - 0.41. Sort k, r, 7\/4 in decreasing order.\nAnswer: 7\/4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9332296 and 4690?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1.6, 5\/3, 0.3, -5, 0.1, -17\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-152)\/(-504))\/(2033\/1284).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1323 = -8*x + 1411. Solve -l = 3*y + x, -8*y - 8 = -4*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79, 75, 67, 55?\n\"Answer: -2*p**2 + 2*p + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*o**4 + 48*o**4 + 35*o**4 + (1 + 1 - 4)*(2*o**4 + 0*o**3 + 2*o**3 - o**4) to the form s + h*o**2 + i*o + c*o**3 + f*o**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.83 + -6.82. Suppose -1 = -y + 4. Let b be 1\/y - 4\/(-30). Is n less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -635.2 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.09*0.646.\nAnswer: -5.22614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*w = -2460, -3*m + 4*m - 820 = 3*w. What are the prime factors of m?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*x - 2874 = 17141 - 4895 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**3 + 29*d**2 - 4*d + 9. Let m(q) be the second derivative of q**5\/20 + 7*q**4\/12 - q**3\/6 + q**2 - 2710*q + 2. Give -9*m(g) + 2*p(g).\nAnswer: g**3 - 5*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**3 + 49260*k**2 + 22295295*k + 2467593450 = 0.\nAnswer: -219, 10290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v + 12 = 0. Let z = 4.88 - -0.12. Let l = -43\/99 - -6\/11. What is the second smallest value in l, v, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-18 - (-23 - -14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2442 and 38167239.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:08 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 at most -1069\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -44, -0.16, -5, 2\/5, 21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 5. Let s = 21 - 21. Which is greater: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -822 + 768.63. Let s = 53 + d. Which is the third biggest value? (a) 5 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 0.4 (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2656138, 5312364, 7968592, 10624822, 13281054, 15937288, 18593524?\n\"Answer: f**2 + 2656223*f - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.01 + -1. Let t = y + -15.01. Let h = t + 14.99. Which is the smallest value? (a) 4 (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -974*f + 14382. What is v(15)?\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38001176063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.3, 0.03, -272\/31 in descending order.\nAnswer: 0.03, -0.3, -6, -272\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - 4*g - 1. Let j(b) = -b**2 + 2*b - 1. Let l(t) = f(t) + 5*j(t). Suppose v + 2*v = -18. Calculate l(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -6, 6, 2, 7, 4 in ascending order.\nAnswer: -6, 5\/3, 2, 4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4061075\/17 - 238759. Is q less than or equal to 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*x, 3*z = -4*x + 1 - 2. Let o(b) = 2*b - 5. Let v(l) = -l + 3. Let a(y) = 2*o(y) + 5*v(y). Let c be a(z). Sort 1, c, 2 in decreasing order.\nAnswer: 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**3\/3 + j**2 + 4*j + 337. What is q(-5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202507677 is divided by 25313459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:55 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 - (7 + -1 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 399815973 a multiple of 4389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 923956 - 532853. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(3\/2))\/(j*j**(-1\/9)\/j)*(j*(j*(j\/(j*j**(-3\/5)))\/j*j)\/j)**(1\/14) assuming j is positive.\nAnswer: j**(1087\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -7, -1.32, -0.06 in increasing order.\nAnswer: -7, -5, -1.32, -0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 3*u**2 - 2*u + 2. Let r be h(-2). What is the nearest to -0.1 in r, -0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -115.6 in 12, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 584 + m**2 - 605 - 2*m**2 to the form w*m**2 + q + x*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, -17 in decreasing order.\nAnswer: -3, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) -0.08 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*f + 52. What is the second derivative of f*h**5 + 5*h**2 + 5*h**2 - 8*h**2 + 55*h wrt h?\nAnswer: 540*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/3 + 12*b + 1. What is the remainder when x(-5) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*x - 317861 = 0, -5*l + 3*x + 162952 = -154910. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1 = -7, -3*l + 2 = 2*y. Let x(j) = 6*j + y - 6*j + 7*j - 1. Give x(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078977 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: Which is the smallest value? (a) -3\/14 (b) -2.8 (c) -5\/1278 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000143714 rounded to 6 dps?\nAnswer: 0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) -2 (c) -1\/6 (d) 4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -33*t + 57*t - 20*t. Let m(c) = -131*c**2. Give r(m(u)).\nAnswer: -524*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5214)\/(-1659))\/(28\/(-98))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*i + 1637 + 28307 = 565*i for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0*s + 1 + s - 20 + 3*s. Let h be r(6). Is (-826)\/(-10) - (-2)\/h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*v = 50 - 58, m - 4 = 5*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -213 - 1761*b**4 + 839 + 3144*b**4 wrt b?\nAnswer: 5532*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -4. Let m = j - -35. What is the third smallest value in 0.5, m, -4\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*u**2 + 1)*(-5*u + 2*u + 6*u)*(7 - 5 + 15).\nAnswer: -204*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 6*j - 4. Let w be n(3). Let q = -10 - w. Factor 2\/9*a**q - 4\/9*a**2 + 2\/9*a + 0.\nAnswer: 2*a*(a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 21*m + 2*m = 420, 0*w - 5*w - 12 = -3*m + 32 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1062 - 4*i**2 + 43 + 1565 - 552 + (-2*i + 2*i - i)*(i + 2 - 2) - 4*i**2 + 6*i**2 - 4*i**2 as f*i**2 + b*i + v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 124672.6 minutes in nanoseconds?\nAnswer: 7480356000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.11 (b) -2\/11 (c) -2 (d) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11538, -11546, -11554, -11562?\n\"Answer: -8*r - 11530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 0*v + 1 = 1544*c - 1546*c, 3*v + 3 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 849197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 163*x**2 + 87*x**2 - 6*x + 9*x + 96*x**2.\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 6108941.\nAnswer: -61089410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -669888300 rounded to the nearest 1000000?\nAnswer: -670000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1387, 0, -2\/5?\nAnswer: 1387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 5*o**2 + 5*o + 1. Give v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/102703 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*v = 3356, 5*v + 724 + 1271 = 3*q. Calculate the greatest common divisor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -574*z - 77921. Determine w(-138).\nAnswer: 1291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3416 - 970141\/284. Is d >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67356 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -154*g + 141*g - 130 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3 + a**3 - 1 - 19*a**2 + 5*a + 12*a**2. Let o be v(6). What are the prime factors of -4 - ((-16)\/o + -42)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -136, -140, -154, -184, -236, -316?\n\"Answer: -b**3 + b**2 - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/14)\/(-1)*(-12010)\/28824.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1407*c = -48123 + 1692 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**7\/840 - g**6\/90 - g**5\/120 + g**4\/6 - 11*g**3\/3 - 11*g. Let b(d) be the second derivative of i(d). What is b(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3460313 and 2?\nAnswer: 6920626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 391 - (-2 + (5 - 6)). Let p = w + -351. What is the remainder when 171 is divided by p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1584822 * -52\nAnswer: -82410744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 23.445, -1, -1\/5.\nAnswer: -8, -1, -1\/5, 23.445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 510 and 22.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 534902353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 449262 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -417.876 + 15.796. Let w = l + 417. What is w rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1688, -3375, -5062, -6749, -8436?\nAnswer: -10123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y**3 - 2*y - 1. Calculate n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -91162788165 and -1?\nAnswer: 91162788164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88.99999963 + -89. Round l to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*j**5 + 1 + (-j**2 - 3*j**4 + j**2)*(0*j - 3*j + j) + (34*j**3 + 36*j**3 - 61*j**3)*(-2*j + 4 + 2*j + 2*j**2) + (-2*j + j**4 + 2*j)*(-j + j - j).\nAnswer: 21*j**5 + 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifyyt. What is prob of sequence fiy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:48 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 24*w**2 - 47*w + 17. Let g be i(22). Let l = 45 + g. Let k = 0.09 - -3.91. What is the smallest value in k, l, -1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 65*x - 20*x + 30*x.\nAnswer: 75*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 8*r**2 + 14*r - 10. Let i be k(10). Let y = 7 - i. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017430592 to 5 dps.\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4\/4 + 63*d**3\/2 - 111*d**2\/4 - 126*d + 123 = 0.\nAnswer: -2, 1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.2465 years in months?\nAnswer: 2306.958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61091 is divided by 55?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44995577 = 12*l - 18604423. Round l to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 12 = 14*o. Suppose 0 = -4*l - 0*l - o. Let k be 1 + 3 + (-1 - -1). Put k, 2, l in ascending order.\nAnswer: l, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50168020 divided by -4.\nAnswer: -12542005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y + 5. Let d = -48 + 37. Suppose -31*r + 29*r - 1 = 3*p, 0 = -2*r - 4*p - 4. Let h(m) = -14*m + 16. Determine d*n(q) + r*h(q).\nAnswer: -q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -11*j. Let p(a) = a**2 - 521806*a. Determine m(p(h)).\nAnswer: -11*h**2 + 5739866*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/69*((-102)\/16)\/17. Let l = -371\/552 - k. Put l, 2\/11, 1\/3, -4 in decreasing order.\nAnswer: 1\/3, 2\/11, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + -36. Let s = -39 - t. Solve -4*f + 5*o + 23 = 0, 2*f - f - s*o = 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - r + 8 = -5, 52 = -4*w + 2*r. Let b = 3 + w. Let t = b + 11. Is 0 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 383*k - 383*k. Let r(x) = -9*x. Determine u(r(t)).\nAnswer: -162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 9 = -9. Let f(o) = 2*o**2 - 3*o**i + 62 - 61. Suppose 0 = 3*s - 2*s + 5. Let d(w) = 3*w**2 - 5. What is s*f(y) - d(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 6 = k - 0*k, 4*q = -2*k - 8. Let d be k - (-2 - (1 - -1)). Find the second derivative of -2 - 36*w + 5*w**5 + d + 41*w wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.136 rounded to one dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {i: 2, y: 16}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/11)*z**(-1)*z*z**(-3\/4)\/(z**(-4)\/z) assuming z is positive.\nAnswer: z**(191\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -624\nAnswer: 29\/624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12023*b**2*w + 88*b**2 - 21*b*w + 1024*b - 47*w wrt b.\nAnswer: -24046*w + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -37 + -46 + 130?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -24*o. Calculate i(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (2*sqrt(1872) + sqrt(1872) + sqrt(1872) - sqrt(1872))**2 + sqrt(1872) + -1) + 2*(-5 + 3 + sqrt(1872)) + 5.\nAnswer: 48*sqrt(13) + 33691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2217 + 2191 = 3*k, 4*s = 4*k + 40 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -53.5 and 210.52?\nAnswer: 264.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67966160?\nAnswer: 2, 5, 337, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 3*d**2 + 2*d + 47. Determine c(-5).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**16)\/w*w**5)\/(w\/(w\/w**(-1\/5))*w*w\/((w\/w**17)\/w)) assuming w is positive.\nAnswer: w**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -419612532 divided by 41?\nAnswer: -10234452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 3:38 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-1\/2)\/m)*(m\/((m\/m**(-3)*m)\/m)*m)\/m*m**(1\/7)\/m*((m**2\/m)\/m)\/m*(((m**(-3)*m)\/m)\/(m**(-6)\/m))**(-27\/2) assuming m is positive.\nAnswer: m**(-789\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:32 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7241 times -2.56?\nAnswer: -18536.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -99, -82, -47, 12, 101, 226?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - x**2 - x**2)*(x + 0*x + 1 + 2*x) in the form d + n*x**3 + r*x + o*x**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 11*q - 54. Let d = q - -16. What are the prime factors of d?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 7*m - 13. Let w be c(9). Suppose -3*q - 4 = -w*q. Solve 12 = t - s - 3*s, 4 = q*t - 3*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 3*v + 5. Let t be o(4). Let w = 91 + -84. Suppose 0 = w*y - 38 + 24. Solve -3 = y*f + t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -15. Let t = 18.778 + -18.378. Which is the closest to -7? (a) -1\/4 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2662, -5176, -7674, -10150, -12598, -15012, -17386?\nAnswer: -19714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -11 + 41 + (-4 - (-1 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*g + 580 = -219*g. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12390 - 12390 + 10933*o - 10933*o - 43*o**3.\nAnswer: -43*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 15592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -44540 (base 6) in base 12?\nAnswer: -3750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*z + z + 24, 0 = -2*j + z + 7. Suppose -q + 24 = q. Let w = -7 + q. Solve -4*s + 7*s - w*k = 11, 5 = 5*s - j*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8276509 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7\/3, 0.2, -2\/21, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -10. Suppose 7 - 32 = -r*t. Let q = -126 - -128. What is the greatest common factor of q and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 10*t + 7*t - 2247, 2*j - 1502 = 3*t. Suppose -j = -4*x + 5*m, 0 = -4*x - 5*m + 199 + 536. Calculate the greatest common divisor of 37 and x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**6\/360 + 5*t**3\/6 + 21*t**2. Let w(d) be the first derivative of s(d). Let c(z) = z**2 - 29*z. Calculate w(c(h)).\nAnswer: h**4 - 58*h**3 + 841*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/251, -3\/4, 5\/11, 0, 4, 0.5, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i - 10*i - 29*i)*(i + 0*i - 3*i)*(5 + 4*i**2 - 5).\nAnswer: 224*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5)\/(25\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -161\/429, 2.5, -0.2?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-167)\/(-11) - 1) + (-116)\/638 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from ucucuc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74081781*o**5 - 460812476*o**2 wrt o?\nAnswer: 4444906860*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*m + 2*m - 92 + 284. Solve 2*a + 4*j + 14 = 0, -2*j = m*a - 4*a + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551 (base 8) to base 2.\nAnswer: 101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*s + 4*s. Are s and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/21)\/k**(5\/6)*(k*k*k*k**(-7))\/(k\/(k*k**(-7)*k)) assuming k is positive.\nAnswer: k**(-153\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -135, -139?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 288408.648 rounded to the nearest one hundred?\nAnswer: 288400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*o + 44884 = 380*o. Let v = o + 77095\/12. What is the common denominator of 29\/12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1 - n**3 + n**2 - 3*n - 3 - 8*n**2. Let c be g(-8). Is 16 a factor of (c + 1)*(-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11739, -11741, -11669, -11517, -11279, -10949, -10521, -9989?\n\"Answer: v**3 + 31*v**2 - 102*v - 11669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11284 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t - 3*t)*(-520*t + 283*t - 538*t)*(t**2 - t**2 - t**3).\nAnswer: -1550*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, 6, 18, 30?\n\"Answer: 12*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 18 - 3 - 7 + 27 - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 22. What is the lowest common multiple of 8 and y(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41250 and 28500?\nAnswer: 1567500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 221931208 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278343333 to the nearest integer?\nAnswer: 16684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 4 - 4 + 0*g - 2*g + 5*g + (-3 + 3 - 2)*(g - 3*g + g) + 0*g + g - 2*g + 1 + 2*g - 1 - 1 + 2*g + 1 - 2 + 2 - 4*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 2*r**2 - 7*r + 1. What is the tens digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 12*z**2 + 10*z - 22. Let a be o(6). Suppose 0*f + 2*x = 2*f + a, 4*x - 59 = 3*f. Is f greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*z - 9. Suppose -z*k + 3*g + 3 + 30 = 0, 2*k - g - 19 = 0. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 25 = -0*n, 2*l + 3*n + 15 = 0. Solve 5*m + 3*b - 1 = 0, -5*b = -3*m - l + 21 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(1539) + sqrt(1539) - sqrt(1539))*1 + (sqrt(1539) + 1)*5 + 4*(sqrt(1539) + 0))**2.\nAnswer: 2520*sqrt(19) + 301744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.11883126 from -3.\nAnswer: -2.88116874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2951*j + 2953*j - t - 10 = 0, -2*j + 3 = -3*t - 3 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 4*h - 3*h + 8*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 134?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. Let d = 1.1 - 2.7. Let v = d + 2. Which is the closest to -1? (a) k (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -780, -459, 80, 837?\n\"Answer: 109*p**2 - 6*p - 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(10\/7)\/(s*s*s*(s*s**(2\/5))\/s*s*s**1))**(-2\/7) assuming s is positive.\nAnswer: s**(278\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 3, b: 2, a: 2, q: 2, u: 2}. What is prob of sequence auu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 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: In base 5, what is -10 - -101023010?\nAnswer: 101023000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39729704 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + 0. What is the smallest common multiple of t and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -7, -7*o = -8*o + 4*n + 28 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*c*k**3 + 1160*c*k**2 - 36354*c wrt k.\nAnswer: -27*c*k**2 + 2320*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2040 + 2035. Let n(a) = -a**3 - 7*a**2 + a + 61. Let b be n(j). Let -4*i + 11\/6*i**2 - b - 1\/6*i**3 = 0. What is i?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 938 from 0.07597.\nAnswer: -937.92403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 95, -0.9, -0.03, 4\/9.\nAnswer: -0.9, -0.03, 4\/9, 7, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1404232 + 4?\nAnswer: -1404223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - a**2 - a. Let z(c) = -4*c**3 - c**2 - c - 2. Let u(d) = -3*k(d) + z(d). What is the remainder when u(-2) is divided by 26\/7 - 26\/(-91)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135016 + -1?\nAnswer: -135020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -469, -933, -1397, -1861, -2325, -2789?\n\"Answer: -464*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233233101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9451, -37796, -85037, -151174, -236207, -340136?\nAnswer: -462961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (1 + (-1 - (-8 - -3)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {a: 10, m: 4, v: 2, w: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 247*f - 217. Give u(120).\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.5, -30, -0.007, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3201 and 51\/2309?\nAnswer: 7391109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 535898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*p = -4*p - 768 + 1062 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 331*x + 333*x + 3 - 3 - 671*x. Let w(y) = y - 1. Let t(n) = 2*n + 1. Let m(u) = -t(u) - w(u). Give s(m(v)).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + 84. Suppose -12 = -4*p, -7*p = -5*m - 2*p + h. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-1 - 2 + 5)*(2*x**2 + 3 - 3)*(154*x**3 + 268*x**3 - 90*x**3).\nAnswer: 1328*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 11) to base 15.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -780*z - 25614 + 3774 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t + 1. Let a = -3 - -4. Let d(j) = -5*j + 5*j + 6*j - a. Let k = 8 - 11. Calculate k*d(v) - 4*f(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6607 divided by -1402?\nAnswer: -6607\/1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 8*x = -2278. Suppose 2*o = 4, -4*g + 2*o + 3 - 363 = 0. Let c = g + x. Calculate the highest common factor of c and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, q: 7, g: 1, h: 4}. Give prob of picking 2 q and 1 g.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001044459 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**3 - 142*s**2 + 21*s + 972. Determine h(28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18766698*y**3 - 37179988*y wrt y?\nAnswer: -112600188*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/24 - t**3\/6 + 5*t**2. Let u be f(3). Suppose 0*y + 0 - 1\/3*y**u = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.228116 millimeters?\nAnswer: 228.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4029490 divided by -4029490.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 279615 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4437349 and 3423.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let s(v) = v**3 - 3*v**2 + 2*v. Let i be s(z). Let y = 6 + -5. Is y equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621513 is divided by 51790?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = o - z, -5*z = o - z - 15. Let l = 29 - 31. Calculate the smallest common multiple of (1 + (-25)\/3)\/(l\/6) and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220660 and 36380?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 1194*o + 5248*o + 4.\nAnswer: 4054*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50409128 and 418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*j + 252 = 246*j - 428. Solve -6\/5*z - 2\/5*z**j - 4\/5 = 0 for z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5637 and 30464227?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*o - 17 = 0, -3*t + 4*o = 3*o + 19. Which is the second smallest value? (a) -2\/7 (b) -1 (c) t (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-5 - (-8 + (5 - -2))) + 24\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4\/3 + (-284)\/(-12)*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + 20. Let j be z(4). Sort 1, -4, j in descending order.\nAnswer: 1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -1.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5 = -4. Let g(z) = -z**3 - z**2 - 3*z + 8. Let s(m) = m**3 + m**2 + 4*m - 9. Let b(h) = 7*g(h) + 6*s(h). What are the prime factors of b(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-203)\/(-5) + 4*(2 - 3). Let v = j - 36. Let f = 0.2 + 0.2. Which is the fourth biggest value? (a) 0.2 (b) f (c) 9 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3357865622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4*1)\/(18\/(-81)). Let w(u) be the second derivative of u**5\/20 - 5*u**4\/6 - u**3\/2 + 13*u**2\/2 - 22*u. Let l be w(10). Which is greater: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c9e2 + -2?\nAnswer: c9e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1544 + -1546. Let f(i) = 2*i - 15. Let v be f(7). What is the nearest to v in 1, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*s + 5*d, 3*s - d + 2*d = 22. Calculate the least common multiple of s and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 bigger than -4\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q - 23*q = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 106*c + 3. Let a be m(4). Suppose -2*f + 3*t + 1052 = 3*f, 0 = -2*f - 5*t + a. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*a = 15 + 4, 4*a = -12. Let j(p) = 34*p - 292. What is the smallest common multiple of j(10) and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251 + -246. Let p be 1\/(-2 - 26\/(-12)). Solve -5*a - p = -b, -k*b - a + 3 = a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8 and -41\/18302.\nAnswer: 73208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1*46\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.13 (b) 0.08 (c) 1\/4 (d) -0.3 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 60 = 4*t, 0 = 5*t + 5*p - 100 + 15. Let c(i) = -i**3 + 12*i**2 + 14*i - 10. Let s be c(t). Let j = 13 + s. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 12. Let q be ((-20)\/(-15))\/(2\/9*-1). What is the lowest common multiple of x and (-385)\/(-175)*(-3 + 2 - q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -10.4. Let g = 1123 + -1122. What is the third biggest value in -2\/101, a, g?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 1. Let r(s) = s**2 - 3 + 5 - 3 + 13*s + 5. Determine 26*f(p) - 6*r(p).\nAnswer: -6*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + y + 34, 13*y - 15*y = 2*s - 22. Solve s*x - 95 = 28*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*k = 13, -k + 4 - 15 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79789359*i**4 - i**2 - 268567270.\nAnswer: 1914944616*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1991 + 780966.\nAnswer: 778975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22133.98 centimeters to meters.\nAnswer: 221.3398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12376 - -74305\/6. Is g != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8433 - 5283. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-6)\/(180\/(-70))*(5 + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 21385.884 months?\nAnswer: 1.782157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710 (base 10) in base 3?\nAnswer: -2100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.946 + -0.054. Let w = 42 + c. Let k = 15.6 - 11.6. Sort 2\/5, k, w in ascending order.\nAnswer: w, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7985*h**2 + 1041*h wrt h?\nAnswer: -15970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148660 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*w - 204*w + 20 = 0, 3*d + w + 0 - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -102, -3, -5, -1 in descending order.\nAnswer: 5, 4, -1, -3, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 302\/11*k**2 + 3536\/11*k + 6\/11*k**3 - 6760\/11.\nAnswer: 2*(k + 26)**2*(3*k - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 40. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6762947688 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/11 (b) -1\/3 (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2467102 rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 0, 0*f - 16 = -2*d + f. Let b be (d\/(-18))\/((-10)\/15). Sort -3, b, 1.\nAnswer: -3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-8)\/6)\/(-6*5\/(-360)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -3.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 15 = 2*m. Let w = -695 + 698. Is m at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13103*u - 12043*u + 25148*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*x + 6363 = 90*x. Does 52 divide 5 + -4 + 2 + x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45120526 or -45120528?\nAnswer: -45120528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30954?\nAnswer: 2, 3, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -54. Let l(t) = t**3 - 6*t**2 - 3*t - 1. Let p(k) = 5*k**3 - 31*k**2 - 15*k - 4. Let c(n) = 11*l(n) - 2*p(n). Determine c(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 129*j + 708. Let v(c) = 26*c + 135. Determine 21*v(b) - 4*y(b).\nAnswer: 30*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*q**2\/7 - 450012*q\/7 - 17527653\/7 = 0. Calculate q.\nAnswer: -149809\/5, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*s)*(11*s**2 + 2*s**2 - 5*s**2) + (3*s - s - s)*(-12*s - 8*s - 7*s)*(-2*s + 1 - 1).\nAnswer: 70*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -2, -3\/2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 27 - 15*b**3 + 27 - 25*b.\nAnswer: -13*b**3 - 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.099 and -118?\nAnswer: 11.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46 - (-2 - (1 + -2))\/1. Suppose -25 = 8*t + u. Put 3, t, -2 in descending order.\nAnswer: 3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 46. Let b = -15 - a. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694632448 to the power of 1\/2, to the nearest integer?\nAnswer: 51910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 61364 = 12576. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42223, 84454, 126697, 168958, 211243, 253558, 295909?\n\"Answer: c**3 + 42224*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.1. Let z = g + 0.4. Let h be ((-3)\/(-15))\/((-4)\/5). What is the closest to 1 in z, h, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -928, 5, 9, 0 in ascending order.\nAnswer: -928, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001908198 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 5, y: 12}. What is prob of sequence ty?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -6. Does 10 divide y\/((-72)\/74 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yly when three letters picked without replacement from {y: 4, b: 3, g: 4, n: 1, j: 1, l: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1175)\/(-470)*56\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 + 6*f**3 + 3*f**3)*(0 + 2 - 1) - 64*f**3 - 6*f**3 - 21*f**3 + (0 + 0 - f)*(4*f - 2*f**2 - 4*f).\nAnswer: -84*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 54*k**2 + 47*k + 108. What is the hundreds digit of z(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17620?\nAnswer: 2, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i. Suppose 5*y = -5*a + 15, i = -2*y + a - 13 + 4. Sort 1, y, 0 in decreasing order.\nAnswer: 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6*o - 7)*(-3 + 2 - 5) + 2*o + 3*o - 4*o.\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13921 - -13920.2. What is the closest to a in 0.1, 1.6, 2\/21, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17019908 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: Suppose -7*z + 3*z + 8 = 0. Let p = -4 - -8. Determine v so that 2*v - 4*v**z - 2 + p + 0 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5, 0, 4, -121 in increasing order.\nAnswer: -121, -5, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0849 from 0.1294670165.\nAnswer: 0.0445670165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4988 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z + 78. Let j be d(19). Solve i = 4 - j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 391 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 387\/65 + -29\/5. Let c be 6\/(-21)*(1 + -2). What is the closest to -2\/7 in p, 1\/3, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 442110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:28 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 2*b**2)*(0 + 1 - 3) - b**2 + b**2 + b**2 - 6*b**2 - 4 + 4.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32747776 to the power of 1\/2, to the nearest integer?\nAnswer: 5723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 363 or 366?\nAnswer: 363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41881630 is divided by 81?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*l = -152*l - 187*l + 8032 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -26*y - 2*y**2 - 22*y - 22*y + 109*y - 26*y. Let m(p) = p**3 + 11*p**2 - 66*p. Give -2*m(s) - 11*n(s).\nAnswer: -2*s**3 - 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -15. Suppose -2*z = -0*u - 2*u + r, 0 = -5*z - 10. Suppose 119 = 34*f - 51. Solve -f*y - a - 3*a = -6, -3*y + a = u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1\/9, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - -20) + -10 - 19) + -14?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -4 (c) 0 (d) -0.4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 419505 and 585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9))**(1\/13) assuming l is positive.\nAnswer: l**(-2\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -100*s + 1301. Let l be q(13). What is the closest to -7\/2 in -2, l, -3, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207329941?\nAnswer: 7, 13, 107, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (1257\/9)\/(5\/((-30)\/(-2))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 63684899083?\nAnswer: 63684899082.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 15*r - 11. Let v be i(-16). Let a(k) = k**2 - 265 + k**3 + v - 8*k**2 - k. Is a(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 - -109. Suppose -6*o - 18 + 60 = l. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.852 - 0.148. Let r(x) = -x**3 + 3*x**2 - 9*x + 26. Let c be r(3). Sort s, 1, -5, c.\nAnswer: -5, s, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -143\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/1044 and (6\/(-8) - (15 + 2 + -10))\/(-36).\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-160)\/800)\/(51\/90). What is the second smallest value in 19, 17, p?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23497229 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1305\/(-435)*((-3)\/(-13))\/3\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 28*d**2 - 214*d - 1621. Calculate s(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4859 divided by -75?\nAnswer: 4859\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24971 = -26*f + 24373 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 r, and 1 s when four letters picked without replacement from {s: 1, c: 1, n: 2, r: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. What is the third derivative of -h*w**4 - 130*w**3 + 130*w**3 - 4*w**2 wrt w?\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120 + 2*k**2 + 70*k**2 - 69*k**2 to the form t*k + o + f*k**2 and give o.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/1)\/(8\/12). Let r be (-11)\/22 + (-38)\/(-4). Solve -r = -2*b - u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b7eb (base 15) in base 6?\nAnswer: 500105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1299, 35, 5, 12 in increasing order.\nAnswer: -2, 5, 12, 35, 1299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**3\/3 + 4*o - 2. Let d(q) = q + 23. Determine g(d(p)).\nAnswer: 2*p + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 68*g**2 - 13*g + 4. Let b = 38 - 43. Is r(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21331 - -1?\nAnswer: -21330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2306.45205 minutes to weeks.\nAnswer: 0.2288146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 23.4. Let i = y + 29. Let k = 5 - i. What is the second biggest value in k, 2\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4293889799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 675\/30*68\/(-153)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 20438?\nAnswer: 163504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/6 + 5*l**2\/6 - 2*l\/3.\nAnswer: -l*(l - 4)*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 5*q + 33, -1130*q - 55 = -5*d - 1135*q for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1510*x**4 + 1445.\nAnswer: -6040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + 141 + 2*j**2 - 10*j - 143 - 6*j**2 as g + d*j + i*j**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -508234*w**2 + 585768 wrt w.\nAnswer: -1016468*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -308140000 to the nearest 1000000.\nAnswer: -308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02684464 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2. Let f(a) = -20*a. Calculate f(t(h)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 126\/35 + -2*(-2 + 14\/4). Let q = 9 - 8.2. Let b = 1 - q. Put 0.5, b, m in decreasing order.\nAnswer: m, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152 - 25?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54494 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 3. Let i(f) = 8*f + 267 + 265 - 524. What is 4*i(z) - 11*n(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 30. Calculate f(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 - 1296\/11. Let i = 344\/15 + -113\/5. Put 1\/7, i, s in increasing order.\nAnswer: 1\/7, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 2. Let z be s(-2). Suppose z*p = -4*p. Suppose p*q + q - 6 = 0. Solve 5*t + q*y = y - 5, 5*t - y - 7 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let r(g) = -g**2 + g + 2. Let c be r(b). Let l be -1*(30\/c)\/(-3). Solve -a + l*s = -3*a + 21, 0 = -2*a - 3*s + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(3)*3)\/sqrt(12))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3 + 1. Solve -5*b = 2*f - k, -2*b + 2*f + 7 = 5*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 13406910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/10 - (-5 + -4). Let t be (-2)\/(-2) - (-20 + 18). Let j(s) = 0*s - 1 - s - 3*s + t*s. Calculate j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/2, -3.62, 0.0501 in decreasing order.\nAnswer: 25\/2, 0.0501, -3.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-464)\/(-180) - 0\/(-1). Let q = 14\/5 - v. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84143, -84072, -84001?\nAnswer: -83930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.251 - 15.2524939. What is h rounded to 5 decimal places?\nAnswer: -0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 6*h + 3. Does 22 divide g(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 24 + 39 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25.66 (b) -0.03 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42599.25 months in centuries?\nAnswer: 35.499375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 3*m**2 + 208*m - 5*m**3 + 4*m**3 - 213*m. Let q = -5 + 23. Let b be (-66)\/q + 2\/(-6). Give y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46\/3 + -16. Let j be (-39)\/15 + 30\/50. Let u be (-30)\/(-20)*j + (-11)\/(-3). Which is the nearest to -1? (a) -2 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.728 rounded to 0 dps?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 3*b - 0*b - 5*s, -1426*b = -1423*b + s - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -809184 divided by -67432\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k - 1. Let w(u) = 3*u**3 + 22*u. What is -2*d(n) - w(n)?\nAnswer: -n**3 - 20*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 5*r - 5. Let y(q) = q + 0*q - 3*q - 2. Let g be 9 + (-11352)\/30 + (-4)\/(-10). Let w = g - -359. Give w*y(m) + 4*n(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120111010000 (base 3) in base 12?\nAnswer: 9926b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*z = -26743, -5*z = -3*a + 82854 - 2725. List the prime factors of a.\nAnswer: 2, 3, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 17*p = 8*p + 5*p. Let t(n) = -n**2 - n. Let f(d) = 2*d**2 + 4*d - 47. Let u(k) = -f(k) - 4*t(k). Does 17 divide u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/41 (b) -1.928 (c) 20 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1872) - (sqrt(1872) + 1 + sqrt(1872) + sqrt(1872) - sqrt(1872))) + -4)*5*-4)**2*-3.\nAnswer: -2257200 - 86400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 457452 and 684.\nAnswer: 8691588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 3*f - 3, 2*c = f + 6. Suppose -c*v + 15 = -2*v. Suppose -6 = -v*x + 4. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 217 - 15. Let u = -63 + s. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 3*z - 5*u, -207*z = -220*z + 4*u - 145 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 4*a + 38 = 13*y, -y = -4*a - 27. Solve -y*u + 28 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 67, -46 in ascending order.\nAnswer: -46, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (19 + -20 - 25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1664 - -1666. Solve -2*f + u = 12, -6*u + 28 = -4*f - b*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 1:08 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1416287198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 4*o - 29, 27 = o - 947*w + 954*w + 94 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 3*l**4\/8 - l**3\/2 - l**2. Let h be i(2). Suppose t + t = 2*s, h = 3*t. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/140 and 43\/79.\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 483 - 186 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*-3*sqrt(432) - (5*sqrt(336))\/(sqrt(63)*2).\nAnswer: -3250*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 3*f**2 - 30*f - 3. Let u be h(-4). Let b = 2 + -6. What is the nearest to -6 in b, u, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 168 + 261. Calculate the remainder when 1630\/6 - ((-4)\/4)\/3 is divided by s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270032.7mm in centimeters?\nAnswer: 27003.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (45 + -49)*(-2)\/(-8) - (-21)\/24. What is the third biggest value in -0.6, 1.4, o?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3 - 1169668*y**2 - 28073760*y - 168446016 = 0.\nAnswer: -12, 292441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4094 and -10.\nAnswer: -4104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71005170.\nAnswer: 2, 3, 5, 1471, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1)*2\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 6*5\/(-10). Suppose -4*u + 3*c = -49 - 14, u = -3*c + 12. Solve p = 2*i + i + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovateeottvello. Give prob of picking 1 v and 1 a.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 696 - -0.07461253\nAnswer: 696.07461253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(48) + sqrt(35) + sqrt(35))\/(-3*sqrt(7)*6).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, t: 2, i: 2}. What is prob of sequence iip?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -40.728?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 6*(-7)\/(-21). Let t = 23 - f. Solve 2*u - 5*d + 8 = -27, 4*u - d + t = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*w + 3747*c + 1142*w wrt w.\nAnswer: c + 1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q - 75 = 0. Calculate the remainder when q is divided by ((-288)\/60 + 6)*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (0 + -1)*7. Let h = -12 - a. Let d = 5 + h. Sort -2, d, 1 in descending order.\nAnswer: 1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 6. Let l be g(-2). Let v be ((-12)\/18)\/((-1)\/l). Suppose -3*q + 0*d - 4 = -d, 0 = 4*q - v*d + 8. Is -1\/103 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 2*r**2 + 2*r - 2. Let a(g) = g**3 - 10*g**2 + 9*g - 3. Let z be a(9). Calculate the remainder when 2 is divided by w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 939 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 1750.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 149*f - 95*f + 278*f + (-6 + 3 + 1)*(f - f + 2*f) + 9 + 5*f - 9.\nAnswer: 333*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44653412 and 52?\nAnswer: 580494356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Sort -5, r, -2\/3 in increasing order.\nAnswer: -5, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -6 - 16) + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14888 - 14885. Solve 6 + 6 = l - u*y, 20 = -5*l - 5*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94778392*j**3 + 9000375*j wrt j?\nAnswer: -568670352*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -24, 1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 179, 711, 1561, 2699, 4095, 5719, 7541, 9531?\n\"Answer: -5*p**3 + 189*p**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a + 6. Let b = -16 + 34. Let j be ((-27)\/b)\/(6\/32). Let o be j\/24 - 3\/(-9). Give l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:56 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1497 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: a4343 (base 12) to base 6\nAnswer: 4334123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, -4\/3, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*c**3\/7 + 21430*c**2\/7 - 332576*c + 970368.\nAnswer: -2*(c - 3)*(5*c - 1064)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:30 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, 20, 53, 104, 179?\n\"Answer: q**3 + 14*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1881 in -2, -4, -25, 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -917046*2\/(-2) - -25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*d - 2506, -t - 7*d = -2*d - 1268. Let n be (88\/24)\/(-2 + 977\/489). Let h = t + n. What is h rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1779)\/402)\/((-1)\/214). Let t = 947 - m. Let w = -71\/134 - t. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 896119 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 11*t + 4. Let h(y) = y**2 + 11*y + 4. Let n(w) = 2*h(w) - 3*u(w). What is the remainder when 93 is divided by n(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-6))\/5*(-15)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -121*y**4 + 2*y**2 - 224*y - 2. Let c(i) = 240*i**4 - 5*i**2 + 449*i + 5. Let o(u) = 2*c(u) + 5*q(u). Find the second derivative of o(g) wrt g.\nAnswer: -1500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y. Suppose s + s = y. Let c = 182806 - 182805.99. Sort s, -1\/6, c in decreasing order.\nAnswer: c, s, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 312*h. Let f(b) = -719*b**2 - 2474. What is o(f(n))?\nAnswer: -224328*n**2 - 771888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-78)\/4)\/((-12)\/16). Suppose 1935 = 35*j - d*j. Calculate the greatest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.7 + -25.7. Is 2 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -8, 0.06, 0.4, -14?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1 (b) 0.229 (c) -35\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 4*p**2 - 12*p + 23. What are the prime factors of y(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187543631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -261, -1 in ascending order.\nAnswer: -261, -22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 883*q**2 + q + q - 415*q**2 - 471*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52195 and 183755.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5\/11 + 24*m**4\/11 + 134*m**3\/11 - 76*m**2\/11 - 336*m\/11 + 256\/11 = 0.\nAnswer: -4, -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1314, -16954, -61260, -148566, -293206, -509514, -811824?\nAnswer: -1214470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(2)*-4)\/((sqrt(147) + sqrt(3))*6)*-2.\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.245\nAnswer: 0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9559*g**3 + 9557*g**3 - 19114*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.082876 + 14867927.082876. Let r = c - 14867887.999986. Let s = -13 + r. Round s to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273464 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -837.4 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31.86 - -31.66. Which is the biggest value? (a) 25 (b) r (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -227, -333, -421, -485?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {a: 4, m: 2, n: 3, t: 1, o: 2, g: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/28)\/((-2)\/7). Suppose x*z - 752 = -2*z. Suppose -v + z = q - 0*v, -1 = -v. What is the greatest common divisor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + -11. Let i = n + 119\/4. Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 38. Let p be t(11). What is the closest to 3 in 2\/5, p, -4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(66)*-5 + sqrt(66)))\/(sqrt(7776)*-2 - sqrt(54)).\nAnswer: 8*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 5)*(-2)\/(-2). Suppose 10 = -38*y + 36*y. Let j = p + y. What is the smallest value in 0.3, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*l - 20*l + 169*l - 77*l in the form n + f*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, f: 12}. What is prob of sequence ffpf?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 3*n + 2*n + (1 - 4 + 1 - 2 + 3 + 0 + 4 - 2 + 0 + (6 - 1 - 3)*(-2 - 1 + 2) + 2 - 1 + 1)*(16*n - 26*n - 44*n).\nAnswer: -53*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 37. Let f = r + 18. Which is the nearest to f? (a) -2\/3 (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -32*t + 164. Let z be h(5). Suppose -b - 2 = 0, -z*r + 8*b = 6*b - 692. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w - 2*w - 4*w**2 + 801*w**4 - 799*w**4 + 12*w**6 wrt w.\nAnswer: 1440*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 11:17 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*1 - sqrt(22))\/sqrt(2).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 0.06616?\nAnswer: -0.36616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3436 and -3?\nAnswer: -10308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*n = -1175 - 2896 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1760 and 352?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**3\/3 - 2*b**2 - b - 14. Let z be g(-4). Put z, -4, 1, 2 in decreasing order.\nAnswer: 2, 1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 380.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/61182417 or 1?\nAnswer: 2\/61182417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2 + 16*v - 4. Let s be j(7). Let q = s - -2604\/19. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -9\nAnswer: -31\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 144*o + 25546 - 25402 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 5*p**2 + 8*p + 8. Let f(o) = 6*o**2 + 3*o + 3. Let c be f(-2). Suppose 5 = -m + 4*v - 13, v + c = -4*m. Give y(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -10) + (-10 - 0) + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -3*c. Let k(t) = t**2 + 3*t + 1. Let m(x) = 3*x**2 - 8*x - 3. Let n(p) = 2*k(p) + m(p). What is n(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b + 27*b - 45*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (19377 - (-4 + -4)) + 231\/(-33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*v = 2*y - 144, v - 2*y = -24. Does 20 divide v\/75 - 234\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) -2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpy when three letters picked without replacement from zzyyyyyzpzyzzz?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 - -284. List the prime factors of p.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/(-20))\/3*140. Suppose -10*v - y = -475. Let t(z) = z**2 + 8*z. Calculate the remainder when v is divided by t(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - l + l)*(-5*l - 2 + 2)*(-3*l**2 - 3*l + 3*l) to i*l**3 + a*l**4 + s*l**2 + o*l + r and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200880 by -40.\nAnswer: -5022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6624450 and 1200.\nAnswer: 52995600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408806*p + 817625*p - 408825*p - 1.\nAnswer: -6*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 5 (c) 2\/67 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1292382 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 76 + 43*k**2 + k**2 + 5*k**2 - 4*k**2 + (-2*k + 4*k - 3*k)*(-k + 2*k - 3*k) - k**2 - k + k + 3*k**2 - k**2 + 0*k**2 as l*k + y*k**2 + x and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdedddpdndpddedee. Give prob of picking 1 d, 1 n, and 2 e.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = 4841 - 12230. Suppose i + 2*i - 2463 = -4*c, i - 2*c = s. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 28, -3, 3, 1 in decreasing order.\nAnswer: 28, 11, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, e: 3}. Give prob of picking 1 e and 3 j.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/13691 and 48\/25.\nAnswer: 342275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 287 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30014 + -2541011?\nAnswer: -2510553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/9)\/1)\/((-47)\/(-2397))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -115*j**4\/12 + j**3\/6 + 10*j**2. Is w(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -5)\/((-2)\/4). Suppose 0 = -u*y + 798628 + 44410. Suppose -5*z - y = -5*o + 78466, 2*z + 299994 = 3*o. What is o rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 25. Let j = 107.81 + -140.8. Let d = y - j. Round d to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2544)\/(-212) - (-23925 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 0*s**3 + 47678571*s - 47678571*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 a when four letters picked without replacement from {j: 3, r: 7, a: 1, g: 4, z: 3}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*z - z + 152, -4*z + 16 = 0. Calculate the remainder when 62 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -8) + (44 - 37) + 3 + -22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2)*2)\/sqrt(11).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 222, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0*o**3 + 5\/12*o**4 - 5*o + 0*o**2 + 0. Let u(b) = 2*b**2. Calculate u(j(h)).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -d - 2926 + 10809, 5*v = 3*d - 23581. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 616?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12192316 - 250*l - 12192316.\nAnswer: -250*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -322*d**2 - 4*d - 10. Let g(x) = 161*x**2 + 2*x + 4. Give 5*g(t) + 2*k(t).\nAnswer: 161*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97860 and 5985420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28583630 divided by -1214.\nAnswer: 23545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 6*x - 259. Let p(m) = -m + 10. Let n be p(6). What is the remainder when k(14) is divided by 8\/(-4)*-1*n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 62105.\nAnswer: 24\/62105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -15 - 7) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7599 = -27923. Let t = 3738 - p. What is t rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3584691?\nAnswer: 3, 11, 36209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 71694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 86.36871g?\nAnswer: 86368.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17.95+-290.5\nAnswer: -272.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -1 + 8 + -4. Differentiate a*j**3 - 62 - 68 - 2307*j**4 + 2264*j**4 with respect to j.\nAnswer: -172*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 15*c**2 - 12*c - 5. Let w = 35 - 29. List the prime factors of k(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v = 2*l + 39, 20 = -5*l - 3*v. Let k = l + 5. What is the second biggest value in k, -3, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124\/(-12)*9\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 41*m**9\/252 + m**7\/210 + 2*m**5\/15 + m**4\/8 + 2*m**2 - 25*m. Find the third derivative of f(q) wrt q.\nAnswer: 9840*q**3 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 x when four letters picked without replacement from {z: 4, x: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 - 4)) + (0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/162*(-6)\/10*-5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*u - 14, 31725*p - 13 = 31726*p - u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + 4. Let s = -7 - -4. Is h(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 - -223 - (5 + 45).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 2*o - 2*o + 1 - o - 1 + (0 + 1 + 2)*(-3*o + 0*o + 2*o) + 5*o - 4*o - 4*o + 5*o + 3 - 3*o - o - 55*o - 52 + 52.\nAnswer: -62*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/2 + p**2 = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -4*w, 0 = -5*r + w + 25 - 5. Suppose -5*q = r*n, -3*q + 4*q - 2*n = -15. Which is the nearest to -0.4? (a) q (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 3*k**2 - 7*k + 4. Let p be n(5). Let y(a) = -a**3 + 8*a**2 - 2*a + 22. Let v be y(7). What is the greatest common divisor of p and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 26*f + 236. Let n be v(-33). Suppose n*p = -5 + 165. Solve 8*w = -0*w - p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590140051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-350)\/12)\/35)\/(168\/12096)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, z: 4, j: 2}. Give prob of picking 1 j and 1 z.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3203, -5268, -7323, -9362, -11379, -13368?\nAnswer: -15323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d - 555 + 292 + 273 - 3*d**2 in the form l + g*d + v*d**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4722*k**3 - 28*k - 149238 wrt k?\nAnswer: 14166*k**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/36)\/((-4)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 0 - 3*p**2 - 1\/24*p**4 + 0*p + 1\/6*p**3. Let o be (-208)\/(-56) - (-2)\/7. Calculate w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -261*o + 5. Let l(i) be the first derivative of i**4\/4 - 2*i**2 + 5*i - 15. Let h be l(2). Let p be n(h). Round p to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6)\/(2\/20). Let l = 262990 - 262993. Which is the closest to p? (a) l (b) 2 (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1233\/15 + -24*(-6)\/180. Solve -17*a = -m + 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -336.35 + 369. Let o = 50 - 82. Let x = j + o. What is x rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 - -9) - (-3 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**3 + 2. Let a(v) = -9*v**3 - 3. Give 3*a(y) + 4*o(y).\nAnswer: 5*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46, -230, -414?\n\"Answer: -184*j + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 24*f + 55. What is j(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 15*c**2 - 14*c - 10. Calculate the remainder when l(10) is divided by ((-3)\/(42\/(-88)))\/((-7)\/(-49)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516 + 1031 - 4*n**2 - 9*n**2 - 515.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 4 + 5 - 1.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-246)\/1066*(-429)\/1683.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {v: 4, n: 1, a: 3, g: 2, q: 1, b: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = -5*q. Suppose -4*t + 2*r = 6*r, -2*r - 18 = -q*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 3*y, 0*y = q + 4*y - 5. Suppose -5*g + 3 = 5*i - 7, -2 = -3*g - q*i. Is g\/18 - 352\/(-36) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -753564 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1599 by 533.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + 128. Solve 6 = -w*l - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2409, 3, 2, 1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 6*v - 3. Let r be x(-5). Let p(h) = -6*h + 3. Let l be p(r). Round l to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3) + 4 + -5)**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/14 and (1\/(-10))\/(-3 + 2191\/749).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-28) + 114\/(-8). What is the common denominator of -3 - ((-728)\/y)\/(-8) and 96\/(-77)*(9\/(-6) - 2)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5 - 542*d**4 - 4692*d**3 + 6608*d**2 + 83840*d = 0?\nAnswer: -262, -8, -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -347.7?\nAnswer: 4520.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**13\/((h\/(h*h*h**(2\/21)*h*h))\/h) assuming h is positive.\nAnswer: h**(359\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.454225759 to 2 decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -1a?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/4 - 35*v**3\/2 + 909*v**2\/4 + 2808*v + 4563 = 0.\nAnswer: -6, -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 5:26 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73150457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -13*i + 2. Let t(c) be the third derivative of -13*c**4\/24 + 185*c**2. Give d(t(f)).\nAnswer: 169*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1571*y**2 - 574*y - 5. What is j(-1)?\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 3. Let b be p(-3). Let g(i) = i + 1. Let a(n) = 3*n - 4. Let c(w) = -w + 2. Let k(l) = -2*a(l) - 5*c(l). Give b*g(m) + 3*k(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/12 - 167*a. Let j(c) = -200*c. What is j(z(s))?\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 7, m: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 1, r: 1, y: 2, b: 1, w: 1}. What is prob of sequence ydwr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 313*g - 314*g + 110. Calculate the smallest common multiple of g and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = 4. Suppose 0 = 5*s - 16 - 19. Suppose 5*m + n - 18 = 0, 30 = 4*m + m + 5*n. Solve m*g + s - 1 = a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 404477 and 2204645?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -62 - 40. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 489023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-18))\/(2\/(-6)). Find the common denominator of 0 + 48\/(-21) + n and -52\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2182*y**2. Let f(q) = 4272*q + 4276*q - 8545*q. What is f(t(i))?\nAnswer: 6546*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 496799518.\nAnswer: 496799517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**0)**(4\/5)*g\/((g**(1\/13)*g)\/g)*g**1 assuming g is positive.\nAnswer: g**(177\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-22)*i)**(-9\/11))**(-8\/15))**37 assuming i is positive.\nAnswer: i**(-3552\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(1377) + sqrt(1377) + 1 + sqrt(1377) + 1 + (sqrt(1377)*1 - sqrt(1377))*1 + sqrt(1377) + (-2*sqrt(1377) + -5 - sqrt(1377)))**2.\nAnswer: -432*sqrt(17) + 4323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39\/11 (b) 27 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-6))\/(k*k**4*k*k*k))**21 assuming k is positive.\nAnswer: k**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t - 2*t - 11 + 13*t. Let k be w(5). Factor 7 - 24*q - 15 - k*q - 22*q**2 - 5*q**3.\nAnswer: -(q + 2)**2*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 41 - 41 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.000024 + -40. What is n rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**5\/60 + d**4\/3 + 5*d**3\/6 - 5*d**2 + 5. Give z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 11*s**2 + 11 - 24 + 11.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u + 7*u + 13*u)*(-1 + 1 + 2)*(11 + 19 - 4)*(-2 + 2 - 2).\nAnswer: -2808*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)\/(1\/137). Let p = n + -67. Calculate the greatest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -10*i + 33. Let v be (i\/9)\/((-4)\/90). Solve 2*y = -v + 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -13400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13106402*p + 13106402*p - 9266*p**2.\nAnswer: -9266*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7876494\/133 at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) 4 (b) 60 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(1\/3))**(2\/3))**(15\/8))**(4\/11) assuming p is positive.\nAnswer: p**(10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 5. Calculate l(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/4)\/t*t*t**(-1\/4)*t**(1\/2)\/t**7 assuming t is positive.\nAnswer: t**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5892 - 5588. Calculate the greatest common factor of 1024 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*l + 2*l, 0 = 3*y. Solve 5*f + 15 + l = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = z + 2*s - 487, 1451 = 3*z + 2*s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*g + 134 - 17, 16 = -4*g. Let n = 8 + u. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 4*l**2 - 2*l**2)*(-3 + 3 + l) - 4*l**2 - 6*l**3 + 4*l**2.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 8. Suppose -f + 0*w + 185 = j*w, -f = -3*w - 185. Let s = 28 - -9. What is the highest common divisor of f and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(55)\/(sqrt(22)\/sqrt(50)).\nAnswer: 4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 77213916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -141*q - 44?\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a5d - 5d?\nAnswer: 2a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 - 423 + 362 - 7*b**2 as q*b**2 + j*b + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 115 - 107. Let z(l) = 12*l**2 + 2*l - 2. Let d(h) = -49*h**2 - 9*h + 9. Give p*d(n) - 9*z(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2670978 and 83\/12?\nAnswer: 5341956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*2\/60)\/(3\/(-12))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (156\/96)\/(1\/(-6))*-4 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167288, 167298, 167320, 167342, 167352?\nAnswer: 167338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*g + 676, 0*f = -2*f + 5*g + 1365. Let w = 1049 - f. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 5*h**2 - h**2 + 4*h**2 - 212*h**3 - 6*h.\nAnswer: -212*h**3 - 2*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 273.2 + -273. What is the fourth smallest value in k, -5, -6\/7, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 972746929.08 and -0.2.\nAnswer: 972746928.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 + -2. Let f = 3.9 - j. Let x = 0.33 - 0.03. What is the closest to f in -4, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/4 + 1 - (-1458)\/1944. Which is the closest to 0.02? (a) j (b) -2 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*h + 40, 3*v = -4*h + 36 - 4. Suppose 50 + v = 2*l. Calculate the lowest common multiple of l and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 4. Let t(m) = 5*m - 10566. Give t(c) + 3*u(c).\nAnswer: 2*c - 10554","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-4\/19))\/m))\/(((((m*m**(-4\/5))\/m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(476\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by 4.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 + 3. Sort w, 2\/9, -3\/5, -1\/2.\nAnswer: -3\/5, -1\/2, w, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5679761761 minus 0.2?\nAnswer: -5679761761.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 235.3 * -2\nAnswer: -470.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*sqrt(66)\/sqrt(54).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 7) in base 11?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, c: 1, t: 1, v: 3, x: 6, k: 6}. Give prob of picking 3 k and 1 x.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/19)\/q)\/q**15*q**15\/q**(-1) assuming q is positive.\nAnswer: q**(-1\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2841.3 + 0.06991715\nAnswer: -2841.23008285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7381 and 17077621?\nAnswer: 187853831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:15 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 9. Let n(t) = t**2 - 10*t + 14. List the prime factors of n(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 594492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, 8, 34, 80, 152?\n\"Answer: k**3 + k**2 + 2*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.727935 rounded to two decimal places?\nAnswer: -49.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1191?\nAnswer: 238.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -20*w - 1572. Give n(-75).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3084 - -3084.4. Is f < 121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -29*r**2 - 5451*r + 213. Calculate a(-188).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) -10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011212221110 + 121?\nAnswer: 11011212222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.8. Let n = 0.7994 - t. What is n rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15470 minus -22?\nAnswer: 15492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/708 and 15\/104.\nAnswer: 18408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211012431 + -4?\nAnswer: 211012423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2 - 5*m**2 + 2 + 5*m**2 + 6*m**2. Calculate h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*l + 5*s, 0 = -l - 3*s - 9 + 31. What is the units digit of 2\/l + 156\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/3422?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let q(g) = 39220*g**2 - 98. What is x(q(h))?\nAnswer: -39220*h**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 29*q + 146. Let w be k(30). Suppose -w + 180 = d. Calculate the remainder when 189 is divided by d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(sqrt(700) - ((sqrt(700) + sqrt(700) + sqrt(700) + 1)*4)**2).\nAnswer: -403264 - 3800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(3\/11)*x)**(-45)\/(x**(-2\/9)\/(x*x**(2\/25))))**49 assuming x is positive.\nAnswer: x**(-12245198\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 7 = 1, 5*i + 5 = -46*g + 41*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*x + 15*x + 32*x)*((4 - 4 - 2)*(6*x - x - 3*x) + 2*x - 3*x + 4*x).\nAnswer: -183*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 3*z**2 + 5*z + 5. Let c be v(-2). Suppose -5*a = c, -3*a - 4 + 130 = x. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6\/31 (b) 0 (c) 1 (d) 29 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*g - 1033 = -193 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 43 - z + 33 + 30 - 119. Give i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9708)\/72810)\/(8\/90).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 19*z**2 + 4*z + 1. Let g(r) = 6*r**2 + r. Calculate -7*g(u) + 2*v(u).\nAnswer: -4*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16883653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*g - 442*g - 50 + 175 = 0 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -21, -32, -43, -54?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -290*v**2 + 1. Let x be i(-1). Let k be ((-924)\/(-2))\/(-11 - (-7 + -5)). Let g = k + x. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.46, 2\/3, -2, 1\/98, 41, 3 in ascending order.\nAnswer: -2, 1\/98, 0.46, 2\/3, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86*z**3 + 32*z**3 - 8*z**3)*(-5 + 4 - 1)*((-1 + 4 - 2)*(-2*z + 7*z - 2*z) - 5*z + 2*z + 2*z + 4*z - 2*z + 0*z).\nAnswer: 496*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 26 = -4*i. What is the tens digit of (-7)\/2*304\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 + 6*d - 4*d**2 - 20 + 6*d**2. Let g be w(4). Let j = 2246\/11 - 204. Is j > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x**2 + 2*x. Let r(w) = 2*w**3 + 2*w**2 + 5*w. Let s(u) = 9*b(u) - 4*r(u). Factor s(p).\nAnswer: p*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 1343547?\nAnswer: -134354a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 1. Suppose 0 = -5*v - 10, -5*v - 10 = 5*q - 3*q. Suppose -2*h + h = -1, 2*g - 3*h - 9 = q. Is x(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -693, -1404, -2115, -2826, -3537?\nAnswer: -4248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 48 = 4*f, -39 = -f - 4*x - 27. Let s = f + 529. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:12 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84056.16ng to grams.\nAnswer: 0.00008405616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2023 - -2722. List the prime factors of v.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(-10 + (-2)\/6 + 280\/30) + -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4217801, -4217745, -4217653, -4217525?\n\"Answer: 18*a**2 + 2*a - 4217821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kktiwgz. Give prob of sequence tw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2582127 and 42069?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.01, -1\/2, -9, 2.7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6081122*o**3*u**2 - 86*o**3*u - 3*o**2*u**3 - 25105*o*u wrt u?\nAnswer: 12162244*o**3 - 18*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000312 rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -0.13 (b) 17 (c) 0 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 1) + (0 - 13). Let m(a) = -a**3 - a**2 + 2*a + 3. Let c be m(g). Suppose -3*i = d - 38 - 117, -3*d - 3*i + c = 0. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/24 + 87\/18. Suppose 2*b + 11*b - 39 = 0. Suppose -n*p - 4*k + 208 = 0, 2*p + 12 - 86 = b*k. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2047814 is divided by 150?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - b. Let g(p) = 5*p**2 + 16*p + 9. Let j(w) = 6*a(w) + g(w). Let i be j(11). Let x = -1 - i. Solve x + 14 = -3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/6, -3\/8, 115, -5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = a - 1, -3*a = -2*v - 3. Let n be (8\/6)\/(-2) + 1. Sort v, n, 0.4 in descending order.\nAnswer: 0.4, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 609487*s. Let b(u) = 3*u**2. Calculate b(f(w)).\nAnswer: 1114423209507*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 40. Calculate the greatest common divisor of 99 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 48 + 0 = 0. Let s = -21 - c. Suppose 4*v - 75 = -5*i, -1 = 2*i + s*v - 38. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408 and 18?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 2*b + 60. Let m = b + -10. Suppose 3*v = 1 + 5. Calculate the lowest common multiple of v and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 106*m - 30 = 105*m, 4*m = -5*y + 45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*j - 15, 2*k = -j - j - 6. Suppose x - 166 - 21 = j. What is the highest common factor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**8\/80640 - i**7\/2880 - 11*i**6\/720 + 199*i**5\/60 - 228*i**2 + 2*i. Let g(h) be the third derivative of j(h). Factor g(n).\nAnswer: (n - 11)*(n + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (37 + -98 - -22).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n - 1. Let q = -88 - -58. Let x be (4\/10)\/((-6)\/q)*1. Let g(z) be the third derivative of -z**4\/8 + z**2. Determine x*j(u) - 7*g(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m - 283 - 174 = -366 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2 - 7474*m + 7475 = 0.\nAnswer: -7475, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 1.6. Let x(w) = w + 1. Let c be x(1). Let a be (-1)\/c*(6 - 1). What is the third smallest value in p, a, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 20 = -5*o - 0*o, -3*o - 3*z - 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shdxhhi. Give prob of picking 1 x and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1168, 1903, 2638, 3373, 4108?\n\"Answer: 735*t + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354 a factor of 5435881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**3*r - 5114*b**3 - 6*b**2*r - 4*b**2 + 22576*b*r + 6*b - 2*r - 5 wrt b?\nAnswer: -66*b*r - 30684*b - 12*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000235325 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-12) + 1)\/(7 - (12 + -2)). Let j(o) be the first derivative of 0*o + 22 - 2\/15*o**5 - q*o**6 + 4\/9*o**3 + 1\/4*o**4 - 2\/3*o**2. Factor j(i).\nAnswer: -i*(i - 1)**2*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(288) - (sqrt(56)\/sqrt(7))\/sqrt(4).\nAnswer: -61*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u - 4 = 0. Suppose -u*v - 33 = -3*v. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1078636 times -1\nAnswer: 1078636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (12 - (4 + 7))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 4*x + 2*x)*((-4*x + x + 2*x)*(2*x - 3 + 3) - 2*x**2 - 2*x**2 + 3*x**2).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*x = 4033 + 14062 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/((-3)\/(-18)). Let r = i + 1. What is the third derivative of y**r - 3*y**3 + y**2 + 0*y**2 wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/4 of a kilometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 843 and 133673.\nAnswer: 112686339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/153*6 + 3409007\/87941.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - d - d)*(-249 + 13*d + 249).\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -276 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28 and -71798.\nAnswer: -20103.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 472 - 136. Suppose 7*o - 42 = f. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3261, -6526, -9793, -13062?\n\"Answer: -x**2 - 3262*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 1. Let c be b(-1). Let r = 218\/3 + -6328\/87. Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5\/4 (b) -3 (c) -2\/13 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = -11. Let d = -16.5 + 17. What is the closest to 0.1 in d, v, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.7. What is the nearest to 0.1 in 3, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 + 4 - -2) + -16 + 5 - 31) + -8?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 + 12*o**2 - 38. Let j(p) = 11*p**3 - 25*p**2 + 82. Let x(i) = 6*j(i) + 13*r(i). Give x(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**3 + 50*j. Let w(x) = -10*x**3 + 53*x. Determine -3*i(g) + 2*w(g).\nAnswer: 4*g**3 - 44*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -49, -64, -73?\n\"Answer: 3*d**2 - 30*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2056.095 meters in millimeters?\nAnswer: 2056095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 12:33 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.3. Let d = -1.05 - 11.95. Is n equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1076\/11 - -98. Let s be ((-2)\/(-10))\/((-2)\/6). What is the biggest value in -4, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 27*j + 45. Let w be z(10). Let f be (-192)\/w - (-4 + 10\/3). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 26 (c) -1\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1061.345 and -0.05.\nAnswer: 1061.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -1. Suppose 5*l - 4*l - h = 0. What is the remainder when l is divided by 2 + 0\/(0 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9986 + -9662. Suppose -g - g + 646 = 0. Is t bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42500\/357 + 4\/14. Let o = d - 121. Sort -2, o, 3\/4, -0.2.\nAnswer: -2, o, -0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5}. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -3*r**7\/14 + r**3\/6 - 4*r**2 + 62*r + 2. Find the second derivative of k(z) wrt z.\nAnswer: -180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let k(n) = 130*n + 2 - 2 - 129*n. What is k(l(r))?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 112572514 and 0.9508?\nAnswer: 112572513.0492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 15*s + 16. Solve 4 = -2*m - s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(3 - 3 + 2*z) + (144 + 142 - 220)*(3*z - 4 + 4)*(-3 + 6 + 3 + (2 - 1 + 1)*(0 + 3 + 0)) in the form f + d*z and give d.\nAnswer: 2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 413100, 826202, 1239304, 1652406?\nAnswer: 2065508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/975022 and -79\/13650308.\nAnswer: 13650308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4984531 rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14)*35*4\/10. Which is the closest to x? (a) 2\/11 (b) 4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -4*b + 26, -112*d + 108*d + 4*b = 56 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -9*i + 2*d + 98, -5*i = 3*d - 103. Suppose -21*p = -31*p + i. Solve -p*o = -2*h, -2*o = -0*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 + 5*u - 3 - u + 0 - u**3. Suppose 6 = -3*l + 24. What is the remainder when d(5) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 1 - (30 + -50230031). What is k rounded to the nearest one million?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3770*l - 1886*l + 27*l**2 - 1880*l)*(-2 + 2 - l + (-2*l - 2*l + 3*l)*(-1 + 4 - 1) + 2*l - 2*l - 2*l).\nAnswer: -135*l**3 - 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*10*4\/60.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**6\/30 - o**5\/5 + 83*o**4\/12 + 20*o. What is the third derivative of z(t) wrt t?\nAnswer: 24*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + 1)*-2 + sqrt(325))**2.\nAnswer: 20*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7964*j - 18747 wrt j?\nAnswer: 7964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k + 4*r - 9*r, -23 = -4*k - 3*r. Suppose -24 = -k*y + 11. Suppose -2*z - 10 = -y*z. Solve -5*m + 9 = -4*g, -4*m + z + 4 = -2*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 740*r**2 - 237*r**3 - 204*r**3 - 740*r**2.\nAnswer: -441*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 + (-108 - -315 - 96)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334080 is divided by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/i**(1\/3))\/(i**(-6)\/(i*i**(-1\/11)*i*i)) assuming i is positive.\nAnswer: i**(448\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/19 (b) -63 (c) -1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2*w + 7, 12*i - w + 9 = 14*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -2\/33, -2\/7, -0.3 in ascending order.\nAnswer: -0.3, -2\/7, -2\/33, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 + 4. Suppose -3*u = 3*u - 42. Let q(f) = -11*f**2 + 9. Calculate u*x(p) - 3*q(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119050*i**3*m - i**3*s**3 + 7*i**3 + i**2*m*s**2 + 3*i*m*s + 3665*i*m + 6*m*s**3 - 3*s**2 wrt i.\nAnswer: -714300*m - 6*s**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2295143 micrograms to milligrams.\nAnswer: 0.0002295143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 50*a**2 - 234*a + 340. Calculate b(-7).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huzz when four letters picked without replacement from hbxuyyzyyhyzub?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 149 (b) 2\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:44 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -93. Let t = m - -86. Suppose 2*x = -3*j - 24, 3*j + x = 3*x - t. Which is bigger: j or -11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 - 381. Let y(m) = 9816*m. What is a(y(q))?\nAnswer: 289061568*q**2 - 381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1 + -2)\/(-3) - 1) + -2. Let b(z) be the first derivative of -5*z**2\/2 - 7*z - 3. Let a be b(m). What is the greatest common factor of 9 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 5. Determine c(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 14*z + 4. Let l be c(-9). Let j be (-7945)\/l - (-1)\/7. Let d = 1132\/7 + j. What is the third biggest value in -0.2, d, 2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -3\/5*f**5 - 9*f**2 + 0*f + 0*f**4 - 176 - 2\/3*f**3. What is the second derivative of i(y) wrt y?\nAnswer: -36*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 493 + 1158. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f28af (base 16) in base 15?\nAnswer: 149555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -21*b**2 + 114*b. Let p(i) = 61*i**2 - 345*i. What is -6*p(m) - 17*t(m)?\nAnswer: -9*m**2 + 132*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 plus -196.85535?\nAnswer: -49.85535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 - -401120?\nAnswer: 401213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1\/6 (b) 2 (c) 1 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006 + 1142 + 1565 = 81*t for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2. Let n(x) = -90*x**2 + 12. Let l(w) = 181*w**2 - 28. Let u(s) = -3*l(s) - 7*n(s). Calculate u(d(k)).\nAnswer: 2175*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1586, -3197, -7980, -12763?\n\"Answer: -4783*x + 6369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93653 or 93643?\nAnswer: 93653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7165\/3 - 100511\/42. Find the common denominator of n and 0 + 34\/16 + -1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18607500 rounded to the nearest 100000?\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -1 (c) 46 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*q + 4365 = 986*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -893 and 0.07.\nAnswer: -62.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*p = -448, 2*z + p + 535 + 352 = 0. Does 20 divide (-2)\/(-17) - 10998\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 1. Let r be o(2). Let i = 380 - 2654\/7. Find the common denominator of i and 3 + -2 + 56\/r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74800 and 1275?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 9. Suppose 5 = 4*q + 1. Let m = q - -3. What is the units digit of g(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0183528172 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5713903*d**2 - 2*d + 1915832.\nAnswer: -11427806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7)*203*3\/(-3). Let d = q + -56. Suppose 2*g + 5*a = 2929, -185 - 1282 = -g - d*a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-40)*-5*3\/6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7214.0603*-5.\nAnswer: -36070.3015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 556\/(-2) + -24 + 14. Which is smaller: -284 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 80*a**2. Does 45 divide i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1109, 1113, 1117, 1121, 1125, 1129?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-117) + 22\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 125 - -65?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 53 (b) -28\/3 (c) 0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 10*r - 9. Let a be w(-9). Solve 0*s - 3*s + 12 = a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 432, -6, 3, 398 in increasing order.\nAnswer: -6, -5, -4, 3, 398, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - i = -2*y + 3, -4*y - i + 21 = 0. Let r = y - -1. Suppose 2*o - r*o + 21 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50976*h**2 - 50*h**3 - 23*h**3 + h - 50976*h**2 - h.\nAnswer: -73*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -30*x**4 + 8*x**3 + 35*x**2 + 8*x. Let w(b) = -10*b**4 + 3*b**3 + 12*b**2 + 3*b. Let k(v) = 3*q(v) - 8*w(v). Find the third derivative of k(n) wrt n.\nAnswer: -240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -3*f**4\/8 + f**2. Suppose z = 7*z - 30. Let u(p) be the second derivative of -7*p**3\/3 + p. What is z*u(r) - 8*t(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00144724 to 5 dps.\nAnswer: -0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 j when three letters picked without replacement from {e: 2, j: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 14 = -2*m, 4*m - 16 = i - 0. Suppose -4*y = i*q - 0*q - 216, 0 = -3*q + 4*y + 127. Let c = q - 32. What is the highest common factor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2483, -2382, -2243, -2072, -1875, -1658, -1427?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**6\/60 - 3*g**5\/50 - g**4\/20 + 36. Solve b(o) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.56*11.5.\nAnswer: 63.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) -0.031 (c) 1\/552 (d) 0.2 (e) -12 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17141 - 17139. Solve -2*w = -3*h + 55 - 71, b = 3*w + h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21814*c**3 - 337*c - 28253*c**3 + 679*c - 342*c.\nAnswer: -50067*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448523 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15 - 20)\/(1\/3). Let w = b - -17. Solve -w*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - w - 15944, 5*q - 6*w - 19929 = -5*w. Suppose 10*z - 1265 - q = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbx when three letters picked without replacement from zzgxxxbxgggbxxxxxgg.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:14 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367 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: Which is the nearest to 0? (a) 1\/3 (b) -1\/24 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 2*j**2 - 9*j - 17. List the prime factors of v(-5).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v - 5. Suppose -2*s - 3*i - 31 = 0, -2*s + 25*i + 9 = 20*i. Let c(o) = -17*o + 14. What is s*f(u) - 3*c(u)?\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -4 (c) 46\/9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 3350?\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3664.081 centuries?\nAnswer: 36640.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -2 + 37 + -12 + 0 - -88?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 2241?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326159059 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1056 and -43\/6864?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 7221264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -4397.\nAnswer: 7\/4397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(80) - (2*sqrt(25))\/sqrt(5) - (sqrt(25)\/(sqrt(540)\/sqrt(3)))**2.\nAnswer: -77\/36 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {t: 7, p: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -53 (c) 26 (d) 0.5 (e) -0.5 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 550 - 520. Let p be 331 - (24\/n)\/((-6)\/(-45)). What is the highest common divisor of p and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 12:22 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/((s*s**(-3\/13))\/s*s)*s\/(s\/(s*s**(-3\/5))) assuming s is positive.\nAnswer: s**(106\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*g = 6, -g - 5 = 5*l - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 + i**2 + 47*i**2 - 2*i + 19*i**2.\nAnswer: 52*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186 - 101 + 451)*(7*f - 5*f + 5*f)*(-3 + 1 + 1) - f + 0*f + 3*f.\nAnswer: -1146*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**3 + x**2 - 4*x + 14. What is y(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 9*v = -39. Let h = 10 + -4. Let s(w) = -4*w**2. Let y(p) = 11*p**2 + 0*p**2 - 2*p**2. Give h*y(i) + v*s(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12340014 (base 6) to base 8.\nAnswer: -1420552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247350418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.338 - -0.338. Let m = 24.6631 + -0.0331. Let s = m + w. What is s rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527399 rounded to the nearest 1000?\nAnswer: 527000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgr. Give prob of picking 1 r and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**2)\/n*n*n\/((n*n*n\/(n\/n**(-16))*n)\/n) assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21\/6*-46*-17*(-1)\/(-119)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -7) + 2 + (-3 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.2, 4, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7126*x**5 + 10*x**3 + 48*x**2 - 7*x + 65432 wrt x?\nAnswer: 142520*x**3 + 60*x + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*u + 16 - 73 - 192.\nAnswer: -561*u - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*q**3 - 242*g**3*q**2 + g**3*q + g**3 - 60*g wrt q.\nAnswer: -6*g**3*q - 484*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13898 - -0.3?\nAnswer: -13897.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 293718 - 293718.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 11*j**4\/24 - 5*j**3\/6 + 7*j**2. Differentiate p(k) wrt k.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(210\/9))\/(10\/(-70)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**3 - 9306360*c**2 - 18612704*c = 0.\nAnswer: -2326588, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 - 28*c**2 - 7*c + 15. Give a(11).\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*a + 118*a + 112*a + 3630 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + 10)*1154\/(-8). Let l = -2608\/9 - u. Let g = -1423451\/130590 + 2\/13059. What is the common denominator of g and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -153484*d - 153534. Calculate h(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10603 + 10604. What is the fourth smallest value in w, 3, 227, 1\/8, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 19*n - 2016. What are the prime factors of ((-69440)\/n)\/((-8)\/6 + 1)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i. Let k(c) = -59*c + 56. Give s(k(v)).\nAnswer: 354*v - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21899117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = x + a, 4*x - 4*a + 0*a = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 9 + 11 - 25*j**3 - 2*j**2 + 17 + 20*j**3 as u + l*j + o*j**3 + g*j**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 2*c - 1. Let n be (-5 + (-36)\/(-7))*(-1 + 1). What is h(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105 by -35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 32*g - 3 + 3. Let k(x) be the third derivative of -x**5\/20 - 6*x**2 - 2*x + 6. What is k(u(i))?\nAnswer: -3072*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.51147 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32743 * 1056\nAnswer: -34576608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) + (-22)\/(-6). Let r be 1\/(1\/y) - -2. Suppose 21 = 4*o + r. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7327, 7330, 7335, 7342, 7351, 7362?\nAnswer: 7375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a factor of 28875474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 p when three letters picked without replacement from ppppppfppppppppppffp?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*b**2*l**5 - 6584*b**2*l**3 + 2*b**2 + 26186*l**2 wrt l.\nAnswer: -1200*b**2*l**2 - 39504*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwc when three letters picked without replacement from {c: 1, m: 2, w: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -3)*-3982*(-1995)\/(-30). Let w = -128169 - n. Let y = 73534 - w. What is y rounded to the nearest 1000?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6970327\/5 + 117877719\/85. Let b = -7271 - x. Which is greater: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 + 27*v - 107. Calculate u(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + 96 + 25 - (11 + 1 + 1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 5 - 8 = 0. Sort 4, 3, v, 0 in descending order.\nAnswer: 4, 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25229\/3025 - 1586929753\/54450. Let k = h + 29145. Find the common denominator of 65\/12 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2856988143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 3*b**2 - 11*b + 12. Let m be x(5). Let r(q) = 949*q**2 + 18*q - 1. Let w be r(m). Suppose 10*d + 10016 - w = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/10 + d**4\/12 - d**3\/2 - d**2\/2 + 10*d. Let y be -2 + 21\/15 + (-49)\/35. Give p(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (2 + 1)) + -1. Let c = 166377 - 2329351\/14. What is the common denominator of c and -2*v\/(-1704)*158?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 488 and 1586?\nAnswer: 6344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g**2 + 2*g + 4. Let u = -1501 - -1506. Let q(y) = -18*y**2 + 5*y + 9. Calculate u*a(n) - 2*q(n).\nAnswer: -9*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 2*p + 1. Suppose 2*v - 12*k + 14*k - 16 = 0, 0 = 2*v + 3*k - 21. Let f(b) = -b**2 + v*b - 73 + 0*b + 75. Calculate -3*f(l) + 5*z(l).\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 3. Suppose l + 0*l + 9 = -d, 4*l + 6 = 2*d. Let r(y) be the second derivative of y**3\/6 + 3*y**2\/2 - 2*y + 718. What is l*r(m) - 3*v(m)?\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 4*y**2 + 8*y - 5. Let k be a(5). Suppose -c = 3*b - 6 - k, -5*b - 4*c = -15. Let v be 2\/(-1) - b\/(-1). Sort -5, v, -1 in descending order.\nAnswer: v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i**2 - i + 2. Let m be u(1). Let x be 2\/5*(m - 4). Solve 16 = -5*a - x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 211494136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7527 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 471, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -160 + -658?\nAnswer: -7b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -595, -20, 1 in ascending order.\nAnswer: -595, -20, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -436*a - 612. Determine m(0).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 1 - 1)*(0 + 2*i**2 + 1 + 2*i + 1).\nAnswer: 4*i**3 + 4*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.455*2883.\nAnswer: 1311.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -81868 take away -0.5?\nAnswer: -81867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30618268*u**4 - 9854321*u**2?\nAnswer: -734838432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155061*b**3*w + 3*b**2*w - 5090*b**2 + w wrt b?\nAnswer: -930366*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 452756, 905513, 1358270, 1811027, 2263784, 2716541?\nAnswer: 3169298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 19*g - 2 = 0. Let w be (-16)\/(-40)*(-1 - g - 5). Find the common denominator of -43\/2 and (-5)\/w*1926\/270.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/31))**(-27) assuming r is positive.\nAnswer: r**(81\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -6) + (0 + -3 - 1). Let s be (-4)\/6 + (-22)\/(-6). Let q = 40 - 36. Solve -q*w - k = 4*k - s, -3*w - 5*k + b = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -81184344?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0*y**4 + 0 - 13\/20*y**5 - 4*y + 9\/2*y**2 + 13\/6*y**3. Let n(f) = -7*f**3 + 7*f + 5. Determine 11*n(r) - 6*x(r).\nAnswer: r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Suppose -4 = -d*z + z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239574, -479118, -718698, -958332, -1198038, -1437834, -1677738?\nAnswer: -1917768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844*q - 731*q + 2378*q - 808*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*m + 21 = 0, 5*d + 2*m + 2*m = -11. Let u(n) = -n - 9*n + d + n + 0. Let y(l) = -l**3 - 4*l**2 + 1. Let a be y(-4). Determine u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 419540.2 centuries?\nAnswer: 4195402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-52)\/10 - 2)*10. Let m = 119 + v. Suppose -q + 30 = 3*i - i, -2*q + m = 3*i. What is the remainder when 24 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*9\/(-54)*3\/2. Find j such that 3\/4*j**3 + 0 + 3\/2*j**u + 3\/4*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 + 425*o**3 - 215*o**2 - 18065*o + 17850 = 0. What is o?\nAnswer: -85, -7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-20)\/8)*-4. Let n be (z - -1)\/((-5)\/5). Let s be 1 + (n + -7)*1. Put 6, s, 1 in decreasing order.\nAnswer: 6, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1964, -7918, -17842, -31736, -49600, -71434, -97238?\n\"Answer: -1985*g**2 + g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.0497 (b) -13 (c) 4\/5 (d) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -l - l - m, 0 = 2*l + 3*m - 34. What is the remainder when 18 is divided by 1\/(l\/15 - 34\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(784)*4)\/sqrt(7) - (sqrt(49) - -6*sqrt(98)\/sqrt(2))\/(sqrt(84)\/sqrt(3) + sqrt(7))) + 4.\nAnswer: 4 + 137*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/6*2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + 249. What is the highest common divisor of q and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(1344\/(-1544)) + 8. Let u = -251\/771 - 2\/257. Put 3, u, a in descending order.\nAnswer: 3, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - -20 - -45 - 61?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5165*r - r**2 - 5187*r - 1 - 37 - 4. Let z(j) = j**3 - j**2 + 2*j + 26. What is the remainder when c(-17) is divided by z(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.7037 - 0.0363. Let w = 0.26 - v. Which is the second biggest value? (a) w (b) 3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 + -0.201. Let o = j + 36.991. Let d = o - 38.3. What is d rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 17*q**2 + 5*q - 77. Let y be m(17). Solve -5*w + y + 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 9*h**2 - 5*h + 4. Let k be n(-6). Let o = -158 - k. Let c = 275 + o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -4*h - 143. Find the common denominator of 41\/10 and 2\/3 - h\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 4*g - 2. Let z be b(-5). Let d = z + -4. Let s = d - 0. Let f(c) = -5*c + 1. Determine f(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10013 - -102233?\nAnswer: 112312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a + 2. Calculate j(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let k(j) = 5*j**2 - 8*j + 4. Let g(c) = c. Let v(s) = -4*g(s) - k(s). Let f(p) = 4*t(p) - v(p). What is the first derivative of f(w) wrt w?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 2. Let a(u) = -3*u**2 + u + 1. Let v be a(-1). Let r be 2\/6 - (-1)\/v. What is the least common multiple of 10 and z(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26462*w - 11 - 5*w**2 - 26445*w + 52907*w.\nAnswer: -5*w**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -14, -4, 2 in descending order.\nAnswer: 6, 2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 32 + 20. What is the remainder when (-6617)\/(-65) + k\/10 is divided by 0\/(-1) + 38 + -3?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125.76 - -124. Let x = 1.26 + v. Let w be 1 + 0 - 3\/9. Which is the nearest to 0? (a) -2\/7 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 1714154?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - k - 281 = 0, 0*n + n - 279 = 3*k. Find the common denominator of 35\/2 and (22\/(-33))\/(28\/n).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(d - 3*d + 0*d) - d - d + 0*d - 1 + 2*d + 1 + 0*d + 2*d - d + (4*d - 3*d - 2*d)*(1151 + 377 + 31 + 673) to the form p*d + g and give p.\nAnswer: -2233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 7:29 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14598, 16401, 19416, 23649, 29106?\n\"Answer: f**3 + 600*f**2 - 4*f + 14001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148913*l**2 + 299041*l**2 - 149316*l**2.\nAnswer: 812*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -35. Suppose -c*z = 4*a - 136, 304 = 3*z + 2*z + a. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 693*b - 106490.\nAnswer: -(b + 230)*(b + 463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8038, -16072, -24106?\n\"Answer: -8034*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134462 times 5?\nAnswer: -5672310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) -0.4 (b) 1\/2 (c) -0.3 (d) -45 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 22. Solve s = -5*f - c + 2, -5 = f - c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, 162, 0.06, 0.4, -16?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 445 + 5142*w + 257 - 1091*w + 115 wrt w?\nAnswer: 4051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.19088 to 1 dp.\nAnswer: -44.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1708 + -909. Calculate the greatest common divisor of r and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 - r**4 + 5*r**3)*(-58347*r - 5647*r - 8 + 28 - 20).\nAnswer: 63994*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**2 + 44*d**2 + 8*d**2 + (-2 - 2*d + 2)*(-d + 0*d + 0*d) + (-12*d + 8 - 8)*(0 + 0 - d).\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**5 - 2*u**3 + 2*u**2 + 2. Let d(p) = 3*p**5 - 5*p**3 + 3*p**2 + 5. Let s(t) = -4*d(t) + 10*j(t). What is the third derivative of s(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 461*z + 24. Let i(x) = -106490*x - 5556. Calculate 2*i(v) + 463*t(v).\nAnswer: 463*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + o - 6 = 5*n, 5*n = -2*o + 16. Let w(i) = i. Let b(y) = -6*y - 5. What is n*w(p) + b(p)?\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**3 + 4*r**2 + 8*r + 4. Let l be v(-1). Let z be l - 158\/22 - (-4)\/22. Which is smaller: 1\/444 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + 24. Let q = 1217\/15 - y. Suppose 11*n - 20 = 6*n. Which is the biggest value? (a) q (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s + 8. Let z be r(-7). Let q = z - -18. Let b = -10 + q. Solve b*d - 5 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33564, -64285, -95006, -125727, -156448?\nAnswer: -187169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1947319*w + 5873. Let b(k) = 1658*k - 5. Give -5873*b(v) - 5*f(v).\nAnswer: -839*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 + 16*w - 2*w**2 + w**2 + 0*w**2 - 405.\nAnswer: -6*w**3 - w**2 + 16*w - 405","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3547, -3490, -3407, -3298, -3163, -3002?\n\"Answer: 13*p**2 + 18*p - 3578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -23*i - 2. Let n(j) = -1520*j - 133. Let k(g) = 2*n(g) - 133*x(g). Let w(a) = a. Calculate k(w(f)).\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10430042 + -3021?\nAnswer: -10433103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -1614, -273, 2, 1 in ascending order.\nAnswer: -1614, -273, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -69488854 plus 453?\nAnswer: -69488401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 14. Let l = n - -20. Suppose 14*w - 7*w = 7. Sort w, l, 0.4 in decreasing order.\nAnswer: l, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 246520000*k**2. Let r(w) = 2*w. What is m(r(l))?\nAnswer: 986080000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = w + 1, 0 = o - 2*w - 12. Suppose 4*v + 20 = o*b, 0*b - 3*v - 15 = 3*b. Suppose b*r = 2*r - 90. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -17130 + 505. Let k be 6\/(c\/590 + -4). Let v = k - 134. What is the remainder when v is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yskf when four letters picked without replacement from fkfkffxfsykfxx?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 + -35. Suppose -5*z + n + 27 = 0. Solve 3*u - 2*y = z, 3*u - 18 = u + 4*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -1, 1, -6 in increasing order.\nAnswer: -6, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 5*h + 3177, -2*s - 2*h + 6366 = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 857 + -841. Let k(o) be the first derivative of 3 + a*o + 20\/3*o**3 - 24*o**2. Factor k(i).\nAnswer: 4*(i - 2)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 40*g**2 - 6*g - 39. Let s be b(-9). Suppose -28*d + s = -2653. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**2 + a**2 - 13*a**2.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 20. Let d be s(-14). Let n = d - 25. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20500, -14\/13, -27 in increasing order.\nAnswer: -27, -14\/13, 20500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11640 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/10 + 18742*d**2\/5 + 74962*d\/5 + 14992.\nAnswer: (d + 2)**2*(d + 37480)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddrdddddddddrdrrr. What is prob of sequence dr?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447079?\nAnswer: 43, 73, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 3:21 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*k - 21*k + 393*k - 5048*k - 7863*k as x + d*k and give d.\nAnswer: -12569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j + 1. Let q be w(-3). Let y be (-1 - 4)*(-8)\/q. What is the tens digit of 3004\/30 + y\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 977252210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 123, -0.5, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2.2, 0.08, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - 0.1. Let d = o + -0.5. Let x = d - 1.4. Put x, -3, -2\/3 in descending order.\nAnswer: x, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**2 + d**4 - 3*d**3 + 0*d**4 + 2*d**2 - 6*d + 2*d to v*d**4 + p*d**3 + x + l*d + u*d**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1 = 3*l - 4, -l + 2*i - 4 = 0. Let h(w) = 4*w - 2*w + 4*w - w**2 + 0*w**2 + 8. Give h(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:24 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 9*b**2 - 17*b - 22. Calculate the smallest common multiple of m(-10) and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(4\/(-10)) - 13. Let c = 0.2 - 0.2. What is the smallest value in 2\/5, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/57, 1\/40, -15\/4, 0.3 in ascending order.\nAnswer: -15\/4, 1\/40, 2\/57, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/9 + 2784616*h\/9 + 969260783432\/9 = 0.\nAnswer: -696154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -46*(0 + 21\/(-14)). Suppose 0 = 4*s + 2*u + 2, -s + 0*u = -5*u - 16. Let z be -3*y\/(-9)*s. Solve 0 = -4*w - f - 3*f - 4, z = 5*w - 2*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1716*m + 34316. Determine j(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1\/2, 0.03, -2, 46, -1, 4 in decreasing order.\nAnswer: 46, 4, 0.03, -1\/2, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 28*h - 98.\nAnswer: -2*(h + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31620 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5227\/19 - -275. Put 7, r, -5 in descending order.\nAnswer: 7, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 18, t: 1}. Give prob of picking 4 c.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*((-4 + sqrt(176))**2 - sqrt(11)).\nAnswer: -2304 + 396*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 573, -296, 4 in descending order.\nAnswer: 573, 4, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*o = 15, 5*w - 2*o - 5 - 30 = 0. Suppose w*x - 605 - 440 = 0. List the prime factors of x.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 200 + 6*m - 202 + 3*m**4 + 3*m**3 to the form l + c*m + f*m**2 + y*m**4 + v*m**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*v + 2*d + 2, 3*d = 0. Let g(j) = 1 - 2*j - 2 + 2 + 2*j**2 + j**2. Let c be g(v). Solve -c*m = -m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -368\/7 or -54?\nAnswer: -368\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (1 - (-2 + -28)\/3). Let t(r) = -r**3 + 9*r**2 + 9*r + 12. Let w be t(m). Solve 3*c**w + 7\/3*c + 2\/3 + 5\/3*c**3 + 1\/3*c**4 = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -29*x + 12. List the prime factors of s(-2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -2*s + 143. Let d(p) = 82*p**2 + 6*p - 2. What is the units digit of d(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*a*d**3 - 62*a*d + 1845*d**3 wrt a?\nAnswer: 11*d**3 - 62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/218?\nAnswer: 1\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9 and 0.3075756.\nAnswer: -8.6924244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (704\/(-6545))\/(12\/10). Let z = -10\/51 + q. What is the closest to 0.2 in 0.5, 4\/5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 30286, 1, 0 in increasing order.\nAnswer: 0, 1, 147, 30286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 2*c - 82. What is the smallest common multiple of d(-9) and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 15*h - 32. Suppose 19 - 2 = -y. What is the remainder when 3 is divided by z(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 3427462.59586?\nAnswer: 3427462.49586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-2) + -1 - (-2245)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19424194709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/14 - 52*s**3\/21 + 109*s**2\/7 - 24*s + 1083. Solve x(j) = 0 for j.\nAnswer: 1, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 449 - 309. Let m = z - 140. Put m, 1\/2, -0.2 in ascending order.\nAnswer: -0.2, m, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a + 1. Let i be d(2). Suppose 2 = -5*q + 17. Suppose -q*o = -i - 20. Solve o = -5*w - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/(1\/(-4)). Let a be (-2)\/((-2)\/(-8)*(-7 + 6)). Solve -2*k - 12 = -3*s, -o*k - 2*s + a = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1500 and 600?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5085)\/(-15)*(-7)\/(-21)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -29. Sort c, -5, 2\/3.\nAnswer: -5, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.4 take away 219299?\nAnswer: -219347.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -4*k**2 - 46*k - 11856. Determine v(-17).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/27 - 13\/(-3). Suppose -3 = d*c - 15. Let l(p) = 3*p + c*p**3 - 2*p**3 - 3*p**2 - 3 + 3. Give l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 - -0.4. Which is the closest to -8? (a) o (b) 0.5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135.5 - -136. Which is the smallest value? (a) g (b) -0.3 (c) -0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 7, -0.7, 1\/6, 0, -5\/8 in descending order.\nAnswer: 7, 1\/6, 0.1, 0, -5\/8, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1063418 and -27\/2.\nAnswer: 1063418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -25*(6 + 256\/(-40)). Let r(m) = -m + 22. Give r(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14099.5364 to the nearest ten.\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 63, 5, 103 in decreasing order.\nAnswer: 103, 63, 5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63634463 to the nearest integer?\nAnswer: 7977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by 4\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1363710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245)*-1)**2 + 3.\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-21)*(-351)\/(108\/12)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69077 is divided by 273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 31*a - 2. Suppose 2*r - 6 = -y - y, 0 = 4*r - 4*y - 28. Let f(i) = 21*i - 1. What is r*t(j) - 7*f(j)?\nAnswer: 8*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20689 + -20694. Let o(x) = -4 - 4*x - 2*x - 2*x**2 + 9. What is o(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = -3*n - j + 298, -17*n - 4*j - 89 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43258, 43338, 43418?\nAnswer: 43498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300116017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68804 - -337291. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from afvfcvv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2 + 7*p + 3. Let x(c) = -17*c**2 + 20*c + 8. Let w = 23264 - 23260. Calculate w*x(z) - 11*r(z).\nAnswer: -2*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 14*z**2 + 15*z - 22. Let a be v(13). Solve a = 2*x - 0*h + 4*h, h + 13 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89201?\nAnswer: 7, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (6822\/(-72))\/(1\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20954*2.\nAnswer: -41908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3917*-5.\nAnswer: -19585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -1\/6, 1\/44, 2, -0.2, -4\/3.\nAnswer: -4\/3, -0.2, -1\/6, 1\/44, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 17 = 3*b, 5*c = 2*c + 4*b + 26. Let t be c\/(-9) - (-34)\/(-9). Is 10*((-10)\/t - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)\/a)\/(a\/((a\/(a\/a**(-2\/17)))\/a))*(a**(7\/5)\/a*a)\/a*a**(-1\/15) assuming a is positive.\nAnswer: a**(-125\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18003*k = -18004*k + 55691. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17795441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/6*-2)\/((-266)\/798).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/4272016 and 37\/1764.\nAnswer: 38448144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58270885.\nAnswer: 5, 139, 83843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 651214872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62, -146, -226, -302, -374, -442, -506?\n\"Answer: 2*w**2 - 90*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -157574 - -157602. What is the lowest common multiple of c and 12 + (-2 - (-3 + 1))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292 - (0 + -1)\/(21 - 20)?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 4 - 11 - 1 - 45*d in the form y*d + u and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3258 and 32.\nAnswer: 52128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t - 15. Suppose -3*x = -5*j - 47, 8 = -0*x + 2*x. Let m be -2 + (-2 - j) - 0. Put -2, m, t in decreasing order.\nAnswer: m, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j + 4. Suppose -j*l = 3*l. Let v be 7\/9 - (-22)\/99. Sort v, 5, l in ascending order.\nAnswer: l, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 1, 2187*i + 2179*i = 9*o + 4370*i - 310 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 0, 7*m - 2*q + 6520 = 12*m. What are the prime factors of m?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - y, 5*d - 22*y + 25*y = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 124757476 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 140, 296, 468, 662, 884, 1140, 1436?\n\"Answer: q**3 + 2*q**2 + 143*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217550 or 2133?\nAnswer: 2133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f**5 + 4351*f**4 + 1622275*f**3 + 107072349*f**2 + 98416952*f - 7037488 = 0.\nAnswer: -116, -1, 1\/15, 523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pkggpkgkmp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 62973?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 6. Let h(f) = -2*f**2 + f - 1. Let o(b) = 7*b**2 - 16*b - 5. Let l(q) = -3*h(q) - o(q). What is the units digit of l(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -13. Suppose 0 = f - 0*r - t*r + 971, f + 5*r = -971. Let z = f - 3729. What is z rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 919 (c) -8.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -347323 = -348177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6965 - 6970. What is the second biggest value in -30, i, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3233 + 244?\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1785)\/(-1360))\/(18\/16). Let k = -29 - -20. Let o = 8 + k. Does l = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16610905 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374 and 9482?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.04. Let i be ((-2064)\/(-7482))\/(6\/87). Which is the nearest to s? (a) 0.1 (b) i (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 20, 23, 38, 71, 128?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-21))\/((-7)\/(-21)). Let n = -0.36 - -0.14. Let h = n - 0.08. Which is the second biggest value? (a) h (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(640)*1 + sqrt(640) - sqrt(640)).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 0 - 20 = -2*d, 3*d = 3*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/18 and -5\/8199?\nAnswer: 16398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + b + 2*b + (0 - 2 + 1)*(-18*b + 3*b - 2*b))*(5*b - 3*b - 3*b).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -445.2 + 454.2. Which is the nearest to -1\/2? (a) -5 (b) 1 (c) o (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.8584 less than 218.2?\nAnswer: 254.0584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -65, 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 5*m - 55. What is u(-8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 42411, -2, 1\/2 in descending order.\nAnswer: 42411, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/4 - 4*r**3\/3 - 5*r**2\/2 - 4*r - 2. Let k be b(-3). Suppose k*x = -x + 39. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, -17, -37, -57, -77, -97?\n\"Answer: -20*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + l + (-98 - 34 - 55)*(-3*l - 2*l + 7*l))*(27 + 61 - 15).\nAnswer: -27448*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 97*t**2 + 89*t - 667. Determine m(-96).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((-1)\/1 + -80). Suppose 5*i - 387 = -h. Suppose 32 = 4*r - 4*y, 0*r + 2*y = -5*r + i. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-8))\/((-9)\/(-48)). What is the remainder when 85 is divided by 6\/4*(-176)\/g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4545 and 61246905.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200222 (base 3) in base 14?\nAnswer: -649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3617 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 7:55 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104963 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 2321 - 1469 - 1332 = 0. Solve 389*n = y*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 0)*2 - (sqrt(19) - (0 + sqrt(684) - sqrt(684) - sqrt(19))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*u = -2 + 3, -5*f - 8 = 3*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 2:30 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3146 and 1270126.\nAnswer: 13971386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzsggesze. What is prob of picking 1 e and 1 s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*o + 112. Find the common denominator of (-4)\/o + 3223\/(-770) and -57\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -8 - 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 54*q**5\/25 + 594*q**4\/5 + 156*q**3 + 388*q**2\/5 + 86*q\/5 - 169. Factor w(z).\nAnswer: 2*(z + 43)*(3*z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 22 = 18*l. Solve 0 = 5*m - 2*k - 12 + 1, -3*k = -l*m + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-12 - 4648\/(-384)). Let 96\/5*m**3 + 0 - g*m**2 + 6\/5*m = 0. Calculate m.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/3 - (-4)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3))\/(287692\/1278 - 224)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2420, 2, 2\/5, -9\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u - 10. Let a be q(-4). Suppose 5*h + 64 = 454. What is the greatest common factor of a and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**6\/6 + 14*h**5\/5 - 33*h**4 + 302*h**3\/3 - 269*h**2\/2 + 84*h + 5671. Factor b(s).\nAnswer: (s - 4)*(s - 1)**3*(s + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/(4*sqrt(2)))\/(2*sqrt(8)*-2) + 3)**2.\nAnswer: -3*sqrt(2)\/8 + 1153\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 93*p**2\/2 - 2*p - 3. Let s be (-2 - (1 + -1)) + 3. Is f(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:56 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 l when four letters picked without replacement from {h: 4, l: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 457457\/5005 - 255\/3.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Suppose 0*m + 3*m = l*i - 20, 5*i - 14 = m. Solve -3*b = i*b + 3*z, 2*b = 5*z - 31 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -43. Let c be -5 + 6 - 6\/5. What is the third biggest value in 1, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3190627 * 3.\nAnswer: -9571881","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(sqrt(459) + (sqrt(459) - 2*sqrt(459)) + sqrt(459)))\/(sqrt(243) + 4*(sqrt(243)*3 + sqrt(243)) + sqrt(243)).\nAnswer: 5*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 469051, 938101, 1407151, 1876201?\n\"Answer: 469050*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3367 (c) -24 (d) 2\/13 (e) -0.06 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -290925 divided by -58185?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 - 4*b**2 - b - 7. Let o(y) = 6*y**3 - 4*y**2 - y - 8. Let r(d) = 7*n(d) - 6*o(d). Give r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5144 - -443.14.\nAnswer: 5587.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 < 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 14 - 185 = 0. Suppose -m*k + 16*k = -9. Suppose 5*u = k*u - 2. Put -5, u, 1, 2 in decreasing order.\nAnswer: 2, 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*t - q, 25*t - 3*q = 22*t + 6. Let z = 461 - 5996\/13. Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2432 + -2432. Solve p = -5*x - 3*g - 15, 4*g - 7 = 4*x + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-350)\/75*(-15)\/2. Solve 39*k - h*k + 15 = -x, -5*k = 2*x + 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(1377))*-6 + (-2 + sqrt(1700) - sqrt(17))**2 + (1 + sqrt(17))*2.\nAnswer: -88*sqrt(17) + 1389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from {s: 1, i: 6, a: 2, m: 1, o: 2, z: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 - 5. Let k be m(3). Is k at most as big as 32\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-33) + 3\/((-18)\/(-24)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 15965*d**2 + 8925463*d - 2230368.\nAnswer: (d - 3319)*(d - 672)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -0.1 (c) -59 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 7\/60*y**5 + 3*y**2 + 0*y**4 + 0*y**3 + 0*y + 0. Let s(v) = -2*v. What is w(s(g))?\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67905 is divided by 6599.\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14903 or 104315\/7?\nAnswer: 14903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p - 4. Suppose 39*y = 22*y + 272. Suppose 3*q + w = -y, -2*q - 7 = 9*w - 12*w. Give u(q).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46.7 + -51. Let y = t - -4.497. Let v = 1.977 - y. Round v to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7856, 15627, 23316, 30923, 38448, 45891, 53252?\n\"Answer: -41*z**2 + 7894*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**3\/3 + 3*p**2 + 5*p - 2706. What is w(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {p: 10, u: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)\/d*d*d**2)**(-33) assuming d is positive.\nAnswer: d**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4236*o + 85. Let y(q) = -2118*q + 34. Give 2*a(b) - 5*y(b).\nAnswer: 2118*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -17. Let r = -4478 - -4498. Solve -r = -2*p + x*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177719*o**4 + o**2 - o - 2199.\nAnswer: -4265256*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -896196\/5 or -179238?\nAnswer: -896196\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2562\/11 - 230. Let m(n) = 2*n**2 - 14*n - 18. Let t be m(8). What is the common denominator of f and (-328)\/28 + 6 - (2 + t)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*(-4)\/(-3)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:01 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*p + 8. Suppose -4*v = 2*h - 12, h - 2*h - v + p = 0. Suppose 2*s - 24 = -h*s. Solve s = -q + 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -2, -1.23?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.7 - -5.69903. What is i rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 11*s**2 - 16*s + 50. Calculate w(9).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78264 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from {n: 11, t: 2, j: 4, r: 1, w: 1}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 13, f: 2, i: 3}. Give prob of picking 1 f and 1 u.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 697 and 7453267?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172746 and 669048.\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-126)*-6*3\/1. Let n(l) = -6*l**3 + l**2 - l - 1. What is n(m)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2*l**5\/5 + 7*l**2\/2 + 3. Find the second derivative of c(w) wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddwww. What is prob of picking 1 w and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (12 - (7 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046347993 to three dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = 0. Let p = 0.19 + 0.01. Let b = 0 - p. Put u, b, 0.5 in descending order.\nAnswer: 0.5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1306\/(-8)*(-68 - -64). Is u equal to 653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -35, 2*b + b = 3*i - 9. Sort 1, b, -7, 0 in descending order.\nAnswer: b, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-5 - -13)) + 2\/10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8 + 3*i**3 - 3*i**3 + 6*i**2 + i**3 + i. Suppose -5*u + 17 = -2*q, -5*q + 4*u = -u + 35. Calculate l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {z: 6, t: 4, f: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(208) + sqrt(208) + 5*(-3 + sqrt(208)) + -1)**2 + 3.\nAnswer: -1120*sqrt(13) + 10595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 9513.225 weeks?\nAnswer: 1598221.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.178 - 125.76088?\nAnswer: -125.93888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k\/k**(-2\/7))\/k)\/k)\/k**(-1\/6))**(2\/9) assuming k is positive.\nAnswer: k**(19\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 16*o - 55. Let x be v(11). Solve 4*h + x*h + 2*l = 0, -10 = -3*h - 4*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 73. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 0.01. Let h = -1 - w. Let j = -9 - -11. Which is the nearest to -1\/6? (a) j (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 4588804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 188089 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/48*-4*-80)\/(2100\/5250)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(462\/(-60))*66\/(-60) + -115?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-9 - -14))\/(-8 + 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111 (base 2) to base 10.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4477*c**3 + 4 + 4509*c**3 - 4.\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 82)\/(-72)*1*16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 3:53 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1835971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.42 + -0.58. What is the third smallest value in 1, -2\/5, p, -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 22. Let u be n(0). Let k = u + 50. Let r be (-62)\/168 - (-8)\/k. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8572357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s. Let d(q) = 47*q - 4. Give o(d(v)).\nAnswer: 235*v - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -19.99. Let q = 328 + -325.99. Let n = s - q. Put n, 5, -5 in decreasing order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/15)\/h)\/h)\/((h*h\/((h**(-8\/3)\/h*h)\/h))\/h)*(h*h**(-2\/3)*h)**(-6\/29) assuming h is positive.\nAnswer: h**(-1026\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 18\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -489, -898, -1459, -2166, -3013?\nAnswer: -3994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*(186\/(-12) + 17). Solve o + 5*w - 3 = b, w = -3*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35126 and 507?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 84 = -0*m. Let b be 28\/6 - (-7)\/m. Suppose -5 + 0 = -b*k. Let z(x) = 7*x**3 + x - 1. Calculate z(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 + 6*n - 7. Let b(k) = k - 4. Let q(g) = -1. Let v(a) = -b(a) + 3*q(a). Determine f(u) + 6*v(u).\nAnswer: -2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 - -3) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 420891 greater than or equal to 420891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10103 (base 4) to base 9.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190 + 1332\/7. Let g = -3 - -2. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 2. Let j(y) = 1. Suppose 5*k - 6 = 8*k. Let v be 3 - (1 - (-2 - k)). Give v*f(i) + 7*j(i).\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5796 and 2484.\nAnswer: 17388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 851?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-54) + (-2)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 + 5*v**4 + 3*v**4 + 5 + 0*v**4 wrt v.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33b + 18?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvdyzvf. Give prob of sequence dv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g + 4. Let l be m(-6). Suppose 0 = -4*z + 16, 4*r - 2*r - l = -2*z. Solve -3*v = -r*h - 1 + 2, -4*v = -2*h + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.455885 and 11189125.\nAnswer: 11189124.544115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91682 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 2*d + 4. Let g be 78\/(-9) + 25\/15. Determine v(g).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7294606*j**2*k + 1682*j**2 - 273*j - 2 wrt k.\nAnswer: -7294606*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o - 1. Let n(t) = -2*t. Give x(n(p)).\nAnswer: -34*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 - -141.61. Let f = -0.11 + z. Let h = -14.1 + 14. Which is the biggest value? (a) h (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - -1) + -7 + 26.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46659*u - 46683*u = -183 - 369 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1 + -2)*-41. Let f = -601 + x. What is f rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1056845 and 1680?\nAnswer: 355099920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 92797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -17*a**3\/6 + 2*a**2 - 9*a. What is the units digit of c(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 3075676062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let a = l - -2. Suppose a*d = -d + 2250000. What is d rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from kdkkddkdkk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*r + 61110 - 61093 = 0, -28 = 3*g - 5*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5))**40\/(j\/j**(-3\/2)*(((j\/(j**2*j))\/j*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-216)*(-1 - -4))\/((-252)\/1701).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 35. Suppose -2*a + b + q = -3*a, 4*a - b = 2. Suppose -2*j = r - 28, -j + r + 17 = -a*j. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/3))**(-9\/5)*(u**(-1\/2))**25 assuming u is positive.\nAnswer: u**(-131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2)\/(x\/(x*x**(-1\/5)*x)))\/(x**1)**(4\/41)*x**(-6)\/x*x**(-9)*((x\/(x**2\/x))\/x)**(1\/33) assuming x is positive.\nAnswer: x**(-187091\/13530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 2*v - 20)*(-3*v**2 - v**2 + 0*v**2)*(1 - 1 - v**2) - 2*v**5 - v**5 + 2*v**5.\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2 + 4*s + 3. Let w be n(-3). Let u = -149153\/170552 + -10\/21319. Calculate the common denominator of u and (w\/128)\/(2\/(-4)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96810\/(-40) - 66\/24. Which is smaller: -2424 or s?\nAnswer: -2424","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137893?\nAnswer: 7, 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7294.37 centuries to decades.\nAnswer: 72943.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10083 or -1398?\nAnswer: 10083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 - (-1 + (-10)\/(-4)). Let k be -5*(48\/(-20) - o). Let b be (3 - 1)*(-3)\/(-2). Solve 0 = -b*v + v + k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-40))\/((-176)\/(-1760)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 1\/4, -20741, -29?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 11*l**2 - 8*l + 24. Let i be j(-10). Solve u**3 - 101*u**3 + 20*u**3 - 3*u**5 - 106*u**3 + 189*u - 51*u**i + 294*u**2 - 243 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 3 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 5*r**2 + 8*r - 5. Let x = 8 + -2. Let d be g(x). What is the greatest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 20 = 3*t, 2*t - 26*r + 25*r = 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 11. Suppose -v + 3*v + 10 = 0, d + 3*v + i = 0. Solve -8 - d = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 22*t**2 - 52*t - 925. Give d(20).\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -36. Let x = s - -31. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Let k be (-1)\/(-4) - 46\/(-8). Let v be (k\/4)\/((-33)\/(-6)). Is v at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/11)\/((-4)\/32*-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1437 - 1534 + 357 = -179*n - 645 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1) + (-25449)\/187*-11 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4197 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 65576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 106\/31?\nAnswer: 106\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 3\/1 - -1. Let p = 4 + j. Suppose -1 - 3*d**3 + 0*d**p + d**3 + 0*d + 2*d + d**4 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + 4*s**2 - s + 2*s)*(1 - 76*s**2 - 14*s**2 - 64*s**2) as z + b*s**2 + j*s + n*s**4 + r*s**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/16 and -91\/8154236?\nAnswer: 32616944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 5*l**2 + 4*l + 2. Let w be n(-4). Suppose w*t - t - 5 = 0. Suppose 2925 + 6225 = t*h. What is h rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 5*o = 0. Suppose 0 = 2*g - 6*g - 2*s + 50, o = -4*g + s + 35. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*p + 10, 0 = -2*p - z + 3*z + 6. What is the third derivative of -4*f**p - f**2 + 3*f**6 - 3*f**6 - 2*f**6 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 511.5 - 512. Which is the nearest to 2\/3? (a) 1\/4 (b) 0 (c) p (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 12 = 25*l - 82. Solve -d = l*h + 21, 4*h + 18 = -h + 2*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*t + 65. List the prime factors of 10\/(-4)*(t + -1 - 65).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6705739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhz when three letters picked without replacement from hzubwwh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260 by 47621.\nAnswer: -260\/47621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 12*i - 223 = w, i + 47 = -w. Which is bigger: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 32*u**2 + 255*u - 3. Let q be w(15). Let x(k) = k**3 + 3*k**2 - 4. Calculate x(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y. Let n(u) be the third derivative of 26*u**2 + 0*u**3 + 0*u**4 + 0 + 2*u - 29\/60*u**5. Calculate r(n(t)).\nAnswer: 203*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147 + 106*x - 151 + 438 - 140.\nAnswer: 106*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.3621 and -0.04.\nAnswer: 0.654484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*i + 28 = 0, -5*l - 22 = 5*i - 3*i. Let h(m) = 3*m - 1. Let g(v) = 4*v - 2. Let c = -11 - -15. Give c*g(y) + l*h(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 3*n - 40. Let u(w) = w**3 - 9*w**2 + 9*w - 3. Let l be u(n). Suppose j - l = -0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 57*d + 33. What is the units digit of z(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 14) to base 4\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*w - 62*w - 20. Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 26*t**2 + 145*t + 20. What is i(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15325, -15317, -15295, -15253, -15185?\n\"Answer: n**3 + n**2 - 2*n - 15325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.65461 rounded to 1 dp?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 15. Suppose 3*f = t - 23. Let n be (-14)\/f - (-10)\/15. Solve -n*p + 4*p - 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683*x = 638*x + 2473110. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 3*u)*(2 - 1 - 4).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.5488 and -5.\nAnswer: 117.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-5\/2))\/((b*b*b\/((b\/b**2)\/b)*b)\/b))**(-7\/5))**32 assuming b is positive.\nAnswer: b**(1456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e8eb7 (base 15) to base 11.\nAnswer: -465304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 7*c + 4. Let q be ((-4)\/5)\/((-1)\/(-5)). Calculate the remainder when 21 is divided by m(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.004359\nAnswer: -0.021795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 3*m - 3*m + (2*m**2 + 2*m**2 - 2*m**2)*(m**2 - 4*m**2 + 2*m**2) + 0*m**4 + 2*m**4 + 0*m**4 + 33*m**2 + 62*m**2 + 2*m**3 - 74*m**4 - 93*m**2.\nAnswer: -76*m**4 + 2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148238528 divided by 4.\nAnswer: 37059632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o + 0*o - o)*(2 - 2 - 2) + 0*o - 2*o + o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 0*j**2 + 6 + 0*j**2 + 8*j. Is d(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 50 = -4*i. Let h = -6 - -10. Solve 6*y - 2*v + h = y, -2*y - i = 4*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -326 + 314. Let s(i) = 7*i**3 + 24*i**2 + 7*i - 1. Let h(m) = 11*m**3 + 36*m**2 + 11*m - 2. Let n(k) = 5*h(k) - 8*s(k). Does 5 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 2, 81 in increasing order.\nAnswer: 3\/4, 2, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 283 + -188. Let p = 67 - i. Let v = p + 30.2. What is v rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -3) + (19 - 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*t - 10 = 0, -4*p + 2*t - 849 = -843 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o - 2*o)*(-848 + 803 + 0*o + 2*o).\nAnswer: -6*o**2 + 135*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-80)\/(-20) + 0 + (0 - 0). Suppose -p = -h - 6*p + 263, a*p = 4*h - 956. Suppose 0 = -2*b + 5*n + 234, 0 = 4*b + 5*n - 285 - h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -543.4096648 to 1 dp.\nAnswer: -543.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 89*b**2 + 193*b + 285. Let u be z(-83). Calculate the greatest common divisor of u and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 9 = 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 - g + 2. Determine u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 - j + 3. Determine s(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 13)*((-26)\/10 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 14. Let k(v) = 3*v**2 - 2*v + 1. Let o be k(1). Factor 6*w**3 - 6*w**o - 6*w**2 - h*w**5 + 8*w**2.\nAnswer: -2*w**2*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*x**4 + 17 - 2*x**2 - 23*x**4 - 8*x**3 + 2*x + 10*x**3 to y*x + z + p*x**2 + h*x**4 + d*x**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171813, 172780, 173747?\nAnswer: 174714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352242 is divided by 352145.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*k**2 - b**3*s - b**2*k**2*s + 5*b*k**2 + b*k*s + 2*k**2*s wrt b?\nAnswer: 12*k**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**3 + 2*t**2 - 2*t + 1. Let o(u) = u**2 + 5*u - 2. Let d be o(-5). Let w be -3*(d - 15\/(-9)). Calculate x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3) + 0)*-3. What is the units digit of ((-5)\/j)\/((-1)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 5*a)*(74 - 55 + 140).\nAnswer: 636*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 528*o**2 + 1576*o - 1. Calculate m(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**3\/3 - c**2\/2 + 40*c - 10. Let m be i(-6). Suppose 3*n + 3*h - m = 2, 4*n - 3*h = 23. Is n <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2241\/(-1079) + (-2)\/(-26))\/((-48)\/(-1488)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7391 and 1406?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69189.\nAnswer: 3, 23063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 199225\nAnswer: -4\/199225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(12)*1 - -3*sqrt(588))\/((sqrt(72)*-1 - sqrt(72))\/sqrt(12) - (sqrt(36)*-1)\/sqrt(6)).\nAnswer: -17*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*(3\/2)\/3. Let y be (-6)\/24 + 13\/j. What is the second derivative of -2*a + a + 3*a - 2*a**y wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2312)\/(-15895)*(-55)\/10)\/(8\/(-290))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -25.1?\nAnswer: -25.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 6*q + 25. Give v(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3065, 1, -2 in ascending order.\nAnswer: -3065, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 - 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 194581628?\nAnswer: 194581628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 32 = 5*w. Suppose -w*a + 135 = -253. List the prime factors of a.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000921728 rounded to five decimal places?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 2*b + 3*b)*(1 + 3 - 5)*(15*b**2 - 1082*b**3 + 1082*b**3 - 3*b**4).\nAnswer: -9*b**5 + 45*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 - 3*z**2 + 2*z + 1. Let v be 4 - (4 - (-1 - -3)). Does 14 divide o(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-2\/3)))\/x**(2\/7))\/(x**(1\/3)\/x*((x**3*x)\/x)\/x))\/(x**(-2\/3)\/x**2*(x\/x**(4\/7))\/x**(-3\/2)) assuming x is positive.\nAnswer: x**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 16 + 14 - 28 - 3. Let h(p) = p + 5. Determine 2*h(c) + 4*q(c).\nAnswer: 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-17766)\/(-2632))\/((-36)\/(-224))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, r: 3}. What is prob of sequence urur?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -65.2, -4.\nAnswer: -65.2, -4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 8*n - 7. Suppose -2*s - 27 = -n*s - 2*p, 4*s = -5*p + 93. Suppose 0 = -h - 4*h + 140. Calculate the remainder when h is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14192*i**2 + 42824 with respect to i.\nAnswer: -28384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(448) - sqrt(448))*-1 + (sqrt(112) + sqrt(7))*-3 + 5*sqrt(7)*2.\nAnswer: 43*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2076 + -529. Calculate the common denominator of (4 - n\/234)\/((-30)\/(-8)) and -57\/4.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-20 - 186\/(-9))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 30*c - 32. Let k be z(-16). Suppose k = 2*m - 4*m + 5*p + 6, 4*p = 3*m - 9. Solve -4*h + m*h = -5*f, -3*h - 2*f - 17 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*h**5 - 5 + (-2*h**3 - 2*h**3 + 3*h**3)*(14 + 3*h**2 - 14).\nAnswer: -5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*b**2 - 19 + 19)*(6*b - 6*b + 2*b) + 16*b**3 + 5*b - 5*b + 3 + 2*b**3 - 3 in the form w*b**2 + m + g*b**3 + k*b and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 424 = 304. List the prime factors of (-28)\/t + (-1055)\/(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513995921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101111111101 - 1?\nAnswer: 101111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268702914 is divided by 2795?\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56398*y**4 - 967*y**3 + 47644247*y**2?\nAnswer: 1353552*y - 5802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -31415334?\nAnswer: -31415340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2096 = -4*u, 9*u - 844 = 2*z + 6*u. Let j = -413 - z. Solve n + w = -4*w - 8, -w = j*n + 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -14. Let r be w\/9 + (-16)\/8. Determine l, given that 10\/9*l**2 - r*l**4 - 14\/9*l**5 - 4\/9*l + 0 + 2*l**3 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*((-7)\/(28\/4))\/3. Solve 48 = -10*w - x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12332383.\nAnswer: 7, 251, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 533 + -810. Let p = l - -256. Sort -3, -4, p in increasing order.\nAnswer: p, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26 - 1.26. Which is the second biggest value? (a) 1 (b) -0.7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2871?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*o**2*x + 1718201*o**2 + 211886187*o*x wrt o.\nAnswer: -14*x + 3436402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + a + a)*(0 - 2 + 1 - 3 + 4 + 0 + (4 - 2 - 1)*(2 - 1 + 1) - 5 + 1 + 3 + 2 - 2 + 1) to the form p + j*a and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 74, 93, 130, 191, 282?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, -2, 7, 6, -23 in decreasing order.\nAnswer: 7, 6, 0, -2, -19, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100110 greater than or equal to 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 990*h + 9*h**2 - 3*h**3 + 2*h**3 - 8 - 2*h**2 - 986*h. Does 14 divide o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42056 + -1?\nAnswer: -42057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Calculate the remainder when (1 - -1)*(-9)\/o is divided by 1 + 2*(3 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.056849*0.051\nAnswer: 0.002899299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 64, 44, 8, -50?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 19*k - 135*k - 507. Let p(b) = 5*b - 2. Let j(v) = -11*v + 3. Give k*p(l) - 3*j(l).\nAnswer: 8*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(29 - 29 - 4*j)*(-3 + 2 + 2).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 6*b + 77. What are the prime factors of z(0)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 4, b: 3}. Give prob of picking 1 a and 2 b.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**3 + 45*j**2 - 37*j - 59. Let v(z) = 4*z**3 - 23*z**2 + 18*z + 30. Let f(g) = -3*t(g) - 5*v(g). Is 18 a factor of f(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13095831 and 0.4?\nAnswer: 5238332.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/a**(-4\/9))\/a*a)\/a)\/(a\/(a\/(a*a**(-1)))))\/(((a*a*(a*a\/(a*a**(2\/19)*a))\/a*a*a)\/a)\/(a*a*a**(-1\/15))))**(11\/3) assuming a is positive.\nAnswer: a**(4543\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/14)\/(9\/(-168)). Which is smaller: f or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (8 + -9 + -5 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*j**3 + 13*j**3 + 29*j**3.\nAnswer: 71*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3 + 3)*(0*z + 0*z + 3*z**3) - 3*z**5 + 6*z**5 - 4*z**5.\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 622*r + 3540*r + 80*r - 255*r + 504*r to the form a*r + z and give a.\nAnswer: 4491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f - 9*f + 109*f - 11*f - 16*f + 22*f.\nAnswer: 50*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m + 1. Let v be (6 - 9\/3)\/(12\/(-8)). Let h(l) = -5*l**2 + 3*l - 3. What is v*h(d) - 6*w(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 232917.2 kilometers?\nAnswer: 232917200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x. Let b be -3 - (16 + -1)*-1. Let t(y) = 3 - b + 3*y + 9. What is u(t(q))?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/21 (c) -0.4 (d) -1 (e) 13.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/87)\/((-150)\/(-180)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w - w - 9*w + 1 + 6*w**2 + 7*w - 2*w in the form z*w + p + b*w**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.55 * -5199.12.\nAnswer: -2859.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*h - 54. Suppose -6*o - 12 = -h*o. Calculate the least common multiple of o and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324*i**3 - 8388*i**2 - 7264*i - 1600.\nAnswer: -4*(i + 25)*(9*i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332 + 0.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/16)\/s**(1\/5)*(s*s**0)**(-8\/11))\/((s**0*s)\/(s\/((s*s**(4\/5))\/s))*((s**(-6)*s*s)\/s)\/(s*s**(-1\/4))) assuming s is positive.\nAnswer: s**(697\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*i - 6*i**4 - 5 - 2*i**3 + 6 as u*i + q*i**4 + z*i**2 + j + d*i**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36\/((-24)\/6)*96\/(-72)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(sqrt(3) + sqrt(12)\/(sqrt(20)\/sqrt(5)) - ((2 + sqrt(108))**2 + sqrt(108))).\nAnswer: 448*sqrt(3) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18018263 is divided by 3603649.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 4*y**2 - 5 + (-2*y + 2*y - 6*y)*(-3*y + y + 0*y).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 61?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11756.\nAnswer: 2, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 2. Let s(u) = -u - 2. Let g(i) = a(i) - 5*s(i). What is g(-17)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/3 + 44*i**3\/3 + 82*i**2\/3 + 40*i\/3.\nAnswer: 2*i*(i + 1)**2*(i + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 120*q + 150. Give b(58).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v - 39. Let w be (-2)\/(-1) + 13 - 20\/(-5). Suppose -w*i = -4*i + 90. Let m be p(i). Solve 18 = -m*l + 3*d, -2*l = -4*d + 9 + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 905*p**2 + 8*p. Let x(w) = -301*w**2 - 3*w. What is -8*x(n) - 3*z(n)?\nAnswer: -307*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 6*o + 26 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 871835 * -33.\nAnswer: -28770555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(209) + (sqrt(209) - (sqrt(209) - (sqrt(209) - -5*sqrt(209)*2) - sqrt(209))))\/(sqrt(77)\/(sqrt(7) + sqrt(7)*2*-6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 7:30 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-371)\/714 - (333\/(-54) + 6)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.82 - 7.31. Let b = d + 0.13. Put 4, b, -4 in decreasing order.\nAnswer: 4, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**8\/56 - 61*h**7\/42 - 3*h**5\/10 - 2*h**4 - h**3\/2 - 5*h**2\/2 + 2*h + 175. What is the third derivative of f(g) wrt g?\nAnswer: 120*g**3 - 3660*g**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*h = -878*h - 672 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278151259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-15)*3\/(-2)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 9*t**2 - 1. Let m be n(-9). What is the remainder when 4 + m + 0 + 3 is divided by ((-6)\/4)\/3*-6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eomqpoommoo. Give prob of picking 1 q and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -1.453023943.\nAnswer: -5.453023943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 30 + -12 + 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 230737, 230734, 230729, 230722, 230713, 230702?\n\"Answer: -j**2 + 230738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12063.581 to the nearest 100.\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*u = 323 - 8683 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5 - 1 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - -2) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 211.2? (a) -2 (b) 1\/4 (c) -1 (d) 1\/42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*q + 1498 = -5*q, 3*x + 878 = 4*q. Let u = 9 - 12. Let n = u - x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4 + 1895*p**3 + 51150*p**2 + 140260*p + 91000 = 0. Calculate p.\nAnswer: -350, -26, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 719 + -694.36. Let z = 24 - f. Round z to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29251.01 nanometers to centimeters.\nAnswer: 0.002925101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u**2 + 8*u + 1. Let l(j) be the third derivative of -j**5\/12 + j**4\/6 - 4*j**2. Let c(n) = -5*l(n) + 2*t(n). Does 16 divide c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**5 + 9*h**4 + 9*h**3 + 3*h + 3. Let g(d) = 7*d**5 + 9*d**4 + 9*d**3 - d**2 + 4*d + 4. Let m(b) = 3*g(b) - 4*u(b). Factor m(z).\nAnswer: -3*z**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2064 - 2076. Let v(r) = r**3 + 13*r**2 + 16*r + 41. Give v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, r: 7, n: 1, h: 1}. What is prob of picking 1 g and 1 r?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - h**2 + 2*h**3 + 2*h**2 - 1 + h**4 to c*h + b*h**4 + k*h**2 + u + m*h**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -20*h**2 + 8*h - 11. Calculate j(4).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w*w**2)\/w)\/w))\/((w\/(w\/(w*w**(-1\/6))))\/w))\/(w**(-20))**44 assuming w is positive.\nAnswer: w**(5281\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:36 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7040 - 207\nAnswer: 6833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103843479?\nAnswer: 3, 34614493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*f = -258*f + 15470. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11032.66694 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 183*m**2. Let s(j) = -12*j**2 + 6*j + 12. Let x(y) = -3*y**2 + y + 2. Let b(k) = s(k) - 6*x(k). What is b(f(i))?\nAnswer: 200934*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**12)**(-27))**39 assuming r is positive.\nAnswer: r**(-12636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -42676105\nAnswer: 3\/42676105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210*n + 97*n - 19*n)*(-15*n + 4*n - 3*n)*(-3*n - 2 + 2).\nAnswer: 12096*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = 2*g, 4*g - 3*g - 2*f + 9 = 0. What are the prime factors of -4*1 - g - -34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 34*s + 52. Let p be d(6). What is the nearest to 1\/5 in 0.3, 9, -1\/4, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1540 + -2491. Round l to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 75 + 47 = 0. Suppose -3*o + c + 2 = 0. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:27 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-42) - (-334 - -325).\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.31 in -4\/7, 0, 132?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)*q\/q**(2\/37)*q**(3\/7)\/((q*(q*q*q*(q\/(q*q**10))\/q)\/q)\/q*q) assuming q is positive.\nAnswer: q**(12658\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in -2\/7, -0.1404, 2, 2\/3, -3\/2, 0.12?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25070 + 61166. Let d = 86733.49 - f. Let p = d + -501. Round p to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = 15. Put 5, q, 1 in decreasing order.\nAnswer: 5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = -8*o + 10. Let r(q) = q + 6. Let m be r(o). Suppose -m*s = -8, -5*h = 3*s - 70 - 381. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2294, -4633, -6970, -9305, -11638?\n\"Answer: d**2 - 2342*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -9. Suppose -b + k*g = -2*g - 1, -2*g = b - 1. Let m = b - -1. Solve -a + m*a = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u - 650*u**3 - 11 + 1301*u**3 - 653*u**3.\nAnswer: -2*u**3 - 34*u - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 0 - (9 + -2). Let h(u) = 3*u + 7. Let n(w) = 4*w + 8. Let r(i) = -3*h(i) + 2*n(i). List the prime factors of r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**3\/6 - 3*o + 40. Let c(y) = 5*y + 5*y - 2*y. Determine d(c(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2165 - 2165. Solve n = -15*i + 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -203*q**4\/4 - 13*q**3\/6 - 50*q**2 - 33*q. Let i be t(-25). Round i to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 12*w + 9. Let j be u(10). Let t = -10 - j. Let v = -5 - -9. What is the nearest to t in 1, 2\/7, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 2.5. Let n = 61 - 64.1. Let t = h + n. What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 27099*f. Let j(x) = -10*x. Calculate j(g(l)).\nAnswer: -270990*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 15093?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**2 + 4*u + 8. Let g(j) = 7*j**2 - 3*j - 6. Let l(o) = -4*g(o) - 3*y(o). Let t = 10 - 6. Let f(d) = t*d - 2*d - 4*d. What is f(l(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8398377 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 12. Let k = 2 + -24. Let x = -9 - k. Is 7 a factor of z(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.187? (a) 0.4 (b) -185 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/5)\/(-2))\/(12*(-16)\/1344)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -370 - -493. Let z = i + -128. Which is the fourth biggest value? (a) 2.4 (b) 0.1 (c) -2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.774 times 2?\nAnswer: 1.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -673*c**2. Let z(h) = -2*h. Give z(d(g)).\nAnswer: 1346*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1506 + 5934. Is n a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 16*c**2 + 6*c - 17. Is b(17) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 23*d - 5. Let n(w) = -4*w**2 + 34*w + 7. Calculate 7*l(o) + 5*n(o).\nAnswer: o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**4 + 2*o**3 + 54*o wrt o.\nAnswer: 36*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18052257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*s - 67, s - 2286 = -i - 2245 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154600 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.711 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 21551*d + 21551*d - 3*d**3 + 46*d**3.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -8*b**3\/3 + 10*b - 5. Find the first derivative of l(h) wrt h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 19*p + 10. List the prime factors of k(11).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -6.5 (b) 7\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + (-4 - (-24 - (5 - 7))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12*u + 2. Let z(l) = -11*l - 3. Let r(n) = 6*c(n) + 7*z(n). What is the first derivative of r(v) wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by (-132)\/(-5) - 7\/((-175)\/(-10)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 60112 = 12*x. What is the highest common divisor of x and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, 30, -4, 1\/10, -359?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 97, 132, 161, 184, 201, 212?\n\"Answer: -3*a**2 + 50*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20 + 0)\/(6 + -5). Suppose -3*i = 2*i - 5*b - v, 0 = 3*i + 4*b - 26. Let x = i + -4. Solve x*z - 5*z - 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**5 - 727*t**4 + 1454*t**4 - 720*t**4 - 211*t wrt t?\nAnswer: -100*t**3 + 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**6\/90 + g**5\/30 - g**4\/36 - 2*g + 5. Let c(n) be the first derivative of y(n). Let c(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1328 and 1992.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -228343732 - -8\nAnswer: -228343724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2907\/2 + 1481. Let r = 25 - k. Which is bigger: r or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29408771 divided by -482111?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.8 and 75173.7.\nAnswer: 75187.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/w)\/((w**(-1\/5)\/w*w)\/w*w)*w**(-3\/2)*w*w**2*(w\/((w*w**(-5)*w)\/w))\/(w\/(w**(-8)*w))*(w\/(w\/w**(-1\/6)))\/(w**(-8)\/w) assuming w is positive.\nAnswer: w**(128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*n**4 + 167*n**4 - 1 - 346*n**4 - 3*n**2 + 2*n to i*n**2 + l*n + w*n**3 + y*n**4 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8 - (-8 - (-17521)\/728)) + 8 and -55\/156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v + 1414448 = -8*v. Does 111 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -487.73589\nAnswer: 488.73589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r**0*r)\/r)\/r)*r**(-1\/6))\/(r\/r**(2\/19)*r\/(r**(1\/10)*r)*r)*((r\/(r\/r**3))\/(r*r*r**2))**(-2\/15) assuming r is positive.\nAnswer: r**(49\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5. Let m = 1.041 + -0.061. Let r = m + 0.02. Put c, 3, r in increasing order.\nAnswer: c, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -883*a**2*v*x - 3*a**2*x**2 - 2*a**2*x + 40*a*v*x**2 + 29*a - x**2 + 10*x wrt v?\nAnswer: -883*a**2*x + 40*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q - 2891 + 779 - 1125 = 0. Calculate the highest common divisor of 559 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70 or -528?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w**4 + 2575*w**3 - 18120*w**2 - 254700*w - 332640 = 0. Calculate w.\nAnswer: -264, -6, -3\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 110 (b) -0.6 (c) -1\/7 (d) -491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-7)*t)\/t*t*t*t**(-3))\/(t**(-2)*t*t\/t**(1\/2)))\/((t**(-2\/9))**41)**(-30) assuming t is positive.\nAnswer: t**(-1595\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16622 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d - 3. Let h(p) = 20*p. What is h(q(m))?\nAnswer: 140*m - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -y - y. Suppose o = 3 - 1. Let t(l) = 3*l**2 + l + 1. Let a be t(o). Calculate the highest common divisor of y and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a. Let j(r) = r. Let d = -2 - 2. Let k be 2\/d - (-11)\/(-2). Let x = -5 - k. Give x*m(g) + 2*j(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -46205*d + 277280. Determine l(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 6. Suppose -m - 5 = 4*t + l, 0 = 4*m + 4*t + 8. Solve -4 = -m*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*a + 395*a + 6*a**3 - 16*a**3.\nAnswer: -10*a**3 + 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 24, -2, 0 in decreasing order.\nAnswer: 24, 3, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.086 - 35.086. Let b = j - -35.0017. What is b rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/10, 19\/4, 0.1, 3\/2, -9, -733?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 107 - 65 - 98 + 17)*(-3*l**3 + 2*l**3 + 3*l**3).\nAnswer: -536*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 4, b: 3, u: 2, p: 6}. Give prob of picking 1 b, 1 u, and 1 p.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1854*p + 3724*p - 1853*p.\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**3\/p*p)*p*(p*p**4\/p)\/p*p*p**(-2\/3)*p\/p**4*((p*p**(-2)\/p)**(19\/4))**(-1\/35) assuming p is positive.\nAnswer: p**(-83\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = c + 2*r, 8*c - 7*c - 32 = -r. Suppose -3*o = o - 20. Solve -3*t - 12 = 0, o*s - 4*t - 3 - c = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 11:34 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4.8 (b) -18 (c) 1\/2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-140) + 8\/(-14)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84)*2 - sqrt(84))*-3 - sqrt(84)) + 6*sqrt(84)*2)\/((sqrt(108) + sqrt(108)*-2)*4).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2. Let a(l) be the second derivative of -39*l**3\/2 - l**2\/2 + 207*l. Calculate x(a(k)).\nAnswer: 54756*k**2 + 936*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(2)*-3 + 3)**2.\nAnswer: -18*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 22 = -2*a, 2*a = 1 + 5. Let c = p - 4. Let d be 2 + 0 + 0\/c. Solve 0 = -3*f - 6, 2*r - d + 0 = 3*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 2*x**2 + 0*x + (-2 + 2 - 2*x)*(3*x + 0*x - 4*x) + 34*x**2 - 279*x + 279*x + 4*x**2 + 0*x**2 - 3*x**2.\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(567))*-4)**2.\nAnswer: -7200*sqrt(7) + 227200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1\/302 (c) -4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 + 63 = 0. Let o be 2\/(-3) - 48\/r. Does 4 divide 28\/12*6\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -383*0.22\nAnswer: -84.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4077*d - 4079*d + 18 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 471*t**4 - 1986*t**3 - 5979*t**2 - 246*t - 21. Let x(n) = 118*n**4 - 496*n**3 - 1495*n**2 - 62*n - 5. Let j(m) = 21*x(m) - 5*y(m). Factor j(s).\nAnswer: 3*s*(s - 6)*(s + 2)*(41*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 62, -3, -2, -2\/7 in decreasing order.\nAnswer: 62, -2\/7, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 0*q - 7*q + (2*q - 3*q + 2*q)*(-5 + 0 + 3) + (-2 - 1 + 1)*((-4 + 4 - 2)*(0*q + 0*q - 2*q) + 75*q + 113*q - 74*q) in the form s + h*q and give h.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 25714*o**2 - 154230*o + 231318.\nAnswer: -2*(o - 12851)*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 499, 1621, 3789, 7351, 12655, 20049?\nAnswer: 29881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pxpppxpppp.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3994081 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/599450 and -31\/839230.\nAnswer: 4196150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -5, -4 in descending order.\nAnswer: 9, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*l**3 - l + 396*l**3 + l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = 0, 116 = h + 3*q + 20. Calculate the remainder when 702 is divided by h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 2*r + 24. Give a(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -223, -444, -679, -934, -1215?\n\"Answer: -l**3 - l**2 - 211*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from txnttxnnsxtxoo?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6678846l?\nAnswer: 667.8846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19883980 and 0.2.\nAnswer: 3976796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71\/4 + -229\/12. Suppose -f = f + 6. Let b = f - -1. Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/(((l\/(l*l**4))\/l)\/l))\/l*l*l*l**(-2\/11)*l**6*l\/(l*l**(2\/3)*l))**24)**(-21) assuming l is positive.\nAnswer: l**(-78456\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 4*h - 3. Let q be m(-2). Let k = 681 - 672. What is the highest common divisor of q and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492298767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124287258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/45 and 74\/4074975.\nAnswer: 4074975","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Convert 37280.06km to nanometers.\nAnswer: 37280060000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3753.053m in kilometers?\nAnswer: 3.753053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795125 is divided by 198781.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (4 - (42 - 13)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - j = 994 - 618, 3*r = -5*j + 248. Let b be 1 + (1 - 1) + 56. Calculate the highest common factor of r and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1204, -249, 706?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 24*v**2 - 11*v + 186. Let p(s) = -23*s**2 + 10*s - 160. What is -6*f(x) - 7*p(x)?\nAnswer: 17*x**2 - 4*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttcqtqcqqqqt. What is prob of sequence cqqc?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10561*a + 2*a**2 + 10561*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 17*j + 30. Let o(s) = 13*s + 32. Let q(n) = 6*c(n) - 7*o(n). What is q(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 8. Let d(s) = -5*s**2 + 12*s + 6. Let l(w) = 11*w**2 - 25*w - 13. Let m(i) = 9*d(i) + 4*l(i). Let j be m(u). Is 2 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - t)*(35*t - 4174 + 2084 + 2090).\nAnswer: 70*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*t - 8*t. What are the prime factors of (4 - (-88 - 1)) + t*-3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54? (a) -10 (b) -0.3 (c) -0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 697590, 1395180, 2092770, 2790360, 3487950, 4185540?\n\"Answer: 697590*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42212, -42215, -42216, -42209, -42188, -42147, -42080?\nAnswer: -41981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*w + 24, -4 = 2*w - 0*w - 4*s. Solve w*i + 16 = -4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppge when four letters picked without replacement from {p: 5, j: 2, g: 3, e: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 4:46 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 + 9*r + 11. What is j(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240821 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(360\/6)*(3\/(-3))\/(-1).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*j = -u, -2*j = -5*u + 21. Find the second derivative of 7*o - o**2 - u*o**2 + 5*o**2 + o**2 wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 336 = 6*t. Suppose -t = -0*d - 7*d. Suppose 21*h - d*h = 0. Solve y - 1 - 3 = h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -465.8.\nAnswer: -55.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 10:11 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + g**4 - 2*g**2 - 6*g**4 - 2*g**3 + 0*g**4 + 6*g**4 as s*g**4 + y*g**2 + w + l*g**3 + z*g and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -0.12, -2\/11, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-4) - 3)\/((-30)\/360)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 11675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*n**5 - 4*n**3 - 642*n**2?\nAnswer: -3600*n**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 147403 and 2571.\nAnswer: 149974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwf when three letters picked without replacement from {s: 4, f: 2, w: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 t when four letters picked without replacement from {t: 2, c: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -281 + 2*a - 3*a - 161 - 1017 + (-2 + 1 + 3)*(-3*a + 0*a + 2*a).\nAnswer: -3*a - 1459","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 3:53 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.225 - 19507530.\nAnswer: -19507529.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 2. Let g(k) = -7*k + 4. Give -2*g(j) - 5*h(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 6*d**2 - 2*d + 26. Let n be w(-5). Suppose -m + n = 5. Solve 2*y = 2*q + m, y - 3 = 4*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (7 + 4))\/(1\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p = -1723 + 1685 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 z when three letters picked without replacement from {z: 7, u: 9}.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2213113320 (base 4) in base 2?\nAnswer: -10100111010111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 9*h - 10. Suppose -655 = -b - 3*b - 563. What is the remainder when i(-8) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*z - 12*z - 10*r - 5, -15 + 5 = 4*z - r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/2*-15. Let a(h) = -7*h. Let u be a(c). Find the common denominator of ((-12)\/(-40))\/((-2)\/u) and -19\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**26*c**9\/c assuming c is positive.\nAnswer: c**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 8. What is the smallest common multiple of k(10) and 284?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/40 - z**5\/6 + 7*z**4\/24 + 26*z**2 - 1. Let p(n) = -n**3 + 3*n**2 - 2*n. Calculate -4*k(s) - 14*p(s).\nAnswer: 2*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051753 rounded to four decimal places?\nAnswer: 0.0518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, x: 4}. What is prob of sequence xxx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(88)*2*6 - (sqrt(88) + (sqrt(88) - 1*2*sqrt(88)) + sqrt(88)))\/(5*(sqrt(72) - sqrt(8)) + sqrt(8) + sqrt(96)\/sqrt(48))*4.\nAnswer: 528*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*a, -5*s - 2*a = -446 - 384. Suppose -5*h - s = -q, 5 = -7*h + 2*h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.049, 2\/9, -10, 54753, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.143 + 100.857. Let x = s + -189. Let r = x - -88.00081. Round r to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 13. Let m = -1\/3244 - -28389\/12976. Find the common denominator of m and 127\/j - -2*6\/(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01287 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 62?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 4*t - 22. Suppose 0*x - 4*v = x - 13, 4*x - 41 = -5*v. Suppose 0 = w + x - t. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.1 + 22.7. Let n = -2.95 + -0.05. Sort -0.11, f, 0.1, n in decreasing order.\nAnswer: 0.1, -0.11, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 13466?\nAnswer: 26932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 1. Let d(a) = -2*a - 4. What is -d(p) + 2*l(p)?\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from foofof?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0112 - 200.0112. Let o = -233 - k. Which is the third biggest value? (a) 0.2 (b) o (c) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217.9033 - 149.9072. Let x = 68 - q. What is x rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1*p**(2\/9)*p)\/(p*p\/p**(-1)*p)**39)\/((p*(p\/((p*p**(-1\/2)*p*p)\/p)*p*p)\/p)\/(p**(-1\/7)*p)*p*p**5*p*p**(1\/5)) assuming p is positive.\nAnswer: p**(-101821\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 - 78*z**2 + 5*z - 630. What is p(39)?\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 5*t**2 - 4*t + 4. Let h be f(4). Suppose -4*a + 4*c = 71 + 49, h*a - 5*c + 120 = 0. Let b = a + 152\/5. Is b < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 9:26 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(272))*-1 + 4)**2*5.\nAnswer: -120*sqrt(17) + 1405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i + 21*i - 51 = -19*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose 10 = v + l*m, 4*m - 20 - 8 = -5*v. Suppose 124*r - 162 = 2*r - 40*r. Solve v*o - r = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001100000010110111 - 0?\nAnswer: 10110001100000010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, 2, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 26*i**2. Let p(s) = 3665*s. Calculate p(z(g)).\nAnswer: 95290*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -42*j**2 + 165*j + 5. Let s(z) = 34*z**2 - 166*z - 5. Calculate 4*b(q) + 5*s(q).\nAnswer: 2*q**2 - 170*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 62*t + 914. Let a be u(-37). Sort -4, -1, -5, a in ascending order.\nAnswer: a, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96411 is divided by 1483.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w. Let u(g) be the third derivative of 11*g**5\/60 + 22*g**2. Give q(u(s)).\nAnswer: -44*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10024*i**2 + 14058*i**2 + 6251*i**2 as t*i**2 + m + g*i and give t.\nAnswer: 30333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 16 = -3*v, 2*v - 10 = -5*s + 2. Find the second derivative of -11*r + 4*r**5 + 7*r - s*r wrt r.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 5)*(23*m - 56*m - 1 - 71*m) as u*m + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.76.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -21 + -35 + 20.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(700) - (0 + sqrt(700))) + sqrt(700))**2.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -86, -142, -220, -326, -466, -646?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24563, 24566, 24569, 24572, 24575?\n\"Answer: 3*f + 24560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 - (-11800)\/(-3850). Let f = w - -40\/11. Suppose f*j**2 + 18\/7 + 12\/7*j = 0. What is j?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.38 + 29.38. Let d be 0 - 2*3\/8. Which is greater: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 13*g - 8. Calculate k(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from yyyyxyxyxx.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 5786*a + 4526*a + 142 - 73.\nAnswer: 10312*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 1 = 3*r + 30, 0 = -4*r + 3*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24510 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 233*o + 47. What is the units digit of q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g + 5*g - 64. Suppose g*a - 159 = -5*i, -6*a - 20 = -a. Calculate the smallest common multiple of i and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010988513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2713 is divided by 143.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -0.10851888\nAnswer: 1.30222656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28794259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 10063*-30\nAnswer: -301890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000111010111 (base 2) in base 9?\nAnswer: -50532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c = 2*k - 17*c + 8, -5*c + 15 = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 259*q**3 + 632*q**2 - 4*q**5 + 108 + 8*q**4 + 174*q**3 + 84*q**4 - 25*q**3 + 428*q = 0?\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.2, -4, -2\/3, 0.4, -126 in ascending order.\nAnswer: -126, -4, -1, -2\/3, 0.4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42, -3, 6, -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1562, 1715, 1966, 2315, 2762, 3307, 3950?\n\"Answer: 49*p**2 + 6*p + 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/39 or 1?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((6\/18)\/((-1)\/2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 9.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 76 = -2*q, 3*n = -2*n - 5*q + 55. Calculate the lowest common multiple of n and 20\/15*15 + (-7 - 6\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668*o**2 - 2 + 2 + 210*o**2.\nAnswer: -458*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1 - (-1)\/(-1)). Suppose w + w - 48 = d. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 54\/6)*(-4)\/6. What is the tens digit of (-13 - (-7284)\/84)\/(p\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.4. Let r = -16.9 + 13.9. Sort r, -0.03, c.\nAnswer: r, -0.03, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29088 times 251?\nAnswer: 73.01088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 48. Let k = -2.6 - -1.6. What is the closest to 0.1 in 3, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*m = -813 + 1170 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 9624\nAnswer: -5\/9624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -8, 2, 18?\n\"Answer: 3*p**2 - 5*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-282)\/658 - (-3)\/7. Let g(f) be the first derivative of 2*f**2 - 9 + 0*f - 9\/4*f**4 + u*f**3. Find the second derivative of g(q) wrt q.\nAnswer: -54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3218 a factor of 20907346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvt when three letters picked without replacement from bvvvtvtb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55*17\/1122)\/(25\/405).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 19.03496 kilometers?\nAnswer: 19034960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18320834.\nAnswer: 2, 7, 23, 56897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d + 6 = 0. Let q(k) = k**d + 15*k - 11*k - 4*k. Let j(m) = -8*m**2. Determine j(q(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.21 + -147.01. Round p to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5)*2\/3 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (380646\/(-9540) - 2\/20)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802 = -47*j + 285 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2 + 2*k + 4. Let i = 10 - 7. Let j be q(i). Let p = j - 23. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20207097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2989 is divided by 125?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0)**(-33))**(-4))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168 (base 15) to base 4.\nAnswer: -11003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*g + 1158 = 443 - 429 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {q: 1, d: 4, o: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45 - 4 - 0 - 4. Let f = y - 29. Let g be -6*4*3\/f. Which is greater: g or -11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, p: 1, b: 5}. What is prob of sequence prrb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (360\/(-14))\/(90\/(-840))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-six fifths of a day?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) 34\/3 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:01 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -16*z**8\/7 + 5*z**4\/4 - 2*z**2 + 13*z - 3. What is the third derivative of g(a) wrt a?\nAnswer: -15360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + q + 1287 = 0, 5*r - 5*q = r + 1299. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 0, 2*n + 6*t - 2*t - 10 = 0. Let m = 5.311 - -0.099. Let y = 0.41 - m. What is the second smallest value in y, 2, 2\/3, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17427444 (base 8) to base 11\nAnswer: 2333919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 299983098?\nAnswer: 299983095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 1. Let f(r) = -2. Give d(g) - f(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 0*d - 8 - 9\/2*d**2 - 1\/4*d**4 + 0*d**3. What is the second derivative of l(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 22*s**3 - 3*s**2 + 3*s - 1. Let g be p(1). Let k = g + -16. Suppose 2*c - c = 13. Solve 2*z = -a + c, -17 = a - k*a - z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1836, 0.29, 1, -15.55?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110022089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 37\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13195067 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: -9468 divided by 1578\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 35, -0.7?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2.92. Let d = z + 1.92. Which is the biggest value? (a) d (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2856 + 7396 = 10*q. Suppose -2*r + q = n, -6*r = -r + 5*n - 1125. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 88.931 and 54549513.\nAnswer: 54549601.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 + -153.4. Let z = -20 - i. Which is the smallest value? (a) 1\/6 (b) -0.05 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = 387*o - 384*o + 7*g, 5*o = -g - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z. Let s(q) = -24*q - 90. Let d(k) = 6*k + 20. Let v(y) = 18*d(y) + 4*s(y). Determine -9*u(m) + 2*v(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1686 - -1776. Solve -4*u = 6*u + h for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*v**5 - 3135*v**4 - 59310*v**3 + 70065*v**2 + 2267190*v - 262440 = 0 for v.\nAnswer: -9, 3\/26, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6359 - -6361. Let h(l) = l**2 + 4*l - 8. Let i be h(-6). Suppose 0 = 3*j - 6, i*j - 3 - 5 = 3*g. Sort -6, k, g, -5 in descending order.\nAnswer: k, g, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -159, -103, -3, 147, 353, 621, 957?\n\"Answer: k**3 + 16*k**2 + k - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1620)\/(-486))\/(((-6)\/(-14))\/3)*-3?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 90081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 721937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*2\/20*5*1488\/(-651)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*m + 39*m - 177 + 62 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493736195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 529 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 10*c**2 - 18*c + 83. Let z be w(9). Let u(y) = 13*y - 21. Give u(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-10) - (-27)\/6. Let b(r) = 322*r**2 + 13*r - 7. Is b(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400 is divided by ((-450)\/(-275))\/(6\/44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 3. Let u(n) = -2*n + 4. Let c(g) = -2*u(g) - 3*y(g). Let i(q) be the third derivative of q**4\/24 + q**3\/6 + q**2. What is -5*c(b) + 4*i(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.007 + -28. Let p = -3.493 - o. Is p < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/46 + 1288\/(-9522).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.3, -1, -0.5, 11342 in increasing order.\nAnswer: -1, -0.5, 0.1, 0.3, 11342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39667736 is divided by 20671?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 978686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 287 + -498. Let h = 20 - k. What is the highest common factor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*2.35946\nAnswer: 0.235946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6736 divided by 2\nAnswer: 3368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 6 = b, -3363*b - 382 = 2*k - 3743*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3\/15 - 151414*o**2\/15 + 50472*o\/5 = 0.\nAnswer: -75708, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-40)\/(-6))*-39. Suppose 0 = -6*o + 10*o - i. Calculate the remainder when o is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1151\/12 + -96. Which is the second smallest value? (a) 2 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -4*f**5\/15 - f**4\/3 + 2*f**3\/9 - 17*f. Factor h(k).\nAnswer: -4*k*(k + 1)*(4*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 15*l = 5*x + 75, 5*x + 105 = -10*l for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 1 (b) -3 (c) -1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 175 = 3*x, -2*x + x - 5*r + 45 = 0. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 9. Let w = s - -8. Let q = -44.8 + 45. Which is the third smallest value? (a) q (b) w (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, -4, 10333?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c + c - 15*c**4 - 3*c**4 + 0*c wrt c.\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9752\/(-90)*3\/(-140). Let s = 2\/175 + t. Factor -s*h - 2\/3*h**2 + 2\/3 + 7\/3*h**3.\nAnswer: (h - 1)*(h + 1)*(7*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*f + 5070010, 4*d - f - 4043927 = 2716078. What is d rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 17 = 3*x, -2*o = -o + 3*x - 10. Suppose -o*b + 6*b = -3. Suppose -2*l = -3*k + 15, 4 + 11 = 4*k - l. Solve -w + b = -q, 3 = -k*q - q - 5*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*i**3 - 87769*a*i**2 - 194*a*i - 28*a + 36*i**3 - 16*i + 70 wrt i.\nAnswer: -12*a*i - 175538*a + 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2978 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 6877675776.24.\nAnswer: -6877675776.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-19 - (-17 - -8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*h + 3*h - 5*h + (1 - 1 - 2)*(-2*h - 1 + 1).\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/2 + -4. Which is the third biggest value? (a) -0.02 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36227 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 7*r - 3*r)*(-2*r**4 + 2 - 2).\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -43673.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*((-324)\/18)\/18\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -cc3df (base 16) to base 12\nAnswer: -344167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*((l - 2 + 2)*(0*l**2 + 0*l**2 + l**2) - l**3 - l**3 + 0*l**3 + 0*l**3 - 2*l**3 + 6*l**3 + l**2 + l**3 - l**2 - 2*l**3 - l**2 + l**2).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2615 + 3882. What is the remainder when o is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 7. Let i be q(-5). What is the third derivative of -5*r**4 + 7*r**3 + r**2 - 7*r**i + 3*r**2 wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 13. Calculate the remainder when k is divided by (34\/17)\/((-2)\/(-15)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Let u(a) = 67*a**2 - 37*a**2 - 50*a**2. What is u(z(d))?\nAnswer: -80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -75746?\nAnswer: -75746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48012, 48037, 48080, 48141, 48220?\nAnswer: 48317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u = 0, 1 = -p + 4*u. Let d(c) = 6*c**3 + 30*c**2 - 84*c - 9. Let x(v) = v**3 - v - 1. Let h(g) = p*d(g) + 9*x(g). Determine w so that h(w) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 10*k + 18. Determine q(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 5 = 26*a + 29 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.16 - -17.48. What is t rounded to 1 dp?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -85*k. Let o be t(-2). Let g = 290 - o. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.4, -3176, -3\/20 in increasing order.\nAnswer: -3176, -3\/20, 9.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 26\/1127371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -2*i - 264. Let j = i + -42. What is the second derivative of 4*m + 11*m**2 + 7*m**j + m wrt m?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 873?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -112983.\nAnswer: -112983.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 12. Let t(n) = -4*n**3 - 5*n**2 + 2*n + 13. Let y be t(-2). Suppose -82 = -y*z + 86. Determine f(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 15*l + 5. Suppose 0 = 7*w + l - 43. Let h(b) = -b**2 - 6*b - 8. Let s(z) = 3*z**2 + 17*z + 23. Determine w*s(k) + 17*h(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9731 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 3565404?\nAnswer: 3565403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -190. Let z = b - 24. Let y = z - -135. What is the highest common divisor of y and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -524102618, -524102614, -524102608, -524102600, -524102590, -524102578?\nAnswer: -524102564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 34*u**2 + 39*u + 1. Give j(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8526*l - 8576*l + 650 = 0 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -32*t - 8*t + 42*t - 4*t**2 - 4 + 5. Let b(w) = -8*w**2 + 4*w + 2. What is 2*b(q) - 5*f(q)?\nAnswer: 4*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f + 20. Let z = 16 + f. Let b be ((-21)\/12*4488\/(-255))\/((-4)\/(-10)). Calculate the greatest common divisor of b and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 62 = -3238*k + 3243*k, k + 8 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 6\/7 (b) 4\/11 (c) 2404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - w + 3 = 0, 131*h - 3*w = 129*h + 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(1900) + sqrt(1900))*2.\nAnswer: 8 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47\/1186 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from bbhbzbbbbynbbln?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-3)*(-4)\/(-16)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Let l(z) = -4*z**3 - z + 2. Let o be l(2). Let j = 225\/7 + o. What is the third biggest value in t, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:05 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1) + (63 - 1) - 3. Let u = -47 + z. What is the least common multiple of 0 + 0 + 17 + -1 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -23*g**2. Let t(o) be the second derivative of 0 + 1\/3*o**3 + 0*o**2 + 44*o. Give i(t(f)).\nAnswer: -92*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 24*c**3 - 534*c**2 + 988*c - 480.\nAnswer: 2*(c - 10)*(c - 1)**2*(c + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 2. Let c be l(2). Calculate the greatest common factor of 6 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17342a8 (base 11) to base 15.\nAnswer: -3d3985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 624, 9, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4860.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**5\/20 + l**3\/6 + 3*l**2\/2 - 2*l + 1. Let o(c) be the first derivative of i(c). What is the units digit of o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*k**2 - 135 + 135 to the form z*k + s + r*k**2 and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*d + 101*d - 130075 = 0. What are the prime factors of d?\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -1061*b**6\/40 + 39*b**5\/20 - b**4\/12 + b**3\/2 + 2*b**2 + 2*b - 74. What is the third derivative of y(c) wrt c?\nAnswer: -19098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/496321?\nAnswer: -4\/496321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*v = 15, -n = 3*v + 7 - 9. Solve 3*r = 3*i, 5*r - 1 = i - n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741 times -0.178?\nAnswer: -309.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 58.96 and -25.903.\nAnswer: 33.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.297828 + 12.298438. Let t = q + -12. What is t rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 + -23 + 163 + (-112 - 20).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1604*o + 88826. Calculate d(56).\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115185 or -114959?\nAnswer: -114959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**2 + 2630210*d + 23672295 = 0.\nAnswer: -9, 526051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -8954, 947?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 2*h**2 + 3*h + h**3 + 0*h. Let m(q) = -87*q - 730*q**3 - 9*q**2 + 83*q + 725*q**3. Calculate -2*m(f) - 9*p(f).\nAnswer: f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.09502 years in centuries?\nAnswer: 0.7309502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = i + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 137545 times 7?\nAnswer: 962815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -1258, -4225, -10002, -19525?\nAnswer: -33730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 4:24 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - (-20)\/(-5))*2\/321. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/33))**(7\/10)*c**12*c**(-17) assuming c is positive.\nAnswer: c**(-1433\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**7\/630 - z**6\/180 - z**5\/60 + z**4\/9 - 2*z**3\/9 - 77*z**2 - 13*z. Suppose a(n) = 0. What is n?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16870150 and 2024418?\nAnswer: 50610450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**3 - 78*a**2 + 1497*a - 17676. Give d(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c. Suppose 2*l + 4 = 4*x - 2, c = 2*x + 5*l - 33. Suppose f = x*f + 15. Sort 5, 1, f in decreasing order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*h - 294 = -130*h. Suppose 2*k - h = i, i + 12 - 11 = 0. Suppose -4 = -5*x + 6. Solve -2*z - x = k*z - 3*y, -3*y = z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5 - -5.49999876. Round j to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2\/2 + 45847*k\/2 - 1007666 = 0.\nAnswer: 44, 45803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 7. Determine z(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:32 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1701 divided by -390.\nAnswer: -567\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 39, 20\/201, 0.3?\nAnswer: 20\/201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28.0622 millilitres?\nAnswer: 0.0280622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4 - 21. Let p be (-3 + 38\/14)*-7. Let y be (-1 - -2) + p - 0. Solve s + 5*f + 17 = -y*s, -5*s = -a*f - 35 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**3 + 3*l**2 + 23281*l - 1503297?\nAnswer: 6*l**2 + 6*l + 23281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.53406 - -0.5\nAnswer: -0.03406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34885 (base 9) to base 6.\nAnswer: -255552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8706, 9024, 9598, 10464, 11658?\n\"Answer: 6*x**3 + 92*x**2 + 8608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 5826790*v**2\/7 - 4243908992336*v\/7 + 38195652902472\/7.\nAnswer: -2*(v - 9)*(v + 1456702)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 48521.142?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12105.\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*o - 8, 4*q - 3*o - 1 = 4. Suppose 26 = -4*y + 6. Sort y, q, 4 in decreasing order.\nAnswer: 4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zppzzppzpu. What is prob of sequence zupp?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 56 = -684. Calculate the highest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0947646447 minus -0.2?\nAnswer: 0.2947646447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 208\/36 - 2\/(-9). Find the third derivative of -3*c**2 + 3*c**q + 4*c**2 - 5*c**6 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 300 = -5*s - a, -5*s - a = -276. Suppose q + 3*q = s. Suppose l - 4*i - 6 = 2, q = 3*l - 2*i. Solve -h = l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/2 - 3*t**3\/2 + 15*t**2\/2 - 9*t\/2.\nAnswer: -3*t*(t - 1)**2*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -53, -127, -271, -509, -865?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*p + 760232 + 1540572 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 0.3, 24, -64\/831?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617224533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 58\/(-435) - (-647)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1698588267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 62 + 2418 = 147*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 72. Let i(c) = -c**3 + 5*c**2 + 6*c - 9. Let o be i(6). Let t be (-3)\/(o\/(-12)) - -1*29. Let w be a(t). Solve -6 = w*q - 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*f + 12*f + 53*f - 764 + 2968 = 0 for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-86)\/(-3) - 2\/3. Suppose 3*n - o = -n. Calculate the least common multiple of 2 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((9\/(-3))\/12)\/((-23)\/46))\/((-4998)\/(-18564))?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*(((-1696)\/(-120))\/2 + -7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71016 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3429 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 37. Let r(a) = 5*a**2 - 2150*a - 222. Let q(m) = 6*p(m) + r(m). Solve q(l) = 0 for l.\nAnswer: 0, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) 5 (c) 18947 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*s + 3 - 3)*(-1 + 1 - 2) + s + 4*s - 3*s)*(s**2 + 2*s**2 - s**2 + 2*s**2 + 3*s**2 - 6*s**2 + (s + 0*s - 3*s)*(s + 0 + 0) - 3*s**2 + 2*s**2 - s**2).\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 99. Suppose -5*c + 15 + y = 5*m, -70 = -4*m + 3*c. What is the greatest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19300 rounded to the nearest one hundred?\nAnswer: -19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3194, -6387, -9580, -12773, -15966, -19159?\n\"Answer: -3193*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/120 - 3*y**5\/20 + y**4\/12 - 5*y**3\/3 - y**2. Let z be g(9). Suppose 4*j - z = -0*j. Does 2 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*n - 7*k - 2271, -8*n + 2*k - 6070 = 0. Let y = -98 - n. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 47, -3\/4?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 28 = 228. Suppose -113 = -2*q + 3. Let o = -30 + q. Calculate the remainder when k is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1, 952, 3.\nAnswer: -5, -4, -1, 3, 952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15046 - -15047. Sort 75, p, -3 in decreasing order.\nAnswer: 75, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73369 greater than 73368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91058 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1006)\/(-240) + (-3)\/24 and 41\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 120 = -2*t, -g - 3*g + 4*t = -96. Suppose 0 = 4*s + 8 - g. Suppose s*n = z + 31, 0*n - 3*n = -2*z - 22. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17480, 17472, 17452, 17414, 17352?\nAnswer: 17260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q + q + 0*q)*(2 + 1 - 1) - 7*q - 12*q + 3*q)*(q**2 + 0*q**2 + q**2).\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**(2\/5)))**(2\/83)*(q**(2\/3))**28 assuming q is positive.\nAnswer: q**(23258\/1245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/448 and 17\/1162196?\nAnswer: 18595136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:13 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6065)\/(-3) + 2\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -2*o - 5*g, -3*g - 37671 = -4*o - 37672 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**6*n\/(n*n**2*n)*n**(-4)*n*((n\/n**(-3\/5))\/n)\/n*n assuming n is positive.\nAnswer: n**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + 0.2. Let m = -3.6 - k. Let i be (-4)\/(-1) - ((-17)\/(-3) - 2). Do m and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 738838, 738836, 738834, 738832, 738830?\nAnswer: 738828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2506450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1107418 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 5*o**2 - 2*o - 1. Let t be v(-5). Suppose -p + 11 = -t. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/5158612 and -47\/22?\nAnswer: 56744732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*q**2 - 36*q**2 + 10*q**2)*(3*q**3 - 3 + 3) + 3*q**5 - 22*q**4 + 22*q**4.\nAnswer: 276*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -1. Is z <= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 divided by 191?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(684) + 0))**2*-4*-1.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 11:59 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (924\/(-21))\/(24\/12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*k + (-1 + 1 + 1)*(3*k + 5 - 5) - k + k + 3*k + 9*k - k + 0*k as b + y*k and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2230.\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 55.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b + 55. Let d be c(8). Let l be ((-3)\/(-7) - (-19)\/21)*d. What is the derivative of a - l + a - 15*a wrt a?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-3 + 2))\/(3\/(-3)). Let m = 0 - 0. What is the nearest to t in -0.4, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54829 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 93033200 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in 0.4, 1\/7, 9, 1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -11, -1030?\nAnswer: -1030","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -1 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 18840*v**4 - 113096*v**3 + 150828*v**2 + 113094*v - 169668 = 0.\nAnswer: -9426, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhn when three letters picked without replacement from {n: 13, h: 5}.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2 = -n - 3, p - 3*n - 15 = 0. Suppose p = 11*t - 22 - 0. Solve 6 = -4*u + t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7400 divided by -2.\nAnswer: -3700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**3\/3 + 11*q**2\/2 - q. What is the units digit of h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9868 is divided by 267?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 57*p - 972. Let d be q(14). Solve 33*f - 33 = d*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*q + 580*q + 2 - 230*q.\nAnswer: 684*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5998020?\nAnswer: 2, 3, 5, 7, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 18*p + 6. Calculate z(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3*v + 8)*(-94*v**2 + 29*v**2 - 20*v**2 - 63*v**2).\nAnswer: 444*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3625588t in micrograms?\nAnswer: 362558800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -21056\/17 at most -1239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**(-5\/11))**(-10\/9) assuming o is positive.\nAnswer: o**(-100\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3067 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = n. Find o such that -2*o**3 + n*o + 0*o**4 + o**4 - 3*o**2 + 2*o**2 - 10*o = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 - 26*r + 8. Let f be w(-6). Let p = -17 + f. Solve -3 = -p*l + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y - 6. Let r be g(-5). Let a(c) = 5*c**3 - 91*c**2 + 23*c + 43. Let n be a(18). What is the greatest common divisor of n and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5 - 38\/(-70). Let v = -3812 + 15137\/4. Let f = -28 - v. Which is the nearest to 0.2? (a) x (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -6. Let c be (-2)\/(-5) - w\/5. Is ((-1)\/c)\/(2\/84) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 85. Let l = q - 43. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - -3*(sqrt(272) + 3))**2 + 3)*6 + -5 + 2.\nAnswer: 1728*sqrt(17) + 26613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 2*l)*(14*l - 81 + 81)*(-1 - 5 + 4)*(-3 - 7 + 1).\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -151 and -237658\/1581 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 = -4*l + 306. Let b = -1422 + 1311. Let f = b + l. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 4 (c) -0.981 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(208) + (-4*sqrt(52)\/sqrt(4))**2.\nAnswer: 4*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*d - 67, -5*o + 24 = -o - 5*d. Let p(t) = 3*t**2 + 8*t - 5. Let f(u) = 11*u**2 + 33*u - 20. Let k(a) = 4*f(a) - 15*p(a). Calculate k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 2336*x**3 - 511512*x**2 + 49773152*x - 1815952996.\nAnswer: -4*(x - 149)**2*(x - 143)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**2 - 44*j + 65. Let g be d(-9). Solve 173*m + g = 181*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7194 is divided by 2236?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/1 + (-105)\/(-7). Suppose -25 = -5*c, 2*c = -s*b + 24*b - 100169. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 16. Let p be o(10). Solve 0 = 3*a + p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m. Let r be 4\/(-30)*3*-5. Let y(w) = -3*w**r + w**2 + w**2. Give q(y(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -167*d**2 - 203*d**2 + 851*d**2 + 545*d**2 - 2364 wrt d?\nAnswer: 2052*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (4 - 5 - (-15 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5043*i - 9203*i + 1540*i = 330356 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 20*i**2 - 4*i - 2. Let b be x(-1). What is the second derivative of -13*z**3 - 3*z**2 + b*z + 10*z - 22*z + 27*z wrt z?\nAnswer: -78*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**3 + 29*d**2 + 31*d - 64. Let c(n) = n**3 + n**2 - n. Let x(l) = c(l) - t(l). Find z, given that x(z) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gigiiigggiii. What is prob of sequence iggi?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m\/m**(10\/7))\/m)\/m**(-7\/3))**(-7))**(-17\/3) assuming m is positive.\nAnswer: m**(680\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*(sqrt(7) + 1*sqrt(343) + sqrt(28)*-1))**2.\nAnswer: -5040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574274 to the power of 1\/2, to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 5*v**2 - 3*v**2)*(-1 + 1 - v) - 2*v + 2*v - v**3 - 7*v**3 + 2*v**3 + 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8316 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5707826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {f: 3, z: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 171812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, g: 3, x: 4}. What is prob of picking 1 g and 3 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70099519467355 + -70099486986461.000007. Let g = 32480880 - n. Let z = -14 - g. What is z rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 - l**5 + 3*l**4 + (3*l**3 + 2*l**3 - 4*l**3)*(-l**2 - 2*l**2 + l**2) + 0*l**3 + 0*l**3 + l**5 - 35*l**4 + 35*l**4 - 6*l**5.\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**3 - 2*y**2 + 6*y - 2. Let o(q) = q**3 + q**2 - q + 1. Suppose 0 = j + 5*d - 13, 2 = j + 3*d - 5. Give j*o(i) - k(i).\nAnswer: 3*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505868139 to the power of 1\/2, to the nearest integer?\nAnswer: 38806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541382, -1082392, -1623388, -2164364, -2705314, -3246232, -3787112, -4327948?\nAnswer: -4868734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 14, 1\/4, 2, 799?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - c - 3, -3*i - 12 = 5*c. Let r(h) = 15*h - 2. Calculate r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 12 + 9 = 4*v, 37 = 5*p + 3*v. Suppose -t + 15 = 4*y, p*y + 4*t = 4*y. Solve y*u + 8 = -4*b, 2*b = 5*u - 4*u - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333 (base 7) to base 15.\nAnswer: -3c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*s + 17 = 6*x, 3*s = 4*x + 7. Let l(q) = q**3 - 3*q**2 + 4*q - 2. Let t be l(x). Solve 4 + t = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 11*f**2 - 2*f - 118. Let p be h(-10). What is the highest common factor of p and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750 - 587 = -o - 2*z, -5*o + 8*z + 6775 = 0. Calculate the remainder when o is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 157*k**2 - 9*k - 14. Does 11 divide o(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2832 and 6?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6*(-7)\/(-357) + 6 + 1813975\/85?\nAnswer: 21347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.797 - 3019.203. Let f = h - -3029.00015. Let s = f - 7. What is s rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 6, z: 5, s: 2, d: 1}. What is prob of sequence zz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000142441887 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 (base 6) in base 11?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v*v\/(v*v\/(v\/((v*v**(-1)*v)\/v))*v)*v*v\/(v\/((v\/v**(-5))\/v)) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 15*p + 38. Let i be (-448)\/147*6 - 2\/(-7). Determine c(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2060312?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3352561*u**2\/5 - 51268*u - 980.\nAnswer: -(1831*u + 70)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 48 - 39 - 11*r - 10. Determine w(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(3\/8)\/d)*d**(1\/7)\/d)**(-37) assuming d is positive.\nAnswer: d**(-1591\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -55904.7 times -0.1?\nAnswer: 5590.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.817 - 0.183. Is -2\/833 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2468*v**2 - 10*v - 78. Let k(n) = n. Calculate k(w(o)).\nAnswer: -2468*o**2 - 10*o - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2 + j. Let s be f(-1). Suppose s*a = -5*a + 765. What are the prime factors of a?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**7\/168 + m**5\/6 + 5*m**4\/8 - 317*m**3\/3 - 99. Let k(n) be the third derivative of c(n). Differentiate k(h) wrt h.\nAnswer: 15*h**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239391, 478785, 718181, 957579?\nAnswer: 1196979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, q: 1, z: 7, p: 8, v: 1}. Give prob of picking 2 z, 1 g, and 1 p.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let w be (-2)\/(-3) + y\/9. Suppose w = h - 1. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4\/3 + 646*f**3\/3 - 95593*f**2\/3 - 940576*f - 6359808 = 0.\nAnswer: -13, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*f + 3 = -5, 0 = -5*f + 10. Suppose -47 + 182 = -9*p. Let u = 17 + p. Which is the closest to u? (a) h (b) 3\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 75. Suppose 3*a = m*i + 14 - 2, -i = 2*a + 3. Suppose -3*k - 58 + 55 = a. Which is greater: -2\/127 or k?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s = 2*h - 1932, 3866 = 2*s + 2*h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657025970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0 + 4*q**2 - 3*q - 1\/3*q**3 - 1\/12*q**4. Let w(y) = 0. Calculate y.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253884?\nAnswer: 2, 313471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 65 = 2*b. Suppose -5*t + 0*q = b*q - 430, 3*q = 5*t - 438. Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 4*v - 3. Let q be b(-3). Suppose 3*t + 4 - 13 = q. Find the second derivative of d**3 - d**3 + d**t - 2*d wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26b326b (base 12) to base 11.\nAnswer: 4389098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*1 + 1 - 3*2*sqrt(19)) + (0 + 1 + (-1 + sqrt(19) - sqrt(19)))*1.\nAnswer: -5*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**5\/12 - 35*y**4\/12 + 55*y**3\/2 + 1191*y**2. Let b(n) = 0. Calculate n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 166*k - 4472. Determine m(30).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -5*p**5\/108 + 245*p**4\/108 - 2401*p**3\/54 + 668*p**2. Factor d(f).\nAnswer: -(5*f - 49)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13256 (base 8) to base 12.\nAnswer: 343a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/120? (a) 1\/2 (b) 1 (c) 2.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -90. Sort l, -4, 0 in decreasing order.\nAnswer: 0, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2984*y**2. Let q(x) = 2*x**2. Give q(b(s)).\nAnswer: 17808512*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 97*x - 94*x - 6, -3*t - 6 = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-6))\/(79 - 270688\/3432)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248.189 centuries in millennia?\nAnswer: 224.8189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*y + 43*y + 40 + 37*y)*(2*y - 2*y + y).\nAnswer: y**2 + 40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -52, 385, 1128?\nAnswer: 2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -10\/2093 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + b - 1. Let m be s(1). Let i(o) be the third derivative of o**4\/6 - o**3\/2 + 125*o**2 + 7*o + 1. Give i(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4941 and 111440961.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a4 - -540?\nAnswer: 5e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -9*h + 36. Is 4 a factor of (4\/(-18))\/(6\/(-342))*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 78*t = -348. Solve 17*m - 4 = -t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 3*p**2\/2 + 4*p + 48. What is j(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 2*j - 16*j - 4*j + 59*j - 27*j - 12*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11886, -17078, -22272, -27468, -32666?\nAnswer: -37866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 285 - 3137\/11. Suppose -5*f = -2*d - 11, -4 + 0 = -5*d + 2*f. Which is the third smallest value? (a) y (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -15*u + 463. What is the tens digit of y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - -1.1. Which is the closest to 0.1? (a) -3 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2444*c = -2337*c - 1929638. What are the prime factors of c?\nAnswer: 2, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37979 - 0.38. Round g to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)*(-10 - -5). Let d(q) = q**2 - q - 1. Let b(x) = -16*x - 5. Let a(y) = l*d(y) + b(y). What is the second derivative of a(r) wrt r?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*i + 298, 2*i + 2*z = 5*z + 167. Let n = 126 - i. Does 10 divide (-4)\/14 + 3965\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = a - 3*d, 2*d + 24 = 5*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*s - 4*u = 139*s + 172, -3*s + 303 = 3*u. Solve 60*p - s = 48*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37210241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.9 (b) 0 (c) -0.2 (d) 3 (e) 5 (f) -153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 910 = -18353*j + 18366*j. Calculate the greatest common factor of j and 1110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3019901.7 and 5.8386.\nAnswer: 3019907.5386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25459293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 - 2*j**2 + 2. Let m(x) = -12*x**3 + 7*x**2 - 7. Let w(a) = -a**3 + 8*a**2 - 11*a - 13. Let i be w(6). Determine i*p(k) - 2*m(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 1, 4, -3, -26, -71?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1486 + -276\nAnswer: -1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2423 - 4926 = -2*b, -5*b + 18365 = -k. Suppose 0 = i + 3*i - b. Suppose 870 = 4*m + 4*f - 338, -f = -3*m + i. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 8, p: 4, x: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 33. Which is smaller: -17 or q?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 3.899?\nAnswer: 0.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 46306\nAnswer: -1\/23153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7803 is divided by 76?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6638 at least as big as -6637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, 116, 174, 232?\n\"Answer: 58*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311790741 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019725 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/(-6))\/(-3*6\/(-90)*5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -27. Let t = m - 2.9. What is t rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = 2*i + 3*s, 1 = -s. Let h = 2.2 - 0.2. Let m = -4.273 - -4.973. What is the nearest to m in 5, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 572\/39 - 3\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i - 3. Let r(g) = g - 3. Let j be r(i). Let z = j - -12. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*r = 156*r - 29*r - 2739 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*g - 235*g + 465*g - 4*g**3 in the form m*g**3 + u + c*g**2 + y*g and give y.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9 (b) 4 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1589, 1782, 1975?\n\"Answer: 193*u + 1396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = -20. Let p = 0.03229 + 0.06371. Which is greater: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39368427 and 463.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, t: 1, b: 2, n: 1, r: 6}. What is prob of sequence bbne?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 12 = -0. Let w(b) = -4*b + 5 - 5 - 2*b**q + 0. Let x(h) = -2*h. Give w(x(n)).\nAnswer: -8*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 123768 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22, 48\/5, 1\/7.\nAnswer: 1\/7, 1, 48\/5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-36))\/((-38)\/152)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -310, 4305, 16830, 41219, 81426, 141405, 225110, 336495?\n\"Answer: 659*c**3 + c**2 - c - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 4*p + 44 = 5*i - 7*i, -6*i - 62 = 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10606?\nAnswer: 2, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(102))\/(sqrt(486) - (sqrt(486) - sqrt(486)*5) - sqrt(486)).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16506036.\nAnswer: 2, 3, 458501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272945809*k**4 + 142276954*k?\nAnswer: -3275349708*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36948 greater than 36947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 61*t = -156. Calculate the remainder when 310 is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -445 - -444.7. Let t = -4.7 + 0.7. What is the nearest to -3 in h, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**3 + 5*d**2 - 10*d - 8. Calculate f(-4).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31239 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4168 - 4?\nAnswer: 4164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(66711 - 66711 - 7548*z)*(2*z**2 + z**2 - 2*z**2).\nAnswer: 7548*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267503 is divided by 16250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - -4) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + (-3 + 2)\/(-1). Let l = 3 - m. Let a = 142 + -43. Calculate the highest common divisor of a and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23200 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 154940327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296) - sqrt(1296)*1)\/(sqrt(12) - sqrt(120)\/(-1*sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148733213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*j + 27*j + 3 + 64*j + 23*j + 3 + 5.\nAnswer: 11*j + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2887975 to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*15.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 571, 855, 1139, 1423?\nAnswer: 1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88690*m - 88278*m + 35432 = 0 for m.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-206)\/(-30) + (128\/(-120))\/(-8). Let o(l) = 9*l**3 + 5*l**2 - 3*l. Let i = 8 - 13. Let y(t) = 13*t**3 + 7*t**2 - 4*t. Determine i*y(s) + x*o(s).\nAnswer: -2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2131 (base 7) to base 3\nAnswer: -1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68177 + 68055.978. Let p = o - -126.02208. Let t = -5 + p. Round t to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -473*v**2 + 309*v**2 - v - 170*v**2 + v to the form k*v + w*v**2 + j and give w.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/15*(-3)\/312*-2. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - 1) - 0 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -24 (c) 3 (d) -1505\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1574384 and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3066644, 6133281, 9199906, 12266513, 15333096, 18399649, 21466166, 24532641?\nAnswer: 27599068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x - 4*w = -139, -196*x - 139*x = -332*x + 5*w + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + t + 7 = -t, 3*t = 4*y. Solve q - y = -j, q = j - 5*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p - 9. Let w(u) = 2*u + 4. What is 3*g(r) + 7*w(r)?\nAnswer: 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 20*d**2 + 98*d - 26. What is t(14)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnqnoxxqxxbkxon. What is prob of sequence nqqn?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11845 + 11845.01. What is the nearest to -1 in i, -2, -9, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f + 0*f)*(110*f - 110*f - 18*f**2)*(-7*f**2 - 5 + 20*f + 11*f - 32*f).\nAnswer: 252*f**5 + 36*f**4 + 180*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3493*u - 70. Suppose -22*k + 4*a = -20*k - 40, 20 = 3*k + 2*a. Let f be c(k). What is f rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7+12.24544\nAnswer: 11.54544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -3*r**7\/70 - r**5\/4 + 2*r**2 + 13. Let k(y) be the second derivative of f(y). Find the third derivative of k(g) wrt g.\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2445*k + 1111*k + 381875 = 1721*k for k.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 11:35 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -8. What is the units digit of (-122)\/(-5) + 2\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-8) + -1)*8. Suppose x - 3*l = -g*l + 61, -2*x = 3*l - 87. Find the common denominator of x and 13\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 3*h**2 - 4*h + 5. What is q(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/5640 and -53\/20210.\nAnswer: 242520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100720797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464237*k + 231889*k + 232081*k.\nAnswer: -267*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 545537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 - (1 + 1 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 10 - 3. Suppose -g*z = -2*z. Suppose z = q - 1 - 5. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278938821 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3756882?\nAnswer: 2, 3, 626147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7070 + (14 + 594\/(-44))*2*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4372*h + 4379*h - 169967. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 2. Let b be ((-4)\/x)\/(4\/30). Let f(l) = -l**3 - l**2 + 5*l + 15. Let i be f(0). Calculate the highest common divisor of b and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -213897, -427931, -641963, -855993, -1070021, -1284047, -1498071?\n\"Answer: j**2 - 214037*j + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8615754 rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/12, -8, 3, 9.\nAnswer: -8, -0.1, 1\/12, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(132)*-3)\/(-5*sqrt(192)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -352 + 53*a**2 + 44*a**3 - 249*a**4 + 250*a**4 + 108*a + 1 + 145*a**2 = 0.\nAnswer: -39, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2805917, -2805922, -2805925, -2805926, -2805925?\nAnswer: -2805922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 + 564*p + 95914. Give d(296).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*z - 80*i + 76*i, 2*i = 2*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*t + 12, -4*f + 14*t - 19*t + 7 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 26. Let c be 21 + (-3)\/t + -3. Is c at most as big as 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*u + 5 = 0, 5*x - 6*u = -2*u + 6. Suppose 2*h + 449 = -3*r + 1677, -x*h + 818 = 2*r. What is r rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*j + 24 = 6*u, -3*u + 4*j = 10. Suppose 4*t + u*a = 388, 0 = -0*t + 5*t + 2*a - 487. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + -25. Let s = q + -9. Let d = s - -53.000021. Round d to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 91*z**2 + 109*z + 77. What is the thousands digit of l(-43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*y - 355*y + 24398 = -21362 + 2992 for y.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49632 and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 12. Let p be w(-11). Sort 4, p, 2 in ascending order.\nAnswer: p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((2 - 15) + (16 - (-189)\/(-66)))\/(6\/(-8)). Let n = 17 - 17.7. Which is the second biggest value? (a) -0.04 (b) u (c) n (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88469856 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/((-2)\/(-3)). Let a = d + 4. Suppose a*h + 15 = -4*i + 61, -5*i - 2*h = -66. 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: What is the value of (121\/(-11))\/55*10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {p: 4, a: 3, c: 2, m: 1, e: 3, n: 6}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 - 3*j**4 + 2*j**4 + (0*j**2 + 3*j**3 + 0*j**2)*(-4*j - j + 2*j) + 48*j**4 - 1 + 0 - 46*j**4 as c + n*j**2 + l*j**3 + q*j + i*j**4 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133325 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24916023 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - b**4 - 74*b**2 + 106*b**2 + 92*b**2 + 3*b**4 + 1 to the form m*b**2 + c*b + r*b**4 + a + l*b**3 and give m.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 8*l - 5. Let r be f(-7). Let g(k) = -k**2 - 5 - k**2 + 4*k + k**r. Let q(m) = -m**2 + 4*m - 6. Let x(i) = 5*g(i) - 4*q(i). What is x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 3*b**2 - 3*b**2)*(2*b**2 - 4*b**2 + b**2)*(-2 + 2 - 5).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12*h + 19*h - 225840 = 0. Calculate the greatest common divisor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*f**2)*(f - 4*f + 2*f) + f**3 - 2*f**3 + 8*f**3 + f**3 + 0*f**3 + 0*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 4 (b) -0.106 (c) 19 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:17 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 42597253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*g + 2*h, 3*h = -h + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h = -17*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -38196?\nAnswer: -15278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3766 + 2602. What is the least common multiple of 25 and 36\/(-84) + k\/(-21)?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11458950 is divided by 818473?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 771.7*-1\nAnswer: -771.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y - 1466 = -4506. Let g = -55 + y. What is the remainder when 63 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 8 = -2*t, -2*j + 8 = 2*t + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/67)\/j*j)\/j)**(4\/3)*(j**(-2\/23))**(-45) assuming j is positive.\nAnswer: j**(12110\/4623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:36 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -660 + 10050?\nAnswer: 8280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 5. Let u be j(5). Solve -2*h + 4*z = 10, u*z + 7 = -h + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.64 + 0.8. Let n = p - -12.84. Let w = -10 + n. Is -2 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 26 + 0 = 0. Is v\/5 + (29019\/15 - 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + j)*(7 - 72 + 5)*(-6*j - j + j).\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v**2. Let k be j(1). Suppose 3*y - 6 = -0*y. Suppose o - y - k = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2 = -t - 1, 2*t + 8 = 0. Solve 0*g + n = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 294 = -73*s. Let h(i) = 11*i + 7. Calculate h(s).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/5 + 1161*n\/5 - 48114 = 0. Calculate n.\nAnswer: 270, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -7*v**4\/12 + 5*v**3\/2 + 2*v**2 - 5*v. Let r(i) be the first derivative of o(i). Is r(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 27. Suppose 3*o + c*o - 117 = 0. Suppose 3*r = -y + 137, -5*y = -4*r + 209 - o. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 77, 78, 79, 80, 81?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(-3) + 2\/(-3). Let z(k) be the third derivative of -k**5\/60 - k**4\/4 - 7*k**3\/6 + 11*k**2. Give z(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 16, 0.02, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 966 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17983 + -29050.5. Round x to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 + 174*d - 158. Let i be c(28). Solve -5*x = z + 20, 217*x - 215*x + i = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 8*o + 13. What is w(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -3, 5, -24, -9 in ascending order.\nAnswer: -24, -9, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - 9. Let s be k(-7). Suppose 5*h - 45 = 4*p, h + 4*p - 2*p + s = 0. Suppose 3*m - 2*u + 7 = -0*u, h*u = m + 24. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696790 = -84*f + 42114 + 40952. Is f a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941864 to the power of 1\/2, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72 - 53) + -4 + -28.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -432*v + 971*v - 209*v in the form k*v + n and give k.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6089201 * 3.\nAnswer: 18267603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*n + 3*i, -n + 16 = 4*i - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*y - 3*p + 735 - 7, -3*p - 85 = y + 4*y + 2*p for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d + 10 = 0. Let w(k) = k + 4. Let n(r) = -r - 3. Let z(j) = d*n(j) - 4*w(j). Let s be z(3). Solve 0*q - s = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010799442386 to seven decimal places.\nAnswer: 0.0107994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -3 - (-23 - -31)) + 5 + 7 + -55.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 556022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + (-6 + 1 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 27*l**2 - 8*l + 6. Calculate x(-13).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -162, -319, -486, -669, -874, -1107, -1374?\n\"Answer: -z**3 + z**2 - 153*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3 - 24*o**2 + 20 + 26*o**2 + 12*o. What is the units digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1, 320, 2, -44, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:57 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 318625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 8. Suppose 2*g + 46 = -4*k - g, 4*g - 22 = 3*k. Let u = -18 - k. List the prime factors of a(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 215, 1439, 4651, 10811, 20879, 35815?\n\"Answer: 160*l**3 + 34*l**2 + 2*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 970 and 2134.\nAnswer: 10670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2150.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-1080)\/699) + (-224)\/160. Let g(k) be the third derivative of s*k**4 + 13*k**2 + 0*k + 0 + 11\/6*k**3. Differentiate g(m) wrt m.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(sqrt(24)\/(sqrt(16)\/sqrt(2))) + 5 + 1*sqrt(847))*-4*-3)**2.\nAnswer: 17280*sqrt(7) + 148752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -h + 5*v, -3*v = -4*h - 6*v - 172. What is the remainder when 109 is divided by ((-18)\/(-6))\/((-12)\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.02, 1229, -9.2, 1, -1 in decreasing order.\nAnswer: 1229, 1, -0.02, -1, -5, -9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**3\/2 + 355221*m**2\/2 - 75*m\/2 - 8880525\/2 = 0.\nAnswer: -118407, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - j = 133, -j = 5*n + 2*j + 139. Let p be -2*(-3 - (-66)\/4). Let w = p - n. Which is the nearest to w? (a) 19 (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v**4\/v)\/v*v)*v\/v**1*v\/(v\/(v**3\/v)*v)*v*v**7)\/((v\/(v*v**(-1)*v))\/v**5)**(-1\/70) assuming v is positive.\nAnswer: v**(83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 740. What is the highest common divisor of 37 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(12) + (sqrt(60)*2 - sqrt(60))\/sqrt(5) - sqrt(12))\/(sqrt(24)*-1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000 (base 2) to base 13.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4002587597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1149*k + 1. Give n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37518?\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 45 - 3. Let z(h) = 29*h**2 + 3*h + 1. What is the units digit of z(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1515 is divided by 734.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*t**2 + 76*t - 28*t - 21*t - 27*t.\nAnswer: 59*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9531 - 13*d + 9531 - 102*d.\nAnswer: -115*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3880 and 1746?\nAnswer: 34920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 117*r**2. Let l(m) = 5*m + 18. Let n(a) = 2*a + 9. Let c(b) = 2*l(b) - 4*n(b). Calculate c(h(i)).\nAnswer: 234*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1844 and 1963223282.\nAnswer: 1963225126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z**(-2\/57)*z))\/z)\/z*z*z**(-11)\/z)\/(z**5*z*z*(z**(10\/9)*z)\/z) assuming z is positive.\nAnswer: z**(-3433\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1047, -4133, -9273, -16467?\nAnswer: -25715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-3))\/((-252)\/972)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61.29 - 61.79. What is the closest to 0 in -0.09, m, 2\/3, 7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)\/o)**30 assuming o is positive.\nAnswer: o**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j**3 - 3*j**2 + 3*j + 186. Let o(p) = 10*p**3 - 4*p**2 + 4*p + 186. Let s(i) = 3*o(i) - 4*w(i). Differentiate s(g) with respect to g.\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igwi when four letters picked without replacement from {w: 5, r: 4, i: 4, g: 6}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 72*k + 95 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -4, 26, 78, 158, 272, 426, 626?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-3 + -2 + 11)) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 421.2 - 431.2. What is the closest to u in -3, -5, 1, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.677589 nanograms in kilograms?\nAnswer: 0.000000000006677589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/6 + 89*q**4\/6 - 1395*q**3\/2 - 269*q**2\/6 + 6184*q\/3 + 1394 = 0. What is q?\nAnswer: -123, -1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -12. Let u(l) = -4*l**2 + 25*l + 18. Let t(a) = a**2 - 8*a - 6. Let q(x) = -7*t(x) - 2*u(x). What is q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1601329\/17 - 94227. Let n = -6743\/34 + z. Let w = -881\/4 - n. Calculate the common denominator of -30\/11 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 572 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 801897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*k - 12, k - 3*j - 3 = 3. Let n be 3*k\/(-27)*9. Let s = 1 - n. Solve 5*r + 1 = -4*x + 22, -s = r - 2*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3135510 (base 6) to base 9\nAnswer: -252656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -533 + 533.5. Sort -0.2, b, 66, -2 in decreasing order.\nAnswer: 66, b, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-13035)\/(-385))\/79).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x**2 + 36*x + 5. Let z(s) = -3*s**2 - 17*s - 2. Let y(p) = -4*m(p) - 9*z(p). Determine y(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -21*i - 18*i. Factor 0*c**i - 1\/3*c**5 + 0*c + 0 + 2\/3*c**4 + 0*c**3.\nAnswer: -c**4*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -499313106 or -499313107?\nAnswer: -499313107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**2 - 3*m - 3. Let v(f) = -f**2 + f + 1. Give -4*s(c) - 12*v(c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*d + 15*d**3 + 66*d**3 - 98*d**3 - 97*d**2 + 15*d**3.\nAnswer: -2*d**3 - 97*d**2 - 95*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 225984467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/10 + 2*z**2. Let v(n) = -7*n + 21*n - 8*n - 9*n. Determine y(v(s)).\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = -18*u + 68*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 12:44 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 972 and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d + 342. What is x(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*y + 40 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (3946841 - -16 - -28)*(-2)\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -5 (b) -3\/19 (c) 3.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6192800 and 45600.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 104*r**2 + 17*r + 52. Let t(o) = -25*o**2 - 4*o - 13. Determine -6*c(u) - 26*t(u).\nAnswer: 26*u**2 + 2*u + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 12:46 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, g: 4, e: 2}. Give prob of sequence gee.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 5, 180, 4726, -2 in decreasing order.\nAnswer: 4726, 180, 5, 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 13, y: 3}. What is prob of sequence ll?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4395036 * -0.2\nAnswer: 879007.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x = 2*h - 5, 5*h = -5*x. Solve -3*k + 5*b + 21 = -h, 0 = -5*b - 25 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 s when three letters picked without replacement from ohlrshhholhloo?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 26028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 9*u + 4. Let m be f(9). Let z(b) = b + 1. Let q be z(m). Let d be 40\/10 + (0 - 1). Solve 0 = -q*v - d*n - 19, v - 3 = 3*n + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24\/487519 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3380500420 to the nearest one million.\nAnswer: -3381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)*p**(-2\/3))\/(p**(2\/19)*p*p**(-4\/3)) assuming p is positive.\nAnswer: p**(-424\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 7*q - 3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786266448 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((520\/(-600))\/((-4)\/10))\/(-3*9\/162).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 35 = -4*n + 2*n, 2*i + 4*n - 30 = 0. Suppose 0*j + 2*z = -j + 4, z = -j + i. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 + 77\/2. Let v = -550 + 532. Let n = t + v. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*p + p - 14 = 0, g = 5*p + 12. Let x = g + -8. Suppose -s - 3*k + 45 = 0, s - 43 = 5*k + 26. Calculate the highest common factor of x and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315349 rounded to the nearest one thousand?\nAnswer: -1315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12*j**2 + 3*j - 2 + 3*j - 4. Let q(b) = 2*b + 11*b + 0 - 13 + 3*b**2 + 22*b**2. Let g(t) = -195*t + 4101. Let c be g(21). Determine c*q(y) - 13*a(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - 4 + 4 + (-2*g + 4*g + 0*g)*(2*g - 2*g - g))*(-38*g - 160*g + 524*g) + g**3 - 4*g**3 + 5*g**3 as q + s*g + v*g**2 + l*g**3 and give l.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11762100*h**2 + 11526970*h - 1 wrt h?\nAnswer: 23524200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**2 - 84122*v - 84129. Give j(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2182 and 0?\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/32)\/((-3)\/(-24)). What is the nearest to 0 in 2\/3, 3\/14, i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3327543084?\nAnswer: 2, 3, 71, 1181, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2930188 and 250138.\nAnswer: 20511316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155024050 + 3?\nAnswer: 155024053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9275 + 9261.61. Which is the closest to 2\/7? (a) 3 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 12*r**2 - 29*r - 5. What is p(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2583*d**4*k**3 - 5*d*k**3 - 7*d wrt d?\nAnswer: -30996*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:35 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**7\/700 - 11*k**6\/1800 - k**5\/300 - 16*k**3\/3 - 33*k. Let v(c) be the second derivative of s(c). Factor v(q).\nAnswer: q*(q - 2)*(6*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936443.6 kilograms in micrograms?\nAnswer: 936443600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68 + 3880?\nAnswer: 3938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -953 - -973. Solve -2*u - i + 10 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 968, 1072, 1200, 1346, 1504, 1668?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 784 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 721182 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 129*i + 124 + 176 + 230*i - 87 - 97*i. Is t(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/5 (b) 1\/5 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -8. Suppose 4*q - w*q = m, 3*m = -q. Is 12 a factor of 4 - (4 + -60 + q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 9. Let f be -2*3\/(12\/(-34)). Let q = f + p. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 4412469?\nAnswer: -2\/1470823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 67 - 43 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 122846 or 123181?\nAnswer: 123181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11293790, 11293779, 11293768, 11293757?\nAnswer: 11293746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -4, 3\/5, 1\/5, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x, 0 = 5*n - 3*n - 2*x. Suppose n = h - 13 + 8. Suppose 2*a = -h*d - 23510, -10 = -a + 3*a. Round d to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q. Let i(x) = -105*x - 40. Let z(v) be the second derivative of -4*v**3\/3 - 3*v**2\/2 + 6*v. Let j(c) = 3*i(c) - 40*z(c). What is k(j(p))?\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 p when three letters picked without replacement from ppipiiiiiiiiiiiiii.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (1 + -2 + -2 + 2)) + 494 + -476?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/(z\/(z*z**(1\/2))))\/(z**(5\/2)*(z*z\/z**(-4))\/z) assuming z is positive.\nAnswer: z**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00205840168 rounded to six dps?\nAnswer: -0.002058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -294.979159519 + -0.020172481. Let s = 295 + n. What is s rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2261477?\nAnswer: 37, 61121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 456653\/118580 + -6\/5929. What is the common denominator of 31\/5 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (-1 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llyy when four letters picked without replacement from yyyyyyyyyyllyyylyy.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -5, -4, 4565, 0 in decreasing order.\nAnswer: 4565, 4, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x, 0 = -m + 2*x - 4 + 2. Let v be (0 - (0 - 1)) + 2. Solve m*g = v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/204 - 4\/(-48) - 72\/(-132)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -816.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1524 divided by -92\nAnswer: 381\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1465247us in days?\nAnswer: 0.00000000008271440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - 0. Let q = 5.0199 - -0.0051. Let r = q + -0.025. Sort r, h, 7.\nAnswer: h, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4, h: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-5 + 3) - (1 + -36). Suppose -2*p - 3*u + 29 = -d, -4*p = -5*u - 79. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1541 + 12615?\nAnswer: 14456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3551 - -21187. List the prime factors of o.\nAnswer: 2, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1336 and 10?\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 > -19.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k + 27*k + 24*k + 18*k.\nAnswer: 43*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674 = -70*i + 866 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 13. Suppose -b - 3*f = b - 37, b = 3*f - 4. What is the greatest common factor of b and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.85 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38282352 by 6.\nAnswer: 6380392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 7) + 1 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + k = 12, 1397*k = -d + 1395*k + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*w - 10 = 8*w, -i - 5*w = -8. Let c = 9 - i. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*c**3 - 46 + 7*c + 6*c - 15*c + 5*c**3 wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let r be q(-2). Let f(b) = 37*b**2 + 5*b - 7. Let j(s) = 105*s**2 + 15*s - 20. Let z(k) = -17*f(k) + 6*j(k). What is z(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*d - 60 = 0. Calculate the remainder when 27 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - p**2 - 5*p - 5. Let h(l) be the second derivative of -l**5\/20 - l**4\/12 - l**3\/2 - 3*l**2\/2 + 9*l. What is 5*h(d) - 3*y(d)?\nAnswer: d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11337 and 19733938?\nAnswer: 3779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24288879, 48577764, 72866649?\n\"Answer: 24288885*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -72310.546 to the nearest 100.\nAnswer: -72300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 100. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1137 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.4, 0, 2.2 in decreasing order.\nAnswer: 2.2, 0.4, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175647 is divided by 43911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68686*u + 264 = 68710*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o + 204. What is z(12)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: e4e (base 15) to base 10\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - 2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-305)\/25 + 46\/230?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**3 + 8169*j**2 - 12240*j.\nAnswer: -3*j*(j - 1360)*(2*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*d - 38, 2*g - 28 - 22 = 4*d. Solve -g*x + 20*x = -2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 11*g - 20. Let s be ((-21)\/15 - -1)*-5. Suppose s*b + b + 10 = 2*x, -b = -2. Let m be j(x). Solve 2*u = 3*o - 16, -m*u - 32 = -o - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*c - 30 = 0, 3*b - 20 = -c + 2*c. Let p = -16 + b. Let r be -3*((-24)\/p)\/(-4). Which is greater: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-3*q**4 + q**4 - q**5 + q**2 - 2*q**2).\nAnswer: 2*q**5 + 4*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - i. Let y be s(-1). Solve -2*m = -y*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 5:46 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 2*v**3\/3 - 16310. Let o(f) be the third derivative of -49*f**4\/24 - f**2. Give o(u(g)).\nAnswer: -98*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 767109411 to the nearest integer?\nAnswer: 27697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4292780 at least 4292782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6467054663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2. Let j(x) = -20*x**3 - 8*x**2. What is 8*b(f) + j(f)?\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/11 + 17\/11. Let l = -1.7 + -0.3. Let p = 0.1 - -0.1. Which is the nearest to -1? (a) h (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*p - 4*p + 20, 5*k = -5*p + 10. Suppose -3*g - 200 = 2*g. Let s be ((-1)\/(-2))\/((-4)\/g). Solve -s*o - l = l - p, 2*o - 16 = 4*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000193920064 to seven decimal places.\nAnswer: 0.0001939","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*g = -0*g - 222, 5*k + 544 = -2*g. Let u be k\/3*(-6)\/12. Suppose -t = v - u - 12, 0 = -4*v - 3*t + 125. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 3*a**2 + 4*a + 2. Let d be v(4). Let r be -28*(3\/(-12) - d). Let l = 134 - r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6206 - -6205. Which is the second smallest value? (a) -11\/2 (b) x (c) -2\/3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 2*c**3\/15 - 4*c**2\/5 + 8*c\/5 + 9. Solve w(y) = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 3\/5 (b) 4\/11 (c) -0.171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 26775 divided by -8161\nAnswer: -26775\/8161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/89? (a) -0.19 (b) 6 (c) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151775792 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3696884)\/869*11\/(-2)?\nAnswer: 2, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -0.3, 98, -14 in ascending order.\nAnswer: -14, -1, -0.3, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {a: 2, c: 5, j: 3, k: 6, s: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 28 = -3. Suppose 297 = 5*g + b*v + 22, 5*g + v - 283 = 0. What is the remainder when g is divided by (55\/22)\/(2\/24)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -367, -488, -669, -916, -1235?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -100?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9476.255 - 965\nAnswer: -10441.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - ((-306)\/(-85))\/((-19)\/95)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 848810533\/6783788 - 283833\/2909. Let p = q + -1329\/53. What is the common denominator of -37\/68 and p?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1.86. Let o = 0.14 + v. Which is the second smallest value? (a) 0 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -3 (c) -0.2 (d) 18.5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*a + 395*a = 1568 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7 - 563*p - 16*p**3 + 280*p + 17*p**3 + 11*p**2 + 277*p - 23. Determine l(-12).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -758, -1523, -2284, -3041, -3794, -4543?\n\"Answer: 2*x**2 - 771*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7040?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -5, 46 in ascending order.\nAnswer: -5, 46, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 213 divided by 3\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47337 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 146\/9. Let i = 4616\/20853 + 2\/2317. Which is the nearest to i? (a) 2 (b) y (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 1.1?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23762037 a multiple of 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2238 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 35*a + 203. Let h = -528 - -547. Calculate the remainder when r(h) is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 933, -6\/151, 2 in ascending order.\nAnswer: -6\/151, 1, 2, 933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 31*v**2 + 22*v**2 + 16*v**2)*(3 - 2 + 0) + 5*v - 5*v**2 - 5*v.\nAnswer: 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179*z**6 + 3*z**2 + 4*z wrt z.\nAnswer: 21480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -823*j**2 - 42 - 90*j + 42 + 89*j to o*j + z + k*j**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = -41*f + 40 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11179.8t?\nAnswer: 11179800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16072 at least as big as 16075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1543 = 44*p + 1675. Suppose -2*u = d - 16, -d + 20 = -4*u + 2*u. Let f = d + -13. Put 8, p, -4, f in increasing order.\nAnswer: -4, p, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6489.77 and 4.\nAnswer: 25959.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - k + 39, -2*k - 23 = -2*a + 39. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 551, 1972, 4341, 7658, 11923, 17136?\nAnswer: 23297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2474, -2473, -2472, -2471, -2470?\n\"Answer: b - 2475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/r*r)**37\/(r**(-1\/2))**(-6\/11) assuming r is positive.\nAnswer: r**(-413\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3\/19 (b) -2 (c) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/2)\/((-1)\/4) is divided by (-364)\/(-308) - 12\/66?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 5*k. Calculate the least common multiple of (-7)\/k*(-120)\/42 and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2497, -3239, -3981?\nAnswer: -4723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-3*2)\/(3*3*sqrt(9) - sqrt(9)))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -2 + 2)**2 - (sqrt(44)\/sqrt(4) + 0).\nAnswer: -sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271798019.\nAnswer: 317, 857407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 3:24 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -762 + 746. Is a at least as big as -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88 + (-2 - (1 + 1))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 2*y**2 - 51*y - 25. What is c(8)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -71\/318, 3\/2, 2\/3, -441?\nAnswer: -71\/318","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 7*n)*((2*n + 0*n - n)*(0*n**2 - 2*n**2 + n**2) + 0*n**3 + 4*n**3 - n**3)*(2 + 6 - 4).\nAnswer: 56*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -2 in increasing order.\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 16) to base 2.\nAnswer: 1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + (-19 - 0) + -2 + 56 + -49.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191370770*n**3 - 257434087*n**2 wrt n.\nAnswer: 1148224620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 0*t**2 + 0 - 1\/15*t**3 - 2*t - 3\/50*t**5 - 1\/75*t**6 - 1\/10*t**4. Factor v(a).\nAnswer: -2*a*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -18. Suppose -v*r = -3 - 7. Suppose r*y = -5*l + 12, 3*y + 0 + 1 = 2*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.02044541.\nAnswer: -0.06133623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 7, 69\/5, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.59 - 0.7. Let v = 0.618 - i. Let g = v - -2.582. Round g to one decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*16\/(-6)*((-340)\/400)\/17.\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/5 + -2)*24\/1368. Sort c, -9\/19, -2 in decreasing order.\nAnswer: c, -9\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + -2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, -35, -29, -23, -17?\n\"Answer: 6*w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) 19 (b) -1\/5 (c) 0.07 (d) 71 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Let h(s) = s + b*s + 20 - 4*s. Let n(x) = -x + 7. Calculate -6*h(f) + 17*n(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(228\/8))\/((-2)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/10, -2\/19, 5, -1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2. Let i(k) = -33*k. What is b(i(o))?\nAnswer: 3267*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 151*x + 4198. Calculate w(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1934 - 4133. Let u = -1380 - l. List the prime factors of u.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/50)\/(((-2)\/(-18))\/((-90)\/(-54))).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.03618772 * -21\nAnswer: -0.75994212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = h - x, -171*h + 169*h - 10 = -x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16583 - 9608. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:03 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4 - (-3 - 0)). Let c(u) = u**3 - 11*u**2 - 12*u + 4. Let t be c(12). Let j be 27\/(-18) + t\/2. Is v at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37987105 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2 - 42*o**2 - 15*o - 161*o**2 + 15*o. Let y(l) = -20*l. What is y(d(b))?\nAnswer: 4180*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.5 - 19. Which is the nearest to 2\/7? (a) -5 (b) w (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 14*q**2 - 111*q + 8. Let d(k) = 11*k**2 - 111*k + 7. What is -5*d(g) + 4*t(g)?\nAnswer: g**2 + 111*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/78 - 49\/(-14))*(-20 - 41).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-20)*(-105)\/420*6\/15?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(4 + 45\/(-10))*-22. What is the greatest common divisor of 176 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 - -407\/4. Which is the smallest value? (a) 3\/2 (b) j (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 7*i = i. Let r = i + 48. Calculate the highest common factor of r and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*c + 155 = 227, -2*a + 56 = 4*c. Let o be 10 + -2 + -1 + 1. What is the highest common divisor of o and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 30*i**2 + 5*i - 5*i.\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*z - 12 - 23, -2*w + 46 = -4*z. Which is bigger: z or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0 - 0) + -66 + 73?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4335*p. Let v(z) = z**2 - 14107. Give v(t(l)).\nAnswer: 18792225*l**2 - 14107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143985 and 3707505?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**4)**46\/(s**(3\/13)\/(s**(1\/6)*s)) assuming s is positive.\nAnswer: s**(-10691\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 16*g + 16, -2*n - g - 28 = 0. Sort n, 5, -3, 3 in decreasing order.\nAnswer: 5, 3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 25*r**3 + 673*r**2 - 11*r + 11. Let p(j) = -14*j**3 - 337*j**2 + 6*j - 6. Calculate -11*p(b) - 6*q(b).\nAnswer: 4*b**3 - 331*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-90)*-2*(-8 + 14). Let l(x) = 3*x**2 + 29 + 2*x**2 - 4*x**2 - 34. Let y be l(-3). Which is the biggest value? (a) t (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/704 - 173\/704. Put 0.1, 5, t, -4 in decreasing order.\nAnswer: 5, 0.1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 10*i - 1. Let g be n(-7). Let q = 81 + g. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 14. Let g(q) = 0*q**3 - 7*q - r - 11*q**2 + q**3 + 3*q**2. What is the units digit of g(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s - 2*s**2 - 4 + 3*s**2 - 2*s**2. Calculate w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*t + 10, 0 = p + 3*t + 17. Do 27 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*4\/(-180) - 88\/(-18). Let g = -86.3 - -86. What is the nearest to g in -0.1, 0.5, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 5 - l + 75210*l**2 + 2 - 75208*l**2. Give r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 208 = 2*x + 308, 2*j = -3*x - 40 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 22*q**2 - 2*q - 1. Let c = 4 + -5. Let j be r(c). Suppose -g = -0*g - j. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7 = -3*x - 12, 0 = -3*t - 3*x + 9. Let z(f) be the second derivative of 2*f**2 + f**3 + 0 - f + 1\/6*f**t. Factor z(k).\nAnswer: 2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 155*m + 84 = -132*m, 0 = -3*m + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 2*(-5)\/5. Suppose -5*a - 164 = -4*z - y*a, -3*a = 2*z - 78. Suppose -i = 3*i - 28. Calculate the greatest common factor of z and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3aa - -a75?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 57. What is the remainder when (-20 - -3)\/(1\/(-3)) is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let x = -2 + u. Suppose 283*o + 744 = -1520. Sort x, o, 2\/13 in ascending order.\nAnswer: o, x, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6 - 6. Calculate the smallest common multiple of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/270*4\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1642 + 1645. Let x(n) = -n - 3. Let y be x(-6). Solve -y = -6*r + a*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/60 - 15*q**2. Let i(g) = -33*g. Calculate x(i(o)).\nAnswer: -1089*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (-35 - -87)) + (-2 - -1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + 9*c - 3. Let b(n) = -10*n**2 + 27*n - 9. Let f(q) = -2*b(q) + 7*o(q). Let z be f(7). Let m(d) = d**2 - 6*d + 14. Is m(z) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 44. Let s = 275 - 261. Calculate the remainder when j is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-3))\/((-8)\/18). Suppose 21 = 5*m + 2*f, 4*m + a*f - 4 = 2*m. Solve 0*p - m = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*(v**(1\/4)*v)\/v*v)\/v))**(-24)\/(v*v**3*v*v*v**(-3\/2)))\/((v**1)**(-5\/6)*v**(-5)*v**(-2\/3)) assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3 + 420*j**2 - 848*j = 0.\nAnswer: -212, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x. Let w be u(1). Suppose 4*c + w*b = 96, -2*c = -2*b + 8 - 40. Calculate the highest common factor of c and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 6\/11, -1, -155\/3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0 + 10*g**3 - 2 - 2*g**3 + 3*g - 2*g**2. Let c(w) = -w - 9. Let i be c(-11). Let x be r(i). Calculate the highest common divisor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from pwysuvy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1887056 or -1887068?\nAnswer: -1887068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - 2*b**4 + 2*b**4)*(0 - 3*b + 8 - 13).\nAnswer: -3*b**5 - 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50*-2*-74 + 0. What is r rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-7) - (-76)\/(-133)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + (-574)\/42)*60\/(-50)*-165\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-78)\/(-5)*(18\/4 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2724 and 805396.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {l: 2, z: 2, n: 2, a: 4, d: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 50 - 52 + 2*o**4 - o**4 + (-o - 2*o + 2*o)*(-20*o**3 + 58*o**3 - 20*o**3) to l*o**2 + g*o**3 + h + d*o**4 + k*o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6.2 (b) -2\/19 (c) 3 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*f + 4*f. What is the remainder when 24 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/68, 0.09, 5?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 0*l**2 + 8*l**2 - 16 + 12 + 10. Let v(a) = -a + 17. What is v(k(r))?\nAnswer: -5*r**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.62142 to two decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2240310 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - (-17)\/(-5))*(-10)\/4. Solve 2*d = 6*d + p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 0 + 1\/2*y**2 - 2*y - 1\/4*y**5 - 1\/6*y**4 + 0*y**3. Is 4 a factor of m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 1. Let a be r(-1). Suppose 5*p - 4*p + 6 = 4*w, -5*p = 5*w - 45. What is the highest common factor of p and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from kckwekekwpkkwkkwkk?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (7 - (7 - 1))) + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 7}. What is prob of picking 3 x?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 887*z**2 + 953*z**2 - 3 - 229*z**2 + 1 - 396*z**2.\nAnswer: 1215*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*q = -76*q - 12. Let g = 0 - -5. Calculate the lowest common multiple of q and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaai. What is prob of sequence iiai?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -529 (base 12) in base 3?\nAnswer: -1000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9667 - -9657. Let b(v) = -v**3 - 12*v**2 - 17*v + 33. Give b(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5)*u)**(-9) assuming u is positive.\nAnswer: u**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -596 - -710. Calculate the highest common divisor of d and 3078.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3532 + -1996. Suppose 2*b + u = 4*w, -387 = -w + 4*b - 2*b. Is w a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 + 7085. Does 38 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 7:28 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-518)\/5)\/((-42)\/105) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9086.221 + -9175.7. Let o = i - -89. Let j = o - 0.021. What is the nearest to -2\/5 in -3, -0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14904 divided by 552.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19845 and 1864107?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, d: 7, r: 4}. What is prob of sequence qdq?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15575 and -18.\nAnswer: 15557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*t**2 + 1091*t**2 - 553*t**2 - 8664*t**3 - 2892*t**3.\nAnswer: -11556*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*a, -5*a = -4*z + 6*z - 21. Solve 6*r - r = m + 17, -3*m = -z*r + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12902 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -4, 114, 12, 3 in descending order.\nAnswer: 114, 12, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1139.8 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1519*n**2 - 400*n + 28*n**2 - 542*n - 124 + 78*n + 49*n**3.\nAnswer: (n - 31)*(7*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25 times 0.096875?\nAnswer: 0.12109375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -208508, -417040, -625572, -834104, -1042636, -1251168?\n\"Answer: -208532*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 1. Let b(m) = -2*m + 9*m**2 - 31*m**3 + 16*m**3 + 4 + 2*m. Let c(p) = -b(p) - 4*n(p). Find the third derivative of c(v) wrt v.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*i + 2*d + 59, -4*d - 28 = -2*i. Let w = 81\/5 - i. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518, -510, -486, -440, -366?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 10}. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 7*r**2 + 5*r + 3. Let x be i(6). Let u be 5*12\/45*x. Let t(s) = -s**2 - 5*s - 1. Is t(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 12, 3*v - 6*v - 62 = -2*l. Suppose 2*h - 5*h + 3*r + 24 = 0, -3*h + l = -4*r. Let j = -581 + 581. Solve j = b - 2 + h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -h + 17, 4*k = 3*h + 20 + 9. Let p = 0.696 - 1.696. Sort 1\/5, h, p.\nAnswer: h, p, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5 = 3*f + 2*f, r = 3*f + 20. Suppose -5*x - 9 = 6. Let q = x + r. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 95\/30 - (-1)\/(-6). Let f be 8*(-27)\/90 + 6\/(-10). Put f, i, 7 in ascending order.\nAnswer: f, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (100*r + 154*r + 8*r)*(-1 - 1 + 0 + (0 - 4 + 2)*(-1 + 4 - 1) + 2 - 4 + 0 - 1 + 3 - 4) as z + s*r and give s.\nAnswer: -2620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.009 and 15.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413347387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/63 - (-2 - 14\/(-6)). Suppose -4*o - 81 = -3*w + 2*w, 5*o - 158 = -3*w. What is the remainder when w is divided by 24 + (a - 1) + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - (42 - 11)) + -40?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 20*v**3 + 180*v**3.\nAnswer: 195*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + 42. Let n be i(36). Suppose 54 = 2*x + 2*h + 3*h, 5*h - n = -5*x. What is the greatest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-2)\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-6))\/3*-3058. Let z = w + 30659\/20. Calculate the common denominator of z and 1\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7364909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 51\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2. Suppose 93 = -5*t + 8*t. Let w(f) = 698*f + t*f**2 - 698*f. Determine v(w(u)).\nAnswer: 1922*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -14*g**2 - 511*g - 24. Let k be r(-27). What is the highest common divisor of k and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**2 + 3*d - 4. Let f(y) = -9*y**2 + 4*y - 5. Let q(r) = 6*f(r) - 7*t(r). Suppose 7 = 2*i - 0*a - a, 0 = 4*i - 3*a - 17. Is 3 a factor of q(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**4)\/a*a)\/(a\/((a*a\/a**(-8))\/a)))**(-13) assuming a is positive.\nAnswer: a**(-182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16854*b + 33701*b - 16855*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -365 and -0.02895.\nAnswer: -365.02895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5693?\nAnswer: 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 7*n + 8. Let a be b(-6). Suppose 3*d + a = 8. What is the units digit of (-1 - d)\/(-3) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 5*o + 3*o + (2*o + 1 - 1)*(2 - 5 + 2) + 1 - o - 1 + (60 + 52 + 229)*(0 + o + 0) to the form b + v*o and give v.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1982078ml?\nAnswer: 0.0001982078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3601.102+-60095\nAnswer: -56493.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.8 - 0.11.\nAnswer: -13.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311 - -14266.\nAnswer: 13955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10*(-10)\/4. Let w be (1 + -1 - -2)\/m. Find the third derivative of -p**5 + 3*p**2 + 2 - w wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2 - 57*o - 60 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -181 - -185. Solve -3*v + p*v = 5*r - 13, 0 = -3*r + 3*v + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-33 - -12) - (1 + -1 + 2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -6221, 1, 2, -4, 5 in decreasing order.\nAnswer: 5, 2, 1, -3, -4, -10, -6221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 - w**4)*(-15 - 24 + 41 + 7*w).\nAnswer: -7*w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.34, -2, 1.8, -1.43, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-19 - (4 - 14)) - (-16 + 11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 204 = 4*n - 189, -4*q = -7*n + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12770 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11)\/288*(-13 - 15) and 59\/15.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -99 + 15 + 167?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-37606642\nAnswer: 75213284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -312.89990724 - -312.9. Round q to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 9:48 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 7)*(55 - 155 + 29402355*u - 29402283*u).\nAnswer: -144*u + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -7, 5, 8\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 420*c - 5148 = 422*c, 20592 = 4*p + c. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7248*m - 5*a + 8 = -7250*m, -5*m - 3*a = -a + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 247045859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -516*c - 1112*c**3 - 1267*c - 4142*c**3 wrt c.\nAnswer: -31524*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/7)\/(q*q**0))\/(q**(2\/3))**(16\/3) assuming q is positive.\nAnswer: q**(-296\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a**2 - 54*a + 2. Give c(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 34*u - 99. Let y be w(-37). Let j be (-9)\/15*((-20)\/y - -2). Let i = 1974\/13 + -152. Sort i, 0.3, j, 0.5.\nAnswer: j, i, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 12*n - 8. Let s(v) = v**2 - 4*v - 3. Let f(m) = 4*g(m) - 11*s(m). Let a(u) = u**2 - 11*u + 17. Let d be a(10). Is f(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13849 to the nearest one hundred.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -149 and -0.03.\nAnswer: 4.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l. Suppose 5*r = 2*h - 4*h + 9, h + 5*r - 12 = 0. Let c = 8 + h. Let m(q) = q + 5 - c. What is n(m(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.02, 172, 1\/5, 10, 1, -0.02, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34080175511 and 0.9?\nAnswer: 34080175510.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77020132?\nAnswer: 2, 7, 17, 161807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 + 6*i - 20 = 0 for i.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 175 = 15*q, -4*q = 4*z + 63 + 5 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 867325 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.65 + -1036109.\nAnswer: -1036128.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 38. Suppose 2*t - 18 = -3*b + 5, 3*t + 3*b = n. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -72. Suppose 17*x = 14*x + f + 743, 0 = 4*x - 4*f - 988. What is the remainder when x is divided by u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 259 and 10690262.\nAnswer: 74831834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*p + 40*p = 1961 - 203 + 3429 for p.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4519155485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d = 104*d + 114*d + 1776. Calculate the common denominator of d and 19\/(-2) - 2 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 243 = 2*f. Let u = f - 284\/3. What is the common denominator of 20 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 210*j - 378 - 54 - 442 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116320911 to the nearest integer?\nAnswer: 10785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/77 + 31\/((-490)\/(-30) + -14)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 730 divided by 2918.\nAnswer: 365\/1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5925523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7698 - 0.3698. Put j, -5, -3\/5, -12, -1 in increasing order.\nAnswer: -12, -5, -1, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d + 22*d - 9*d - 8*d - 3. Let k be w(-5). Suppose -5*t + k*i - 3 + 26 = 0, -i = -1. Let o(g) = -g**2 + 4*g. Give o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((0 + sqrt(432) + sqrt(432))**2 - sqrt(432) - (2 + sqrt(3))**2*-1) + 0)*-2*-5.\nAnswer: -80*sqrt(3) + 17350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 4 - -3) + (-2)\/2. Let y be ((-2)\/3)\/(r\/9*-3). Let l be (2 + -1)\/((-2)\/(-4)). Which is the smallest value? (a) y (b) l (c) 3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 309775039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617 a factor of 6832987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6281253 and 1188?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (28 - 45 - -71)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, 1, -39, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 + -62. Does 57 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 601, 1621, 3061, 4921, 7201?\n\"Answer: 210*y**2 + 390*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3280 + -3243. Solve -49 = 3*j - p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004368136 to 6 decimal places.\nAnswer: 0.000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 1. Let n be i(-4). Let p(q) = -q**3 - 5*q**2 + 2*q + q + 3*q**3 + 1. Is p(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/26 - 69180\/(-260). Find the first derivative of 166*d**3 - 4*d**2 + 4*d**2 + z - 336 wrt d.\nAnswer: 498*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(57)*2 - sqrt(57)) + sqrt(57))*2)\/(4*sqrt(27)) - (-4*(2 + sqrt(19))*1 + 5).\nAnswer: 3 + 13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 40 = -22*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719229.4 weeks in microseconds?\nAnswer: 434989941120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (1 - 0)*3. Let q = 7 + u. Let f(i) = 2*i**2 + 3*i - 1 - i**2 + q. Calculate f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3565, 4712, 5867, 7036, 8225?\nAnswer: 9440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**2\/2 + 6*b - 1474. Suppose 2*p = -3*p - 25. Determine g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/16 + 41\/16. Let i = -17\/6 + x. Which is the closest to -1\/3? (a) -0.2 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 3. Let a be r(-3). Let p(d) = d**3 + 6*d**2 - d. Give p(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106761.1 + 106761. Suppose -2*w = -0*w. What is the nearest to 9\/4 in w, -2, o, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 251 + 3*b**3 + 18 + 53 in the form v*b**2 + q*b + y + l*b**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 550772 divided by -100.\nAnswer: -137693\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -300.\nAnswer: 17\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/5 - 40368*u\/5 - 218133 = 0. What is u?\nAnswer: -27, 40395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 4:54 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*4\/(-425)*(-5)\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42, 1732, 3506, 5280, 7054, 8828?\n\"Answer: 1774*f - 1816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5092.369 millilitres to litres.\nAnswer: 5.092369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4 - (-234)\/36. Find the third derivative of 293*s**r - 551*s**5 - s**6 - 18*s**2 + 277*s**5 wrt s.\nAnswer: -120*s**3 + 1140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*p = -p - 43, p + 27 = -3*a. What is the second smallest value in a, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10033497?\nAnswer: 3, 23, 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16404 is divided by 1640.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 15) + 2 + -1 + 2 - (24 + -34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d - 5. Let a(s) = -2*s - 6. Let c(m) = -4*a(m) + 3*k(m). Let w be c(9). Solve 25 = 5*j - w*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00348 to four decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2141525 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*d = 175*d - 65. Find the second derivative of 98*w**5 - d - 3*w + 16*w - 3*w - 7*w wrt w.\nAnswer: 1960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/32480 and 157\/22680?\nAnswer: 2630880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0082195 micrograms to tonnes.\nAnswer: 0.0000000000000082195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 2*s. Let t be y(0). Let l(a) = -a**3 + a**2 - 1. Determine l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 0*k**2 + 0*k**3 + 17\/12*k**4 + 0 - 6*k. Let w(c) = 2*c**2. Give w(m(l)).\nAnswer: 578*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38a4c5 (base 13) to base 8\nAnswer: 5152266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 479437580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 11*i + 92. Let g be m(-16). Let t be (44\/(-110))\/(g\/(-15)). Determine d so that t*d**2 - d + 1\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*m**2 - 6*m**2 + 11 - 11 + (-2*m + 2 - 2)*(2 - 2 + 2*m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*k + 6*k. Let r = 20 + -13. Let t = 6.8 - r. Sort 5, t, k in increasing order.\nAnswer: k, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 0, -1354\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.37 + 0.51. Let y = u - -0.16. Let j = y - -0.2. Sort j, 0.2, 1 in increasing order.\nAnswer: j, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/299, -0.5, -0.1?\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 8*r + 6. Calculate k(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.96 - 4. Let t = -0.46 + b. Let d = t - -0.6. Is 2 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 233476 = -4*k, -67*k + 72*k = -3*q + 291839. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447\/12 - 2\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + j = 0, 3*f - 28*j = -32*j + 17. Let o(z) be the second derivative of 7\/6*z**3 + z + 0*z**2 + 0. Determine o(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12135 + 2?\nAnswer: 12141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76055100 divided by -800580.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*d + 3*m, -2*d - 6 = -5*m + 3*m. Let v be 5032\/(-90) + d\/(-5). Let l = 56 + v. Sort 2\/13, 3\/5, l.\nAnswer: l, 2\/13, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-10)\/(-6))\/((-38)\/(-114))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 3, j: 1, b: 1, v: 2, w: 3}. What is prob of sequence jdv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15.7+162892218\nAnswer: 162892202.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 82 = 2*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 3*d + 9. Suppose d*s + 15 = -0. Let q(x) = -2*x - 3. What is the units digit of q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 + 4*y**2 - 9*y - 4. What is s(-4)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*x + 260 = -190. Suppose x*o + 0*b = -b - 5, 25 = -5*b. Solve o + 5\/2*k**2 + 3*k**3 + 0*k + 1\/2*k**4 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63512335 is divided by 5497.\nAnswer: 5494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 3*b + 1. Let l be g(7). Solve 5*n = -4*r - 0*n - l, r + 16 = -3*n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.308 and 0.0413.\nAnswer: -0.2667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**3 + 5*d**2 - 600*d + 2340 = 0.\nAnswer: -13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352, -1305, -2886, -5089, -7908, -11337, -15370, -20001?\nAnswer: -25224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23\/5, -0.96, 3\/4, -0.01, 23?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/(8\/(-6))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 (base 9) in base 2?\nAnswer: -110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 28*d**5 + 17072*d**4 - 9728272*d**3 - 16736768*d**2 + 5575680*d = 0?\nAnswer: -968, -2, 0, 2\/7, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - m**3 + 4*m**2)*(2 + 2 - 5) + 669*m**3 + 754*m**3 - 373*m**3.\nAnswer: 1051*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + -4 + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*h = -60. What is the lowest common multiple of h and 4\/12 + (-179)\/(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1835 + -586. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a kilometer in meters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 1 = 5. Suppose -n = -2*p + 3. Let l(y) = -y**3 + 8*y**2 - 6*y - 4. Let v be l(7). Solve 6 = -w - p*w, w = v*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -a + 3. Suppose 10*m = 12*m - a. Solve -3*x + 0 = m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813776 is divided by 57971.\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.1, 44433.9, 0.1, -2, 1 in decreasing order.\nAnswer: 44433.9, 1, 0.2, 0.1, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 297 = -6*m. Suppose 5*y + p - 330 = 0, 11 = 2*y - 4*p - m. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 4*c + 3. Let f(g) be the third derivative of 0*g + 4*g**2 + 5\/6*g**3 + 0 + 1\/24*g**4. Let a be f(-7). Determine o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3750561, 3750515, 3750439, 3750333, 3750197, 3750031?\nAnswer: 3749835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 777400 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 28. Let r be (-4)\/22 + 53\/q. Sort 3, 1, r.\nAnswer: r, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*x - 1 + 8, -9 = 5*j + x. Let z be (-20)\/(0 - j\/11). Let g = z - -4512\/41. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/2*((-7820)\/(-85))\/(-92).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/2, -2, -0.2, -30.9, -1.36?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7392 is divided by 818.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven tenths of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2905 = -174*z + 828 - 707 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 27, 52, 93, 156, 247, 372?\n\"Answer: q**3 - q**2 + 11*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.6. Let o = 11 - 10.5. Let g = 0.1 - o. What is the third smallest value in w, 1\/4, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.075 - 0.0788. Let g = o + 21.7038. Round g to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 + 49*c + 62. Let z(v) = 2*v**2 - 16*v - 21. Let f(w) = -3*i(w) - 8*z(w). Let x be f(-16). Is x at most as big as 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, 4\/115, -215 in decreasing order.\nAnswer: 7\/3, 4\/115, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1735373)\/(-1773) + (-1)\/((-9)\/2)?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3779*c - 1884*c - 1262*c - 207*c + 723*c.\nAnswer: -6409*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139286 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 7 - 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2505, -2497, -2485, -2469, -2449, -2425, -2397?\nAnswer: -2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109151 - -158560. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 = -2*o, 0*g - 5 = -2*g - o. Let l be ((-8)\/6)\/(g\/6). Calculate the common denominator of (267\/l)\/(9\/2) and 43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 3*o**3 + 3*o**3 + 3*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 5) to base 2.\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56425 in 3, 5, 1\/9, 26?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.61872 - -5.98238. Let f = -0.0189 - d. Round f to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Suppose 534 + 178 = 4*t - g*z, -5*t - 5*z + 900 = 0. Suppose -4 = j - 0*j, -3*k + t = -2*j. What is the highest common factor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 8:48 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 + -2 - (23 + (4 - 11))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -40. Let u be ((-18)\/g)\/(6\/(-15)). Suppose -k = 4*h + 7, -u*k - h = -5 + 4. What is the lowest common multiple of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258070 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316 is divided by 1286.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2410027?\nAnswer: 2410027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 8:00 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 3*s**5 + 2*s**5 + 0*s**5 - 4*s**5 + (2*s**4 - 3 + 3)*(-2*s + 3*s - 3*s) + 0*s**4 + s**5 + 0*s**4.\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 12*u - 23. Let t be p(2). What are the prime factors of 33*(0 + 0 - (t + -12))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 853*c**2*u**3 + 2*c*u**3 + 2*c + 540*u**3 wrt c.\nAnswer: 1706*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2380 and 1299795.\nAnswer: 88386060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*1*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, c: 3}. Give prob of picking 2 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 6 = -27*p. Let d(c) = -3*c**3 + 4*c**p - 3*c**2 - 2 - 32*c + 16*c + 14*c. Give d(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (21\/(-4))\/((-129)\/1376) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/10 - 16196*r\/5 - 131155208\/5.\nAnswer: -(r + 16196)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22202202 - -1010010?\nAnswer: 100212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 1. Suppose -3*j - 5 = 2*j - 2*d, -2*j - 2 = d. Let m be p(j). Let n = -4 - m. Sort -4, n, 4 in decreasing order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43289, 86569, 129849?\nAnswer: 173129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 276?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 1 = -3*k - 3*o, -5*k = 5*o + 45 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -113. Let d be 98\/126 - ((-60)\/27 + s). What is the closest to d in 0.2, 6\/5, 0?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 12. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (1 - (4 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1836) + -5*sqrt(1836)*1 + sqrt(1836))\/(-2*(sqrt(363)*-1 - sqrt(363))))**2.\nAnswer: 1377\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5845, -5825, -5785, -5719, -5621, -5485?\n\"Answer: o**3 + 4*o**2 + o - 5851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 5*a = 28*y + 15, y + a = -10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c + 88. Let y be a(-27). Let p(z) = 13 + z - y*z + z - 19. Calculate p(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/5318971 or 0?\nAnswer: 15\/5318971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from fzivgiq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2 - 321325*w + 642646 = 0.\nAnswer: 2, 321323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5787548 rounded to four decimal places?\nAnswer: 0.5788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1616)\/404*3\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 258a (base 16) to base 9\nAnswer: 14157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32142\/6818*(-112)\/(-6)*1?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from wwry?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2516 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 4. Let j be (-18)\/(-4)*4\/6. Let o be x(j). Let l be ((-1)\/o)\/(4\/(-16)). Solve 4 = -l*f - 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {p: 2, y: 1, e: 1, z: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 7:41 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 11*g**8\/4 + 47*g**4\/6 - 269*g. Find the third derivative of u(j) wrt j.\nAnswer: 18480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:39 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2264.92 times 0.165\nAnswer: -373.7118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*f - 38. Let b(j) = j**3 + 11*j**2 + 9*j + 6. Calculate the smallest common multiple of b(f) and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153806.694 rounded to the nearest 10?\nAnswer: 153810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82.6 + -81. Let j = -23 - -24. Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/8 (c) 63 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -19*x + 22*x + 22, -91*x + 198 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b0b - 6b2?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*g - 170 = 0, -660*h - 125 = -655*h - 6*g for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 7*v - 3 + 6*v. Let j(n) = -7*n + 5. Let s(g) = 5*d(g) + 2*j(g). Determine s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6552 and 35660352?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1430 - -2064. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3716*p - 154 wrt p.\nAnswer: 3716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Let x = 65 + -64.985. Let v = x - 0.315. Sort 0.3, d, v.\nAnswer: v, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -z, 95*m + 3*z - 33 = 90*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c - 1 - 3*c + 7*c + 7*c**3 + c**2 - 28*c**3 - c**4 + 19*c**3 as y*c**4 + h*c + d + j*c**2 + m*c**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 223399 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 72 - 88 = 0. What is the closest to -1\/3 in n, 5, -1\/8, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 17 = -4*n, 2*i + 3*n + 5 = 39. What is the remainder when 101 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6335654 by -3637.\nAnswer: -1742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.16, 2\/9, -24\/5?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11009869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56\/37 in 2, 0.5, -0.1, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 1)*((m - 3*m - 3*m)*(-3 + 4 + 1) + 5*m - 2*m - 2*m + (-1 - 1 + 0)*(3*m - 4*m + 2*m) - 2 - m + 2 + 2*m - 4*m + 0*m).\nAnswer: 112*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/3 (b) 437 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7603 - -7607. Suppose s - 2 = 4. Solve 5*u + y = -s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2050 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 3*s. Let g(y) = -3*y - y + 2*y - 4*y + 2*y**2. Calculate 2*g(a) + 5*i(a).\nAnswer: -a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 23. Solve -3*m + 5*m - 11 = -w, k*w - 26 = -2*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133336361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and (4 - 51\/6)*-2?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5655*z + 876. What is the tens digit of f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1244 = 5*k + 2*a, -2*k + 4*a + 228 = -284. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-322)\/(-253))\/(16\/44))\/((-1)\/2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8798 + -50628?\nAnswer: -59426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 - 8*y - 6. Suppose -4*s - 54 = -6*s + 4*h, 0 = 4*s + 3*h - 119. Suppose -182 = 55*f - s*f. Give u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53057 and -0.5673.\nAnswer: -30099.2361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 5*h + 5. Let n be y(7). Suppose -139*g - 12 = -145*g. Let t(w) = -w**2 + g*w - w**3 + 13 - 5*w**3 + 7*w**3 + 10*w**2. What is t(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-26))\/(156\/(-16)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/20 - a**4\/24 - 5*a**3\/6 + 41*a**2 - 1. Let t be u(3). Solve 7*f = -16 - t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251629 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106 is divided by 280?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 11:09 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4 + 4 - a**2. Let t be (-4)\/42*-3*7. Let c(v) = t*v**2 + 3*v**2 - 3*v**2. Give c(i(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13292 - -13203. Is w greater than or equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Let c(f) = -f - 4 + 1 + r. Let u(o) = -2*o. Let s(i) = 5*c(i) - u(i). Calculate s(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:32 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 2, -82?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awllmyalaaymywlw. What is prob of sequence mwl?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 0*d - 8\/3*d**3 - 11\/2*d**2 - 5. Find the second derivative of n(k) wrt k.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 54 - 9*m - 22 - 28. Let l be t(-10). Is 2\/(-6)*l*73 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11100 and 47508?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.862 + 17.362. Let t = 11.9 - 6.5. Let j = 5 - t. Which is the nearest to 1\/4? (a) -16 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = z - 2*u, -3*u + 5 = 2*z - 0. Suppose 3*c - 5 = -4*y, -5*c + 6*y = 4*y - 17. Calculate the smallest common multiple of (0 - 22\/(-6))\/(1\/c) and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*w + 2, -4*v + 4*w + 11 = -9. Suppose 0 = -m + 2*p - 2, -m + 6*m + 4*p + 24 = 0. Which is the closest to v? (a) 5 (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/24 and -91\/372.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 79453 divided by 341\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13\/11223 + -98561\/65710665. Is 0 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 1. Let i be a(-5). Let m be (-3)\/(-2)*16\/6. Let u = m - i. Solve 4*k = 4*s + 8, 2*s + 2*k + 4 - 16 = u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*w - 77 = 97*w. Suppose 15*a - 340 = w*a. What is the highest common divisor of 85 and a?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-36)\/(-32)*-8 - (-16)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3, 4, 472, -2, -756 in descending order.\nAnswer: 472, 4, 3, 2, -2, -4, -756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1196404250 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 29, -0.3, 49\/3, 1\/6, -1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*j + 0*j = -8, 6 = -3*n - 3*j. Suppose 4*f - 2*f - 86 = n. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-7 - -7) - (1 - 3). Solve -2*m = 3*m + 3*a + 19, t = m - a + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12897 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 7*i**2 - 10*i - 58. What is the remainder when 53 is divided by j(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**4\/13 + 20*q**3\/13 - 58*q**2\/13 + 16*q\/13 + 96\/13 = 0.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) - ((-4)\/26 - (-19740)\/(-13650)). Factor 5\/4*d**g - 5\/4*d**3 + 15\/2*d + 0.\nAnswer: -5*d*(d - 3)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8986*d - 387967 = 981*d - 1255096 for d.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3)**(-2\/41)*(y*y\/(y**(-1)\/y*y))**(-45) assuming y is positive.\nAnswer: y**(-5541\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*l + 4*v + 9, -4*l + 16 = v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1868 - 0.\nAnswer: -1868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-102)\/(-153) + -11*1\/3. Let p be 3 + -1 + (-24)\/2. Is 1158\/(-4 - p) - n*1 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1014 + 1014 + 2*u**2. Let o(q) = 9*q + 5. Let l(h) = 63*h + 36. Let f(y) = -5*l(y) + 36*o(y). What is r(f(i))?\nAnswer: 162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 - 235\/40) + (-1)\/8. Which is the fourth smallest value? (a) -12 (b) z (c) -0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*m + 29, 0*m - 56 = -4*g - m. Suppose -4*o = -1 - g, -4*o = 5*a - 2041. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 64 = 7*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/6 and -133\/300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/32896 and 73\/64.\nAnswer: 32896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14609\/9, -25, 0 in increasing order.\nAnswer: -25, 0, 1, 14609\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(12870\/(-156))\/(-165)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98903 - 496116\/5. Which is bigger: -319 or k?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243675*u**5 - 12918195*u**4 + 181272*u**3 - 636*u**2.\nAnswer: 3*u**2*(u - 53)*(285*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 2 (c) 2.08 (d) 9 (e) -0.3 (f) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.8 - -182.2. Let g = -219 + i. What is the third biggest value in g, 1\/2, -3, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/(-161) + -4*(-4)\/(-56).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Let s be (-9)\/21*(-2)\/q. Let k = -2.6 + 2.6. Put -1, s, k in decreasing order.\nAnswer: s, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100607 - -5?\nAnswer: -100602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -110010100?\nAnswer: 110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169 and 840471?\nAnswer: 142039599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 105. Let t = h + 32. Which is the smallest value? (a) 2 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, 379, 2463, 6529, 13237, 23247, 37219?\nAnswer: 55813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177 + 172. Put 9, -1, r, 0 in decreasing order.\nAnswer: 9, 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73237, 292931, 659087, 1171705, 1830785, 2636327?\nAnswer: 3588331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (151 - 201) + (10 - 5 - -8)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16, 5.\nAnswer: -16, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((11 - (7 - 2) - 3) + -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p. Let i(q) = -4*q. Give -24*h(a) + 4*i(a).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 6. Suppose 3*g = -3, -w = -0*g + 2*g - p. Factor 2 - w*t + 10 + 41*t**2 - 34*t**2 - t**3.\nAnswer: -(t - 3)*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1389 divided by -463\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 626, 1, -4, -6, 1002 in descending order.\nAnswer: 1002, 626, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -16*c - 57. What is k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -1\/5, 0.305?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 371064182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24575720 divided by -18395\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)*c*c\/(c**3*c)*c*(c**(-2\/5)\/c)\/c**(-3\/5))**(1\/7) assuming c is positive.\nAnswer: c**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 42*d**3 + 4*d**2 - 26*d + 410. What is the units digit of y(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w + 25*w = -192 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x**2 - 14*x + 11. Let v(d) = 26*d**2 + 27*d - 17. What is 7*k(m) + 4*v(m)?\nAnswer: 6*m**2 + 10*m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5 + (-4 - -9) + 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2559070*r = -2559058*r + 1128 for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**16\/f)\/f**(-2))\/((f**(-7)\/f)\/(f\/(f*f**(3\/8)))))**(6\/11) assuming f is positive.\nAnswer: f**(615\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i + 11*i - 17*i as b + d*i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210 - 104*r**2 + 210 + 65*r**2.\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**3 - 2*a**2 + 4*a - 2. Let q be p(3). Let d = q + 61. Is (-538)\/(-15) + d\/(-210) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6) + 187\/154.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112490, -224992, -337494, -449996, -562498, -675000?\nAnswer: -787502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/17)\/v**2*(v*v*v**(-3))\/v**3)**(-48) assuming v is positive.\nAnswer: v**(4992\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 5969 = 2*h + 5907, -5 = h for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 81. Let p be 3\/((-108)\/d) + 1870\/9. What is the highest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0\/(1 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -16. Let d be -2 + (0 + m - -5). Solve 3*k + 22 = 2*x, 4*k + x + 1 = -d*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 442 + -438. Put 11\/7, 2, f in decreasing order.\nAnswer: f, 2, 11\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 = -69*h - 323 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y - 11. Let l be p(-5). Suppose 15 = a + l. Suppose -a*s + 21 = -9. Solve 0 = 2*f - q + 8 + 2, 0 = -s*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -20*q**3 + 12*q**2 + 20*q. Let i(g) = -7*g**3 + 4*g**2 + 7*g. Let d(s) = -6*b(s) + 17*i(s). Is d(5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x**3 - 2*x**2 - x. Let t be i(-1). Let s be (-6 + 2)\/(-19*2). Put -5, s, 3, t in increasing order.\nAnswer: -5, s, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1 - (-4 + -27))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 202\/5 + 172\/(-430). Suppose 4*v + 32 = 4*h, h + 4*v + 15 + 2 = 0. Suppose -h*w + 19 + 29 = 0. Calculate the highest common factor of w and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 167 - -4?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 42 = 2*x + 3*x, -10 = 2*x + 5*o. Let q be (-1 + 0)*x\/90. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l + 61*l - 33*l + 21.\nAnswer: -l + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**5\/8 + 9*y**4 + 1104*y**3 + 40557*y**2\/4 + 182691*y\/8 + 55167\/4 = 0?\nAnswer: -37, -7, -2, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 34\/(-8))*4*(-20)\/60?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/8)\/(144\/(-768)) + 62\/102.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091572 times -0.2?\nAnswer: -418314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -13*n**4\/7 - 557*n**3\/7 + 684*n**2\/7 + 1052*n\/7 - 176\/7 = 0.\nAnswer: -44, -1, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 + 12.13. Let r = -7.2 + 19.1. Let k = u - r. Is k bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 3*y - h - 19 = 0, -5*h = -3*y + 5. Let v be (-45)\/(-12) - y\/20. Solve q + v = -3*x, -4*x - 9 + 2 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4 = 0, 0 = -8*c - 4*t + 16 - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 2.3, -5, 0 in ascending order.\nAnswer: -5, -4\/9, 0, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 - -112 - (2 + -1) - (-18 + 27)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.7 - -17. Let x = -5.3 + l. Which is the nearest to -2\/5? (a) 0.2 (b) 2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 25 = -0*h. Let 3*c**3 - 3*c**h + c**5 + c**3 - 2*c = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -136*n**3 - 427*n**2\/2 + 3*n + 3. Is j(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 135251.\nAnswer: 25968192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 3*o**2 - 12*o + 8. Calculate f(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 v, and 1 d when four letters picked without replacement from rrroodoorrooovdd?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -6) + 5*28. Suppose 0 = 5*k + x - 627. Let v = -64 + k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1071110 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(104) + (-5*sqrt(104)*-1 - sqrt(104)))*5)\/(sqrt(40)\/sqrt(45) + sqrt(8) + sqrt(128)*4).\nAnswer: -75*sqrt(13)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:40 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Suppose 4*f + i = 24, -4*f - 2*i = -g*i - 24. Solve 0*z - f = 2*w - 2*z, -2 = 2*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(88)\/(sqrt(132)\/(sqrt(120)\/sqrt(10))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u**4 + 2*u + (-2*u - 3 + 3)*(-u - 10*u**3 + u))*(-2 - 1 + 1).\nAnswer: -42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2 + 234018*t - 234015 = 0. What is t?\nAnswer: 1, 78005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 419 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 137\/2209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 350 - 187. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 20\/3, 24, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/4 - 291*i**2\/4 - 495*i + 568 = 0 for i.\nAnswer: -284, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78386258 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77130079*3.\nAnswer: -231390237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-342)\/38 + (-25806)\/(-6). What is the highest common divisor of 348 and c?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -240.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44511 less than -0.4?\nAnswer: -0.84511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8097 - -0.804049. What is n rounded to four decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 8. Suppose -4*n - 5*t - 17 = 0, -t - 15 = 2*t. Let x = g + n. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) -2\/3 (c) 5 (d) 1 (e) -0.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49401.21ml to litres.\nAnswer: 49.40121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-5))\/((-10)\/25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.4 - -53.4. Which is the nearest to 1? (a) i (b) 3\/2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/12)\/((-2)\/(-34)) - -1. Let b be ((-3*4\/x)\/(-3))\/(-1). Put b, 1, 0.4, 4\/9 in descending order.\nAnswer: 1, 4\/9, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*y - y. Suppose -y*i + 0*i = 0. Let a(z) = z**2 + z + 6. Determine a(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200814846?\nAnswer: 2, 3, 17, 1968773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -16*r**8\/7 - 256*r**7\/7 - 156*r**6 - 324*r**5 - 3105*r**4\/8 - 567*r**3\/2 - 210*r**2 - 2. Factor u(z).\nAnswer: -3*(z + 7)*(4*z + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4556 = 3*c + 191230. Does 149 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 7. What is the units digit of 1*c\/2*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1487236281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643281 is divided by 214.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88412, 175356, 262300, 349244, 436188?\nAnswer: 523132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 205.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 - (68 - 62)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, v: 5, i: 1, d: 2, k: 3, j: 6}. Give prob of picking 1 v, 1 k, and 2 z.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 > 606704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 31*u**3 - 2013*u**2 - 131*u + 44. What is v(65)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 0*h**5 + 1\/4*h**4 + 6*h + 5\/28*h**8 + 0*h**7 + 0*h**3 + 0 + 0*h**6 + 0*h**2. Find the third derivative of p(x) wrt x.\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a**(-4\/3)*a**3*(a*a**(-1\/5))\/a)**33 assuming a is positive.\nAnswer: a**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 0.35862.\nAnswer: 0.85862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142856649 and 5890?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - 2*d**2 + 2*d + 3. Suppose -4*k - 14 = -2*x, -2*k = 5*x + 8 + 5. Suppose 5*n - a = 12, -3 = -2*n - a - 1. Let p = k + n. What is m(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + n**2 - 5*n**2)*(2 - 1 + 0)*(592 - 193 - 145).\nAnswer: -254*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 258959*r**2*v - 9*r**2 + 7460524*v wrt r?\nAnswer: 517918*r*v - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**3\/3 + 2*c**2 + 1880. Let z(u) = u - 1. Let q be z(6). What is r(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**3 - 4315852*b + 12897413 wrt b.\nAnswer: -24*b**2 - 4315852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 40 = 2*h. Let z(u) = u + 10. Calculate the remainder when 77 is divided by z(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34240 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168127 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 52, 123, 212, 313, 420, 527, 628?\n\"Answer: -j**3 + 18*j**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c19 + -3?\nAnswer: 5c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 514, 528, 546, 568, 594, 624, 658?\n\"Answer: 2*f**2 + 8*f + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, r: 1, i: 1, l: 5, w: 2, v: 2}. Give prob of picking 1 r and 2 l.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6838106 is divided by 2279365.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27464 to 3 decimal places.\nAnswer: 0.275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 1786, -2\/15, -0.3, -0.1, -0.01, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 17. Let y be v(-13). Suppose 3*z = 7*f - 2*f + y, 3*z - 2*f = 7. Calculate the remainder when 4 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 619 and 425872.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-1*sqrt(400)*-2 - sqrt(400))\/sqrt(8))\/(sqrt(10) + sqrt(10)*-2*4 + sqrt(10) + sqrt(50)\/(sqrt(20)\/sqrt(4))) + 0).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 323 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 537*p.\nAnswer: 3*p*(p + 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*z - 8*z. Let b = 8 + z. Suppose b*y - 13 = -1. What is the second biggest value in -0.03, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -6*d**3\/5 + 1898*d**2\/5 - 37802*d\/5 + 2478 = 0.\nAnswer: 1\/3, 21, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = 3. Let a = 0 - w. What is the units digit of a\/((-6)\/(-16)*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + -3)\/(-4 - -5). Solve -u*x + 13 = o, 4*o - x = -o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17832, -35669, -53508, -71349, -89192, -107037?\n\"Answer: -x**2 - 17834*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/7, 86, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4239 + -7?\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 + 8*p**2 + 8*p - 12. Let h(j) = 4*j**3 + 6*j**2 + 6*j - 11. What is 4*h(x) - 3*t(x)?\nAnswer: 4*x**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 - 316*a**2 + 111*a - 283. Give t(105).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {y: 1, u: 1, h: 2, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/135*(-6 - (-40)\/8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82499340 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-36) + 3\/(-18).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 5, u: 6, g: 4}. Give prob of sequence tgw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -18, -8, -3, 3 in descending order.\nAnswer: 3, 0, -3, -8, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by 737\nAnswer: 62\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6772 a factor of 331210969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (3 - (-32902)\/(-200)). Let b be ((-6)\/(-4))\/(-1)*(-1941)\/(-18). Let h = b + f. Is h bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 2*y + 1. Let s(u) = -16*u**2 - 11*u + 5. Let h(r) = 2 + 4*r - 4*r - r**3 - 3*r**2 + 5*r. Let f be h(-4). Give f*s(z) + 11*v(z).\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1\/2)*c)*c*((c*c\/((c\/(c\/(c*c**(-1\/30)\/c)))\/c*c)*c*c)\/c)\/c*c)\/(c**(6\/7)\/(c\/((c*c**(3\/17)*c*c)\/c))))**(-25) assuming c is positive.\nAnswer: c**(-22310\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -567970, -1135575, -1703180?\nAnswer: -2270785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1244*p**2 + 16*p + 644*p**2 + 626*p**2 + 19*p.\nAnswer: 26*p**2 + 35*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 27.\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 71 + (-42)\/(6 - 12). Suppose -10*l + r = -52. What is the remainder when 55 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let n(w) = 2*w**2 + 3*w - 1. Let s be n(g). Calculate the greatest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxuhhuuwjhu. Give prob of picking 1 j, 2 h, and 1 w.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39 from -301.695158573.\nAnswer: -262.695158573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(5 + -13) - -185969. Suppose 0 = 4*v + 3*h - z, 3*v - h - 62388 = 77083. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 385 and 112.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12508325 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2561 (b) 4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Let u be 4*j\/6*1. List the prime factors of u\/7 + (-612)\/(-63).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -12, 0 in increasing order.\nAnswer: -38, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12159 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 2*a + 2. Let h(o) = 12*o**2 + 18*o + 18. Let i(v) = 30*v**2 + 53*v + 53. Let t(d) = 8*h(d) - 3*i(d). Determine -15*b(j) - 2*t(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 10) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -k + 3. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 19 + 55*x**3 + 6.\nAnswer: 55*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*i + 2. Let r(y) = -7*y**i + 0*y**2 - y**2 + y**3. Calculate r(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -10 - 0) + 3 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/16 + 234\/8*104\/624. Solve 3*g - 29 = w*t - 5, 4*t + 15 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:00 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -416 + 407. Which is smaller: -16 or h?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761\/2 - (-2)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**2*s**2 - 408137*j**2*s + 7*j**2 + 211*j*s**2 + 2*j*s - 3*j - 5*s**2 - 544*s wrt j?\nAnswer: -16*s**2 - 816274*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -1\/11*g**2 + 0 - 2*g + 1\/66*g**4 - 2\/55*g**5 + 4\/33*g**3. Solve w(i) = 0 for i.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44385.32 to the nearest 100.\nAnswer: -44400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h**2 + 4*h. Let f(g) = -11*g - 33. Let p be f(-3). Suppose -9*d + 8*d - 1 = p. Let q(b) = b**2 + b. Calculate d*v(x) + 4*q(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1047309, -2, -467 in ascending order.\nAnswer: -467, -2, 1047309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 29904\/(-356)*27\/(-252)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let l(q) be the third derivative of -191*q**5\/60 - 2*q**2 + 49. What is m(l(y))?\nAnswer: 36481*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1136808*g**5 + 7*g**4 + g**3 + 108063111*g?\nAnswer: 22736160*g**3 + 84*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3*y + 4)*(-2*y + 24*y - 424*y**2 + 420*y**2) to the form b + k*y**3 + m*y + p*y**2 and give p.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Let s(l) = l**2 - 6*l + 41. Let x be (-4)\/(-36)*-1 - (16\/18 - 2). Give x*s(v) + 6*g(v).\nAnswer: v**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*-320911\nAnswer: 320911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ngnnnnnnnnnng.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*m**3\/4 - 869*m**2\/2 + 58*m = 0. What is m?\nAnswer: -116, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, -5\/19 in descending order.\nAnswer: 1, -5\/19, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.65394*0.1.\nAnswer: 0.665394","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 61727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, n: 1}. Give prob of picking 2 h and 1 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + -0.03. Let i = -185.895 - 0.305. Let n = -186 - i. What is the third smallest value in -5, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - d = -11, 17*d = 2*q - 147 + 49 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 16167?\nAnswer: -2\/16167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 34009?\nAnswer: -102027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8554 and 376423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.315982 kilometers to millimeters.\nAnswer: 7315982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -402383 or -2011908\/5?\nAnswer: -402383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)*s**(3\/5)*s**0*s*s**(-3) assuming s is positive.\nAnswer: s**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.029?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-97 + 2)*3\/(-1). Let b(f) = -1528*f + 197587. Let n be b(129). What is the highest common factor of n and t?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*r - 448, 3*r + 5 = -7. Let c be 13\/((-78)\/v) - (-6)\/3. What is the highest common divisor of c and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 204 - 139. Let g be 1 - -26 - (-1 + 2). Calculate the greatest common divisor of d and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9481*w - 5835 wrt w?\nAnswer: -9481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4502300 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 58, 118, 178, 238, 298, 358?\n\"Answer: 60*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 3*d + 4. Calculate a(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 + 30\/7. Let y be (5\/4)\/((-1)\/i). Let w be 6\/(-10) - 4\/10. What is the closest to -1\/2 in y, w, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 29?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 1:01 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-54))\/((-58149)\/149526).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/11 - 9\/11.\nAnswer: (o - 3)*(o + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**4 - 283432*s**3 - 5023123108*s**2 - 80315558976*s - 321189693696 = 0.\nAnswer: -35421, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 1)\/((-4)\/(-6)). Suppose -5*r + n + 23 = 0, 17 = l*r + 2*r + n. Solve -3*b = -4*p - 1, 0 = -4*p - 3*b + r - 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 4*m + m)*(-167*m + 335*m - 176*m - 7) in the form r + a*m + x*m**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.088 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -37) + (7 - -139) + -71.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a + 8. Suppose 6*q = 3*q + a. Let l(s) = 35*s + 9. Is l(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) + (-4)\/4. Suppose z*r = -2*r + 4. Suppose -r*t + 59 = 5*y, 2*t - 14 - 1 = -y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.819 - -1.181. Suppose x - 4*x = 2*w + 11, -9 = -3*x + 3*w. Which is the smallest value? (a) -28 (b) r (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**4 - 9 + 1935*p**2 + 1 - 2014*p**2 - 11 wrt p?\nAnswer: 8*p**3 - 158*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -4*r + 178. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-2093)\/819)*(-27)\/42?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/7, -5\/6, 1.7 in increasing order.\nAnswer: -5\/6, -2\/7, 2\/11, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7024 divided by 1756.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10)*(9 - -1). Suppose 6*d - i*d - 54 = 0. Does 28 divide d + (-1 - (0 + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 166003?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3557, 3, -24 in descending order.\nAnswer: 3557, 3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + -5 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1264699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3165*u**3\/2 - 28497*u**2\/4 - 15771*u\/4 + 15\/2 = 0.\nAnswer: -1\/2, 2\/1055, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**6\/90 + r**5\/15 - r**3\/3 - 12. Let z(n) be the third derivative of s(n). Factor z(g).\nAnswer: -4*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {e: 1, t: 1, u: 3, y: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*sqrt(32)*-2 + 3 - (sqrt(512) + (sqrt(512) - (sqrt(512) - (sqrt(512) - (sqrt(512) + 2)))))*1)*4)**2.\nAnswer: 10240*sqrt(2) + 34368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -9632.5\nAnswer: 9632.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**6\/180 - 7*r**3\/3 - 2. Let b(k) be the third derivative of h(k). Let s(g) = -14*g. Give b(s(m)).\nAnswer: -392*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-25))\/(1\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -9*n. Let y = 2 - 0. Suppose n*i + 2*i + y = 0. Which is the nearest to i? (a) -5 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:32 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -4521, 5 in descending order.\nAnswer: 5, 4, -1, -4521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 7)*(-n**3 + 3*n**2 - 3*n**2) + (4*n - 9*n - 20*n)*(2*n**2 + 0*n**2 + 0*n**2) to the form r*n**3 + s*n + i + x*n**2 and give r.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Solve 3*g = -d*g + 3*u - 3, 4*g = 3*u - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (381\/508)\/((-1)\/(-2)*((-1050)\/20)\/15)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*b + 147 + 87 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -2. Let k(t) = -t**2 - 3*t + 5. What is k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110555 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**1)\/z)*z)\/(z**(-2)\/z))\/((z\/((z*z\/z**3*z)\/z*z))\/(z\/z**1)) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82323?\nAnswer: 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/4 - 21*t**3\/4 - 9*t**2\/4 + 93*t\/4 - 15 = 0. What is t?\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 21*v - 5 = 19*v, 3*v = -4*n + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 171 + 199 + 208)*(3*v - 2*v + v).\nAnswer: 862*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2157170 divided by 2157170\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 221, 441, 661, 881?\n\"Answer: 220*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45398.\nAnswer: 2, 22699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 218b7bde + 5?\nAnswer: 218b7be4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 113*t**2 - 311*t + 9890. Determine f(111).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*((-4)\/(-24))\/(1 + (-28)\/21). Let u be 1*4\/(-10)*-5. Suppose -2 = 4*t - 14. Put p, t, u in descending order.\nAnswer: t, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 324022636 or 324022637?\nAnswer: 324022637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 181060870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 + -72. Suppose 0*a = -3*a + f. Let c(m) = -a*m**2 + 18*m**2 - 9*m**2. Let k(g) = -8*g. What is k(c(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1331)*-2)**2 + sqrt(1331) + sqrt(1331)) - (-1 + -1 + sqrt(1331) + sqrt(1331))**2.\nAnswer: 154*sqrt(11) + 10644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1022 and -9?\nAnswer: -0.9198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 151*v**2\/7 - 375618*v\/7 + 375467\/7 = 0. Calculate v.\nAnswer: 1, 375467\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/1804 - (-14 - (-1144)\/82).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 127*l - 586, -53 = 5*l - 33 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 + 475\/4. Let x = -6 - -13. Which is the biggest value? (a) o (b) 1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(98) - (-5 + 0 + sqrt(98)))*-1 - -5*(sqrt(98) - (sqrt(98) + (0 + sqrt(98) - sqrt(98) - sqrt(98)) - sqrt(98))*2)*-3)**2.\nAnswer: -3150*sqrt(2) + 198475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 1 - 11 = 4*s, u + 8*s = -36 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 - 578*j + 3292. Give p(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = g - 4, -m - m + 4*g = -14. What is the nearest to -9\/5 in -0.4, m, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 17 = -5*j + 4*r, 2*j - r - 5 = 0. Suppose -5 = j*t - 21. Let z = -4 - -2. Which is the biggest value? (a) t (b) -3\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 20210642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -3*w + 3*d + 4, -5*w + 2*d = -14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*i - 9*i + 1550. Let l = -221 - i. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4968967711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2449 by 31.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183158 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145376 and 135520?\nAnswer: 7995680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 9. Let q(c) = -3*c**2 + 9*c + 15. Let n(s) = -2*s**2 + 11*s + 3*s - 2*s**2 + 22. Let r(a) = f*q(a) + 5*n(a). What is r(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (370 + -59 + 64)*2\/6 - 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**5 + 66*l**4 + 72*l**3 - 66*l**2 - 69*l = 0.\nAnswer: -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 21*l**4\/4 + 30*l**3 - 435*l**2\/4 - 825*l\/2 + 126 = 0.\nAnswer: -7, -3, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.0514 months in centuries?\nAnswer: 0.2942095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1827*-42.\nAnswer: 7.6734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**6*(l**(-2\/3))**35 assuming l is positive.\nAnswer: l**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*b**3*f**3*n + 3*b**3*f**3 + 2*b**2*f**2*n + 58*b*f**3*n + 51*b*n wrt b?\nAnswer: 456*f**3*n + 18*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 60 = -0*l. Suppose -3*v + 8 = -4*n + 1, -18 = n - 4*v. Let b be (-90)\/l + 3\/n. Solve -t = 2*t - b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-27))\/((-2)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 45?\nAnswer: -7\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 9\/((-144)\/(-416)). What is the closest to 1 in 0.4, -2\/9, v, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1328 and 14276?\nAnswer: 57104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + j - 4*j**2. Let r = 2 - -1. Let t(m) = m - 3 + r. Calculate i(t(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -0.1022, -109, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53449 and 6149?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -59*g + 46*g. Solve g*j + 8 = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 - (-5 - -1 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**4*c)\/c)\/c*c\/(c\/((c*((c**8\/c)\/c)\/c*c)\/c*c*c)))**27\/(c**(6\/13)\/c**(-7))**26 assuming c is positive.\nAnswer: c**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g - 16. Let j(v) = 2 + 2*v - g*v + 6*v. What is the tens digit of j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38192572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-43))\/36)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1, -188677, -49 in increasing order.\nAnswer: -188677, -49, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-4)\/(-16)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*d + 282. Suppose 5*h + 5 = d. What is the lowest common multiple of h and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7720\/18335)\/(3*2\/38)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 511 = -479. Solve 5*x + k = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 49*j - 2874077 = 54*j, 5*u - 8*j - 4790131 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(180))**2 + (sqrt(5) + -1 + -4)**2)*6.\nAnswer: -60*sqrt(5) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 13. Suppose -14 = 2*k + 4. Let w be r(k). Solve -w*p + 12 = 0, -4*t - p + 2 = -13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.426 - -8.574. Sort -3\/4, -5, g in decreasing order.\nAnswer: g, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 15*j**2 + 30*j + 8. Calculate the least common multiple of z(11) and 16.\nAnswer: 6576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.72895\nAnswer: -0.072895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 82) + (6 - (4 + 2) - (9 - 22))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -2. Let k(p) = -p**3 - 23*p**2 - 22*p - 3. Let a be k(w). What is the closest to -0.2 in a, -2, 3\/11, 0.5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 4, 5, -0.4, -1\/3, 214 in ascending order.\nAnswer: -0.4, -1\/3, 0.04, 4, 5, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 23 = -5*f, 22 = 5*f + 3*b - 6. Suppose -2*u - u = f*x - 31, -3*u - 1 = x. Suppose 12 = o - x. Calculate the greatest common factor of 30 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 7*m**2 - 2*m - 11. Let a be x(-7). Suppose 261 = a*f + 78. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24216434 a multiple of 1466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -247\/132 - -9\/44. Put 0.4, -2\/5, 1\/4, k in increasing order.\nAnswer: k, -2\/5, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 49*m**2 + 369*m + 1518. Calculate c(56).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -952666 divided by -286.\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 188*p**3 + 4*p**2 + 4*p. Let y(m) = -7521*m**3 - 161*m**2 - 161*m. Calculate -161*o(f) - 4*y(f).\nAnswer: -184*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 194014 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 + 110. Let s(o) = -3866671*o - 13. Let m be s(y). Round m to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.425 to zero dps.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 2:43 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1218\/(-116)*132\/(-7). Suppose 54*l + i = 60*l. Calculate the remainder when 93 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, -2, -0.22.\nAnswer: -4, -2, -0.22, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-63))\/(7\/(-7))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -0.8. Suppose -2*d - 5*j = -6, -3*d + 2*d + 3 = -2*j. Suppose f + 5 = d. Sort -0.2, l, f in ascending order.\nAnswer: f, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 37\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620068.\nAnswer: 2, 155017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*h + 39. Suppose 3*v + h*b - 56 = 0, v - 2*v - 2*b = -20. Is 40 a factor of (-4 + (-44)\/(-8))\/(v\/344)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4839664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 10)*((-2*r**3 + 2*r - 2*r)*(1 - r - 1) + r**2 - r**2 + r**4).\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*b - 2*b. Let x be b\/10*(-15)\/6. Let q be 1*5\/x*-1. What is the smallest value in 0, q, 3\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20551, 41919, 63287, 84655?\n\"Answer: 21368*h - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3518 + 634 = 0. Suppose 11*l + q = 3524. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 202*g**2 - 575*g - 7. Is w(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + s + 60. Suppose 3*m - s = -2*m. Differentiate 2 + m + 3*f**3 + 0*f**3 with respect to f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 5 (c) -1 (d) -12\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 1\/16 (c) -12 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 11*p - 9. Let g be z(-10). Let f = -13 - g. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**4 - 47892*l**3 - 2*l**2 + 1302*l - 7 wrt l?\nAnswer: -48*l - 287352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1724, 3449, 5174, 6899, 8624?\n\"Answer: 1725*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1061 - 3288 + 1091 - y**3 + 1110.\nAnswer: -y**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0.047, -133, -3, 124?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -125. What is the remainder when j is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 11 = 5*w. Is w < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/20 + 7*c**4\/12 - 5*c**3\/3 - 2*c**2 + 989*c. Calculate g(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118.2 + 105. Let j = 11 + l. Let n = 2 + j. Is -1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Find the third derivative of -4*t**5 - 2*t**i + 1 - 1 wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**5 - z**5 - z**5 + 4*z**5 - 3*z**5 + 0*z**5 + (-3*z**3 + 3*z**3 - 2*z**4)*(-2*z + z + 0*z))*(-54 + 17 - 12).\nAnswer: -245*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 = 0, -2 = 5*i - 3*c - 15. Let b(n) = -23*n + 178. Let a be b(7). Differentiate 2 - a - 10*w**i + 4 with respect to w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 11206?\nAnswer: -5\/11206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -5\/2 (c) -4 (d) 3\/7 (e) -143 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 - 147. Suppose 51 = 2*t - s. Calculate the greatest common divisor of t and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76796.\nAnswer: 2, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4 + ((-23)\/(-6) - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*p + 210*p + 604 - 14 = 0. Let o(d) = 156*d + 11. Let g(q) = 31*q + 2. Give p*o(z) + 11*g(z).\nAnswer: 29*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111011111100001 (base 2) to base 12.\nAnswer: -30881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5*g + 132, -5*g - 75854*z + 75859*z = -120 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/27? (a) 1 (b) -2\/13 (c) -1\/7 (d) -0.051 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77636 - -4?\nAnswer: 77642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*b - 63*b + 28*b)*(0*b - 3*b + b + (-b - b + 3*b)*(-2 - 3 + 3) - b + b - b).\nAnswer: 245*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 21*f + 1. Let c(r) = 10*r + 1. Calculate 5*c(y) - 2*l(y).\nAnswer: 8*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 4 - 2 + 7)*(-426*b - 209*b + 77*b)*(-2 + 1 - 1).\nAnswer: -4464*b**2 + 1116*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -7325.\nAnswer: 512.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 1\/5 + (-8)\/40. Does 11 divide (m\/(-6) + 203\/42)*32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -240 - -246. What are the prime factors of -42*(90\/8)\/(b\/(-4))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -1\/4 (c) 914 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 57, 10 in descending order.\nAnswer: 57, 10, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2443 - -2431. Sort u, 1.3, -2 in descending order.\nAnswer: 1.3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6*6\/(-2). Suppose 0 = -k + c - 4. Let f = -4\/37 - -110\/333. Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41052939 and 4636.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3 (b) 2\/5 (c) -0.2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368094457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 659467555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/3 + 3*k**2\/2 + 2*k. Let a(m) = -3 + m**3 - 7 - 7*m**2 - 4*m - 3*m. Let u be a(8). Give s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295 + 306 + (14 - (-1 - 5)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 9.42. Let q = z + -0.272. Let h = q - 7.248. What is h rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, r: 5, g: 3, j: 2, n: 3}. What is prob of picking 1 r, 2 g, and 1 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from {c: 7, y: 7}.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*q + 0)*(3 - 9 - 1) + 1 - q - 1 - 3 + 3 + q + 6*q - 2*q - 2*q)*(-2*q**2 - 2*q**2 + 2*q**2).\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25476, 208701, 706016, 1674465, 3271092?\n\"Answer: 26174*l**3 + l**2 + 4*l - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**6\/10 - 3*r**5\/5 - r**4 - 214*r. Suppose c(n) = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 - 7*n + 6. Let x be t(-7). Let v = 137 + x. Let u(w) = 2*w - 5. Let g be u(10). What is the greatest common divisor of g and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**(-1)*u)\/u)*u)\/u*u\/(u\/(u**(-1\/2)*u)))**(-4\/15)\/(((u*u\/(u*u**1)*u)\/u*u)\/u*(u*u**(3\/5))\/u*(u**(-1\/8)\/u)\/u*u*u*u**(3\/8)\/u) assuming u is positive.\nAnswer: u**(-31\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 63*h = 147 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = w - 33, 8 = -2*t - 0*t. Let d = w - 11. Solve 5*l + 2*h = 2*l + 20, d*h = 3*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u**2 + 3*u - 24. Let g(h) = 13*h**2 + 3*h - 19. Let w(a) = -6*g(a) + 5*j(a). Determine w(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-321)\/(-15) + 4\/(-10). Let c = 31 - x. Is 4\/c + (-223)\/(-5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 57 - 258 = 4*u, 0 = -2*h + 5*u - 363. Suppose 5*d = 5*b + 30, 5*b + 5*d - 14 = 2*b. Is b\/(-5) - h\/15 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, -3, 0.02, 0.2, -2, 55\/2, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 989.8 - 1083. Let o = f - -82. What is o rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 90*q - 83. Let h be a(-44). Solve h*r + 127 - 107 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 17*f - 21. Let d be o(15). Let s = d + 6. Is 11 a factor of 2\/(-6) + 605\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**5 - 3615*c**4 - 156705*c**3 + 8955035*c**2 + 210957600*c - 7372811520 = 0.\nAnswer: -48, 29, 761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.8 + 10.8. Let n = -8 - -3. Let l = n + b. What is the smallest value in 0, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 384 = i - 162, -l - 34 = -3*i for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -31*k + 96. Let q be a(3). Let p(x) = x + 3. Let g(u) = -29*u**2 + u - 13. Let c(o) = q*p(o) - 3*g(o). Find the first derivative of c(r) wrt r.\nAnswer: 174*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22410424 (base 5) to base 16.\nAnswer: 31023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 486961639 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7654526622*f**2 + 7654526622*f**2 + f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*j + 5, 0 = l - 0*j - 3*j + 8. Suppose -8*r + 13 = -m - 4*r, 0 = 2*r - 10. Solve m = c - p + l, -4 = c + 4*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 j when four letters picked without replacement from {r: 3, j: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - -4) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1521826 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 36862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.2 (b) -3.13 (c) -1489 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + q - 11 = -2, 3*x = 3*q + 27. Suppose -5*i - 149 = -x*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - 13) + (-6)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201015.899 minus -2152375?\nAnswer: 1951359.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 60*u + 471. What is z(10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 37. Suppose -2*h = -k*h + 595. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 3*y**2 + 2*y - 1. Let o be i(-2). Suppose 0 = -2*b + 10*j - 5*j + 1707, -5*j + 7654 = 9*b. What is the highest common divisor of b and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + (-9 - (-6 + 1)) + -6. Factor -s**2 - 1\/2*s**u + 1 + 1\/2*s.\nAnswer: -(s - 1)*(s + 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 800760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 13402680*t + 93818515.\nAnswer: 5*(t - 2680529)*(t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u**2 - 28*u - 5. Let t be i(-3). Sort -5, 0, t, -1 in ascending order.\nAnswer: -5, t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 262*q + 13364. Determine n(-51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301 + 4. Let x be (-3 - 1)*j\/132 + -5. Solve -3*s = -3*m + 3, -2*m - 3*m - x*s - 31 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12603 not equal to -695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h - 13. Let k(y) = -61*y**2 + 5*y - 15. Let c(j) = -90*j**2 + 7*j - 21. Let v(z) = -5*c(z) + 7*k(z). Determine v(i(x)).\nAnswer: 368*x**2 + 2392*x + 3887","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 72 - 66 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/30 + v**4\/2 + 3*v**3 - 11*v**2. Factor k(j).\nAnswer: 2*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104319*i**3 + 2*i**2*p**3 - 2*i**2*p + 2*i*p**3 + 58*i*p - 2*p + 70 wrt i.\nAnswer: 625914*i + 4*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 661247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b**3 + b**2 + 17*b + 23. Let t(x) = -3*x**3 + 6*x + 8. Calculate -6*c(z) + 17*t(z).\nAnswer: 3*z**3 - 6*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 16 = 7*f. Let m be (0 - 8\/f) + 2. Suppose -m*c - 6 = -38. Solve 2*a - 2 = c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d + 3. Let p be v(2). Let l = 9 + p. Is (l\/12)\/((-2)\/942) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74338\/15 + 4956. Which is the fourth smallest value? (a) -148 (b) m (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l\/l**(-3)*l))*l)\/(l\/(l\/(((l*l**(-35)\/l)\/l)\/l))))**(3\/17))**(-2\/31) assuming l is positive.\nAnswer: l**(-252\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 3:22 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000258098 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.2 - 0.2. Let u = v - 7.4. What is the nearest to 2\/3 in 1\/3, -0.5, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**4\/24 + 2*b**3\/3 - b**2. Suppose j + 12 = 2*j. Let p be -5 + j - (4 + -1). Determine r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = i + 3*r, 7*i = 8*i - 3*r - 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2321639.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7 + 0*i - 7 + i. What is m(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.4, 2\/13, -4, 286.\nAnswer: -10, -4, -0.4, 2\/13, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(152) + sqrt(152) - (5*sqrt(152)*-1 + sqrt(152) + sqrt(152)))\/((sqrt(64)\/sqrt(4)*-1)\/(sqrt(8)*-2)).\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 375\/36 + 56\/(-84) + (-3)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143456?\nAnswer: 2, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.553 - 0.053. Let n be 2\/(-9) + 2\/9. What is the second smallest value in 3, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -2, -11976, -1, 0, 16 in increasing order.\nAnswer: -11976, -5, -3, -2, -1, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssppsp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -7*c**5\/5 - c + 7. Differentiate u(h) with respect to h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25.6 + -27.37. Round p to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 12*d**2 - 12*d + 3. Let m be u(-13). What is the common denominator of 14*11\/(-80) + 2 and (-4 - 36\/m) + (-638)\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - 216 + 216 + 8*s - 4*s. Let u = 3 + -1. Let x(z) = -7*z**2 + 14*z**2 + 9*z**u. What is x(q(v))?\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2899 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + ((-7002)\/(-35))\/(-2) - 8\/14. Are a and -101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1187, -1182, -1175, -1166, -1155, -1142, -1127?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*m - 210*m - 45346 = -752*m for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2015*w + 505*w + 504*w + 493*w + 500*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + -14 - -22) + (8 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 401, 735, 1067, 1397, 1725, 2051?\n\"Answer: -u**2 + 337*u + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -60*n + 21. Let p(j) = -j. Let z(d) = -11*d + 2. Let x(y) = -5*p(y) + z(y). What is -2*f(l) + 21*x(l)?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 166979 times 23?\nAnswer: 3840517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/24 + 2\/8. Let d = p + -1. Suppose -2*l - 3*t = 2*t - 2, l + d*t - 2 = 0. What is the highest common factor of 54 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 19689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.0421 + -1.0439133. Round u to 5 decimal places.\nAnswer: -0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24079291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 746690 or 746523?\nAnswer: 746523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 25640450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 6. Let v be a(-3). Solve -x + 6 = j - 2*j, v*j - 6 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4 - 520*y**3 + 40646*y**2 - 845880*y + 805752 = 0.\nAnswer: 1, 31, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(sqrt(128) - (sqrt(128) + (sqrt(128) - (sqrt(128) - -1*sqrt(128))))) + sqrt(128) + (sqrt(128) + 0)*4)**2.\nAnswer: -96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd938 (base 16) in base 2?\nAnswer: -11001101100100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39955 and 11385?\nAnswer: 90977535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 + -0.03. Let l = -2.6 - -2.6. What is the second biggest value in w, 0.24, l?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.536426805 rounded to one dp?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -994 + 993.8. Is n bigger than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1453914 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9376 plus -279.382?\nAnswer: -9655.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*l - 44, -181*c + 117*c + 3*l - 509 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 3*r - 20, -3*r + 5*l = -5*r + 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 15*i**3 - 18*i + 25*i.\nAnswer: 15*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/337 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:49 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/(-2))\/(-29*110\/36685)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 26*u**2 - 120*u + 2. Calculate j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/387? (a) -5 (b) -2.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(6*o - 4*o - 3*o) + 2*o - 3*o + 3*o)*(-1981 - 1903 + 5970 - 1906).\nAnswer: 720*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 0, -2\/23, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = -25. Suppose -20 = -5*j - 0. Suppose -j*t + 7*t = -3*s + 15, -21 = -5*t - s. Solve -p*y + 11 = -t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14821, -14818, -14815, -14812, -14809?\n\"Answer: 3*g - 14824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -9*p - 62. Let z(s) be the second derivative of 1\/180*s**6 + 0*s**2 - 2*s - 1\/36*s**3 + 1\/120*s**5 - 1\/72*s**p + 0. Factor z(i).\nAnswer: i*(i - 1)*(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**4\/6 + 8*d. Let z(m) = 3*m**2. Calculate z(r(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5258374 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/8 equal to 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 53\/2 + (-10)\/20. Let o be 2\/((-160)\/(-78) + -2). Let f = 104 - o. Calculate the greatest common factor of f and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.522333 + 76.\nAnswer: 91.522333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 319?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 + 13 = 0. Let u = -99 + 104. Suppose -2*f = -6*f + g + 19, 0 = u*f + 4*g - 29. Solve -t + 1 = f*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**3\/3 + 3*c**2 - 2*c - 3. Calculate p(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 425 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -10100?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -17*c**3 + 1014*c**2 - 646*c + 117. Determine i(59).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivoiiiov. Give prob of picking 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*y + 9, -3*y = y - 3*z - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489637?\nAnswer: 659, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.145 - 0.067. Let j = -0.932 - l. Let q = j - -0.99. What is the closest to 0 in q, -0.2, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*i**3 - 2*i**2 - 14*i + 14*i.\nAnswer: 112*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/15)*o)\/o)\/o*o**1\/o*o*o*(o**2*o*o)\/o**5)\/(o**(-1)*((o*o\/(((o**(-1)\/o)\/o)\/o))\/o)\/o*o*o\/((o**(2\/7)\/o)\/o*o)*o**(2\/5)) assuming o is positive.\nAnswer: o**(-523\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437084449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 28*w**2 + 7*w - 2. Suppose 6*o = -3*o + 9. Let v be d(o). Solve -5*k - v = -8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000028968 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-35)*1545\/(-618).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yssz when four letters picked without replacement from {j: 1, y: 1, s: 2, z: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534340 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5 - 3*z**4 - 9*z**3 + 15*z**2 - 6*z = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -470462*h - h**3 + 3*h**2 - h**4 - 3*h**2 + 469018*h as y*h**3 + b + x*h**2 + t*h + o*h**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/460*(-20)\/(-14)*(-6510)\/(-13950)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*c + 3*c - c)*(3 + 1 - 6) + (c + 1 - 1)*(7 - 3 - 3) - 4*c + 0*c - 2 + 6*c)*(47*c - 66*c + 69*c) as x + a*c + v*c**2 and give a.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3981 - 3978. Solve 0 = p*i + 2*a - 5*a - 21, 6 = -2*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9548\/(-42966)*63\/8?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149966826?\nAnswer: 2, 3, 17, 181, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3781*o + 105. What is the hundreds digit of n(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 554 (base 8) to base 9.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/353062 and -52\/5.\nAnswer: 1765310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -106250 and 76 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2336612*g**2*o**3*r**3 + 4*g**2*o**3*r**2 - 1008*g**2*o**2 + g**2*r**2 - 2*g**2*r - 4*g*o**3 + 2*g*o**2*r**2 wrt r?\nAnswer: -14019672*g**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2590*p**3\/3 - 4177*p - 6074. Find the first derivative of l(f) wrt f.\nAnswer: 5180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(3\/(3\/4)). Let u = -5 - -9. What is the second biggest value in u, -2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 + 105. Let h be 26\/6 - 3\/9. Suppose -4*g + 3*g = h. What is the second smallest value in 0.1, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - -48 - (0 + 5)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:11 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.4 - 15.557. Let k = -0.226 - q. Let x = k + 0.0767. What is x rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 30 = -m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 398*g + 1992. Let u be p(-5). Suppose -2*o = 4*d - o + 3, -5*d - 3*o = 9. Sort 73, d, u in decreasing order.\nAnswer: 73, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/329325 and -9\/11?\nAnswer: 3622575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -18, -44.45 in decreasing order.\nAnswer: 1\/6, -18, -44.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 1. Let s be h(3). Let f(c) = c**3 - 4*c**2 - 2. Let o be f(s). Let r(b) = -7*b - 3. Is 7 a factor of r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 1848953642*r - 1848953642*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*l + 768 - 1226 + 3318 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 475 * 1.849\nAnswer: 878.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190093198?\nAnswer: 2, 37, 2568827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005222 to 7 decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -26. Suppose 0*k + 5*k = 0. Suppose w = c - 4*c + 56, k = -5*c + 5*w + 80. Calculate the lowest common multiple of c and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + (0 + sqrt(891))*2 + sqrt(891) + 0 + sqrt(891) + 0)*1 + (2 + 3*(sqrt(220)*-1)\/sqrt(5))**2.\nAnswer: 21*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 207 divided by -23\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2054 - -2031. What is the third smallest value in f, -6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89799*q**2 + 1325527*q**2 + 93*q - 93*q.\nAnswer: 1415326*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -4752.\nAnswer: -1\/1188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1872)*-1 - 2*sqrt(208) - (sqrt(26)\/(2*(2*sqrt(2) + sqrt(2))) + 0)).\nAnswer: -121*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 41*x**4\/2 + 97*x**2\/2 - 5*x - 4628. What is the second derivative of m(k) wrt k?\nAnswer: 492*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*n + 2\/15*n**3 - 8\/15*n**2.\nAnswer: 2*n*(n - 3)*(n - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + -1*sqrt(11) - sqrt(121)\/(sqrt(11)*1)) + 2.\nAnswer: 8 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3 + sqrt(39)\/sqrt(3) + 5 - (sqrt(1573) + 1 + 2))*4)**2.\nAnswer: -124896 - 1920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38139671 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*14\/(-400)*(-560016)\/490014.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -4*s + 22, -3*w = -4*s + 14. Let g = 0.04 + -2.04. Which is the nearest to g? (a) -4 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.8 (b) 1 (c) -4 (d) -1\/60 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -o + 6*o - 15, -9 = -3*o - 5*j. Suppose 0*w + w = o*z, 5*w + 4*z = 38. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*j + 135 = 0, -821*c - 81 = -824*c + 2*j for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23926 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 17. Let x = n - -53. Let w = x - -17. What is the highest common factor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 24*r - 10. Let a(w) be the second derivative of -5*w**3\/6 + w**2 + 49*w. Determine -14*a(u) - 3*p(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -16617*c - 249255. Give s(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-128))\/(((-180)\/(-54))\/(32\/(-282)))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 8*g - 20. Let q be (3332\/102 + -32)\/(8\/(-2)). Which is the nearest to -1? (a) g (b) q (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose q*a + m - 281 = -3*a, 2*a - m = 111. Let f = -35 + a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 + (-473460)\/(-132) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*b)\/b**(-2\/5)*(b\/b**(2\/5))**(-46) assuming b is positive.\nAnswer: b**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -940 (c) -0.2 (d) 0.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**5\/20 + h**4\/2 - 2*h**3\/3 + h**2 + 3*h. Does 5 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2105 or 15951?\nAnswer: -2105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3+-0.126480682322332\nAnswer: 2.873519317677668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02809 in 1\/5, 5\/3, -5, 0.29?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*b - 6*t + t, -5*t - 5 = 0. Solve -2*m = -s + b*s - 2, 4*s = m - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 greater than 889\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*38253\nAnswer: 26777.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30863*s - 30857*s + 0*s**2 + 8*s**2 + 61717*s.\nAnswer: 8*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4, -28 = -4*u + 4*y - 8*y. Suppose -d - 3*z = z + 17, 5*d + u*z = 0. Suppose -m - d*m - b = -9889, -2*m + 4955 = -3*b. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4*((-230)\/40 + 6) - (-9458 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60.1 + -60. Let q = 4 + -1. Which is the third biggest value? (a) n (b) 1\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f = 2*t + 12, -4*t = -2*f - 8. Suppose 0 = -5*g + 2*c - 3*c + 61, 60 = t*g - 2*c. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4545.3189 to the nearest integer.\nAnswer: 4545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let j(d) = -5*d. Give -j(u) - 5*s(u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -22*d + 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -39. Sort f, -2\/21, -3, 2 in ascending order.\nAnswer: f, -3, -2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882526 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 5:38 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elke when four letters picked without replacement from {k: 3, l: 1, e: 4}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j. Let a(x) = -2*x**2. Calculate d(a(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1. Let p(k) = -2*k - 8. Suppose 5*d - 2*d = 15. Suppose d*w = -2*y - 43, 3*y - y + 2*w + 28 = 0. Let z = y - -15. Give z*j(g) + p(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - v + 6 - 2*v**2 - v**4 - 4 + 4 as u*v**3 + l + g*v**2 + f*v**4 + z*v and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1580109 - 0.158. Round x to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(5)))**2 + (sqrt(5) + -1)*5.\nAnswer: -67*sqrt(5) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*k - 2135914 = -4*s + 178*k, -s + 533966 = -3*k. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11739 + 11739.00000077228. What is k rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 4. Let i = -8 + 14. Suppose a - i = -d - a, -12 = d - 4*a. Let m be l(d). Solve 2*z + m = -5*c, -3*z + 3*c - 9 = -8*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tiittttttttttttttii. Give prob of picking 1 i and 2 t.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4.2. Suppose a - 45 = 6*a. Let s be 1\/(0 + (a - 0)). Put s, x, -1\/4 in decreasing order.\nAnswer: x, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 516 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123873, -248229, -372585?\nAnswer: -496941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5 + (-4 + 2 + 3)*(2 + 0 + 4))*(5*d**2 + 0*d**2 - 3*d**2 + (0*d - 8*d - 6*d)*(-d + 2 - 2) - 5*d + 5*d - 3*d**2).\nAnswer: 117*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 84 + 42. What is the tens digit of -30*(-3)\/g*-34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:43 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-179)\/(-895)*20\/(-24)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3922*n**3*r**3 - 217*n**3*r**2 - 84280*n**3 - 269*n**2*r**3 + r**3 wrt r?\nAnswer: 23532*n**3 - 1614*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3\/m**(1\/4) assuming m is positive.\nAnswer: m**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(-8) + 85\/4 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120 (base 3) to base 5\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1218 - -1263. What is the greatest common factor of 150 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1234\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -3*o + 412. Is 33 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5. Let g = p - 4. Let d(f) be the first derivative of f**3 + 2*f**2 - f + 12. Give d(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*t**4*w**3 - 3*t**4*w - 13*w**3 + 3 with respect to t.\nAnswer: -44*t**3*w**3 - 12*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -863401*h**2 + 397317 wrt h.\nAnswer: -1726802*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 16 = 18*x. What is the nearest to 0 in 3, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -16. Let t = s - -66. Let l be 6*(-15)\/t*2. What is the closest to 0.2 in -0.5, 1, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -13. Suppose 3*h = 2*h + 4. Solve h*z - 2*z - 12 = q*m, -5*z = 2*m + 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fidiiividfiiifiddii. What is prob of sequence if?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90088257?\nAnswer: 3, 7, 4289917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-1 + 3)*4.\nAnswer: -28*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2. Let p(a) = 341027612*a**2. Calculate u(p(n)).\nAnswer: 232599664292845088*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 179489 take away 2704?\nAnswer: 176785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 - -745d5?\nAnswer: 74625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 12*c**2 - 12*c - 11. Let f be i(13). Suppose -8 - f = -5*s. Let g(k) = k**3 + 2*k**2 - 4*k - 3. Let z be g(-3). Solve -s*r + r - 5 = z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 1207*z\/2 + 486640.\nAnswer: -(z - 1760)*(z + 553)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*c**3*m - c**2 + 214*c*m wrt c.\nAnswer: 108*c*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45444 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxnr when four letters picked without replacement from oborbxrrnbxborrxxxob?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*b - 2894 - 2128 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {x: 1, i: 2, n: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 87, 776, 1921, 3522, 5579, 8092, 11061?\n\"Answer: 228*d**2 + 5*d - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k - 5. Let f(q) = -q - 1. Let s(x) = -6*f(x) + h(x). Let n be s(-1). Which is greater: 3\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 25. Let o be 4 + 0 - (4 - 2). Solve -4*b = -w*c + 14, -o*c + b = -6 - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + z - 1)*(-40*z - 29*z + 22*z - 14*z).\nAnswer: -61*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562024 is divided by 19380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148.5 + 81. Let o = c + -18.5. Let z = 85.9999897 + o. Round z to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88389.\nAnswer: 3, 7, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 321, 325, 331, 339, 349?\n\"Answer: d**2 + d + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 5.06\nAnswer: 20.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*q - 2 + (3 - 4 + 2)*(-q - 5*q + 5*q))*(-7*q + 2*q + q) + 4 - 8*q + q**2 + 8*q + 3 - 3 + 8*q**2 as t*q + c + f*q**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 97*m - 6*m**2 - 97*m. Let y(p) = -24*p. Determine x(y(o)).\nAnswer: -3456*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36663 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - 2*x**2 + x**2)*(-8*x - 27 + 27) as v*x**2 + g*x + o*x**3 + d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/84656 and -187\/1920?\nAnswer: 10158720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -65.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15967, -16663, -17817, -19429, -21499, -24027, -27013?\n\"Answer: -229*c**2 - 9*c - 15729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**3 - 4*c**2 + 2 - c**3 - 4*c**3. Calculate u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 + -1.14. Let f = -1.2 - y. Sort -11, f, -0.3 in decreasing order.\nAnswer: f, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = x + 3*u, 18 = 4*x + u. Let v = 153 - 141. Solve -4*y + v = 0, x = 3*q + 3*y - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7.3. Let k be (-4)\/3 + ((-4950)\/(-108))\/55. Sort k, -1\/3, s in descending order.\nAnswer: s, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.2128 to 1 decimal place.\nAnswer: 28.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 991539 by -991539.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*s - g + 14, 3*g = 4*s - 28. Let n(q) be the second derivative of q**3\/2 - q. Is n(s) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 4:20 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - x + 1. Let v be g(2). Let l(h) = h**2 - 8*h + 10. Let k be l(v). Solve -k*a = -5*o - 6, -2*o - 4*a = o + 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) -4 (c) -1.53 (d) 1 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 18 = -2*l - 5, -4 = l. Let z be (5 + v + -2)\/2. Let y = 19 - 21. Which is the closest to z? (a) 4 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2894662, 5789312, 8683962, 11578612, 14473262?\nAnswer: 17367912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48246*f - 3*s + 39 = -48241*f, -2*f + s + 9 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-5 - 2 - 11)*(-2*l + 1 - 1).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(540)*-1*-3)\/((sqrt(5) - 2*sqrt(5))*6 + (sqrt(5) - -2*(sqrt(5) + 2*sqrt(5) + sqrt(5)) - sqrt(5))).\nAnswer: 3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32\/3? (a) 2\/27 (b) -5 (c) -1\/4 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.492434 - -0.007566. Let u = 8 - 3. What is the nearest to 2 in -9, u, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7190.874cm?\nAnswer: 71908740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1684 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.061 - 0.005. Let y = -12249 - -12250. Sort p, -1, y.\nAnswer: -1, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*k + 104 = -4*k, -5*k + 10 = 0. Suppose -4*z - 24 + r = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9*y**3 - 5*y**2 - 2*y - 7. Is z(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(196)\/(sqrt(35)\/(sqrt(5)*-1)))**2 + (((sqrt(28) - sqrt(336)\/(2*sqrt(12))) + sqrt(28) - sqrt(28))**2 + (-5*sqrt(84)\/sqrt(3))**2)*-3 + 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**3\/3 - 9*m**2\/2 + 14*m + 177. Calculate q(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700 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: List the prime factors of 684466058.\nAnswer: 2, 821, 416849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28764, 28874, 28982, 29088, 29192, 29294?\nAnswer: 29394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*v + 25. Let g be 3\/(-2)*(-10)\/(-15). Let b be 20\/75*-1 - g\/5. Does b = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 35. Find the common denominator of 3 + -3 + -22*2\/v and 79\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 58*b + 2259. Give g(-51).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3753276 is divided by 521.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -140308 less than -2460862?\nAnswer: -2320554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22072, -44174, -66274, -88372?\nAnswer: -110468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -49457?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + j**2 - j. Let q be s(0). Let f be (3\/9)\/((-10)\/(-3150)*-5). Let y = q - f. What is the highest common divisor of y and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*m**5 + 3*m**2 + 6*m - 2 wrt m?\nAnswer: 240*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o + 4 = 0. What is the derivative of -13 - 13 + o - 15*g**2 wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + 2*n**4 - 4*n - 3*n**3 - 957*n**2 + 1921*n**2 - 957*n**2 - 4*n**4 - 1 as s*n**4 + m*n**3 + x + c*n**2 + l*n and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7) + 1) - (sqrt(7) + (sqrt(7) - -2*sqrt(21)\/sqrt(3))) - sqrt(28)\/((2*sqrt(40))\/sqrt(10)))**2.\nAnswer: 18*sqrt(7) + 207\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 18*a + 2*a)*(0*a**2 + a**2 + a**2) + 0*a**2 + 0*a**2 - 5*a**3 - 5*a**3 - 2*a**3 + a**3 + (0*a**2 + a**2 + a**2)*(-4 + 4 - a).\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 12:14 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5188151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1261 and 1552?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:57 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) -0.33 (c) 0.7528\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**3 + 8*b**3 - 39*b - 15*b - 30*b**3 wrt b?\nAnswer: -186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 3*c**3 + 3*c**3)*(-4*c**2 - 5*c**2 + 0*c**2) - 22*c**2 + 22*c**2 + c**5.\nAnswer: -17*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 75. Let j = q + 22. Sort -3, 0.4, 2\/9, j.\nAnswer: -3, 2\/9, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2)\/17*(-51)\/(-51)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f**3 + 25*f**2 + 647*f + 10. Let u(a) = -63*a**3 - 121*a**2 - 3234*a - 48. Calculate 29*k(s) + 6*u(s).\nAnswer: -s**3 - s**2 - 641*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -2 + 0 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 40*x - 220. Calculate the remainder when z(20) is divided by 237.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 3*u**2 + 6*u + 2. Let f be d(-1). Is f at least 1\/406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 17 = 4*i, -g = 2*i - 3*g - 4. Which is the closest to 1? (a) -4 (b) 2\/15 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -14. Is ((-2442)\/(-18))\/((-2)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 102304818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471433 is divided by 105?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 4*u + 5. Let x be s(-5). Suppose -2 - 6 = -t + q, x = -2*t + 5*q + 19. Suppose -j = -t - 4. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 16. Let z be y(18). Solve 4*l - g - 9 = 0, -z*l + g + 7 = -0*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/64442 and -83\/4550?\nAnswer: 20943650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-14)*y**(-4)*y)\/((y\/((y\/(y*y**9))\/y)*y*y)\/y*y\/(y*y\/(y\/(y\/y**(7\/2)))*y)) assuming y is positive.\nAnswer: y**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**5\/30 + 19*v**2. Let z(q) = -2 - 6 + 4. Let n(t) = t + 5. Let r(g) = 4*n(g) + 5*z(g). What is j(r(f))?\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2.7. Let h = m - 1.4. Let j = -0.01 - -4.01. Which is the nearest to 0? (a) h (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 12. Let m be q(-13). Let d be (m + -4)*-1 + 51. Is ((-6)\/(-4))\/(3\/d) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2337)\/(-665))\/1*(-455)\/195.\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 654 + -544. Suppose 0*j + 24 = 2*j - 4*v, -29 = -2*j + 3*v. Calculate the highest common factor of j and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471943 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -740876 by -12.\nAnswer: 185219\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 - 3*b**3 + b**3)*(104 - 88 + 82)*(2 - 1 + 1).\nAnswer: 392*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 8:16 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -6*p + 2*p + 19, -4*p + 22 = -2*y. Solve -5*w - 4*b + 7 = 0, -p*w + w + 23 = -4*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7.48, 114, 5\/2, 4\/5, 1\/4.\nAnswer: 1\/4, 4\/5, 5\/2, 4, 7.48, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -12. Suppose 5*u - k = 18. Which is greater: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 933138 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p + 17 - 34 + 8 + 9.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y, -5*f = 4*y + 15. Let x be 3\/((f\/(-4))\/(-1)). Let h = x + 23. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 2*y - 3. Let w be z(1). Solve w = 62*k - 68*k + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {u: 2, m: 7, e: 3, p: 1, f: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49469113 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b - 183. Give a(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 28992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212 a factor of 23875727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/36? (a) 3\/8 (b) 3 (c) -3\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/13 + 39316*z**2\/13 + 14865984*z + 29719872 = 0. Calculate z.\nAnswer: -9828, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(128) + 1)**2 + (sqrt(128) + 2 - sqrt(128))*-6 + -2.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w - 4 - 4*w**2 + 0*w + w**3 - 2*w. What is the remainder when k(4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133110.1 rounded to the nearest 100?\nAnswer: -133100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/231 in 0.5, 5, 0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than 13\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.5 + 15. Let p = d - -9. Let n = 0.15 + -0.11. What is the biggest value in -0.1, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 907*b**5 + 9*b**3*y**2 - 20111*b**2*y**2 wrt b?\nAnswer: 54420*b**2 + 54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32154883277.652 - 6?\nAnswer: -32154883283.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12502620*x**6 - 93385104*x**2.\nAnswer: 1500314400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*10\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + 3266*k - 1331704. Let s(x) = -9*x**2 + 6533*x - 2663404. Let f(t) = 4*s(t) - 10*v(t). Determine a, given that f(a) = 0.\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 98*i + 2242. Determine p(26).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)\/(sqrt(12) - sqrt(48)))\/(-6*sqrt(18)\/sqrt(2)))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 56 = -4*y, -3*x = -5*x - 8. Calculate the common denominator of (-19)\/((24\/y)\/(-4)) and 23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-1 + 0\/278\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12877 + 12971. What is the greatest common factor of 5123 and j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54.5 and 2666.\nAnswer: 145297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1913 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -1864\/25, -2\/21?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1021\/28 + 6\/21. Let m = -71\/2 + r. What is the second biggest value in m, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18360884, 36721773, 55082662?\n\"Answer: 18360889*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - (96\/7 - 2). Let o be u\/(-660) - (-1 + (-18)\/(-22)). Let n = -46 + 51. What is the third smallest value in n, o, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - (57 + -34 + -40)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 0, 28 in ascending order.\nAnswer: 0, 27, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 5. Let h(d) = -d + 5. Calculate -2*h(u) + 3*p(u).\nAnswer: -u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Suppose 2 = -4*h - 3*z + 7, -2*h = -3*z - 25. Solve 5*o - 20 = -h*u, n*o - 3*u - 23 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 4 + -6 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 + 10*c + 3. Let q(i) = i**3 + 6*i**2 + 8*i + 6. Let z be q(-5). What are the prime factors of u(z)?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27064207 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8651?\nAnswer: 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.45209ml to litres.\nAnswer: 0.07145209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -178 in 11\/3, 2\/9, -1, 3\/4, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 27. What is the third biggest value in 4, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -37, -36, -35, -34, -33?\n\"Answer: y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 3}. What is prob of picking 3 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/((-42)\/48).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 times -5786?\nAnswer: 1452286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13, 2473, 2 in decreasing order.\nAnswer: 2473, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1068, -1069, -1082, -1113, -1168, -1253?\n\"Answer: -l**3 + 6*l - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4, 63, -1039, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:33 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 + 98. Let l(c) = -2*c**2 - 14*c - 12. Let r(b) = b**2 + 7*b + 6. Let v(t) = -3*l(t) - 7*r(t). Determine v(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4243, -4157, -4073, -3991?\n\"Answer: -m**2 + 89*m - 4331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1016, -991, -960, -929, -904, -891, -896, -925?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85330 and 8601635?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 - 115155331*t - 13260750257719561\/2.\nAnswer: -(t + 115155331)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7411422 at most -7411422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 27 + -60 - -73.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1035 divide 1951640635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 4.4. Let p = 2.2 - s. Let k = p + 4.1. What is the fourth smallest value in 0, -0.4, k, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -28*c + 2 + 33\/2*c**2. What is the first derivative of g(z) wrt z?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 0*m**3 - m**3 + (1 - m**3 - 1)*(3 + 0 - 1) - 2*m + 2*m + m**3 - 418*m**3 - 21*m**3 - 375*m**3 + 92*m**3 as o*m**2 + h + r*m + f*m**3 and give f.\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 23*s**2. Is 6 a factor of z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*w + 26 = 6, 2*r + 2 = -5*w. Suppose -3*o - 3 = -v - 16, -4*v - r*o = -28. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80621 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 63. What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 82, 1\/6, 0, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 0.081, 1\/6, -3\/7, 41, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (-3780)\/(-200))*-2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -224212673, -224212674, -224212675, -224212676, -224212677, -224212678?\n\"Answer: -g - 224212672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-48)\/15)\/(-8*(-24)\/(-9600)) and 144.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(110) - (-2*sqrt(110)*3 - sqrt(110)))*-6)\/((sqrt(100) + 3*sqrt(100)*-2)\/((sqrt(30) + 2*sqrt(30))\/sqrt(3))).\nAnswer: -144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -28*s - 5. Let x be g(-5). Let c be 4\/9*22464\/128. Let o = x - c. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121122200010 (base 3) to base 4.\nAnswer: 3101301303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -14) + -9 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*l + 2 + 3539*l - 1 - 384*l - 2770*l.\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 28*w**2 - 3. Let n be q(3). Let v = -246 + n. Let a be (2\/(-4) - 0)*0. Solve a = 2*p - 6, 2*u + 0*p + 7 = v*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 69300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.52 + -0.28. What is the nearest to t in -0.2, 1\/5, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 102 + 450. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4252565 and 38992?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 22 = 5*k, 5*k - x - 21 = -3. Suppose 0 = c - 5*c + k*n + 160, 0 = -c - 4*n + 50. Calculate the greatest common divisor of 105 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -466, 1, 3, 11 in descending order.\nAnswer: 11, 3, 1, -4, -16, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 112 - -7976?\nAnswer: 7a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 - 75. Let b(j) = 2*j**2 - 14*j + 2. Let s be b(m). Find the third derivative of -3*o**3 + s*o**3 - 19*o**2 + 5*o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y = 4. Solve y*t - 1 = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1508, 1541, 1658, 1901, 2312, 2933?\n\"Answer: 7*p**3 - 16*p + 1517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 418 = -402 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 7 + 46. What is the remainder when 45 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1561 + -3.47016. What is t rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.71 + 9. Let a = 30.59 - w. Round a to zero decimal places.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29\/2822 + -5426851\/14110. Let i = u - -386. Do i and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**5\/80 + 269*n**4\/48 + 541*n**3\/24 + 271*n**2\/8 + 6*n + 9. Factor z(r).\nAnswer: -(r - 271)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -51 (c) 2\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(4\/2))\/(4\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(99)*2)\/sqrt(576).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17774 + -17585. Solve u = 2*r - 5*h + 183, 5*r - 5*h = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 172*v - 62*v - 54*v - 57*v. Let b(w) = -5*w - 5. Calculate b(f) - 4*h(f).\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241542 - 249480 = -126*j for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1511446*x**4 + 8 - 1511451*x**4 - 6 + x + 70*x**2 in the form g*x**3 + d*x + b + v*x**2 + o*x**4 and give v.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 108 = 5*x, 5*y - 2*x - x - 289 = 0. What is the remainder when y is divided by 1\/5 - (-198)\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:51 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 14*u**2 + 5*u - 32. Let o be r(-5). Let z = -23 - -186. Let d = o - z. Calculate the remainder when d is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, and 1 m when three letters picked without replacement from {m: 1, k: 1, u: 2, o: 2, i: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 6*n - 2*n + 4*k, -n + 12 = 2*k. Let v = 101 - 111. Let f be ((-10)\/(-4))\/(v\/(-8)). Solve -y - f*c + n = 0, -1 = -5*y - 5*c + 24 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63840 is divided by 31905?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 12) to base 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v + 1. Let i be 26*v*(-3)\/(-4). Let x = i - -60. Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - k - 3 = -2*k, 2*s + 6 = -4*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43678?\nAnswer: 2, 21839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173613 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*x**2 + 3393916*x - 101761203.\nAnswer: 16*x + 3393916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00137743802 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572\/5 > 315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6885720 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14722 minus 0.2?\nAnswer: 14721.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 50322500 (base 6) to base 2\nAnswer: 101011100001100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4\/3 + 1\/6*g**3 + 2*g + g**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 4. Let v be 3\/(-5)*(0 + 5 + -10). Let l(s) = 2*s - 5. Determine v*l(j) - 4*u(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*x**2 + x**3 + 136*x**2 - 2*x**3 + 5*x wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + ((5 - 7) + 6 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -484 + 519. Suppose 0 = -a - 4*w + 116 + 43, 4*a = w + 704. What is the highest common factor of y and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156027, -156006, -155965, -155898, -155799?\nAnswer: -155662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-104)\/65)\/(-1 + 3 - (-144)\/(-30)). Sort -2\/109, -0.5, k.\nAnswer: -0.5, -2\/109, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-1)\/1)*-4. Suppose t - 4 - 6 = f*k, -5*t - 5*k = 50. Let l = 17 + t. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -750 + 750.002252. What is a rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/266704 and -53\/24.\nAnswer: 800112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 7*v - 20. Let h = 14 - 9. Suppose -w - 40 = -h*w. Calculate the remainder when v is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753391 is divided by 584420?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1586658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-10))\/((-7)\/35). What is the units digit of -6*p\/(12\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jff when three letters picked without replacement from ffjjfj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*k + 42 + 30 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 23 (b) -0.37 (c) -8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11639 and 309733?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 18. Find the second derivative of -j*c - 7*c**5 + 7*c + 0*c wrt c.\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*j + 302*j = 6*s - 33, -3*j + s + 45 = 5 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 12*y - 69. Let p(m) = m**2 + 12*m - 69. Let r(u) = 2*h(u) - 3*p(u). What is the tens digit of r(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 698*w**2 - 637*w + 41819. Calculate m(-697).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 + 121*l - 311.\nAnswer: 121*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484032?\nAnswer: 2, 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 divided by 35?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0, 8\/3, 1\/3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44184121001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*(-1*sqrt(60)*1 - sqrt(4860)*-2))\/(4*(-3*sqrt(96)*-6)\/sqrt(8)).\nAnswer: -17*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2*(-88)\/231)\/(55\/77)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 2933*a**2\/2 + 111741*a - 1130580.\nAnswer: (a - 2855)*(a - 66)*(a - 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 6*j - 91 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 2, j: 2, o: 1}. What is prob of picking 1 p and 1 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30688 is divided by 653.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f. Suppose -2*o - 2*y - 2*y + 26 = 0, -o - 15 = -5*y. Suppose 0 = o*a - f - 25. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u + 3. Let x(t) = 28*t + 17. Let p(i) = 8*j(i) - x(i). Give p(-14).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 157 = -5*u, 55*a - 20*a - 29*a + 117 = -5*u + 52*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/48*(-4)\/(-6)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 496, -9, -5, 3 in decreasing order.\nAnswer: 496, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42201 or -42203?\nAnswer: -42201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 233743?\nAnswer: 233748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.751503510483 + 1785892.028497369517. Let f = q + -1785873.78. Let r = 21 - f. Round r to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 186*b**2 - 27548*b + 3086. What is u(148)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 20*t**2 - 10*t**2 - 27*t**2)*(-3 + 2*t + 3) in the form w + f*t**3 + b*t**2 + a*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 412467*x**5 - 127*x**2 - 5304*x + 3255 wrt x?\nAnswer: 8249340*x**3 - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 729 and 43119.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7458502 is divided by 1864619?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -69648242.\nAnswer: 5\/69648242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - -26 - (0 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14312 divided by 74495?\nAnswer: -14312\/74495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 200881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2) + 2)**2 - sqrt(20)\/(-1*sqrt(10)).\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -119*g**4 + 119*g**4 + 2*g**5 + 8 + g**5 + g**5 - g**5 + (0 + 0 - 9*g**4)*(-g + 2*g + 0*g).\nAnswer: -6*g**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*m + 9*m + 5*m**3 - 7*m in the form t*m**2 + i + d*m + w*m**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczfwcz. What is prob of picking 2 c and 2 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 20*z - 143. Give u(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, x: 1, y: 3, l: 1}. Give prob of sequence yklk.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.3 (c) 0.5 (d) -0.5 (e) -1435924 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 5*a - 8. Let w be (-15 - -13)\/(-1 - 4\/(-6)). What is m(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/3333 and -18\/3131.\nAnswer: 103323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - m - 4. Let x be u(0). Let z = x - -7. Suppose h + 2*c = 8, -3*c = -z*h - 6*c + 15. Solve h - 1 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 22.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 9 = -21. Solve 0*b - 3 = -s*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -1 - 1\/3*n**3 - n - n**2. Determine h so that d(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((216\/(-10))\/(-3))\/(14\/(-35)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -64781994 divided by 6\nAnswer: -10796999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 * -2.7\nAnswer: -0.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 - 1 - (0 - 118 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -180206\nAnswer: 1\/13862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -164, -373, -666?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 5*y + 550, r = -r + 2*y + 284. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -1)\/(9\/(-10926)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 + 62.22\nAnswer: -36.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 246131000 rounded to the nearest one million?\nAnswer: 246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4 = -2*u - 36, 4*q = 4*u + 24 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -406.33 - -408. Let l = f + -0.07. Let r = l - 2. Put 0.3, -2\/3, r in increasing order.\nAnswer: -2\/3, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 14. Determine f(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:12 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-14) + (-320)\/(-35). Let x be (-72 + -1)*(-10 + t). Let p = x - 47. Solve p - 10 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321477 - -0.7?\nAnswer: 321477.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 + 0 = 0. Let o be (-2)\/(-3)*8\/(-16)*123. Let r = 38 + o. Is r <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 19 = -11*d. What is the remainder when 19 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*b - 7*b - 20 = 0, 16 = -4*k - 5*b. Let c(h) = -2*h - 2. List the prime factors of c(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069.8901 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -138, 0.1, -5\/3?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 28 = -21*i. Let q(g) be the first derivative of 4 - 5\/2*g**i + 5\/6*g**6 + 0*g + 0*g**5 + 5\/2*g**2 + 0*g**3. Suppose q(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77822 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10. Let v(z) = 7*z - 7*z + 3*z**2 + c*z. Let h(u) be the second derivative of u**3\/6 - u. Give h(v(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*812179\nAnswer: -2436537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9 + ((-20)\/3)\/(-4). Let d(k) = 1 - 6*k + 7*k - i. Let s(q) be the third derivative of -7*q**4\/24 - q**2. Calculate s(d(b)).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*q - 25*q - 16*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(3\/4))\/(z*z*(z\/((z**(1\/17)*z)\/z))\/z*z))**(-16))**(3\/5) assuming z is positive.\nAnswer: z**(276\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(4\/(-12) - (-2)\/24). What are the prime factors of 6176\/y*-1 + 4?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/7))**(-1\/13) assuming v is positive.\nAnswer: v**(-4\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -81. Let n = z - 24. Suppose -5*x + n = s, 5 = 2*s + 3*s. Solve 0*u + x*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u**(1\/5))*u)*u\/((u*u**(-1\/13))\/u) assuming u is positive.\nAnswer: u**(83\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 5*x - 4*x)*(71*x**2 + 86*x**2 - 24*x**2) + x**3 + 4*x**3 + 0*x**3.\nAnswer: -261*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**2 - 4 - 13*t**2 + 2 + 8*t**2 to the form h*t + q + g*t**2 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54282 is divided by 1520?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l + 2*z - 10, -3*l - 3*z = -18. Let p(a) be the third derivative of 0*a + 0*a**3 - 1\/15*a**5 + 0 + 9*a**2 + 1\/8*a**4. What is p(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, d: 7}. What is prob of picking 3 d?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 1. Let l be h(1). Suppose 2*t - l = -0*t. Let r = t + 0. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -9 - ((-8568)\/117)\/8 - 138292\/(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.019 (b) 1\/6 (c) -3\/328 (d) -0.042 (e) 2 (f) -1 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 12*y + 1372 = 0. Let n = y + 1369\/7. Which is the biggest value? (a) 4 (b) 0.3 (c) 1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*b = 30, 3948*s - 3951*s + 4*b - 5 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmy when three letters picked without replacement from {y: 4, f: 1, m: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0*g + 3*g + 3*g**3)*(-2 + 1 - 2)*(3 - 3 + 2).\nAnswer: -18*g**3 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 19*v**2 + 13*v - 36. Calculate z(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 8:13 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9 - 12 + 4 - 111*o. Is u(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 103, 121, -4 in descending order.\nAnswer: 121, 103, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = -2*g - 3*v, 2*g = -2*v + 4. Let f be -1*(g - -2)*-1. Find o such that 0 + 3*o**2 + 0*o + 5*o + f + 0*o = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h - 3*h - 220 + 13*h**4 - 3*h**4 + 6*h**2 - 8*h**4 wrt h?\nAnswer: 8*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.086277 or 0?\nAnswer: -0.086277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314 - -1510?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)*2 - sqrt(400))\/sqrt(10))\/((1*sqrt(8) + sqrt(8))*-5) - ((sqrt(320) + sqrt(320)*-1 - sqrt(5)) + sqrt(25)\/sqrt(5)*-5)*1.\nAnswer: 59*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 at least 754285\/697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3\/5 - 16566340*o**2 = 0. What is o?\nAnswer: -20707925, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 40 = 27*y. Is 1\/45 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Suppose -5*y + z*r - r = -38, -5*r - 10 = 0. Calculate the greatest common factor of 88 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 60 + 57 = 0. Suppose 3*w + 12 = 0, z - 3*w = -2*w + 5. What is the remainder when (z - 3)*(-8 + 6 + -56) is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 476 + -212. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, 45, 94, 141?\n\"Answer: -f**2 + 54*f - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -72720b (base 12) to base 6\nAnswer: -102253215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/9 + 146*t**2\/3 + 7844*t\/3 - 48832\/9 = 0. What is t?\nAnswer: -112, -109, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*f**5*z**3 + 100592*f**2*z**3 - 356*f*z**3 + 16*f - 27*z**3 wrt f?\nAnswer: 360*f**3*z**3 + 201184*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/60 + 7*f**4\/24 - 2*f**3\/3 + 4*f**2. Suppose -2*y - 10 = 6. What is the units digit of q(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 1 = -8*t - 5*g, -g + 11 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4 - 147742764*w**3 - 886456512*w**2 - 1772912976*w - 1181941968 = 0.\nAnswer: -49247582, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/20)\/(9\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2378 + -1146. Let c be (-504)\/r*4\/(-6). Which is smaller: c or 0.8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5332943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 473066881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 97754 and 1173053\/12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 19616910 to the nearest 100000.\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 z when three letters picked without replacement from {t: 1, z: 2, l: 1, g: 3, p: 10, i: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h + 3*h**3 + 268 - 12*h**2 - 139 + 0*h**3 - 135.\nAnswer: 3*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048610 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2018, -2016, -2014, -2012?\n\"Answer: 2*j - 2020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 4. Suppose -r - 2 = -5. Let h be f(r). What is the highest common factor of 15 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -967 + 971. Suppose 0 - 4\/5*x**2 + 4\/5*x**n - 4\/5*x**5 + 4\/5*x**3 + 0*x = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 194\/5574705?\nAnswer: 194\/5574705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*p + 21, 30 = -s + 4*s + 4*p. Let y(k) = -k**3 + 7*k**2 - 6*k - 3. Let d be y(s). Do -3 and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + (11 - 28) + -44?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in -3, 7.8, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 29 and 381\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 47, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5344 = -5*g + y, 0*y - 3 = -3*y. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2446\nAnswer: -1\/2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3734 - 4013.1. Let h = -279 - u. Let y be ((-2)\/(-9))\/(6\/36). Which is the fourth biggest value? (a) y (b) h (c) 1\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1683*d**2 - 1025*d - 4. Let v(i) = 2*i**2 - 8*i + 1. Let r(z) = -j(z) - 4*v(z). Find the second derivative of r(b) wrt b.\nAnswer: -3382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501 is divided by 274?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**6\/360 - l**5\/15 + l**4\/8 - 5*l**3\/3 + 2. Let y(d) be the third derivative of r(d). Does 14 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*d + 160 = 0, 200 = -513*i + 512*i + 5*d. Sort -4, i, 2, 1.\nAnswer: i, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 42*m + 51. Is v(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z + 4. Suppose z = 3*d - 2. Suppose 2*w + d*t - 137 = -3*t, 2*w - 146 = 4*t. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d + 2. Let h(l) be the third derivative of -7*l**4\/24 + l**3\/2 + 122*l**2. What is -5*a(m) + 3*h(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 306\/17*(-2)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30876943 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3228\/(-8)*(-48)\/36. Suppose -z = -2*k - 5*v, -v - 1318 = -k - 4*k. Does 66 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2859597 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*a - j, -1 + 7 = -5*a + 2*j. Let r be 8 + 0 - (-16)\/8. Let y = -5 - -8. Solve a = 2*m + y*m - r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**7\/63 - 2*z**6\/45 + z**4\/9 - z**3\/9 - 12*z. Factor a(c).\nAnswer: 2*c*(c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**5\/9 + 50620*i**4\/9 + 169491580*i**3\/9 + 58206852500*i**2\/9 - 116922382240*i\/9 + 58545987536\/9 = 0.\nAnswer: -6134, -389, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -40*h + 191. Give x(9).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/3 + 8*h**4\/3 + 13*h**3\/3 + 2*h**2 = 0. Calculate h.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2*2\/20. Let o = k - 11\/28. Let m = 3.711 - 0.711. Which is the biggest value? (a) m (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5\/13 + 70*k**4\/13 - 370*k**3\/13 + 50*k**2 - 348*k\/13 = 0.\nAnswer: 0, 1, 2, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10287466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 - p**5 + 2059365*p**3 - 1296*p**2 - 809 wrt p?\nAnswer: -240*p**3 - 60*p**2 + 12356190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169942 - -169944. Suppose 1\/5*l**3 + 13\/10*l**h + 11\/5*l + 4\/5 = 0. Calculate l.\nAnswer: -4, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(186\/(-15686)*-23).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114058930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/6 and 36\/22189.\nAnswer: 133134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 0, 30, 15 in increasing order.\nAnswer: -5, 0, 1, 15, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klk when three letters picked without replacement from lklkllkllk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 = -2*p - 1, -p = -3*g + 6. Let z = 21 + -12. What is the highest common factor of g and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/6 - 3*(-150)\/54 and -47\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307007048.\nAnswer: 2, 3, 54458627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -0.4 (b) -3 (c) -0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2\/9 (c) 0.05 (d) -0.2 (e) -458\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 + 5*n**2. Suppose -3*i = -6*i - 15. Let l(a) be the first derivative of a**4\/2 - a**3 - 13. Determine i*l(w) - 3*b(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 502745054 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(1*sqrt(1375) + sqrt(1375) + sqrt(55)))\/(-3*sqrt(20)\/(sqrt(4) + -2*sqrt(64))).\nAnswer: -308*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -0.3 (c) -1.5 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1251 and 190327974?\nAnswer: 570983922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00502463 to five dps.\nAnswer: -0.00502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5 (b) -1 (c) -3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -192490, -192503, -192520, -192541, -192566, -192595, -192628?\n\"Answer: -2*t**2 - 7*t - 192481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 + t**2 + 3*t**2. Let m(i) = -i**2 + 4*i - 4. Let j(u) = u**2 - 3*u + 3. Let n(g) = -4*j(g) - 3*m(g). What is n(p(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 8*a**2 - 7*a - 3. Let v be q(-7). Sort 3, v, -1, 5.\nAnswer: v, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - (-174)\/(-8). Let p = x - -59. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185 - 5.1\nAnswer: 179.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6 (b) 0.82 (c) 11 (d) -0.4 (e) 16 (f) -65\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 765\/6 + (-3)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k + 10555 = c, -2*k - c = -5279. Suppose 0 = -17*h + 15*h + k. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016320157979 to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*c**3 - 2 - 21*c**3 + 5*c**4 + 0 to the form u*c**3 + k*c + o + l*c**4 + y*c**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 4, p: 1}. Give prob of sequence oob.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o - 5*o)*(4 - 2 + 14 - 9 - 145*o).\nAnswer: 1160*o**2 - 56*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -7 + 0*q**2 - 1\/3*q**3 + 3*q. What is v(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**13*x*(x**15\/x)\/x*x**16\/x**(-1\/3) assuming x is positive.\nAnswer: x**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11*g**3 - 6*g**2 + 15*g + 2. Let i(f) = 5*f**3 + 3*f**2 - 8*f - 1. Calculate -3*a(j) - 7*i(j).\nAnswer: -2*j**3 - 3*j**2 + 11*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2. Let k(x) = 2*x - 371. Determine k(j(r)).\nAnswer: 4*r**2 - 371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 3\/4, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 29*b = -53. Solve 2*o = 3*o - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 + -195. Let o(h) be the third derivative of -h**6\/40 + h**5\/60 + h**3\/6 - 13*h**2 + 8*h. Let u(c) = 4*c**3 - 2*c**2 - 1. Give n*u(a) - 5*o(a).\nAnswer: -a**3 + 3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**3 + 11*o + 21. Let c(a) = a**3 - 2*a - 4. Give 22*c(z) + 4*t(z).\nAnswer: 2*z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -0.3, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.858412cm to millimeters.\nAnswer: 28.58412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 60\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a - 21. Let f(r) = 5*r - 11. Let u(h) = -13*f(h) + 6*t(h). Suppose -23 = -2*d + 41. What is the remainder when d is divided by u(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.3. Let a = 13.15 - 0.15. Let u = -15 + a. Is d >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473560?\nAnswer: 2, 5, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -48*h + 47*h - 29, 0 = -2*y - 28 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 - 2*s**4 + 3*s**4)*(763 - 1856 + 690)*(s + 4*s - 4*s).\nAnswer: -403*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 22, -5, -12, 4, 9, -1\/3 in decreasing order.\nAnswer: 22, 9, 4, -1\/3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*6*(-2 + sqrt(288) + 2 + (sqrt(288)*2 + sqrt(288) + -2 - sqrt(288)) + -2))**2.\nAnswer: -10800*sqrt(2) + 93937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 134*k - 8454. What is the remainder when u(-181) is divided by (2\/5)\/(1\/25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 2*n - 2*d, 6*n + 16133*d = 16121*d - 84 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4*((h**2*h*h)\/h)\/h*h*h)\/(h\/h**(2\/7))**(-1\/54) assuming h is positive.\nAnswer: h**(3407\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321, 624, 927, 1230?\nAnswer: 1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/(-126) + (-4)\/18. Let h(q) = q**3 + 2*q**2 + 3*q + 1028. What are the prime factors of h(b)?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85 take away 295717211?\nAnswer: -295717210.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 7*k**3\/2 + 3*k**2 - 44*k. Does 23 divide m(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-15))\/((-20)\/75). What is the nearest to -2 in -3, x, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 27079670?\nAnswer: 135398350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 2. Let t(l) = -76*l + 1. Determine 6*i(q) - 3*t(q).\nAnswer: 204*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10539*p - 171 = 10482*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h**2 + 3*h + 20. Let y be j(-5). Let g = y + 96. Let r be (2 - 0 - g) + (-1 - -2). Solve -2*c + 5*v - r = -23, -3*c = -v - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 9 = -8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 + 13*j**3 + 0*j**3 + (-4 + 4 + j**2)*(2*j - 8*j + j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by (-2470)\/(-91) - 11 - (-2)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - -0.3. Let p = -1 + i. Let t = -2597 - -23371\/9. Which is the third smallest value? (a) -1\/3 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4*u - 34983*f**2*u**2 - 209*u**2 - 3*u + 6 with respect to f.\nAnswer: -8*f**3*u - 69966*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-166 - -167)*(1162\/(-77) + 14)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*m = 80*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -7228.\nAnswer: 50596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-14))\/((-2)\/(-8)). Suppose 47*o = 49*o - 16. What is the highest common factor of i and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26239 times 126\nAnswer: -3306114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2. Let o(t) = -t + t**2 + 2*t**2 - 2*t**2 + 0*t**2. Let g(f) = b(f) + 2*o(f). What is the second derivative of g(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.5318\nAnswer: 1.5954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-1 + 4\/3). What is the fourth smallest value in -0.5, -3, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1192 - 1836 = 0. Suppose -8*y + 1267 = -q. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**3 - 2*a**2 + 3*a - 1. Let p be (3*1)\/(39\/26). Let k be l(p). Calculate the highest common divisor of 30 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/(-735))\/((-1)\/(-7))*(-5)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 91327 (base 10) to base 2\nAnswer: 10110010010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -t + 7, -37 = -t - 5*q - 10. Find the third derivative of 107*d - 7*d**5 + 6*d**t - 107*d wrt d.\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**4 - 5570*k**3 + 33785*k**2 + 207350*k + 168000 = 0.\nAnswer: -1120, -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19521, 17662, 14557, 10200, 4585, -2294?\nAnswer: -10443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10978 and 272294.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = f - 6*f - 2*s, 4*s = 3*f + 16. Suppose 0 = -3*g + 8*g - 15. Suppose 0 = -2*h + 8, m = -h + 3 + g. Sort f, m, 4.\nAnswer: f, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 556\nAnswer: 222.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 38829702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = 5*m. Let k be 1472 + 16\/4 - m. Is (k\/(-8))\/((-5)\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + p + 3290 - 17854, -14564 = -4*l + 3*p. Is l a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19760892 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.64? (a) 0.3 (b) -2\/7 (c) 33 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114485*o**2 - 57242*o**2 + 5*o - 5*o - 57250*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -15*r**2 - 11*r - 11. Let z(g) = -4*g - 26. Let w be z(-12). Let s(c) = -4*c**2 - 3*c - 3. Determine w*s(h) - 6*p(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 949641 and 1239.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 - 1)*(7 + -2) is divided by (-1 - 26\/(-8))*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13702, -27352, -41010, -54682, -68374?\n\"Answer: -j**3 + 2*j**2 - 13649*j - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -7400 (b) -3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - 30639?\nAnswer: -30625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2598 and 13?\nAnswer: 2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -78*f. Let b(w) be the first derivative of -w**2\/2 - 65. Determine b(h(u)).\nAnswer: 78*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*n = -14 - 5, 5*a - n = 137. Let i be (-2)\/(-4) - 15\/(-6). Calculate the greatest common divisor of a and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, x: 5}. Give prob of picking 2 x and 1 m.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) - (140\/240)\/((-2)\/(-4)). Which is bigger: l or -0.0455?\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -365886*y**3 - 199532 with respect to y.\nAnswer: -1097658*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + t - 17 = -2*t, -h = 2*t + 27. Let g be 1 + 0 + 0 - (2 - h). Are -26 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645495 is divided by 80.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -2141.\nAnswer: -2141.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 41 + 5*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 453*b - 5213. Give r(12).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 11*k**2 - 20*k + 23. Let o be r(9). Suppose 4*s + n = -0*n + 27, o*s - 27 = n. What is the least common multiple of s and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 4. Let y = -473.1 - -473.6. Sort 1, d, y, 3.\nAnswer: d, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/(65\/(47 - 242))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**2 + 26*u**2 - 47*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 q when four letters picked without replacement from qtgggtggtgqg.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*y + 10 = 32, -9 = -2*i + y. Let j(g) = -2*g**2 + 2*g**2 - g**2 + i*g + 4. Let d = 4 - -1. Determine j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10 + 33*x + 12*x**2 - 9 + 30*x - 14*x**2 wrt x.\nAnswer: -4*x + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 46782?\nAnswer: 233910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 209*s = 204*s - 15, 2*s = -2*h - 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 6:08 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 13 = m. Is 0.4 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 3*s - 5*s + (0 - 4 + 1)*(0 - s + 0))*(4*s - 4*s + s**4).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-20) - (-170)\/8. Suppose -2*f = -3*n + t, n = 5*f - 3*f + 7. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 10:50 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, 1 s, and 1 w when four letters picked without replacement from gwysxrs.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44383\/8 + -5538. Calculate the common denominator of v and 81\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:39 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 206 and 55666144?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1055, -5, -2\/9, -3, 0.5, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -343343343 (base 5) in base 14?\nAnswer: -2c2770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*m + 3915, 16*m + 2*c = 20*m - 7854. List the prime factors of m.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*u + 40*u + 7*u**3 + (5*u**2 - u**2 - 5*u**2)*(3 - 3 + 2*u) + 3*u**3 - 2*u**3 - 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -13. Let z be 6*4\/v + -34. Let s = -31 - z. Solve 3*b - 2*o = -10, s = 2*b - 6*o + 3*o + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -a - 3*f, -3*f = -5*a - 4*f + 1417. Let r = a + 171. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 + 9*a. Let n(b) = b**2 + 1. Let m(d) = g(d) + 2*n(d). Give m(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 729 and 2\/(-74) - (-8200020)\/8436?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 9:18 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4 + 1687*p**3 + 158123*p**2 + 3815189*p = 0.\nAnswer: -1589, -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + ((-3)\/4)\/(37\/(-148))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8142.\nAnswer: 2, 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**3 - 13*l**2 - 6. Let o(z) = -11*z**3 + 27*z**2 + 13. What is -9*j(m) - 4*o(m)?\nAnswer: -m**3 + 9*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*w + 1449 + 18155 = 0, -2*m - 3*w + 39208 = 0. What are the prime factors of m?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430 (base 8) in base 5?\nAnswer: -11132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2076 divided by -3?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -11*v**3 - 9*v**2 - 8. Let m(h) = h**3 + h**2 + 1. Determine -18*m(w) - 2*n(w).\nAnswer: 4*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-3))\/(15\/27). Let c be (3560\/600 - 4\/(-10)) + (3 - 9). What is the nearest to c in 2\/15, -1, b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 0, 29 = -3*v + 5*g - 4. Let d = 1 - v. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, -1, -2, 2, -177.\nAnswer: -177, -2, -1, 0, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w + 36. Let b = 90 + -86. Solve b*q + w = 5*p, -5*q + 1 = -2*p - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95582 - 31858 - 31854 - 31856 - 5*u.\nAnswer: -5*u + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96460 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/51)\/(3\/((-9)\/4)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from tcitccqtqqcxqc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 5:59 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-28) + (-905)\/(-20). Calculate the greatest common factor of d and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-15 + (-18 - -10) - 7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 15*c + 3260 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3, 1, 2\/11, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 235 + 235)*(456 - 800 + 401) to i + y*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 5. Let o be i(-3). Suppose 5*w = -5*v - 40, 0*w - 8 = 3*w - 5*v. Let k = 3 + w. Put -1, o, k in increasing order.\nAnswer: o, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69)\/(-42)*17*(-154)\/(-935)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*b = 3*u - 206*b - 55, -4*u = b - 78 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2576938 and 5824.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 j when three letters picked without replacement from ttjjjjjtxttjj.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**2 - 4*d**2 - 3*d**2 + (-3 + 3 - 3)*(5*d**2 + 4*d - 4*d).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9709750 or 9709748?\nAnswer: 9709750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072235 is divided by 379?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**5 - 2*k**4\/3 + 4*k + 15. Let z(n) be the first derivative of t(n). Find s, given that z(s) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) 2 (c) 0.3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30932131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-19\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -94896284196.9.\nAnswer: -94896284196.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/22 and (-1)\/(-74)*-310 + 6*20\/24.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 21*j + 24. Let w be x(20). What is k in 2*k**2 + w*k**2 - 2*k**2 + 12*k = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1\/9 (c) 0.4 (d) -1\/3 (e) 0.069\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from mmmmaaaaammm.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.002782 days in milliseconds?\nAnswer: 86640364.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 2 - 2 + ((4*k**2 + 0*k**2 - 2*k**2)*(1 - 1 + 2) + (4 + 0 - 2)*(2*k**2 - k + k))*(0*k + 6*k - 4*k).\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99716495.\nAnswer: 5, 19943299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 - 5. Let p(l) = -l**3 - l**2 + 1. Give 15*p(i) + 3*w(i).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - c**2 + 0*c + 2*c. Let b be i(-1). Suppose b = -s - s + 62. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 d when four letters picked without replacement from {d: 7, b: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 1\/8*f**4 - 3*f**2 + 0*f + 0 - 1\/1344*f**8 - 1\/140*f**7 - 1\/120*f**5 - 11\/480*f**6 + 1\/3*f**3. Determine r so that z(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z + 271. Let g be j(-43). Differentiate 111*w - 13 - g + 168*w + 10 wrt w.\nAnswer: 279","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -18 - 30. What is the highest common divisor of k and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joajoxoooaoxdoooooo. What is prob of picking 1 a and 1 d?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -45*b + 485. Solve b = 24*u - 57 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/81 or 590090?\nAnswer: 590090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6 = 5*c + 81, -n + 18 = -2*c. Suppose -3*p - 2129*y = -2134*y - 11, p - 4*y = -8. What is the highest common divisor of p and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1246 and 560.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139692 or 142527?\nAnswer: 139692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*132\/8 - 4. Let l = s + 42. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1200 * -75302.\nAnswer: 90362400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, p: 4}. What is prob of picking 2 p and 2 a?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 a when three letters picked without replacement from {j: 4, g: 3, a: 2, h: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/835 < 33701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -190, -281?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + j**2 + 11*j + 4. Let d be h(-2). Let o = 9 + -1. Solve -o - d = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7603218.\nAnswer: 2, 3, 7, 60343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 10*p**2 - 21*p + 11. Let u be j(7). Let g(l) = 3*l + 0*l + 3*l - u*l. Let n(i) = -i. Give g(n(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2535398 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -120*h**2. Let c(a) = 4*a + 49. Give p(c(r)).\nAnswer: -1920*r**2 - 47040*r - 288120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 6*i - 7. Suppose 4*o - 24 = -4. Let r be a(o). List the prime factors of (1 - 0) + 17 + r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**4 + 775*r**3 - 1525*r**2 - 775*r + 1530 = 0?\nAnswer: -1, 1, 2, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((14 - 5) + -11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -212201001?\nAnswer: -212200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7595 times 0.03094?\nAnswer: 234.9893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 5*t + 3, 6*n - 2*t + 29 - 41 = -24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, x: 11, q: 1, z: 3, f: 2}. What is prob of picking 1 q, 2 x, and 1 u?\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.61306 + 138.76\nAnswer: 140.37306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.334 - 283.666. Let d = f - -284.313. Round d to 2 decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 2662 = 3*j + 10*x, 2*j = 5*x + 1779. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52725 and 909150.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5772008?\nAnswer: 2, 11, 107, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 3, 7, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/700, 0.1, -2\/3 in decreasing order.\nAnswer: 0.1, -3\/700, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -823*c + 2511. Let n(r) = 10*r - 2. Let d(o) = -9*n(o) - y(o). What is the derivative of d(i) wrt i?\nAnswer: 733","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, -2, -0.42, 0.49 in increasing order.\nAnswer: -2, -0.5, -0.42, 0.49, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(99)*1)\/(sqrt(576) - -1*sqrt(576)).\nAnswer: 3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -147*u**5\/8 - 164073*u**4\/8 - 11073033*u**3\/8 - 1468071*u**2\/8 + 1852875*u\/2 - 253692 = 0?\nAnswer: -1044, -72, -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 2, f: 1, u: 2, x: 1}. What is prob of sequence xb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 119.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 81 = 3. Let n = 68 + -27. Calculate the remainder when n is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23755, 23684, 23613?\nAnswer: 23542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -28*y**3 + 6*y**2 + y - 4. Let d(t) = -55*t**3 + 11*t**2 + 2*t - 7. Let i(p) = 3*d(p) - 5*q(p). What is the units digit of i(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/52 and (2\/429)\/(132\/4455)?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 36, -406*w - 4*x = -402*w + 64 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -370*k**2 + 2*k - 2. Let u(z) = 2*z - 9. Let w be u(5). Let h be c(w). Round h to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4638\/2407 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**4\/12 - d**3\/3 - 5*d**2\/2 - 2*d. Let z be n(4). Is 12 + 2\/(3\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 97. What is the third biggest value in -3, 0, 1, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9452.694l?\nAnswer: 9452694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times 1.9?\nAnswer: -0.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 21. Suppose i + 9745 = -4*z + r*z, 0 = i. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 5*r - r. Suppose y = 3*f - 4, f = -0*f + y. Let l(u) = u - u**f + 0*u - u. What is b(l(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2 + 2 + 4*j + 0*j - 2*j + (j + 0*j + 0*j)*(4 - 4 + 1) + 4*j - j - 2*j - j - 2*j + 4*j)*(-33 - 2*j + 33)*(0 + 3 - 1).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/13 (c) -5 (d) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-122)\/(-5) + (-4)\/10. Let r = w + 11. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*n = -16, 2*n + 1 = -p + n. Let i = -0.3 + 0.3. Let u = -0.5 + i. Which is the biggest value? (a) p (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g + 13*g + 9*g - 9*g**2 + 11*g**2 - 110 to q + d*g + w*g**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8804 or 8796?\nAnswer: 8804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 122 + 180 - 45 + 199 - 52 + 2*o in the form a*o + r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2416 + 2428 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5*x + 1. Let m be h(5). Does 16 divide (-27)\/(0 - 1\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 19*f - 5. Let b(l) = 7*l - 1. Let p be b(1). Let i be h(p). Calculate the greatest common divisor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n - 3*t + 21, 3*n + 11 = 4*t. Suppose 13 = 3*d + c, -d + 4*d - 9 = -n*c. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1163\/38 - -2\/19. Let t = -30 - w. Let u be (-4)\/(-6)*13*6\/13. Is t <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4972 - -4976. Which is the third biggest value? (a) g (b) -2\/7 (c) 21 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/(-13) + (0 - -1). Which is smaller: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 577396528*t - 145690876.\nAnswer: 577396528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-144)*8)\/((-2)\/(-4)*15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -22. Solve -p*r = 3*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145407725 + 145407725 - 24*x**2.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633133 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2123, -4202, -6295, -8408, -10547, -12718?\nAnswer: -14927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 2*p - 34*p + 17 + p.\nAnswer: -31*p + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 341083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/547 (b) 37.896 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.01 + 0.01. Let d = -2 - o. Let p = -221\/5 + 44. What is the closest to 0.2 in p, 2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1472\/(-138)*(-3)\/12.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.017528*586.1\nAnswer: 10.2731608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*o + 2 = 0, 3*o = -u + 4*o. What is the remainder when 0 - ((-99 - u) + 1) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(5\/400580*12). Suppose -14*m = -17869 - t. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1165452 divided by -3.\nAnswer: -388484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4*-3 + 341124\/112. Suppose -12*w = -27*w + c. What is the remainder when w is divided by 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-6 + -2 - ((-3 - (2 + 7)) + 7)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 20)\/(4\/10). Suppose 723 = 23*z - 343 - 176. Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 223 and 1419.\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hghhggggghgghgggggg.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 434, 887, 1340?\n\"Answer: 453*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34 - 1.94. Let s = o - -1.66. Which is the second smallest value? (a) 3 (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 108, 130, 188, 300, 484?\n\"Answer: 3*w**3 + w + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339 is divided by 1339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 + 123*q - 94)*(-2 + q**2 + q**2 + 0).\nAnswer: 246*q**3 - 246*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*b + 2*p - 12, 5*b = -p. Solve -5*t - 6 + b = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 9:48 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 244?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-915)\/75 + 11)\/(((-30)\/175)\/(-3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - -1*sqrt(80)*2) + sqrt(80))\/((-2*sqrt(4) + sqrt(4))*5 - (sqrt(4) - (3*sqrt(16)\/sqrt(4) + sqrt(4)))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-5\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60511 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -25 (b) 1\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2 + sqrt(2) + sqrt(2))*-3 - sqrt(2))*-2.\nAnswer: -84*sqrt(2) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -18, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -23950*n**2 - 5. Let h(j) = 59870*j**2 + 12. Determine -5*h(p) - 12*u(p).\nAnswer: -11950*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = -5*t, -t - 2 = 5*v + 2*t. Let q = -5 + 11. Let w = v + q. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u**5 - 3492*u**4 - 215224*u**3 - 2548692*u**2 + 5252000*u + 1468944 = 0. Calculate u.\nAnswer: -101, -18, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 46420 + 92845 - 46425.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**3 + 7*z**2 - 10*z - 9. Let f(a) = -5*a**3 + 6*a**2 - 9*a - 8. Determine 7*f(j) - 6*r(j).\nAnswer: j**3 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-22 - -8) - (-1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1958, -3921, -5886, -7853, -9822, -11793, -13766?\n\"Answer: -g**2 - 1960*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4417?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.8. Let d = 0 + n. Let k = 6 - 11. Which is the smallest value? (a) -0.2 (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 2*z**2 - 7. Let l(f) = 2*f**2. Calculate l(r(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p - f - 40, -4*p - 3*f = -24. Let c be (-21)\/(-63)*(5 - 2). Does 15 divide (p - -206) + c + (0 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -424 + 1126. Is m a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 25 = -5*v, p + 20 = 29*v - 25*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 6*i = 18, -4*i + 5*i = -3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2779, -5, -1\/11 in increasing order.\nAnswer: -5, -1\/11, 2779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + w**3 + 4*w**3)*(-5 - 1 - 1)*(15 - 4 - 3 - w).\nAnswer: 14*w**4 - 112*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 20.72 micrometers?\nAnswer: 0.02072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 0 + 0)*(-3 + 0 + 1) + 53 - 53 - 7*u + (2 - 5 + 0)*(-4*u + 2*u + 0*u) as h*u + k and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21514645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*7\/490*-7?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12258309 (b) -2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, -5, -3814?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.18491 nanometers to millimeters.\nAnswer: 0.00008918491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 2:30 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Suppose 0 = -i - p*i. Let o be 4\/(i + (1 - -1)). Which is the third smallest value? (a) 0 (b) 1\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y + 55. Let q be b(-14). Let p = 0 - 0. Sort -5\/6, q, p in increasing order.\nAnswer: q, -5\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Let i = 2.33 - -341.67. Let x = -346 + i. Which is the third biggest value? (a) -1\/3 (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 1, -4*b + 5446 = n - 3*n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2202 - 28606\/13. Let f be (1 - (-238)\/(-208))*-50. Let t = f + q. Find the common denominator of t and -50\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21864 divided by -5466\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(((-40)\/(-30))\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.16107207 rounded to four dps?\nAnswer: 3.1611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 4, g: 1, q: 1, u: 7}. What is prob of sequence gu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 287, 876, 2005, 3854?\n\"Answer: 30*k**3 + 19*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6842338 is divided by 1710570?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191637185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010 - -10?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(147) - ((sqrt(147) - (sqrt(147) + -1)) + -1)) - (3 + sqrt(147) + sqrt(147) + 1 + sqrt(147))*6.\nAnswer: -133*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-1\/4)*u)\/u*u)**(-20)*u**(-2\/5)\/u**(6\/5))**24)**49 assuming u is positive.\nAnswer: u**(-97608\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1903.59 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -2, -4 in ascending order.\nAnswer: -4, -2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15d - -4d29?\nAnswer: 4baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 2*h + 6. Let l be z(-3). Let x be 1*(-249)\/l - 5\/(-15). Suppose 0 = 2*o + 2 - x. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1\/5, 3, -4\/3, 467, -0.2 in decreasing order.\nAnswer: 467, 3, 1\/5, -0.2, -2\/9, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 66 = -56. Suppose 0 = x*r + 2*k + k - 22, -5*k + 10 = -5*r. Suppose -6*w + 1028 = -r*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + a?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2115981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -13 + 2 + 2 - (-6 + -1) - -31\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.35 - -287.21?\nAnswer: 294.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 t when three letters picked without replacement from {t: 3, v: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 5. Let q be l(4). Suppose 0 = -z + q*z - 6. Solve 0*w = z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 426954, 1707779, 3842486, 6831075, 10673546, 15369899?\n\"Answer: 426941*c**2 + 2*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/150594 and 35\/6.\nAnswer: 150594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 9, p: 5}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1152) + (sqrt(1152) - sqrt(1152)*-1) + sqrt(1152) + sqrt(1152) + sqrt(1152))\/((sqrt(72)\/sqrt(2))\/sqrt(9)) + -2.\nAnswer: -2 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 4*v**6\/5 + 23*v**5\/5 - 4*v**4\/3 - 357*v. Factor m(d).\nAnswer: 4*d**2*(d + 4)*(6*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -81*q**2 - 37*q - 121. Let z be n(10). What is z rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (1 - -7) + (35 - 50).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - -1 - (-40 - -35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -3*y**5\/20 + 11*y**4\/12 - 2*y**3\/3 - 5*y**2\/2 + 983*y. Give c(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1590 - -27014\/17. Let n = y - -146\/119. Let r = 0.2 + 0.3. Which is the second biggest value? (a) r (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - j**2 - j. Let r = 3 - 4. Let z be f(r). Let q(u) = -z + u - u**3 + 1 + 4*u**2 + 2*u**3. Give q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:34 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 19*w**3 + 8*w**2 + 6*w. Let y(l) = -18*l**3 - 9*l**2 - 5*l. Let n(m) = 5*t(m) + 6*y(m). What is the third derivative of n(u) wrt u?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 4)*(1 + 1 + 0) + 3 - 1 + 0)*(-17*l + 14*l - 27*l)*(-16 - 11 - 5)*(2 + l - 2).\nAnswer: 3840*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 200*f**2 - 200*f - 225. Determine r(-199).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -2314?\nAnswer: -2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 2)\/3*1. Suppose -4*i + 0*i = k. Solve y + i*x + 4*x = -4, 3*y = 2*x + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19132 divided by 4?\nAnswer: -4783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*i**2 - 402*i**2 + 647*i**2 + 161*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25896 or 25889?\nAnswer: 25889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5806135512?\nAnswer: 2, 3, 1619, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjj when three letters picked without replacement from {s: 1, j: 3, v: 12}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 571121699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {x: 4, l: 1, c: 6, e: 2, d: 4, b: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2249002.\nAnswer: 2, 7, 53, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 8*h + 20. Determine c(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*v, m - 3*v - 4 = -12. Let x be (-1)\/(-5) + (-24)\/(-5). Suppose n = -x*n + 12. What is the remainder when n is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-256)\/60 + (-15)\/(-25)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/3 + 2800*n**3\/3 - 2671*n**2 - 352422*n = 0 for n.\nAnswer: -18, 0, 21, 2797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -240+-8.15049\nAnswer: -248.15049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -78. Put 1, r, -4 in ascending order.\nAnswer: -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*x + 68, -2*x + 33 = 2*o - 23. Calculate the remainder when 1149 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8308000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l - 1. Let c be w(-3). Let o = -10 + c. Suppose t = o - 2. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -i + 11 - 0, 0 = 5*i - 2*m - 16. Suppose -4*g + i*v + 6 = 0, 3*g = 7*g + 3*v - 11. Solve x + 7 = -4*q - 10, -g*q - 3 = -5*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 9*k = 0. Let u(h) = h**2 + h - 4. Let z be u(k). Let a be (-71)\/z - (-2)\/8. Calculate the greatest common divisor of a and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 4*(-2)\/16*-2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16942121 * -5\nAnswer: 84710605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:14 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304*c - 17924 + 972 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 315 - -32?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1, -196\/3, 4, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41\/3 - -307\/18. Let n = -1693 - -33879\/20. Calculate the common denominator of m and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f = -18*f + 5*n - 20, f + 4*n - 29 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 7937736*m + 142878600.\nAnswer: 2*(m + 18)*(m + 3968850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -49.79. Let t = z + -0.01. Let s = 0.220017 + t. What is s rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 35 + 35)*(-2 - 1 + 5 - 2 + 0 + 1 + (4 - 1 - 2)*(-3 + 1 + 0)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {f: 2, r: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**6 - 4057*a**3*k - 2*a**2*k - 56*a*k - 5*a - 3*k wrt a?\nAnswer: -360*a**3 - 24342*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -18 + 9 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-3 - -3) - ((-32)\/20 + -2). Let f = -0.9 + 1.1. Put g, 10, f, -5 in descending order.\nAnswer: 10, f, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3653235 - -6?\nAnswer: -3653227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-7)*-3 - (-64)\/896. Let n = -1.04 - -0.04. Which is the closest to n? (a) l (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 2:59 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*n + 148, 2*g + 65 = 3*n + 277. Let w = -67 - n. Sort w, 26, -4 in descending order.\nAnswer: 26, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -45. Let s be 1*l\/(7\/3). Solve 19 = -s*d + 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723*r + 15*r**2 - 723*r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.35, 5, 1\/7, 0, 4 in descending order.\nAnswer: 5, 4, 1\/7, 0, -4.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17493*p + 3290. List the prime factors of w(2).\nAnswer: 2, 7, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 5*b + 6. Let m be g(-6). Let d(h) = -h**2 - 1000000. Let o be d(m). Round o to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25735051 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + 16\/6. Solve 1 + j = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -378\/2281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -31. Calculate the remainder when (-12)\/(-2 + o) + 18 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13566.296 * 22.\nAnswer: -298458.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**18*j\/j**(-1\/12) assuming j is positive.\nAnswer: j**(229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 + 2*c - c**4 + 3*c**4 + c**4 - 3*c**4 + c**3 + 2*c**4 - c**3 + (0 - 1 + 3)*(-3*c**4 + 2*c**4 + 3*c**4) - 3*c - 2*c**4 + 3*c.\nAnswer: 4*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 - 13.7. Let q = 44 + p. Let g = 28.6 - q. Sort -4\/7, 2\/13, g.\nAnswer: -4\/7, g, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1121171\/9 - -124746. Let j = p - 171. Which is the second biggest value? (a) -3 (b) -1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 173*w**5\/20 + 211*w**4\/12 + w**2 + 55*w. What is the third derivative of s(l) wrt l?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185*n**4*w**3 + n**4*w**2 + 2*n**2*w**2 - n**2 + n*w**3 wrt n.\nAnswer: 4440*n*w**3 + 24*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -305\/462?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o - 26. Let p(k) = -9*k - 25. Let x(i) = -5*l(i) + 6*p(i). What is the derivative of x(s) wrt s?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 - 304616*s**2\/9 + 3929364350*s\/3 - 1594592052500.\nAnswer: 2*(s - 75525)**2*(s - 1258)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*h = -32, -3*h + 5*h = 3*f - 38. Suppose -26*g = -f*g - 58288. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7419 is divided by 1688?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/5, -2428, 0.1, -2, -198?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 326 + -1636\/5. Which is the third biggest value? (a) 3 (b) r (c) 0 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 2*y**2 + 58*y - 665. What is u(15)?\nAnswer: -3620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 2. Let w(b) = b - 1. Let i(x) = -m(x) + 3*w(x). Let h(p) = -10*p - 4. Let r(c) = -h(c) - 8*i(c). Determine r(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5279, -4, -1, 1 in ascending order.\nAnswer: -4, -1, 1, 5279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 8, 3*x - 11 = a - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 4, -3 in decreasing order.\nAnswer: 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + p = -3*p + 25, 5*c + p = 36. Let q = c + -5. Suppose -3*b - l = l - 11, q*l - 1 = -b. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000092563 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26527732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:57 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.51? (a) -2\/15 (b) -0.01 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 125 = 215. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 81 = 568*m - 564*m, 3*m = 3*x - 60 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/96 and -33\/98?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85258 (base 11) to base 10.\nAnswer: -124088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-19)*f*f)\/f)**(-2\/17)*(f*f**(-5\/3)\/f)**(2\/33) assuming f is positive.\nAnswer: f**(3394\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 8*h**2 - 8*h + 2. Let u be n(6). Let j = u - 17. Suppose 0 = -3*s - 0*s + j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20396, 18399, 16390, 14363, 12312?\nAnswer: 10231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - 1000110110011111001?\nAnswer: -1000110110011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56556 (base 7) to base 8.\nAnswer: -34015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 64. Let i(b) = 2*b + 1. Let q be (-2)\/4*(2 - 4). Let n(d) = -d. Let u(j) = g*i(j) + q*n(j). What is the derivative of u(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2121110020011120?\nAnswer: 2121110020011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 37 = 28. Suppose -2*k + g*x = 6 - 30, -2*k = -x - 40. Calculate the remainder when 41 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -93 - 34962?\nAnswer: -34a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1765027\nAnswer: 5\/1765027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 6*w**2 - 5*w + 5. Let c be b(5). Suppose -5*z + 5*f + 17070 = 0, -3*f - 17110 = -c*z - 8*f. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3*i - 15, -5*r - 12*i = -0*i - 30. Let s(f) = -f**2 - 10*f + 6. Let z(v) = -2*v**2 - 29*v + 17. What is r*z(g) + 17*s(g)?\nAnswer: -5*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = w + 2*k, -5*w + 29 = -4*k. Suppose 3*b - 2*x = 756, 0 = 2*b - w*x - 543 + 39. Does 28 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-6))\/(-4))\/(190*202\/6447840).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -779.808 and -3.3.\nAnswer: -783.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529 divided by -7617?\nAnswer: -1529\/7617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r + 8\/21*r**7 + 27*r**5 + 855\/8*r**4 + 5\/336*r**8 - 17 + 270*r**3 + 17\/4*r**6 + 2*r**2. Factor k(d).\nAnswer: 5*(d + 3)**4*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**3 + 13*b**2 - 26*b + 5. Let k(v) = v**3 + 5*v**2 - 9*v + 2. Let n(p) = 11*k(p) - 4*o(p). Let j be n(-2). Solve 0 = 26*r - 29*r + j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.2617?\nAnswer: 0.02617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001295 rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 508724234383*g - 508724234383*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(252)*-4 + sqrt(252) - 3*sqrt(252)*5)**2 + 1 + -2.\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**15*t)\/t)\/t)\/t*t\/t**0*(t*(t\/(t**5\/t))\/t)\/(t*t**(-15)) assuming t is positive.\nAnswer: t**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277598 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/95 and 85\/16454.\nAnswer: 82270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 976 and 941352.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 8*f**2 + 2*f - 8. Let n = 11 + -3. Let b be x(n). Solve -2*z = -6*z + b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 70*b + 2479. What is w(-57)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(612)*-4.\nAnswer: 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2562*y**2 - 2 - 8 + 2551*y**2 in the form s*y**2 + q*y + i and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k + 2. Let u be z(2). Let n = -14 + -5. Let y = n - u. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.062*0.010295\nAnswer: 0.00063829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 95 - -1924809?\nAnswer: 19248a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 24674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -13*g - 32. Put -1, 2, -32, g in ascending order.\nAnswer: -32, g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -69*t**2. Let z(h) be the first derivative of 19*h**2\/2 - 2306. Determine z(f(s)).\nAnswer: -1311*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131 is divided by 397.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18565 = 1107*j - 14645 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 - 12*n - 3. Let y(f) = 2*f - 3*f + 3 - 4. Let d(u) = -p(u) + 3*y(u). Find j such that d(j) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -1 - 23\/6*d**3 + 0*d**2 - 17*d. Let f(u) = -u. Determine n(f(x)).\nAnswer: 23*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sso when three letters picked without replacement from ccurscuuscssuucssro.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/2 - 9\/6. Suppose 3*g - 7 = -u, -18 = -2*u - g - r*g. Suppose -4*k - 4*h - 5 = -61, 2*k = -3*h + 29. What is the highest common factor of k and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:51 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 703134 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 38*i**2 + 5*i + 7. Let v(w) be the third derivative of 19*w**5\/60 + w**4\/12 + w**3\/2 + w**2 + 23*w. Give 3*n(u) - 7*v(u).\nAnswer: -19*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101562948, 101562950, 101562952?\n\"Answer: 2*v + 101562946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = 2*j - 0 + 18, -4*j + 13 = 149 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5, 5\/3, -0.07, -330, 5\/2, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*(z*z*(z**1\/z)\/z)\/z*z)\/z)**(4\/9))**3)**(-41) assuming z is positive.\nAnswer: z**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*g**2*o - 1516*g**2 + 33*g - 47690*o + 11 wrt g.\nAnswer: -52*g*o - 3032*g + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2. Let i(y) be the third derivative of 17*y**5\/60 + 125*y**2. Give g(i(r)).\nAnswer: -578*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/3, 0.051, 1\/4, 14, 0.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/66 + 5 + 58\/(-6). Let z(n) = 22*n**3 - 4*n**2 + 4. Let k(o) = 351*o**3 - 63*o**2 + 63. Calculate c*k(d) + 63*z(d).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:11 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -878, 2 in descending order.\nAnswer: 2, 0, -878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -7*u**4\/6 + 5*u**3\/6 - 3*u**2 - 108*u. Find the second derivative of n(p) wrt p.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 13 + 10 - 9 = 0. What is the closest to -1 in -6, r, -97?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 220921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -504, -981, -1458, -1935, -2412, -2889?\nAnswer: -3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 13)*(-369)\/15?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*a**4\/11 - 10026*a**3\/11 - 66344*a**2\/11 + 301704*a\/11 - 34560\/11 = 0. Calculate a.\nAnswer: -288, -10, 2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 266866?\nAnswer: 266866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 4*b - 4. Suppose -a - 2*a + 18 = 3*q, 0 = -2*a + 6. Let v be (1 - q\/(-1))*1. List the prime factors of t(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4387 + -4387. Solve s = 3*y - 5*u - 14, 11*u - 4 = -4*y + 14*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:09 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 44 - 9)*(-237*p**2 - p**2 + 132*p**2 + (3*p + 0*p - p)*(-3*p + 4*p + 0*p)).\nAnswer: 4680*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 83932 = 31082. Let y = 12213 + k. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 450\/(-40) + (-5 - -1). Let b = c + 16. Factor 0*d**2 + 0 - b*d**3 + 0*d.\nAnswer: -3*d**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 9:23 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-448))\/(6*(5680\/(-96))\/71).\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*f**2*j**2 - 280076*f**2*j - 19496094*f**2 wrt j.\nAnswer: -14*f**2*j - 280076*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 0)*((-136)\/24 + 6). Calculate the lowest common multiple of (0 - h) + 13 + -6 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 * -3321\nAnswer: 66420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((5*2*sqrt(6336) + sqrt(6336) - sqrt(6336)) + sqrt(6336))*-1)\/(((2*sqrt(100) - sqrt(100))\/sqrt(5))\/(sqrt(10)\/sqrt(2)*2)))**2.\nAnswer: 766656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8824 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -9, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c**(-2)*c)))\/c)\/(c\/(c*(c**(-2\/17)\/c*c)\/c)))\/(c**(-1\/5))**(-22\/9) assuming c is positive.\nAnswer: c**(-1994\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times -1510.21?\nAnswer: 46816.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0 + 7\/24*j**4 - 2*j**2 + 0*j**3 + 0*j. Let g(y) = -2*y**2. Calculate g(m(h)).\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2e1 (base 16) to base 7\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 - 4*r - 1. Let g be a(-5). List the prime factors of ((-84)\/(-8))\/(g\/(-8)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 12:54 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 15*d + 2. Let h be f(-15). Let b(y) = 146*y**2 - 76*y**h - 81*y**2. Let r(k) be the second derivative of k**4\/4 + 2*k. Determine b(r(x)).\nAnswer: -99*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u. Let i be v(1). Let l = 4 - i. Which is the third biggest value? (a) -3 (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:10 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from trttuttturut?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 + 2*o + 11. Let a(i) = 11*i**2 - 4*i - 23. Let b(l) = 3*a(l) + 5*c(l). Let d = 343 - 338. List the prime factors of b(d).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706*i - 4398149 + 4398149.\nAnswer: 706*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-102)\/9)\/(2\/(-3)). Let n = c + -17. Solve n*h - 15 = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000112102 + 101121110?\nAnswer: 1102010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 190652879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -496?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -1.25, 12\/7, -0.031?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2. Let a(s) = -8536751*s - 1. Give a(o(n)).\nAnswer: 59757257*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 306 - -5650?\nAnswer: 6256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -3)*-1*10\/(-4). Solve -j + 12 = 5*r - i, -2*j + 19 = 5*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22896 is divided by 22871.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyggggg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -335 or -1004\/3?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-5) + (-27)\/45. Let j(r) = -11*r - 1. Calculate j(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:24 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -254161293.7 rounded to the nearest one hundred thousand?\nAnswer: -254200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 4598448.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824923.\nAnswer: 439, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6878 divided by -6\nAnswer: 3439\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -272 + 174 + 145 - z - 4*z + (0 - 1 + 2)*(-8*z + z + 2*z) as j*z + h and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.151*14.84.\nAnswer: 2.24084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 396784?\nAnswer: 793568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132507?\nAnswer: 3, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1487, -2346, -3151, -3914, -4647, -5362, -6071, -6786?\nAnswer: -7519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(0*l**5 - l**5 + 2*l**5) + (l + 2*l - 4*l)*(5539 - 5539 + 81*l**4).\nAnswer: -80*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1372\/(-294))\/(2\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42017, -42012, -42017, -42038, -42081, -42152, -42257, -42402?\nAnswer: -42593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/(-60))\/(2*5\/(-15)).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2659 and 0.31.\nAnswer: 824.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g**2 - 2*g + 1. Let w be s(2). Let n(q) = -59*q**2 + 54*q - 16. Let u(x) = -49*x**2 + 46*x - 15. Let m(r) = 5*n(r) - 6*u(r). Calculate m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**4*i**3 - 16*g**4*i + g**3 - 153*g**2*i**3 - g*i**3 + i wrt g?\nAnswer: 168*g*i**3 - 384*g*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.09, -8\/3, 3, 0.2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*w**4 - w**3 + 304*w**2 - w + 20596 wrt w.\nAnswer: 1584*w**2 - 6*w + 608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 9, 2\/7.\nAnswer: 1\/10, 2\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 98\/(-4)*((-24)\/49)\/((-38)\/(-133))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19914 + -17662. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*p - 5*o + 308 = 383, 0 = 4*p - o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -168, -287, -456?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -79*d - 46. What are the prime factors of b(-43)?\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3888) - -1*sqrt(3888)))**2 + (sqrt(48) - (sqrt(48) - (sqrt(144)\/sqrt(3))**2))*-4*-1.\nAnswer: 15744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84429 and 6526521.\nAnswer: 345905613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 20 = -0*a. Let p be -2*2\/a*-14. Let d = 30 - p. Calculate the remainder when 46 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -49.47329.\nAnswer: -48.47329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 272.917 + -273. Let o = -918.517 - -919. Let r = o + j. Which is the nearest to 1? (a) r (b) -3\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 500*x - 505.\nAnswer: 5*(x - 1)*(x + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 0*z + 126 = 0. Let h be (-3 - -1) + z\/(-1). What is the highest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2, 0 = -3*p + 7*p + 5*t - 3279. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -673 - -673. Let g be 27*((-10)\/(-45) + z). Factor 3\/2*p**4 - g*p**3 - 6 + 9\/2*p**2 + 6*p.\nAnswer: 3*(p - 2)**2*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.89 and -4?\nAnswer: -71.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*f - 26, 5*k + f = -115 - 87 + 176 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1293130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k - 18 - 19*k + 11 in the form r*k + a and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 768 and -4797.\nAnswer: -3684096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 76, 106, 136, 166?\n\"Answer: 30*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*f + 5*v - 8, 3*f = 5*v - 9. Suppose 21 = f*o + o. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 15 = -0*f. Suppose 2*i + 2 = -5*r, 2*r - 15 - 13 = -4*i. Solve f*d + i = -0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79998, -319934, -719778, -1279488, -1999022, -2878338?\nAnswer: -3917394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8630043 weeks in nanoseconds?\nAnswer: 521945000640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -568*i**2 - 18*i + 6. Let w(q) = -1137*q**2 - 42*q + 14. What is 14*u(b) - 6*w(b)?\nAnswer: -1130*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 4, l: 3, r: 5}. Give prob of picking 1 v and 2 r.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1546 + -1538 - (-4 - -1)) + 31.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9*(-3)\/7. Which is the closest to 0? (a) w (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 22. Let a be ((-1)\/f)\/((-5)\/30). Suppose -2*j + 9 + a = s, 25 = 5*j. Is s not equal to 10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654583.6 millimeters in centimeters?\nAnswer: 65458.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5184) + (3*sqrt(5184) + sqrt(5184))*2)\/(sqrt(108)\/(sqrt(81)\/sqrt(441))).\nAnswer: 108*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/17660305?\nAnswer: -6\/17660305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25238348 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 28. Calculate r(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3409*41\nAnswer: -139769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1627 is divided by 205.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136314 is divided by 15145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683849 is divided by 1749.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3)*(7 + -7). Let x be 8 - (s\/(-6) - -6). Factor 4\/9*a + 0 + 2\/9*a**x.\nAnswer: 2*a*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 + -32?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 986024.3 rounded to the nearest 1000?\nAnswer: 986000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*3 - sqrt(363)) + 5 + sqrt(363))**2.\nAnswer: 330*sqrt(3) + 3292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203615614 (base 7) in base 6?\nAnswer: 1104535044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6820530.4 to the nearest one hundred thousand.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 677517772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - 105. Sort h, 0.3, 0.4.\nAnswer: h, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y + 4*y - 2 + 0*y - y. Is c(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {a: 2, w: 1, y: 1, c: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3600 divided by -80.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1552 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-207)\/(-115)*(-10)\/(-6). Calculate the common denominator of -49\/18 and (5\/(-42))\/(s\/171).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 802.2 and 0.01302 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)*m**(1\/5))\/(m**(-1\/4)*(m*m**(4\/7))\/m) assuming m is positive.\nAnswer: m**(89\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 633.98 + -644. Let w = p - -0.02. Let f be 9\/(-7) - (-1)\/1. Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -192472*g + 185 + 299 + 192474*g to r + m*g and give r.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 23, -2, -21, -28, -17?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464 divided by -1195?\nAnswer: -5464\/1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 11*i**2 + i - 5. Suppose -2*y + 5*h + 20 = 2*y, 4*h = 2*y - 10. What is the remainder when 32 is divided by d(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -18, 2, -2, -1, -81 in decreasing order.\nAnswer: 13, 2, -1, -2, -18, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -5261964?\nAnswer: 5261969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -14296674?\nAnswer: 13\/14296674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 6*a**2 + 5*a. Let m(i) = i**3 + 6*i**2 - 4*i. Let s = -295 + 298. Calculate s*m(h) + 2*y(h).\nAnswer: h**3 + 6*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 78946427, 78946420, 78946409, 78946394, 78946375, 78946352, 78946325?\n\"Answer: -2*x**2 - x + 78946430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1377) + 0 - sqrt(1377)) + -3)**2 + sqrt(1377) - sqrt(1377))*-5.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-946)\/1210 + 2*1\/11. Let q = 14 + -14.1. What is the nearest to q in z, 0.05, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 10*w + 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -1\/30*h**5 - 1\/12*h**4 + 1\/3*h**3 - 4 + 0*h - h**2. Suppose 2*g + 8 = 2. What is u(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -2. Suppose -10*r - 100 = -n*r. What is the remainder when r is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -n + 48 + 33, 0 = 3*n + 4*j - 243. Suppose -n - 157 = 7*c. Let s = c - -182. List the prime factors of s.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k + 45*k + 2402 - 83 = -21*f, -5*k + 348 = -3*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 2*b**6\/9 - b**5\/120 + b**3\/3 - 2*b. Let o(c) be the second derivative of w(c). Is o(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.13 (b) 4\/9 (c) -0.6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.1 - -54. Let u = d + 0.1. Suppose -5*v + 27 = -3*r - r, -3*v = -2*r - 15. Which is the third smallest value? (a) u (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 55.8. Suppose -4*y = 2*m - 12 - 20, 2*y + 4 = 0. Let q be (-5)\/m + 30\/(-8). What is the second biggest value in 0.2, q, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i + 8. Let f(g) = 9*g + 14. Let r(p) = -4*f(p) + 7*m(p). Let c(h) = -h**2 - 15*h - 27. Let x be c(-2). What is r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2959772.\nAnswer: 2, 739943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18796 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 616 and 560.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*b + 3*l, -8*l = -5*b - 4*l + 95. Solve -4*s + b = 27 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114223, -0.01, -7 in descending order.\nAnswer: 114223, -0.01, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 - o**2 + 2*o**3 + 8 - 7*o**2 + o + o**3 = 0. What is o?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + p + 17. Give f(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 4*i + 21. Give z(11).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:24 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/2)\/((-66760)\/5135 - -13). Let b = 1241 - t. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + v + 14, 0 = 2*g - 7*g - 3*v + 9. Let m be 5\/(g + (-20145)\/2878 + 4). What is m rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/(291\/(-97)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, 0, 1 in ascending order.\nAnswer: 0, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 = -11. Let h = 28 + -58. Let d = h + 152\/5. Which is the biggest value? (a) f (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1986 by -2.\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 38217*m + 1928. Is t(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188476177 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/24375422 and -51\/47423?\nAnswer: 24375422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -19.8 (b) 3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -0.2 (c) -2\/15 (d) 125562893 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 34410 = 2*s, -22*k = -27*k - 3*s + 34385. Is 32 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1117.2 and -0.2?\nAnswer: 223.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(128\/(-40))\/(22\/(-5))*2\/920?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 798484 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400 (base 6) to base 16.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*g - 510*g + 395*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2*d**7 + 11*d**3\/3 - 14. What is the third derivative of w(v) wrt v?\nAnswer: 1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1798203 is divided by 232?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 2*q + 2, -5*j + 23 = 5*q - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 40*s**2 + 3*s + 2. Let f be y(-1). Calculate the greatest common divisor of 39 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6640*v = 2*k + 6637*v + 5 - 17, -5*k + 3*v = -39 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 3)*(17 - 2)\/1. Let v(k) = k**3 + k**2 - k - 1. Let z(j) = 30*j**3 + 144*j**2 + 141*j - 99. Let u(y) = r*v(y) - z(y). Factor u(i).\nAnswer: -3*(i + 2)*(i + 7)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2\/7 - 490824*i\/7 - 981636\/7 = 0?\nAnswer: -163606, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*i - 16, -j + 0*i - 3*i = 8. Suppose 5*z - 30 = -5*b, 5*b = 3*z + b - 53. Let y(l) = -z*l**2 + l + 3 + 6*l**2 - 3. What is y(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 times 2\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 145796280.\nAnswer: 1\/72898140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15 + 19 - 3*c**2 + 0*c + 0*c wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1707 - 47851\/28. Calculate the common denominator of b and 47\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*o, 85 = -5*t - 3*o + 46 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*s - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11290389.\nAnswer: 3, 11, 19, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42254 + 127626 = 28*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**10\/1260 + m**6\/180 + 4*m**3\/3 + 4. Let d(j) be the third derivative of v(j). What is the third derivative of d(a) wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8, -22\/29 in ascending order.\nAnswer: -22\/29, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3267?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1217, 1215, 1215, 1217, 1221, 1227, 1235?\n\"Answer: m**2 - 5*m + 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b + 417. Let d(h) = -2*h - 139. Let x(u) = -7*d(u) - 2*z(u). Is x(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5459 and 2987.\nAnswer: 158311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11541*c**3 - 5103*c**2 wrt c.\nAnswer: 69246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-568)\/32 - -17)\/(18\/192)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595 divided by 2.\nAnswer: -595\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fc14 (base 16) in base 5?\nAnswer: 4031112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i + 78*i = -31*i + 1680 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 966 and 89424?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/11 + 16*v**3\/11 + 4*v**2 + 48*v\/11 + 18\/11 = 0 for v.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 8115*x + 4777722.\nAnswer: 3*(x + 866)*(x + 1839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*(135\/(-1))\/(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 671768 and 2113816.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -0.01 (c) 7\/141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*i - 2462, -6*u = -u - 4*i - 3098. Factor -u*d**2 - 3*d**3 + 3*d + 618*d**2 + 6*d - 6.\nAnswer: -3*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/11 + 1514*x**2\/11 + 11388*x - 389376\/11 = 0. Calculate x.\nAnswer: -78, 3, 832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 76252 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -0.1334\nAnswer: 3.6018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 8:58 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q - 275. Let x be t(-27). Let f be (-1)\/(((-9)\/(-132))\/3). Let h = x - f. Solve -s + h = 3*s, 34 = -5*j + 3*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 13*s**2 - 2*s - 8. Let m(i) = i**2 - 10*i + 8. Let o be m(7). What is the remainder when 71 is divided by k(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36173, -141077, -315903, -560639, -875273, -1259793, -1714187?\n\"Answer: 2*v**3 - 34973*v**2 + v - 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/5 + -7)\/(1664\/120640).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66077, -66355, -67113, -68591, -71029, -74667, -79745?\nAnswer: -86503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569363265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 3, 0.5, 0.36 in decreasing order.\nAnswer: 3, 0.5, 0.36, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1825*d - 7*d**2 - 317*d + 516*d.\nAnswer: -7*d**2 - 1626*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2463 = 2*k - 3*o, -4*k - k - 2*o = -6205. Suppose -4*a + w + 992 = 0, -6*w + 5*w = -5*a + k. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*v**6*w - 2*v**6 + v**3*w - v**2*w - 57*v**2 wrt v.\nAnswer: 3360*v**3*w - 240*v**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - 2?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29801.\nAnswer: 17, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4\/7 + 30*y**3\/7 + 72*y**2\/7 = 0.\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 = x, -2*h + 2*x = 3*h - 30. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32450, -31208, -29966?\nAnswer: -28724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Suppose 221 = -c*p + 4*z, -5*p - 224 = -2*z + z. What is the units digit of 127\/5 + 18\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4534186 + -8.2908?\nAnswer: 4534177.7092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/7 - 554*y**2\/7 + 35342*y\/7 - 655590\/7 = 0. Calculate y.\nAnswer: 41, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-1 + (sqrt(325)*-2 - sqrt(325)) - sqrt(325)) + (-3 + sqrt(325) + -2)*3)*5)**2.\nAnswer: 4000*sqrt(13) + 14525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -8) + (1 + -1)\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 157. What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:30 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 u, and 1 p when three letters picked without replacement from nuqpuuunrubnuqnn?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 884195352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 9 = -2*f, -9*y - f + 15 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 18080 = -25*k + 21*k, 36130 = 4*o + 3*k. Calculate the greatest common factor of 148 and o.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17325)\/(-103740) - (((-21420)\/(-182))\/(-15) + 8)\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -68*v**3 + 4*v**2 - 3*v. Let c be d(1). Let s = c - -22. What is the common denominator of -79\/18 and s\/2*(-27)\/225?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 21\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 352*a + 189 wrt a.\nAnswer: 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5684 - 5686. Which is the nearest to 2\/11? (a) t (b) 2\/23 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l + 1 + l**2 + 3*l**2 - 2*l**2. List the prime factors of i(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n**2 - 2. Let d be a(-2). Let z = 0 - d. Solve -q - z = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.563 - -0.5621997. Round u to five decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*i - 513 + 2538 = 0 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 9 = 3*i + 17, -3*j = 4*i + 19. Let s be 4\/4 - (-3 + j + -1). Suppose -31*r = -33*r + s. Let k(y) = -y**2 + 4*y - 2. Give k(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 6*m. Let k(w) = 9*w**2 - 24*w + 1. Let v(z) = 6*k(z) - 26*r(z). Is 15 a factor of v(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 5*k - k)*(-6*k + 15*k + 9*k).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 14*v**7\/9 - 854*v**6\/45 + 1387*v**5\/15 - 2089*v**4\/9 + 2960*v**3\/9 - 800*v**2\/3 + 7*v - 3. Factor f(h).\nAnswer: 4*(h - 1)**3*(7*h - 20)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4 + 26164980*j**3 + 714101901*j**2 + 1 wrt j.\nAnswer: -48*j + 156989880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 5*h**2 - 1. Let f be v(-5). Suppose 24*j + 85 = 26*j + 21*p, -2*j + 5*p = -7. Sort -5, 3, f, j in decreasing order.\nAnswer: j, 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 24, -27369, -1\/8 in increasing order.\nAnswer: -27369, -1\/8, 0.4, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 516.2 - 516. Suppose 5*w + 179 = -3*s, 3*s - 43 = w - 0*s. Let q be w\/(-7) - (-15 - -18). Sort q, x, 1\/3.\nAnswer: x, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/5, 5, -49?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 11*l**2 + 9*l + 12. What is x(-11)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2. Let v(n) be the third derivative of -80*n**2 + 0*n + 0*n**3 + 1\/15*n**5 + 0*n**4 + 0. Determine v(k(a)).\nAnswer: 100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2037\/56 + (-12)\/32. Let q = s + -178\/5. Let x = 2 + -2.5. Which is the biggest value? (a) 4 (b) q (c) 1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*g + 62, 2*d - 26 = d - 3*g. Let l = 9 - d. Let b = 10 - l. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152726491 to the power of 1\/3, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 2 + 103*t**3.\nAnswer: 103*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vurruurrukuruu. Give prob of sequence ur.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(4\/7)*x\/(x*x*x**(-6)*x))\/((x*x**(-3)\/x)\/(x*(((x**(-1\/10)*x)\/x*x)\/x)\/x)))\/((x**(1\/3))**(-3))**(12\/17) assuming x is positive.\nAnswer: x**(9561\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 43*n**2 + 114*n + 45. What is the thousands digit of d(45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 5*j**2 + 14*j + 5. Let k be o(2). Solve -3*d = 2*s - 1 - 6, 0 = 3*s + k*d - 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53583222 divided by 2551582\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 8469.\nAnswer: 8469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -5, -97734.\nAnswer: -97734, -7, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 1474*v**2 - 770*v**2 - 710*v**2 + 10.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + u = 2*z + 11, 5*z + 4*u = -41. Let y be 8\/(-5) + 6\/10. Let i = y - z. Solve -i*f - 10 = -9*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 48 - 394 = -27*c. What is the remainder when 1869 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12109378913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7114 - 6969. Solve -6*b - 127 = -z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (226\/(-4))\/((-5)\/(-12)). Let w = -136 - k. Suppose -17 = -5*x + 8. What is the nearest to w in -0.3, x, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 + 207. Let z = -91 + r. Suppose -a + z - 2 = 0. Solve -5 = 2*u + f, a = -u - f - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -208894391*l**3 - 237765438?\nAnswer: -626683173*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 932*v**2 + 939*v**2 - 1870*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 47. Suppose f - 2 = k, -3*f - 1 = -5*k - 5. Suppose f*a - 2*a = 3*g - 1, 5*g - a = 1. Solve g = -0*s - x*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543219.9 millilitres to litres.\nAnswer: 543.2199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-1\/5))\/t**(-3\/7)*(t**0)**32 assuming t is positive.\nAnswer: t**(92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 - -162. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -4.4. Let a = q - -9. What is the nearest to 0.1 in -1\/6, -0.4, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 251240 and 388280.\nAnswer: 4271080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5401532932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 - 3*m**2 + 3*m - 2. Let k be w(-5). Calculate the common denominator of 23*4\/(72\/(-2)) and k\/(-12) - 0\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49868*l - 49894*l + 149617*l - 49912*l - 4 + 4.\nAnswer: -57*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -19. Let x = 4720 + -4719.9. What is the second biggest value in -6, p, 1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3\/2 - 105*a**2 - 61149*a\/2 + 2637582 = 0. Calculate a.\nAnswer: -148, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46)\/(-6) - (-10)\/(-15). Suppose 12 = 2*v - 0. Find the third derivative of 3*f**6 + 4*f**6 - f**v - i*f**2 wrt f.\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 6:27 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Let b = u + -2. Solve b*p + 2*p = 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - t + 6. Let v(w) = -2*w**2 + 2*w - 6. Let n(b) = -5*p(b) - 6*v(b). Calculate the least common multiple of 10 and n(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 6611*d**3\/3 + 1944*d**2 + 5030. What is the second derivative of n(g) wrt g?\nAnswer: 13222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eoyeyeyyoyoooyoye?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 283. Let t = c - -235. Solve 2*q - 7*q + t = -4*g, 2*g + q = -7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 2090?\nAnswer: -10450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90200 - -90146.7405. Let i = m - -0.0595. Let d = -53 - i. What is the third biggest value in d, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 643, 570, 795, 1312, 2115, 3198?\nAnswer: 4555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843285.\nAnswer: 3, 5, 17, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1360.2*8770\nAnswer: -11928954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 11*w**2 - w + 20. Let f be m(11). Solve -f = -z - 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 2*y**3 + 324 + 260.\nAnswer: 2*y**3 + 584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*a**6 - 21226774*a**5 + 62*a**2 - 109218*a + 8 wrt a.\nAnswer: -1080*a**3 - 1273606440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16721*q - 16568*q + 765 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-3 - 1) - 2. Suppose -w*g = 7541 - 57541. What is g rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 5\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.4, 1, -15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1161459 divided by 1161459.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203 + -202. Solve -4*d + 3 = -4*c - v, 14 = -4*d - 2*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -20. Let q(f) = -2*f**3 + f**2 + 2*f + 1. Let x be q(-1). Find the third derivative of 4*s**4 - 3*s**2 - 2*s**x + t*s**2 wrt s.\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 432*w**3*z**2 - 11*w**2*z**3 - 154*w*z**3 - 2*w*z - 7*z**3 wrt w.\nAnswer: 2592*w*z**2 - 22*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Solve -m*l - l = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 + 435*q**3\/2 + 23544*q**2 - 23762*q.\nAnswer: q*(q - 1)*(q + 218)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*m - 13*m + 22*m)*(1 + 0 + m - 2*m)*(-113 + 54 + 136)*(-7 + 3 + 2) as d*m**2 + o*m + t and give d.\nAnswer: 4928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 + 139.99999703. What is j rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 0.4, 4\/5, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 18868\nAnswer: -14\/4717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37\/5 + 8\/(-20). Suppose -125*n - 30 = -130*n. Let l be (-2)\/((n\/7)\/(-3)). What is the greatest common factor of i and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - t - 52 = -55, 5*r = -3*t - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44024 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2. Let x(c) = 3164*c**2. Calculate x(a(d)).\nAnswer: 113904*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2003415?\nAnswer: 3, 5, 23, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + -b6?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19094533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317223?\nAnswer: 3, 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20741113 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z - 50 + 136 = 0. Let r(h) = -h - 5. What is r(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkmhkmmkhhmkkhhhkk. Give prob of sequence hh.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -s + 10, -93*t - 15 = -4*s - 94*t. Let z(o) = -81*o - 3. Let h(u) = -54*u - 2. Determine s*z(k) - 8*h(k).\nAnswer: 27*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -33 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12959 times 0.08\nAnswer: -1036.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aioioyhiioyi. What is prob of sequence iha?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 2965601*v**2 - 2 + 0*v + 5*v - 2054404*v**2. Let i be k(1). Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273 - 271. Find the second derivative of -8*m**2 + 1 - 263*m + 287*m - 86*m**f + 0 wrt m.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 4. Suppose 0 = s + 4 + 6. Let o be (-24)\/(-14) - s\/35. Suppose -q = u - o, 0*u - u - 10 = -3*q. Calculate m(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (9 + -15 + 7 - (-2 - -2)) + -11\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 7:59 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49766015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1288 and 1440?\nAnswer: 231840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:06 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -3\/7, 5\/2, -0.22, 1046 in increasing order.\nAnswer: -5, -4, -3\/7, -0.22, 5\/2, 1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18998018 to the nearest integer?\nAnswer: 4359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 a when three letters picked without replacement from aucca.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d. Let p be j(-2). Suppose 4*c - 21 = -3*i + 23, 0 = -i - p*c + 14. Suppose 68 = 4*n - 2*t, 0 = -3*t - t - i. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 6*m**2 - 11*m - 19. Let b be o(-7). Solve -14*k - 5*s - 50 = -b*k, 2*s = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11301 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -2380?\nAnswer: -2377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11695, 23285, 34767, 46141, 57407, 68565, 79615?\nAnswer: 90557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001000101102 - 111?\nAnswer: -1001000101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let y(p) = p + 2 + 145*p**2 - 144*p**2 - 3*p. Give 6*i(g) + 3*y(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1 - 26))*(34\/15 + (-1704)\/2840).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.1408 rounded to one decimal place?\nAnswer: 102.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 1776391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1019, -2017, -2989, -3923, -4807, -5629, -6377?\n\"Answer: 2*y**3 + y**2 - 1015*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021020102 + 1?\nAnswer: -1021020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08069954 take away -0.237?\nAnswer: 0.31769954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-60)\/(-24))\/(0 + (-2)\/(-4)). Let h = -1 - -3. Solve -w*s - 2*x - 17 = 0, h*x + 0*x - 13 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**5 - 12*g**4 + 108*g**3 + 380*g**2 - 312*g - 1440 = 0.\nAnswer: -4, -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**3\/6 - 7*l. Let u be v(2). Let d(q) = 0*q**2 - 2*q - 3*q + 6*q**u + 2 - q - q**3. Determine d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 9*o + 16. Let u = 3 - -1. Calculate the smallest common multiple of u and i(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -4*d + 16, -4*m + 3*d = -2*d + 41 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -99 - -97 - (-14)\/8. Let a = -1.99 + -0.01. Let j = a - -1.5. Sort j, c, -4.\nAnswer: -4, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.45937ml to litres.\nAnswer: 0.09045937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 4*o**2 + 6*o + 4. Suppose 9*t + 7*t = 2944. Suppose -16*g - t + 1464 = 0. Let w = g - 85. Determine c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -1242, -4225, -10034, -19611, -33898?\nAnswer: -53837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9052 - -36211\/4. What is the nearest to 0.5 in l, 0.14, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5\/u*u**(-2)*u*u*(u\/((u**(-1)\/u*u)\/u))**(-40) assuming u is positive.\nAnswer: u**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyeseyy. Give prob of sequence es.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108054 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -364.0000945 + 364. What is h rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3491038?\nAnswer: 2, 1745519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t - 15*t**3 - 8*t + 0*t**2 - 10 + 16*t**3 + 4*t**2. Let w be x(-5). Solve -3*h = -w - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, u: 3}. What is prob of sequence uub?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t*t**(-2\/7)*t*t*t)\/t**0*t**8\/t*t**(1\/3))\/(((t**(-3)\/t)\/t)\/(t*(t*t\/((t*t\/(t*t**11))\/t)*t)\/t))**(-6\/5) assuming t is positive.\nAnswer: t**(-919\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1171\nAnswer: 234.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -121092.395 to the nearest one thousand.\nAnswer: -121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/362 - -80\/543. What is the nearest to 0.02 in s, 5, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5*v + 45 = 0, 51*l + 3*v + 12 = 49*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42122638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -5. Which is smaller: w or 12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -196 (b) 4 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let i(z) = 8567*z + 2. Calculate i(t(y)).\nAnswer: -8567*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 12. Let h be 10\/(-6) + (-4)\/(-6). Is h at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.8, 5, -4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200) - ((sqrt(1200) + (1*sqrt(1200) - sqrt(1200)) - sqrt(1200)) + sqrt(1200)))\/(sqrt(12)\/sqrt(27)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**7\/840 + u**5\/120 + u**3\/3 + 3. Let g(d) be the third derivative of t(d). Find the second derivative of g(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 1 = 9, 8*g - 9*g - 8*i = -41 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 50 (b) 1\/2 (c) 0.032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 - 10*m**2 - 2490*m + 2457*m to q*m**2 + v + h*m and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 8:24 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 + 3*t**2 + t**2 - 2*t**3 + 2*t to f*t**3 + o + g*t + j*t**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 107 - -17165?\nAnswer: 17271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**3 - 3*w + 4. Suppose 6*g - g - 5 = 0. Let v(x) = x**3 + x - 1. Let s(j) = g*p(j) + 4*v(j). Find the second derivative of s(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -305\/4*s**4 + 140*s**3 + 14*s**5 + 0*s - 5\/6*s**6 + 43 - 90*s**2. Factor v(c).\nAnswer: -5*c*(c - 6)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by (((-132)\/(-8))\/11)\/((-12)\/(-56))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 2:11 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 8. Let t = 1 + -0.7. What is the closest to 1 in t, z, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5730 = -4*h, 5*h - 2*t - 7146 = -3*t. What is the highest common divisor of 24 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1314 = -4*n. Let j = n + -103. What is the third derivative of -16*g**5 + 6*g**3 - 6*g**3 - j*g**2 wrt g?\nAnswer: -960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41137*w + 43430.\nAnswer: 41137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 379933 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 58?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -35. Suppose 25 = -5*t, 4*h - v = -h + 3*t. Let f(z) be the second derivative of z**5\/10 - z**4\/12 + z**3\/6 + 3*z. Determine f(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*b - 10, 0 = -2*a + 5*b - b - 12. Let v = a + 2. Suppose -p + v = 4*z + 5, 5*p = -3*z - 22. Calculate the remainder when 1 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.93 + -317.17. Let o = 963 - 666. Let t = p + o. What is t rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2228887.144 + 3.1\nAnswer: 2228890.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 61872924\nAnswer: -61872919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3844 + 16259122605.\nAnswer: 16259122605.3844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2492 + 0.2492. Which is the closest to f? (a) 2 (b) -29 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/200 and -53\/44.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7741?\nAnswer: 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 5 = -22. Suppose 3*a + v*r = r + 1014, -2*a - r = -676. Suppose 6*l = a + 9820. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 32, 13, -0.1, -38, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 8:56 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-175)\/(-475))\/(((-506)\/11)\/(-9614))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1794041ml in litres?\nAnswer: 0.0001794041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2674*o - 91168 - 84760 = -15488 for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32\/(-12))\/((-4)\/6). Let w = 5 - 2. Solve -w = g*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.742 + -0.742. What is the closest to j in 2\/7, -1\/2, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(6*o - 2*o - 10*o) + o + 2*o - 2*o - 2*o - 2 + 2 - 2*o - o + 4*o + (3 - 3 + 1)*(-o + 4*o - o) + 9 + 9*o - 9.\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*k - 5778*c - 2*k**3 + 16*k wrt k?\nAnswer: 2*c - 6*k**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**(-5\/3)*(i*i**(1\/4))**29*i**(2\/3)*i\/(i*i**5)*(i*i*i**1)**(-30) assuming i is positive.\nAnswer: i**(-689\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9485.755mg?\nAnswer: 9485755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158 and 671974.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-4)*(-324)\/(-5). Suppose 157*r - u*r + 10 = 0. Solve 0 = r*v + c + 4, -3*v + 4 = 4*c - 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6702*a**3 + a**2 + 2816*a - 3?\nAnswer: -40212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/3 + 37*n**4 + 4106*n**3\/3 + 50542*n**2\/3 - 1369*n - 50653\/3 = 0 for n.\nAnswer: -37, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 189. Calculate m(0).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/70 and 34332\/(-3801) - 36\/(-4).\nAnswer: 12670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3022 + -6227\/2. Let y = k + 92. Let q = -3309\/11 + 301. What is the biggest value in 1\/3, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(((-130)\/(-2860))\/(-1 - -2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103042443 (base 6) in base 15?\nAnswer: 260cb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + 0*s**2 + 23*s**2 + 14*s**2 + 2*s to x + k*s**2 + n*s and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3310, 3765, 4222, 4681, 5142?\n\"Answer: t**2 + 452*t + 2857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**2 - 9*q**2 - 10*q**2 + (q + 2*q - q)*(-q - 4*q + 4*q).\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-3)*96\/64)\/(1 - 5). Let c = 449\/3705 - -3\/247. What is the smallest value in c, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 a, and 1 k when four letters picked without replacement from avkdkadvakavvk.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-630*u**2 + 879*u**2 + 190*u**2)*(2*u + 4 - 4) to k*u + d*u**3 + c*u**2 + z and give d.\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6 - 9 = 0. Suppose 6 = -d*a + 3. Let r be -4 + (2 + a - -6). Solve 2*z + 15 = r*v - 3*z, -5*v = 5*z + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 - 55 = 0. Calculate the remainder when 56 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90655.424 and -0.03.\nAnswer: -2719.66272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, -0.9, -202297, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.02 * 0.59.\nAnswer: 5.3218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 214280.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Let c be k\/2 - (2 - 2). Suppose -c*f + 5*n + 51 = 0, 0*f = f + 2*n - 21. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 3 - (4 + -2). Suppose 0*n - 5*n + 25 = x. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3765 - 3763.9. Sort -1\/2, -0.06, -2\/17, j, 0.4 in increasing order.\nAnswer: -1\/2, -2\/17, -0.06, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 182 + 278 + 2135*l - 1849 + 806*l wrt l?\nAnswer: 2941","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0*y = -4*l - 45, 5*y + l = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five sevenths of a week in hours?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1644, 5\/2.\nAnswer: -1644, 5\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240103 to the power of 1\/2, to the nearest integer?\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -26. Let k(m) = m + 16. Calculate the remainder when 35 is divided by k(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4455, -4570, -4777, -5076?\nAnswer: -5467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -55*m**3\/6 + 729*m. Let c(x) = -7*x**2. Determine c(b(i)).\nAnswer: -21175*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-6))\/(9\/8046).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001101100100 (base 2) to base 5\nAnswer: -124324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -12. Suppose 4 = -3*f - a. What is the second biggest value in -0.4, f, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/300 and 17\/10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 13124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -362 > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8\/23 + 71\/138. What is the nearest to -1 in v, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23 - -0.19. Which is the third biggest value? (a) -0.4 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994*j - 38976 = -1442*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.256 - 0.206. Let k be (2\/(-24))\/(4\/(-12)). Which is the nearest to 2? (a) -5 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -171, -255, -329, -387, -423, -431, -405?\n\"Answer: i**3 - i**2 - 88*i - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -95, -2, 5 in decreasing order.\nAnswer: 5, 0, -2, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -883 + 366. Let s = -497 - l. What is the remainder when s is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**0\/n*n*n*n)\/n)*n*n)**(5\/7)\/(n\/(n**(-8)*n)*n\/((n*n*n**(-2\/3))\/n))*(((n\/n**2)\/n)\/(n**(-9\/4)\/n))**40 assuming n is positive.\nAnswer: n**(883\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -4 + (sqrt(288)*-1 + sqrt(288))**2)*2.\nAnswer: -8 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*p - 2 + 64 = 0, 0 = 3*p - 12. Let h = f + 1. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3350214 + 2?\nAnswer: 3350220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 24. Let n = -11 - u. Let j = -1 - -4. Which is the second biggest value? (a) 0.2 (b) n (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k + 1. Suppose 0 = -5*a + 5 - 15. Let u be f(a). Let j be 1\/((-2)\/2) + 4. Solve -6 = -2*c + u*z, -4*z = 2*c - j*c + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6310586ml?\nAnswer: 0.0006310586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/120 - b**5\/12 + b**4\/4 - b**3 + 2*b**2. Let a be v(4). Suppose 2*g + a = 18. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -956687, -956788, -956893, -957002, -957115, -957232?\n\"Answer: -2*w**2 - 95*w - 956590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -19\/56584?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 561?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - 3.97. Suppose 4*f - 3*v = 6, 3*v - 3 = 3*f - 9. Let z be 16\/(-6) + f + 2. What is the smallest value in z, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 35\/100) + (-6)\/(-8)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 13*o - 137. Let m be l(-14). Let v = m + -160. What is the remainder when v is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 - 2*l - 7. Let y be o(-6). Suppose 0 = -5*j + 22 - 7. Let c(g) = -4*g - 3. Let q(v) = 7*v + 5. Calculate j*q(t) + y*c(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3441, -3446, -3477, -3552, -3689, -3906, -4221, -4652?\n\"Answer: -3*k**3 + 5*k**2 + k - 3444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 - 834*a**3 - 157914*a**2 + 987785500*a wrt a.\nAnswer: -20*a**3 - 5004*a - 315828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 3*c**2 - c + 3. Let b be l(3). Let h be (-8)\/75*(0 - -4 - (-7072)\/(-1088)). Are h and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*j - 28, 2*j + 22 = 2*q - 2*j. Is q greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14065*m = -512449 + 89978 - 294844 for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9460, 18920, 28378, 37834, 47288, 56740, 66190?\nAnswer: 75638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -251*x + 27. What is the remainder when j(-2) is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -3375, -11312, -26757, -52212, -90179, -143160, -213657?\nAnswer: -304172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:45 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -267.9999738 + 268. What is g rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646009?\nAnswer: 109, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269\/45 + -254\/45. Which is the second smallest value? (a) 2\/5 (b) v (c) -0.4 (d) -202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7728 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -40\/3 + 94\/3*d**2 + 52\/3*d**3 - 106\/3*d = 0. Calculate d.\nAnswer: -5\/2, -4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 4.48?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 5:58 PM?\nAnswer: 713","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 + 2*d + 0*d + 0*d - 13 - d**3 to w*d + z*d**2 + y*d**3 + p and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5355775*s**2 + 1013506*s - 1.\nAnswer: -10711550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -16*a - 464. What is y(-30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*q = 18, -137*n + q = -141*n + 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmh when three letters picked without replacement from {h: 11, m: 9}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 42. Let c = 2 + n. Let f = -6 - c. Which is greater: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*r - 3. Suppose 3*x = 12, -2*g - x + 1989 = r*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -995. Let x = -3783\/4 - q. What is the common denominator of x and -19\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 divided by -1?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = 8*n - 701. What is the remainder when 223 is divided by n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8901*u**3 + 13 + 7 - 8904*u**3 + 25*u**2 in the form h*u + b*u**2 + n*u**3 + q and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l - 30. What is r(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 41 (b) -1 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -0.06 (c) -0.11 (d) -2.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1988 - 0.1771.\nAnswer: -1988.1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 - 19*k**2 + 45*k + 63 = 0.\nAnswer: -21, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - ((11 - 7) + -6). Suppose -p = -r*p + 192. Calculate the remainder when 63 - (1 - 2\/2) is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007291 rounded to 6 decimal places?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 0*y - y - 1282 - 154*y + 1282 + (-3 + 2 - 1)*(-5*y + 2*y + 2*y).\nAnswer: -154*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 734 divide 6435712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000033917 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 + -5 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - 4*sqrt(99)*-1) + sqrt(99))*-1)\/(-2*sqrt(900)*2).\nAnswer: 3*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.81348 and 2.\nAnswer: 20.81348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 27*n**2 - 37*n + 30. Is 85 a factor of o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by (-15)\/(7\/(-105)*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5848207 is divided by 542?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -3\/5, 0, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 601729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40477, 80952, 121427, 161902, 202377, 242852?\nAnswer: 283327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -141, -320, -571, -894?\n\"Answer: -36*s**2 + s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1074095 + ((-6)\/2)\/(-3). Let l = 514094 + b. Round l to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 7132*d**2 - 21424*d - 14288.\nAnswer: 4*(d - 1786)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/637 and 94\/273.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -32 + 53. What is the biggest value in -0.18, o, 2\/5, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11828*0.1\nAnswer: -1182.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227161, -227980, -228799, -229618?\nAnswer: -230437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + r - 1. Let t = 0 - -3. Suppose -t*p - 2*p = 5. Let b(z) = -8*z**2 + 7*z - 8. Calculate p*b(f) + 6*l(f).\nAnswer: 2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -4*z, -4*z + 4 = -3*y - 1. Solve -z = -o - o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -219, -315, -401, -477, -543, -599?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48910 and 23986?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*w + c**3 + 165*c**2*w + 1045*c**2 - 3*w - 1 wrt w.\nAnswer: c**3 + 165*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 21337 + 21126 = -v, 0 = 2*m + v - 82 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 - 9*g**3 + 17*g**3 - 2*g**3 + 20*g**3.\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368 = -2019*n + 2042*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*w + 0*w = 12, 5*t + 22 = -4*w. What is the tens digit of (-484)\/(-16) - t\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 58 = -66. What is the remainder when 30 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 171440 or 2?\nAnswer: 171440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 47616?\nAnswer: 47616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5375*c**2*w**4 + 11539*c**2*w**2 - 3*c**2*w - c**2 + 5780*c*w - 122*c - 2 wrt w.\nAnswer: 64500*c**2*w**2 + 23078*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3236096 * 10.\nAnswer: 3.236096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzs when three letters picked without replacement from {h: 1, s: 3, t: 5, z: 7}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 18*v**2 - 3*v - 5. What is the tens digit of d(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, m: 1, l: 3, w: 3, v: 5}. Give prob of sequence wll.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*s**3 - 11*s**3 + 175*s**3.\nAnswer: 275*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 13*x + 1588 = 6*z, -5*z + 4*x - 1985 = 0. Sort -1\/6, 2\/15, z, -5.\nAnswer: z, -5, -1\/6, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.9 (b) -1\/6 (c) 0.5 (d) 56 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 15 = -5*b, -3*b = b - s + 25. Let u(g) = g**2 + 5*g + 5. Let m be u(b). Suppose -40 = 3*q - 4*q. What is the highest common factor of m and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1420 + 1142 - 757 + 190*j + 5*j**2.\nAnswer: 5*(j + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**19)**11 assuming h is positive.\nAnswer: h**209","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -22, -5, 21 in decreasing order.\nAnswer: 21, -5, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23540055 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -974 - -266. Let x = 710.25 + b. What is x rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oouwx. Give prob of picking 1 x, 1 u, and 2 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*m - m + 1 + 2*m**2 + 3*m - 21 + 3*m**3 in the form i + v*m + c*m**2 + g*m**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-63)*16926\/(-930).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*g + 482*g - 1945*g + 489*g + 486*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 59*f + 329. What is d(-29)?\nAnswer: 1199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 167, 391, 643, 923?\n\"Answer: 14*c**2 + 182*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -125, -301, -563, -917?\nAnswer: -1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(2*y + 2*y**2 - 2*y) - 3*y**2 - 3*y**2 + 4*y**2 + (-3 - 3*y + 3)*(3*y - 4*y - y) + y**2 - 2*y**2 - 4 + 2*y**2.\nAnswer: 3*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395549 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -192410 (b) 0.1 (c) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(448) + sqrt(448) + ((sqrt(448) - 1*sqrt(448)) + sqrt(448) + 2 - sqrt(448))**2 + -1 + -2.\nAnswer: -3 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -29*k - 2. Let s be l(-5). Let d be (-72)\/(-5) - (-6)\/(-15). Let c = 27 - d. What is the highest common factor of s and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by (-2061)\/(-42) + 2 + 26\/(-364).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w**2 - 370*w - 319. Determine k(27).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - 15*n. Let g(k) = k. Let j(m) = -15*g(m) - r(m). Let i(f) = 89 - 89 - f. Calculate i(j(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -530 + 1190. Let j = b + -657. Factor 1\/2 + 3\/2*g**2 - 1\/2*g**j - 3\/2*g.\nAnswer: -(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 917254 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-2\/31)))**(-2\/15) assuming h is positive.\nAnswer: h**(4\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(605) + sqrt(605) + (sqrt(605)*4 - sqrt(605) - sqrt(605))**2)*-3).\nAnswer: -7262 - 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 5:11 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 10 + 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k + 272 - 304. Sort k, -53, 2.\nAnswer: -53, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-128))\/(39\/624)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7c0 (base 14) to base 9.\nAnswer: 43670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b1bb - 5?\nAnswer: b1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 16*s**3 + 50*s**2 - 10*s + 10. Give d(-5).\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6179, -6812, -7433, -8036, -8615, -9164, -9677, -10148?\n\"Answer: d**3 - 640*d - 5540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 4\/21*z**3 + 4\/21*z**4 - 22*z**2 + 1\/84*z**6 + 0 - 19\/210*z**5 + 0*z. Factor v(n).\nAnswer: 2*(n - 2)**2*(5*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 9*r**2 - 9*r + 9. Let c be m(-8). Suppose 3 = -5*n - 3*x + c, -n - 2*x = 0. What is the second derivative of y + 0*y + 2 + n*y**3 - 2 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2 - 2*f - 3. Let p be y(3). Does 9 divide ((-54)\/5)\/((-18)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14932 and 0.054.\nAnswer: 806.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 99. Let v be (806\/(-15) - 2)*3\/(-2). Let f = -83 + v. Is f greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*q - 200669 = -25079. List the prime factors of q.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*w + 22*w + w)*(4 - 1 - 6)*(3 + 2 + 0).\nAnswer: 285*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -245.516 * -0.0191\nAnswer: 4.6893556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h + 14. Suppose -5*u = 25, z - u - 35 = -4*z. Let g be 92\/z - (-2)\/(-6). Let k be 3\/g + 42\/(-10). Let b(w) = w + 5. Determine k*c(a) + 11*b(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(-8 + 2 + 2)*(-4*n**3 + n**3 + n**3)*(-n**2 + 5*n**2 - n**2).\nAnswer: 72*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -800931, -800932, -800933, -800934, -800935, -800936?\n\"Answer: -v - 800930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.9027 times 5\nAnswer: -4.5135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2879039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -4)*4\/(-6). Suppose -l = q, -5*l - 57 = -2*f + f. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 17*b + 7. Let c(f) = -f**3 + 16*f**2 - 12*f - 45. Let m be c(15). Suppose 2*l + 11*z = 8*z + 28, m = 2*l - z - 36. Calculate o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24646326.000066 - 24646299. Let z = 27.01 - 0.01. Let x = l - z. What is x rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 70*u - 51*u - 2 - 20*u. Let n(y) = 2*y**2 + y - 2. Let a(m) = 2*n(m) - 3*q(m). Determine a(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78648 and 4520?\nAnswer: 393240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -220, -9, 3 in descending order.\nAnswer: 3, -9, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(56)\/sqrt(2) + 4 + -3 - (-1 + (sqrt(252) + sqrt(252) + (sqrt(252) + -1 - sqrt(252)))*-6)))**2.\nAnswer: -37296*sqrt(7) + 1381716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 3*k + 13, -419*k - 3*o = -421*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(128) - (sqrt(128) - (sqrt(128) - sqrt(128)*-4))*-3))**2 + -3*(sqrt(2) + -2) + (sqrt(162)*-4)**2.\nAnswer: -883*sqrt(2) + 18111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*l + 24, -3*l - l + 29 = 5*f. What is the smallest common multiple of f and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642 is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by (1 + -2)*(-1 + -10 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 333.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 66 + 63 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6193 = 270*i + 5653. Let w(m) be the third derivative of -m**6\/60 + m**5\/30 + m**3\/6 - m**2. Calculate w(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -21. Suppose -2 = -4*o + 3*o. What are the prime factors of ((-2 - -1)*o)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-5 - (0 - 8))*-2 - (-41952)\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 363*o + 215*o - 1 + 216*o to the form y + p*o and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (219\/(-75) - -3) + (4266\/(-4977))\/(25\/1169)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 - 303. Let o = -129.000101 - w. What is o rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50241465*f - 69856959.\nAnswer: -50241465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16326970937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -850 = 2*m - 1821 - 2805. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 17*l**2 - 73*l + 23. Let a be u(10). Let k be 1 + a - (-15 + 0). Solve 4*p + 8 = 0, 3*g - 3*p + k = -0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 0) + -4 + -2. Let m be ((-24)\/(-7))\/((-20)\/(-70)). Let u = -9 + m. Sort u, 1, w.\nAnswer: w, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147998913 and 1486.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r - 140 = -50*r - 41*r. What is the fourth biggest value in 2\/5, 5, r, 0, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = -5*q + 24, 5*h = 20. Suppose -q*t - 148 = -144. Let u(m) = -11*m**3 + 2*m**2 - 3*m - 3. What is the least common multiple of u(t) and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -31*c - 13. Let k(s) = 3*s + 2. Let d(v) = 42*v + 24. Let g(u) = -d(u) + 9*k(u). Let w(h) = -13*g(h) + 6*j(h). Let l(i) = 6*i. Determine w(l(o)).\nAnswer: 54*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2 + 8 - 44*s**5 + (-4*s**2 + 4*s**2 - 2*s**4)*(2*s - 5 + 5).\nAnswer: -48*s**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -116879 at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 - 119.1. Let m = 26 - k. Suppose l - 6 = 2*h + 1, -22 = -5*l - 3*h. What is the closest to -2\/3 in l, m, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 10 = -5*n, 0*k - 19 = -2*n + 5*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcec when four letters picked without replacement from efceffgfcicxcifcc?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 12. Let b be 76\/16 - 2\/c. What is the second derivative of 5*z - 15*z**4 + 15*z**4 - 4*z**b + 3*z**5 wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/5)\/(40\/100). Let y = 0.434 + -0.034. What is the third biggest value in y, p, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*z - 427, 4*v + 335 = 5*z - 0*z. Is v at most as big as -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 6. Let i(r) = 5*r - 3. Let u be i(1). Let x = 71 - 71. Which is the second biggest value? (a) q (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + 1 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 152838.\nAnswer: -6, -2, 152838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/75 and 125\/3468.\nAnswer: 86700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 + -0.24. Which is the nearest to -1? (a) z (b) 1\/2 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14224 is divided by 3219.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -249. Suppose -1236 = 27*n - 23*n. Let j = o - n. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 2*c**2 - c - 6. Let j(p) = -3*p + 1. Determine 4*g(m) + 5*j(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -408\/59 + 423794\/61301. Let u = g - -24946\/5195. Let w = -26\/5 + u. Which is the fourth biggest value? (a) -7 (b) w (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 316 = 3*s. Let q be -5 + s\/7 - 2\/7. Let w be (3\/q)\/((-2)\/(-8)). Solve c - 3 = -w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4231*z**4 - z**3 + 12455*z**2?\nAnswer: -101544*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 352835982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**8\/840 - 4*l**7\/525 - l**6\/100 + 3*l**5\/25 - 6*l**2. Factor u(k).\nAnswer: 2*k**2*(k - 3)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64715.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**2\/2 + 21*j - 90. Let p be n(18). Solve -u = -4*x + 18, 3*x - p = 5*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-30))\/(6\/18).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = -42. Let o(h) = -2*h**3 - 22*h**2 + 113*h - 26. What is the remainder when o(-15) is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - b + 2)*(2*b - 2*b + b) + (1 + 1 + 2)*(-9 + 9 - 4*b**2).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.912461 decades in months?\nAnswer: 469.49532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -30?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 8. Find the common denominator of -101\/6 and v + 4 - 95\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 4*c + 5. Let m be q(-3). Let z = 27 - m. What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*p = s + 76, 0 = 5*s - 4*p - 172. Suppose -4*w + s = -72. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4301673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**14*l\/(l*l**(11\/5)))\/((l\/(l\/(l**(27\/5)\/l)))\/(l**(-1)\/l*l*l)) assuming l is positive.\nAnswer: l**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -4747795 and 0.8324.\nAnswer: -4747794.1676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v**2 + 12*v**2 + 16*v**2 + 10*v**2 to c*v + w + r*v**2 and give r.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1121, 371, -4\/3, -1?\nAnswer: 371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 j, and 1 v when four letters picked without replacement from mnvjncvdj?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.445702 millilitres to litres.\nAnswer: 0.009445702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12741 and 7347?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(-2\/13)))**(-5\/4))**(2\/3)\/((((a*a**0)\/a)\/a)\/(a\/(a*a*(a\/(a\/(a**(-9)\/a*a)))\/a)*a)*a**1\/a**(4\/7)) assuming a is positive.\nAnswer: a**(2921\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*u - 17*u - 2 + 14*u - 11897*u**3 + 11917*u**3 as s*u**2 + j*u**3 + w*u + z and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/4998 and -13\/1020.\nAnswer: 49980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 995 and 69.\nAnswer: 68655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2) + 0 + (sqrt(2)*-1*5)**2.\nAnswer: 2*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -31*k**7\/210 + k**4\/12 - 33*k**2\/2 + 5. Let x(f) be the second derivative of z(f). Find the second derivative of x(t) wrt t.\nAnswer: -372*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-72)*4)\/(24\/(-45)). Let o be ((-2)\/48)\/(1\/(-2)). Let v = i - o. Is v at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 124*c + 24. What is the units digit of j(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/6)\/(1*8\/36). Let b = 3 - -2. Let k = j + b. Calculate the smallest common multiple of k and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450 divided by -5?\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m + 15. Let a(f) = -6*f + 19. Calculate 3*a(o) - 4*c(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(-2*k**2 - 6*k + k - k**2 + (2 + 4 - 5)*(4*k**2 - 4*k**2 + 2*k**2) + 1 + k**2 - 1 + 0 + 0 + 2*k**2).\nAnswer: -6*k**2 + 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 19. Let o be i\/55 + 1082\/22. What is the highest common divisor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16 and 0.7237.\nAnswer: 16.7237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwkd when four letters picked without replacement from {y: 2, k: 3, d: 4, w: 9}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2253867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570 times 128?\nAnswer: 456960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/(-3)*972\/(-216). Solve -c + 81 = -7*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10914867 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 4*c - 16, 3*p - 2*c + 24 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 92*h**2 - 550*h - 10. Determine f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*2\/(-68)*624\/(-780)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1\/c)**(-1\/25))**(-25) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.67271 and 0.443?\nAnswer: 1.18401053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2350 - -12322?\nAnswer: 15112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1755038.2 to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5415, 53430, 186643, 447654, 879063?\nAnswer: 1523470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -645 (base 7) to base 11.\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 19*j + 18*j + 11*j - 64*j + 8 + 9*j. Determine g(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 6 = -12. Which is the third smallest value? (a) n (b) -82 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 172 = 52 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 29. Let h(b) = -b**3 + 3*b + 2. Let o be h(p). Suppose o = -5*v + 323 + 52. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 7*w**2 - 7*w. Let s(h) = -2*h**3 + 5*h**2 - 5*h. Determine -7*s(n) + 5*t(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 4. Let y(g) = g**3 - 6*g**2 - 6*g - 6. Let b be y(m). Do b and 1\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 - 6 = 0. What is the first derivative of -y - 5 - 2*y + f wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31620079613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 2*m + 4*m + 5744*m**2 - 5743*m**2 - m. Let f(w) = -w**2 - 7*w. What is -6*f(c) - 5*x(c)?\nAnswer: c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqr when three letters picked without replacement from rrbrjzrqrrrzrqrzor.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9351956 and 1378.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmlilclclcmmli. Give prob of picking 1 i and 3 l.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2920 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63212000 rounded to the nearest one hundred thousand?\nAnswer: 63200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -17846195?\nAnswer: 17846193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-7 - -10))*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 338 = -410 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22889.\nAnswer: 47, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1080369858*3.\nAnswer: -3241109574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 t when three letters picked without replacement from kttgttktkktttt.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19508805?\nAnswer: 3, 5, 37, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-12)\/a*a**(-7\/5))\/((a\/a**16)\/a*(a**(-12)\/a)\/a))**1 assuming a is positive.\nAnswer: a**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42997021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 461\/2 - 230. Let x = 69\/4 - 18. Suppose 4*f = 2*a, 3*f - 3*a = -2*a - 2. What is the closest to l in 1, f, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from ggggxitgxggiitihgi?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -87177 from 1.228.\nAnswer: 87178.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -84 and -84 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119185 divided by 6.\nAnswer: -119185\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1047, 947, 847, 747, 647?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*u - 50 = u + 6, 7*u - 136 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 170846548 divided by -42711637.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + 0*z + 0*z)*(-140*z**3 - 13 + 10 + 72*z**3).\nAnswer: 204*z**4 + 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 36 = -172. Let d = n + 170. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, q: 4}. What is prob of picking 3 q and 1 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 11:20 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 7*s + 6. Let q = -10 + 14. Let o be (-20)\/(((-8)\/5)\/q). Let f = 44 - o. Let p(x) = -x - 1. What is f*p(r) - m(r)?\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**6\/60 - m**5\/30 - m**4\/6 - 3*m**2. Determine h so that y(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + -22147?\nAnswer: -22167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724839.\nAnswer: 3, 41, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -471*b - 2253*b**2 - 465*b + 936*b + 367*b**2. Let r(f) = 2*f. Give n(r(k)).\nAnswer: -7544*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 + 5*h + 21*h**2 - 9*h**2 - 5. Let r(j) = -20*j**2 - 14*j + 14. Suppose -5 = -3*a + 10. Determine a*r(i) + 14*b(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 879435 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Suppose -a = 2*i - 12. Solve 5*j = 3*f, i*f = 6*f + 5*j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -26, -8805, -2 in descending order.\nAnswer: 2, -2, -26, -8805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.25, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/11)\/(k\/(k**(1\/2)\/k)))**(5\/12))**(-4\/3) assuming k is positive.\nAnswer: k**(145\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 6*z**2 + 5. Let t be f(-6). Suppose t*p = -15 - 5. Let q(g) = -g**2 - 5*g - 3. What is the smallest common multiple of q(p) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 16. Let y be i(-10). Let d be ((-6)\/(-6))\/((-2)\/6). Calculate the remainder when (d + y)*46 + -3 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 21*f**2 - 5*f - 3. Let s be v(-2). Let n = s - 52. Calculate the remainder when 112 is divided by n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410 divided by -410.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*f - 9 = 4*y - 436*f - 35, f + 3 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 + 103. Let z(p) = p**2 + 8*p + 27. Let h be z(m). Let c(d) = -31*d - 31*d + h*d. Let i(j) = -j**2 - 24. Give i(c(a)).\nAnswer: -4*a**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -73*h**4\/24 + h**3\/3 - h**2\/2 - 4*h. Let j(t) be the first derivative of y(t). Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 17 - (-11 - -76)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstssst. Give prob of picking 3 s and 1 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) -25\/3 (c) -3\/2 (d) -180 (e) -9866\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -389 greater than -498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.42 + -1.42. Let z(d) = d - 2. Let q be z(2). Is r not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(378) - (sqrt(378) + -2*sqrt(378)))*-6)\/(6*sqrt(96)))**2.\nAnswer: -6*sqrt(7) + 79\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/5 - -8\/15. Let i = -1.5 + 1. Suppose 0 = 4*x - 5*x. What is the smallest value in x, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22086\/513 + -9 + -34.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-494)\/(-266)*(-1)\/(-13)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - -25 - -29 - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p**4 - 3021*p**3 - 159034*p**2?\nAnswer: -216*p - 18126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -0.146, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-54)*771\/1028?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 3*l - 5*l)*(11*l + 14*l**3 + l**2 - 11*l).\nAnswer: 28*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 2. Let f(d) = -2*d. Let u(i) = i**3 + 8*i**2 + 6*i - 8. Let o be u(-7). Let q be f(o). Let k = q - 5. Calculate z(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -729*l**4\/2 + 9875520*l**3 + 263520000*l**2 + 2342912000*l + 6942720000.\nAnswer: -(l - 27120)*(9*l + 80)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 5:48 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1365984 and -105\/11594?\nAnswer: 15025824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72.8 + -73. Let j(c) = -13*c - 2. Let m be j(-1). Suppose -5*q + 0*q = -2*y - 31, -2*y - m = -q. Sort 0.4, y, -0.5, x in decreasing order.\nAnswer: 0.4, x, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -142\/41207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15*36\/2970*(0 + 1)*-11. Solve a*v = -2*f, 0 = -5*v - 2*f + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1005*w**3 + 3*w**2 + 2208*w**3 - 3*w**2 + 1964*w**3.\nAnswer: 3167*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3 + 10*g**3 - 9*g**3 + 390*g**2 - 423*g**4 + 0*g**3 wrt g?\nAnswer: -10152*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/90 and 33\/334660?\nAnswer: 3011940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0168 - -278.9832. Let v = k - 279.0692. What is v rounded to 3 decimal places?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58818 + 136024577.\nAnswer: 136083395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 0 - 4\/3*l**3 + 1\/2*l**2 - 4*l. Differentiate t(z) with respect to z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 52*u + 7. Let o be t(2). Let s = o + -109. Which is the third biggest value? (a) -183 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Let a(s) = 2*s - 3. Let j be 7\/(-56) - (-113)\/8. Calculate j*r(u) - 6*a(u).\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 - 537*l + 544*l - 1 + 1 + 3*l**2.\nAnswer: -6*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*q - 42*q + 82*q + 31 + (-1 + 1 - q)*(-1 + 2 + 4).\nAnswer: -6*q + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493472.\nAnswer: 2, 7, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727847350.\nAnswer: 2, 3, 5, 6061883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2\/1325, 25, 22, -1\/2?\nAnswer: 2\/1325","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1101100000?\nAnswer: -1101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5733, -45649, -153997, -364995, -712861?\nAnswer: -1231813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/5 - 998*s**2\/5 + 89841*s\/5 + 678132\/5 = 0. Calculate s.\nAnswer: -7, 108, 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Suppose 0 = 4*o - d*o - 4. Suppose -3*v - 8 = o*m - 36, -4*v + 5*m = 4. Solve v*p = 2*c + 2*p - 8, c + 4*p = -16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(160)\/sqrt(4)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1506632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -16*h + 112. What is k(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2083.9 and 2859254.\nAnswer: 2857170.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 727000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, s: 4}. What is prob of picking 2 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {v: 5, l: 4, z: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, 83, 2\/353?\nAnswer: 2\/353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 4*y + 4. Let m(u) = u**3 - 4*u**2 - 5. Let v be m(4). What is the lowest common multiple of 9 and a(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7130357 rounded to two decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - (-10 - -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 28 (b) 2\/3 (c) -0.01 (d) -4 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -221, -636, -1359, -2396, -3753, -5436, -7451?\n\"Answer: -l**3 - 148*l**2 + 36*l - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -33a218?\nAnswer: -33a21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 18 - (-1 + -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/77 and 101\/37033260.\nAnswer: 259232820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 2*f. Suppose 0 = -5*j - 5*r + 115, 2*r + 4 = f*r. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 617*r**2 - 2*r - 1. Let t be f(-1). Suppose -k = 5*v - 772, 4*v - 2*k = -3*k + t. What are the prime factors of v?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (273\/364)\/(6\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -324 - -612. List the prime factors of 6\/21 + q\/21.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -839, -882, -927, -974, -1023, -1074?\n\"Answer: -h**2 - 40*h - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1057 - -3766. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4761.811 nanoseconds to milliseconds.\nAnswer: 0.004761811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 k when four letters picked without replacement from {k: 11, f: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 = -s - 5*h, -3 = -3*h. What is the tens digit of 29 - (-1 + (-2)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11948 divided by -88?\nAnswer: 2987\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*d = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:36 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-110)\/((-30)\/6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 10*h + 9. Let k(w) = -w**3 + 11*w**2 - 9*w - 12. Let y be k(10). Let r be ((-3)\/y)\/(3\/12). Is i(r) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-2\/3)\/c)\/c*c*c)**(-1\/63)\/(c**(-6)\/c**(-1)) assuming c is positive.\nAnswer: c**(944\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g + 3*o - 243, -5*g + 4*o + 360 = 0. Let d(i) = -i**2 + 10*i + 10. Let q be d(9). Calculate the greatest common divisor of g and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-22))**34 assuming r is positive.\nAnswer: r**(-714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*4 + sqrt(108) + -4 + ((sqrt(108) + 0)**2 - (sqrt(48)\/sqrt(2))\/sqrt(8))*-2.\nAnswer: -220 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20a1 (base 14) in base 3?\nAnswer: -21201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 3*s. Let t(x) = -x**2 + 2*x. Let o(p) = -3*t(p) - 2*y(p). Let f(n) = 14*n. Calculate f(o(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.9977 - 33. Round v to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*l, 8*l - 13 = -2*s + 7*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 41033 (base 5) to base 10\nAnswer: 2643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016) + sqrt(2016) + -4*sqrt(2016)*1)\/(sqrt(112)*2*-2).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240 - -247. Suppose l*f + 13*f - 80 = 0. What is the highest common divisor of 16 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22521, -22517, -22525, -22551, -22601, -22681?\nAnswer: -22797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/41)*d**(-2\/45)*(d**(14\/3)\/d)\/(d*d*d**12))**(33\/2) assuming d is positive.\nAnswer: d**(-95656\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252605?\nAnswer: 5, 19, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 544.1945 litres?\nAnswer: 544194.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - 2\/4. Let l = 0.14 - 0.14. What is the third smallest value in l, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 17046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3777 is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -740.258*-0.7\nAnswer: 518.1806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 3\/11 (b) -0.1 (c) 5\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-696)\/(-20) - (-4)\/(-5). Suppose t = -4*g - 4*l + 102, 0 = 5*g - 4*l - 94. Calculate the greatest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 8*x + 8. Let d be (-8 - (3 - 8)) + 0 + -5. Calculate l(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17250 and 24058.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 - 146*k + 142*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - l**3 - 5*l**3 + 2*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 74 + 2 = 0. Let i be (-3)\/(-9) - (-2 + (-3)\/t). Solve 0 = -i*v + v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 179074*m - 5 - 14251*m.\nAnswer: 164823*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478410 is divided by 423?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*v + 5 = 87*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 78 = 3*h, -g = 53*h - 51*h - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12205 and 3.\nAnswer: -0.36615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*q - 5*t, 3*t + 2 = -5*q + 16. Suppose 3*p + 0*m = -2*m + 14, -10 = 3*p - q*m. What is the units digit of ((-4)\/12)\/(p\/(-114))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + d + 0*d**2 - 4*d. Let p be h(2). Let w be (p\/28)\/((-2)\/(-8)). Sort 5, -3, w.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3))\/(17270\/(-628)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5939*k**2*w**2 - 2353*k*w**2 wrt k.\nAnswer: -11878*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a7 + 0?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 21 (b) -1\/7 (c) -6 (d) -0.272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -138. Suppose -7*b = -15*b + 192. Suppose -5*j = -j - b. Solve j*i - 5*n + d = 3*i, -4*i = 5*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a = -145*a + 905 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-122)\/3)\/(4\/(-6)) - 2?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13268 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-8))\/(7\/(-84)). Suppose -3*q = -n*k - 168, q + 29 - 91 = -k. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117164677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5467, -5606, -5985, -6724, -7943, -9762, -12301?\n\"Answer: -20*g**3 + g - 5448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 11*y - 8*y, -4*t - 3*y + 33234 = 0. What are the prime factors of t?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (11 + -6) - 0 - -13\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 1, g: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 19*y + 0 + 0*y**5 + 1\/4*y**4 + 2\/3*y**6 + 0*y**3 + 0*y**2. What is the third derivative of a(h) wrt h?\nAnswer: 480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122 - (-397 - (89 - 240))?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161 or -213?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/(-70))\/((-36)\/(-21) - 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 1:34 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3*5\/(-60))\/(-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 298 - -58. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + f**2 + 4*f + 5. Let v be l(-1). Solve -v*m + r = 10, 0*r - 5*r = 5*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 19738 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 prob of picking 1 z and 1 g when two letters picked without replacement from zggzgzgzkzg.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*s + 35. Suppose -s*d + 2*j + 26 = -29, -j = -5. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259c (base 14) to base 2.\nAnswer: 1100111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2942274 and 7846064?\nAnswer: 23538192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -13 (c) 0.5 (d) -0.09 (e) 47 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.2148 centuries in months?\nAnswer: 37457.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631242.\nAnswer: 2, 3, 35069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3167.57 and 8.\nAnswer: -25340.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/12)\/((-2)\/3). Let l = 21 + -16. Suppose 0 = l*n + 5. Put n, 3, i in descending order.\nAnswer: i, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57206156?\nAnswer: 2, 7, 17, 120181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1232*o**2*q**2*v**3 - 2*o**2*q**2*v + o*q**3 - 27*o*v**2 + 2*q**3*v**3 + 3*q**3*v**2 wrt v?\nAnswer: -7392*o**2*q**2 + 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o + 9604 = 1278. Calculate the remainder when 7420 is divided by o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**4\/5 - 2*i**3\/3 + i**2\/5 + 4*i\/5 + 410. Factor g(k).\nAnswer: 2*(k - 2)*(k - 1)*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/7, -26\/9, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -769*w + 1034 with respect to w.\nAnswer: -769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/(-960))\/(15\/225).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2441, 4901, 7343, 9761, 12149, 14501?\nAnswer: 16811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34a86 + 1?\nAnswer: -34a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 + 0.54. Let y = -0.474 + -0.886. Let n = y + k. Sort -4, -0.3, n, -0.4 in increasing order.\nAnswer: -4, n, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/22819?\nAnswer: 1\/22819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 33553058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/12 and 59\/6330?\nAnswer: 12660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -8, -x + 2*h + 11 = -8*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 14*w**2 + 5. Let g be j(14). What is the fourth smallest value in 4, g, 1, 2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + h - 7 + 4 = 0, 0 = -4*h + 8. List the prime factors of (-14)\/(-7) + (28 - q).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -18. Suppose 2*m - 25 = -3*m. Suppose -m*p = -87 - 118. Calculate the remainder when p is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**2 + 2066295*j + 7248485?\nAnswer: 2*j + 2066295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-2 + -15 + 9 + 22).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -674 or -7416\/11?\nAnswer: -7416\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -42*p + 6. Let q be w(-7). Let f be q\/(-18)*(-6)\/4. Let l = f + -11. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*3*1 + (sqrt(119) - ((sqrt(119) - ((sqrt(119) + 3*sqrt(119) - sqrt(119)) + sqrt(119))) + sqrt(119)))*-3)\/(3*-2*sqrt(56)\/(sqrt(16)\/sqrt(2))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 61*r**2 + 9 - 9. Let j(a) be the first derivative of a**3\/3 - 4345. Calculate j(u(l)).\nAnswer: 3721*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1821*p**2 + 976*p wrt p?\nAnswer: 3642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 5*a + 6. Determine g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5537*t - 5537. Give p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -826 greater than -829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4438714 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-6*i + 2*i - i)*(-2 - 1 - 1).\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.54192 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 2101020202?\nAnswer: -2101020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4\/4 + 69815*q**3\/4 + 488637*q**2\/2 + 1047033*q + 1256418 = 0?\nAnswer: -69801, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + 4*m**2 - 4*m - m + m.\nAnswer: 4*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23907?\nAnswer: 3, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 116. Let j = 76 - l. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3760 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -167560.762 rounded to the nearest ten?\nAnswer: -167560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 350863 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-3) + 4)\/(4\/6). Factor 15*h - 5*h + 0*h - 5*h - 5*h**t.\nAnswer: -5*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 3*n**2 - 7*n - 1 - 1\/3*n**3. What is d(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 146497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 - s**2 + s + 1. Let m be o(-1). What is the third derivative of 3*r**2 + 0*r**2 - 2*r**m - 4*r**2 + 0*r**3 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 29 = c + c, -2*v + 22 = 2*c. Let j(u) = u + 2. Is 3 a factor of j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 8*o - 30*o - 137. Let g = 16 + -7. Let p = o + g. Is -4 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*-1*sqrt(156) - sqrt(156)))\/(((2*sqrt(132)*2 - sqrt(132)) + sqrt(132))\/sqrt(11)).\nAnswer: 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 670 - 668. Let x be -2 + 2 + 4 + 2. Solve -r*s + 3*b = 1, -2*b + x*b = s + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 equal to 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 402491999 less than -393121?\nAnswer: -402885120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -3.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - (-40)\/((-8)\/1). Let z(b) be the third derivative of 2\/15*b**5 + 0 + 0*b + a*b**2 + 0*b**4 + 5\/6*b**3. What is the first derivative of z(x) wrt x?\nAnswer: 16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 643*l**3 - 422.\nAnswer: 1929*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*v - 3567 = 9889. Sort v, 3, 4, 2, -5.\nAnswer: v, -5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 163 = -138 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4432.863 millimeters to centimeters.\nAnswer: 443.2863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000798162 to seven decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1295851*p**2. Let a(k) = 2*k. Give y(a(j)).\nAnswer: -5183404*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 997.441639 to one dp.\nAnswer: 997.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*r + 17. What is the third derivative of k**6 + k**6 - 22*k**r + 10*k**2 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59, -124, -227, -362, -523, -704, -899?\n\"Answer: s**3 - 25*s**2 + 3*s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*a + 1875 + 2995 = -2852 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 2*x**4 - 24*x**3 - 44*x**2 - 28*x - 6.\nAnswer: 2*(x - 3)*(x + 1)**3*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = -0*l. Solve l*p - v + 1 + 6 = 0, 5*p + 17 = 3*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + c - 2, -5*w + 2 - 3 = 4*c. Let t be (w\/12)\/((-2)\/(-8)). Suppose s + 5*q + t = 0, -2*q = 2*s - 0*q - 6. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5533476 by 5533476.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 8*l**3 - 15 + 8 + 9 in the form h*l**2 + f*l + t + v*l**3 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31)\/(-3) - (-3)\/(-9). Let n be (4\/g)\/((-3)\/(-30)). Let i be 11 - (378\/6)\/9. Solve 5*o - n*o = i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -330*i**6 - 25*i**2 wrt i.\nAnswer: -39600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 157\/2*(-5 + 3). Let j = 325 + r. What is the highest common divisor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3707699 (base 11) to base 3.\nAnswer: -110010210202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + 1.96. Let l = 12 - 17. What is the nearest to 0 in -4, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 11971555\nAnswer: 11971540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - ((-1 - 1) + -1). Solve -u - 4 = 2*f + 1, f - 3*u = -y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 738 and 102?\nAnswer: 12546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s**2. Let x(m) be the third derivative of 223*m**5\/30 + m**3\/6 + 3*m**2 + 83. Determine n(x(o)).\nAnswer: 1790244*o**4 + 8028*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 1694, 3940, 7118?\nAnswer: 11228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332234, -332206, -332166, -332114, -332050, -331974?\nAnswer: -331886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) 2\/4445 (c) -8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24400*l + 24322*l - 7 = 71 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*q = -11, -4*q - 8 - 6 = -2*v. Let h be -1*(5 - v - 8). Find l, given that 19*l + 3*l**2 - 4 + 2*l - 24 + h = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1878*o - 1862*o - 1907*o - 1917*o + 7495*o.\nAnswer: -69*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3188 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 - -30?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8917355*o**2 + 19*o - 8917397*o**2 + 17834751*o**2.\nAnswer: -o**2 + 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2 + 4*m)*(1 + 0 - 3).\nAnswer: -8*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101626469?\nAnswer: 7, 29, 79, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = 0. Let a(n) = 3*n + k*n - 3*n - 1 + 2*n. Let x(u) = -13*u + 3. Let d(j) = 4*j - 1. Let l(o) = 21*d(o) + 6*x(o). Calculate 11*a(b) - 4*l(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 6*u**2 + 3*u - 3*u**2 to the form k*u**2 + t*u + r and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 4*a**2 + 7*a - 6. What is the remainder when (-652)\/(-60) - (-2)\/15 is divided by c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**5 - 1420*c**4 - 505518*c**3 - 1006780*c**2 - 502681*c = 0.\nAnswer: -709, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - l + 5*l = 1316, 3*l = -2*t + 525. What is the common denominator of 11\/21 and 893\/t - (-33)\/(-363)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1316 - 1315. Which is the second smallest value? (a) 29\/5 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o = -2*m + 42*o + 2626, -5*m - 3*o = -6555. What is the least common multiple of 4 and m?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(2*t - 2*t - 2*t)*(-1285 + 2826 + 1310) in the form l + j*t and give j.\nAnswer: 5702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -395*j + 3126. Determine f(12).\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -0.4 (c) 1 (d) -0.02 (e) 0.01 (f) 6405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 61\/14)*(-189)\/(-486) + -2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 5, z: 3}. Give prob of picking 1 u, 1 t, and 1 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 33*i**3 - i**2 + 5*i. Let h(d) = 51*d**2 + 6*d - 51*d**2 + 3*d**3 + 31*d**3. Let p(j) = 3*h(j) - 2*w(j). Find the second derivative of p(c) wrt c.\nAnswer: 216*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/3 (b) -0.032 (c) 3\/4 (d) -6 (e) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvhlhvhvhhlhh. Give prob of picking 1 l and 2 h.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - s - 3. Let m(f) = 172*f**2 - 4*f + 25. Let l(i) = m(i) - 4*u(i). Find the first derivative of l(n) wrt n.\nAnswer: 352*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**3 + 32*d + 32. Let q be l(-1). Solve 0*u = 3*u - q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000104082 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3044 divided by -36025\nAnswer: -3044\/36025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 27*c. Let u(n) = -4*n**2 - 3*n - 3. Let r(k) = 11*k**2 + 8*k + 8. Let q(p) = 3*r(p) + 8*u(p). What is m(q(g))?\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t, z - 4*t + 84 = 5*z. Suppose -19*n = -z*n - 42. Let k be (6\/n - (-4)\/14)*1. Solve k = 3*g + 3*d - 6*d, -12 = -g - 3*d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*f - 833. Suppose 0 = -7*r + f - 9. Let u = 0 + 6. What is the least common multiple of r and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.6 - 33.9. Sort 20, z, -0.6.\nAnswer: -0.6, z, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19749 - -20169. What is the greatest common factor of k and 7840?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**4\/12 - 5*d**3\/2 + 11*d**2. Let q be v(-5). What is the units digit of 1\/q - 241\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k - 4*k - 9*k + 0*k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110150.75 rounded to the nearest 100?\nAnswer: 110200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 301*p**3 - p**2 + 1. Is z(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 5*u = 167, 73 = -2*h - u. Let a = h - -69. Suppose -a*y = -27*y - 112. Which is bigger: y or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.4136 and -0.4.\nAnswer: -1.8136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000136863 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, 12\/29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 7660?\nAnswer: 15320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2823*q**3 + 12*q**2 + 9*q - 14. Suppose -c - 2*c = -2*o - 43, 3*c - 4*o = 47. Let y be j(c). What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -2\/9, -0.1, -127, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*p + 99, -5*c + 111 + 9 = 5*p. Let n = c - -6. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685\/1912 at most 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -453674 times -1.2\nAnswer: 544408.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Let t be (2\/l)\/(2\/(-12)). Let g be t\/6 + 21\/(-9). What is g rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 108, 0.5, 4, 1\/5, 230, -7\/2?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n + 8 = 0, 2*n = 2*k - 14. What is the remainder when 38 is divided by (-120)\/(-4)*2\/k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -15*b - 3. Let r(h) = -14*h - 3. Let z(t) = -3*d(t) + 4*r(t). Is 15 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 4, 2, 6 in decreasing order.\nAnswer: 12, 6, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -7\/8, -0.2, 13?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 20 = 15*r. Let n = 0 + -1. Let g = n - 0. Put 1, g, r in descending order.\nAnswer: r, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116028 is divided by 2077.\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/33 and -68\/165369?\nAnswer: 1819059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t**2 - 2*t**2 - 104*t**2 - 71*t**2.\nAnswer: -153*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 944431 + -6?\nAnswer: 944428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-6)\/(-4))\/((-15)\/30)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6069, 24342, 54791, 97410, 152193, 219134, 298227, 389466?\nAnswer: 492845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, v: 8, r: 2, w: 3, z: 1, x: 1}. What is prob of sequence sv?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**19*j*j)\/(j\/j**(-3\/31)*j*j))**4 assuming j is positive.\nAnswer: j**(2220\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12580054 - 7?\nAnswer: -12580062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -162. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 23616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -0.1472 in increasing order.\nAnswer: -2, -0.1472, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87505 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 9. Let r be o(-6). Let w(q) = q**3 + 3*q**2 - 3*q - 3. Give w(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**4 - 6*x**3 - 4*x**2 - 3*x + 3. Let h(p) = -18*p**3 + 6034*p**4 - 12*p**2 + 5 - 6032*p**4 + 3 - 8*p. Let z(c) = -3*h(c) + 8*r(c). Factor z(s).\nAnswer: 2*s**2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4230)\/(-1645))\/((-76)\/(-266))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5 - 9*t + 10 + 13*t. Let f(l) = 2*l + 2. Determine -7*f(s) + 3*o(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (1 + (-1 - 2)). Let z(l) = 4 - 2*l + 5*l + 5*l - u*l. What is the tens digit of z(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2\/7 + 116*u\/7 + 432\/7 = 0.\nAnswer: -54, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(108) - (1 + sqrt(108))) + 0)**2 + 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (905 - 818) + -154 + 0.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*h**3 - 4346*h**2 + h?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 3:10 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (843359\/(-7132))\/(-22*2\/32)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -536 - -546. Solve -3*r + 1 - p = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11203402200 (base 5) in base 12?\nAnswer: 42583b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 2, w: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15184341 divided by 159\nAnswer: -95499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 7:24 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 18674 = 12*b - j, 2*j = -4*b + 6800. Which is bigger: b or 1701?\nAnswer: 1701","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-21)\/9 + 4). Let c(f) = 6*f - 1. Let z(a) = 12*a - 2. Let d be -5*((-204)\/(-60) - 4). Give d*z(y) + h*c(y).\nAnswer: 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50205 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93.0738 - 42.9835. Let o = f - -136.3. Let k = o + -0.226. What is k rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 10:06 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 580, 1235, 2134, 3277, 4664?\nAnswer: 6295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -288c1c (base 14) to base 13.\nAnswer: -3a3734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 - 15. Suppose -4*v - 7 = 9. Let o(d) = -d**2 + 1. Let q(f) = v*o(f) + b(f). Differentiate q(g) wrt g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 160*g + 2 + 1 + 2 - 163*g - 1. Suppose 0 = s - 0*s + 4. What is c(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.2030222 and 0.2423.\nAnswer: -6.9607222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/7 - 6*h**3\/7 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000934986 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -255794*0.4\nAnswer: -102317.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -25*t + 6. Let m be y(-2). Suppose 4*g + 3*b - m = 327, g - 5*b - 67 = 0. Let i be (11\/22)\/(2\/g). Is i bigger than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105 + 188?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 11 - 16)*(-4 + 4*f + 5 - 5*f) to the form a + b*f and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15 + 35 + (-2 - 7). Solve -31 - j = -21*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 172*x**2 - 883*x - 36. Give c(177).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -105. Calculate the highest common divisor of r and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 33*w = -28*w - 1119985, 0 = 2*c - 4*w - 447994. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/6565 and 56\/1313.\nAnswer: 6565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 843416351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*q = 6, 0 = -v + 4*v - 2*q - 9. Let d(r) = 3 - 2 + 10*r**3 + r**v. What is the remainder when 35 is divided by d(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -1\/4, 1\/5, -4053 in descending order.\nAnswer: 5, 1\/5, -1\/4, -11, -4053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2922153 is divided by 21807.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:09 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-2))\/(13\/(5\/((-195)\/(-1521))))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3416522098?\nAnswer: 2, 11, 155296459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 2, 0, 84, -1, 25, 1 in increasing order.\nAnswer: -51, -1, 0, 1, 2, 25, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/54 + 0)*-1037598 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 85*o**2 - 1208*o - 44. Calculate m(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 + 969 = 13*j. Is (-6)\/(-33) + (283200\/j)\/10 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.41 - 88915.2047?\nAnswer: -88906.7947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 47*i**2 + 137*i - 23. What is z(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 2*l. Suppose -4*u - l = -13. Solve -6 = -u*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165756677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-532\nAnswer: -212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*i + 3*i. Let x(n) = 9 + 2 - 5 - 3*n. Let l be x(i). Solve l = -4*y + 2*p - 22, y = 5*y + 3*p - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 73\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 39. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1335 + 1337. Factor 3\/4*f**3 + 1\/4*f - 1\/4*f**4 + 0 - 3\/4*f**l.\nAnswer: -f*(f - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0\/(-2) + -5. Let g be ((-8)\/(-10))\/(t\/(-10)). Find the second derivative of -2*k + 6*k**2 - 6*k**g - 3*k**5 wrt k.\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*b*u**4 + 5*b*u**3 + 80*b*u**2 + 2*b - 1460*u**4 + 2*u**3 - 3*u**2 + 43*u - 6 wrt u?\nAnswer: -960*b*u + 30*b - 35040*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 18*a**2. Let j(h) = 3*h + 5. Let l(x) = -4*x - 7. Let q(m) = -7*j(m) - 5*l(m). Give q(w(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.95 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11b - -4?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 3 = 16*m. Solve -m*i + 5*s = -16, -i + 5*s = s - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6019 not equal to -188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/3 - 9*k**2 - 12*k. Let h be n(6). Let r(b) = 2*b**2 - 51*b - 82. Let z be r(27). Sort h, -4, 1, z in ascending order.\nAnswer: h, -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 8*s + 234 = -267 - 227 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3999566*k**3 - 35018321*k**2 wrt k.\nAnswer: 23997396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1108 - 4?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.7391um in millimeters?\nAnswer: 0.0867391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -231\/4*l - 21*l**2 - 3\/4*l**3 - 75\/2 = 0.\nAnswer: -25, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 106 - 434 = 0. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2442 or -2412?\nAnswer: -2412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - 6) - (-93 - ((-3 - -37) + -37)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 703 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113\/200 + 3\/50. Let r = d - 1\/8. Determine f so that 3\/4*f - r - 1\/4*f**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 - (0 - -8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/17 in 0.12, -19, 0.3, -5, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -98*m**4 + 1259707*m**2 - 1259707*m**2 + 224 wrt m?\nAnswer: -392*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 49, -0.036 in increasing order.\nAnswer: -0.036, 0, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:34 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145066276.\nAnswer: 2, 29, 137, 72053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 77, 56, 53\/64?\nAnswer: 53\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 649247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8944)\/208 - -70) + 67*1.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-35))\/((-54)\/(-45)). Put i, 8, 0.01 in decreasing order.\nAnswer: 8, 0.01, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 4*g + 3*g)*(-3 + 1 + 1) + 0*g + 3*g - 2*g + 0*g + g - 2*g as y + u*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 431.6 - 432. Which is the second smallest value? (a) 3 (b) p (c) 2\/7 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-359 - -328) + (1 - -19)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015810633 rounded to five dps?\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-491*m + 465*m + 896*m).\nAnswer: 870*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -3. Calculate the remainder when f is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 8*t - 7*t)*(t + 3*t + 4*t) + 25*t**2 + 23*t**2 + 6*t**2.\nAnswer: 110*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + 15 - (98 - 171 - -174)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10860 is divided by 247.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2390 from 7011467.\nAnswer: 7013857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = u. Let j(v) = -v**2 + 3*v + 4. Let p be j(u). Suppose -4*s = p*f - 4, -f + 4 = -3*f. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/7 - 3*-1 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 11640?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 14*m**4 + 1502*m**3 + 15464*m**2 + 28488*m + 6912 = 0.\nAnswer: -96, -9, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7894045 and 7206?\nAnswer: 7901251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2894739947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(-7)*j)*j\/j**(-2\/7)*((j*(j\/(j*((j\/(j**(2\/5)\/j))\/j)\/j))\/j)\/j)\/j**0 assuming j is positive.\nAnswer: j**(-256\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 + -0.7. Sort 0.2, 2\/5, z in increasing order.\nAnswer: 0.2, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/23)\/p)\/p**(-24)*p**17\/(p**(-2\/17)\/p) assuming p is positive.\nAnswer: p**(16094\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1457271054 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399930168 divided by 51.\nAnswer: -7841768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6245035 to the power of 1\/2, to the nearest integer?\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 8*z**2 + z - 6. Let j be f(8). Let x be 2 - (3 - (j + 2)). Suppose x*c + 4*o = 82, 2*c - 30 = -o + 18. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -2\/5, -0.6707 in descending order.\nAnswer: 4\/5, -2\/5, -0.6707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + (-4 - (-20 - -5 - -29) - -2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 226. Calculate the remainder when o is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 15075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.45405 rounded to 2 dps?\nAnswer: -29.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*m = -4*m - 7, 19 = -k + 5*m. Let a = -19\/48 + 1\/16. Sort -2, a, k in decreasing order.\nAnswer: k, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318.3412 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/28)\/((-3)\/(-14)). Suppose -q = k - 0. What are the prime factors of (1 + k)*86\/(-6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(17))**2 + sqrt(17))*-4*4.\nAnswer: -272 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/5 + 132446*k**2\/5 + 2185107382*k\/5 - 50608397806 = 0. Calculate k.\nAnswer: -33169, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 2*j**4 + 3*j**4 + (3 + 3 - 5)*(-4*j**3 + 4*j**3 + 2*j**4) - 6*j**4 - 11*j + 11*j.\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9*15\/(-5). Let k be ((2 - 2) + 1)*-1. Calculate the remainder when 9 is divided by t + k - (-3 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(68)*1*5.\nAnswer: 4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 656 - 131. Suppose -r + g = -i, 0*r - r = 5*g - 123. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 108361?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368 and 1205384.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = k + 1, -5*k = -3*j - 10. Let h = 0 - j. Suppose 3*r + h*r = 42. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - g**3 - 5*g + 11 - 3*g + 4*g**2 - 1. Let p be h(3). Which is the smallest value? (a) p (b) -0.5 (c) -0.2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8575 from 5.\nAnswer: -8570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnpnepnnpnppinnnp. What is prob of sequence ep?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2 - 31. What is the remainder when 64 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(77*o**5 + 5261*o**2 - 5261*o**2).\nAnswer: -154*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688413311 to the power of 1\/2, to the nearest integer?\nAnswer: 26238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4\/2 + 27*v**2 - 144*v - 30. Differentiate g(y) wrt y.\nAnswer: 6*y**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30895? (a) -3 (b) -0.4 (c) -28 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2246 + 7*r**3 - 4*r**3 - 4494 + 2248.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 22, -3, -2, 3 in decreasing order.\nAnswer: 22, 3, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17714)\/(-16) + 8\/(-64). Suppose -2*g + s = 7*g. Calculate the lowest common multiple of g and 21.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 1. Let d(k) = -5*k - 2. Let h(j) = -8*c(j) - 3*d(j). Let b(n) = -1. Give b(y) + h(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 14714831.9 to the nearest 100000.\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*w = 2*w - 40, -25 = 5*w. Solve g = -4*a + 3*s, -a + 5*a + 12 = 2*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -501 - -504. Let v(o) be the second derivative of -1\/4*o**2 + 1\/40*o**5 - 6*o + 0 - 1\/8*o**4 + 1\/4*o**b. Factor v(p).\nAnswer: (p - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -29?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6021106 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.5 + -19. Let n = -3 - -5. Suppose 0*y = -2*y - 3*z - n, 2*z - 3 = 3*y. What is the nearest to y in 3, w, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -109, -282, -601, -1114, -1869, -2914, -4297?\nAnswer: -6066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 158, 829, 2124, 4187, 7162, 11193, 16424?\n\"Answer: 24*n**3 + 168*n**2 - n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2582, -1\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*a + 10 = 0, 2 + 2 = -2*a. Let r(j) = -j**2 - 8*j + 14. Let c be r(-9). Put s, 0, c in ascending order.\nAnswer: 0, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(70)*-6)\/(sqrt(70)\/sqrt(112)) - ((sqrt(126) + (sqrt(126) - sqrt(126)*-2) + sqrt(126))\/sqrt(2))\/(sqrt(27)\/sqrt(12)))**2.\nAnswer: 8092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.01 (b) 1 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1416, 3191, 4944, 6663, 8336?\n\"Answer: -2*l**3 + l**2 + 1786*l - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 + 126. Suppose n*k - 14*k = -70. What is the second derivative of 0*m**3 + k*m + 12*m - m**3 - 13*m wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 minus -0.182848?\nAnswer: 85.182848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 10*g**2 + 9*g - 5. Let m be a(-9). Let t(r) = r**2 + 3*r - 10. Let z be t(m). Solve 4*k - 12 = -z*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-875))\/(2*(-1)\/10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3417 or 0?\nAnswer: 2\/3417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 24. Let h = m - 23. Let k be (-50)\/(-18) + (-6)\/h. Solve 0 = -s + k - 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m - 37*m = -12. Let t be 7 + m + (-4)\/(-2) - -429997. What is t rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:15 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -683.5 - 388.\nAnswer: -1071.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -2\/3*r**3 - 6*r + 0 + 0*r**4 + 1\/5*r**5 + 0*r**2. Factor k(f).\nAnswer: 4*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (47 + (-2 - 0))\/1. Calculate the highest common factor of y and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {l: 11, g: 6, c: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**2 + 2805*t - 28550 = 0. What is t?\nAnswer: -571, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -5. Let r(l) = l**3 + 9*l**2 - 12*l + 1. Let w be r(f). What are the prime factors of (12\/w)\/((-4)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**2 - 5*p + 5. Let b = 151 - 146. Let y(w) = 20 - 23 + 7*w + b*w**2 - 4*w. Give 3*r(k) + 5*y(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0*n - 1\/1890*n**7 + 0*n**3 + 1\/540*n**5 - 43*n**2 - 1\/108*n**4 + 1\/540*n**6 + 0. Factor g(h).\nAnswer: -h*(h - 2)*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.926 + -1.03. Let w = -0.096 + i. Let h = 11 + -3. Sort w, -4\/9, h.\nAnswer: -4\/9, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -515 - -494. Let c(z) = -5*z**2 - 103*z + 46. Give c(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -7 + (2 - 3) + 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8724 and -49\/3302034.\nAnswer: 6604068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 6. Suppose 4*c - 24 = -8, 7 = x + 2*c. Is x - ((0 - q) + -22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17910663 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -5109645.\nAnswer: -25548225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**3 + 12345215*b**2 + 289287433*b?\nAnswer: 30*b + 24690430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4896 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -474*d**2. Let p(s) = -150162*s**2 - 2. Calculate p(o(w)).\nAnswer: -33737797512*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*o = -48, 0 = -2*q - 5*o - 28 + 11. Calculate the smallest common multiple of q and (67 + (-2 - -4))*1.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d - 261. Let o(g) = -2*g + 2. Determine -f(z) + 5*o(z).\nAnswer: 2*z + 271","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 72 (c) 6.8 (d) 1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*p + 287, 5*j + 5*p - 263 - 182 = 0. What is the remainder when 290 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from qyqyy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - 0) + -4 - -11\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 613, 914, 1211?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-63)*(-3)\/10. Let x = -0.03 + -0.37. What is the nearest to -0.2 in 1, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -b35b8?\nAnswer: -b35ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -8)\/(2 - 1). What is the common denominator of 19\/8 and 18\/(-30) - 1\/r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -3*a**6\/40 - a**5\/20 - 12*a**2. What is the third derivative of d(w) wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*a**3 + 36*a**3 + 40*a**3 + 17 - 41 to the form n*a**2 + r*a**3 + q*a + h and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -4*z - 2*s - 32, 2*z + 30 = -5*s. Let w = z - -12. Solve w*o + 8 = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107615?\nAnswer: 5, 21523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1300 and -47\/158028?\nAnswer: 3950700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7*i = -22. Let f(j) be the second derivative of 0*j**i - 4*j + 1\/2*j**3 - 3\/4*j**4 + 0. What is the second derivative of f(x) wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212042 (base 9) to base 14\nAnswer: -33d91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1387 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 - 226216*l\/13 + 7467306\/13.\nAnswer: -2*(l - 33)*(l + 113141)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, v: 1, c: 1, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -200, 1\/2, 1, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269 - 256. Suppose -8358 = -z*a + 16979. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g - 27. Let j be (-19)\/(1 - 0\/1). Which is greater: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8535 and 541119?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + x = -5, 5*x = -c + 2 + 3. Sort -3, 30, 0, c in decreasing order.\nAnswer: 30, c, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 12*f**3 + 243. Let b(u) = 3*u**2 + 3*u - 3. Let w(x) = -6*x**2 - 5*x + 5. Let t(g) = 5*b(g) + 3*w(g). Give t(q(d)).\nAnswer: -3888*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16046374.3114 + -5.\nAnswer: 16046369.3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**3 + n**2. Let b be s(-1). Suppose 4 = -4*g + 24. Suppose r = 3*p + g, -4*r - 4*p = -2*p - 6. Solve -b = 4*t - r*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 28364*-19*1 - (-235 + 241). Suppose 4*z - 715692 = -4*b, 4*b - 426586 = z + 289101. Let f = b + t. Round f to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 115*b**4\/4 + 2*b - 4. Let n(y) be the third derivative of y**5\/60 + 122*y**2. Give r(n(v)).\nAnswer: 345*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69847004 and 11540?\nAnswer: 349235020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0 - 23 = b, 2*t - 2 = 4*b. Suppose b*i = -i + 30. Solve -3*f - 2*j - 3*j = -6, -i = -5*f + j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p**2 + 1 + 500*p - 13 - 500*p.\nAnswer: 15*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/61))\/(q**(29\/4)*q))\/(q**(-24))**42 assuming q is positive.\nAnswer: q**(244175\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543206 (base 7) in base 16?\nAnswer: 50956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.661 in -2\/49, 0.3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 14. What is the remainder when 9 is divided by v*((-15)\/6)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27384 + 27389. Which is the nearest to -6\/23? (a) 3\/8 (b) 3\/14 (c) 3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 807107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(0 + 6\/(-9)). Suppose 0 = -2*p - 2*c + 4, -h*p = -p - 3*c - 4. Suppose -p*l - 3 = l. Put 5, l, 2 in descending order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 5, 2\/19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 12:06 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 15 = -2*b. What is the common denominator of b*62\/(-4)*-1 and -31\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = -24*x + 263. Let n be (-76)\/(-32) + x\/(-64). Find l such that -2\/5*l + 1\/5*l**3 + 0 - 1\/5*l**n = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u + 63. Let x = -3511 + 3507. Calculate g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5 - 3\/5*w + 3\/5*w**2.\nAnswer: 3*(w - 3)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-37))**(1\/2)*l**(-13)*l\/(l*l**(3\/13)\/l) assuming l is positive.\nAnswer: l**(-393\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969038.\nAnswer: 2, 7, 19, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28)\/((5002\/861)\/(-61)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -2) + 2 + -4. Let v be 1*(-3 - -2 - n). Let b = -198 - -1384\/7. Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from {l: 7, u: 7, e: 1, i: 2}?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(2052)*5)\/(4*sqrt(432)*-2 - (sqrt(432) - (sqrt(432) + sqrt(432)*-2)*2)).\nAnswer: 5*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from ieiiopeihope?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*w**2 + 85*w**2 - 163*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9447 + -0.0447. Let y = 0.2 - -0.2. Let n = l - y. Which is the smallest value? (a) -5 (b) n (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9481 + -9481.0104. Sort m, -4, 2\/9.\nAnswer: -4, m, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -4*z - 5*b - 0*b, -4*z - 10 = -2*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 6:53 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2635 and 4340.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15716392981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -8. Suppose -n*z = -12*z + 1. Which is the third smallest value? (a) z (b) -2\/11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2 - 6. Suppose -a*g - 6 = 0, -6*g + 2*g = -5*q + 22. Let k(v) = 3*v - q*v**3 + 4 - 2 + v**3 + v**2. Determine k(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlg when three letters picked without replacement from lqlqzzgqqgqzqzqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 4*v**2 - 3*v - 5. Let m be f(5). Sort 1, 8, m in decreasing order.\nAnswer: 8, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -0.2, 3\/5, 3, 49470\/11 in ascending order.\nAnswer: -0.2, -0.11, 3\/5, 3, 49470\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 7:37 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*k = 15, 4 - 19 = 3*x + k. Let j be -3 + 1 - (-17 + 4 - x). Suppose j*d + 44 = 1238. List the prime factors of d.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 2*l**2 + 4*l + 6. Let v be -3 + 11 + 7 + -17. What is b(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 58576?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(363) - (1 + sqrt(363))))**2 - ((sqrt(363) + sqrt(363)*1 + sqrt(363))**2 + -3).\nAnswer: -3239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)\/(g*g**(2\/27)*g))\/((g\/g**(-1))\/g)**(-2\/95) assuming g is positive.\nAnswer: g**(-6121\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*v - 3)*(6*v - 2*v - 3*v)*(-3 + 2 - 1) + (3 + 3 + 1)*(-9 - v**2 + 4 + 18).\nAnswer: -3*v**2 + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let k be p(-8). Let r(w) = w**3 + 11*w**2 + 12*w - 9. Is r(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56536, 226155, 508852, 904627?\nAnswer: 1413480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 32 = 3*t, -5*t - 21 + 1 = 0. Let p = -2 + f. Solve -p*i + 8 = -7*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742917518?\nAnswer: 2, 7, 19, 398989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3478 - -5446. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + 3*(-5 + sqrt(8)).\nAnswer: -17 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*45\/(-9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/17, -20747, -9\/2, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 3800853*u - 11402532.\nAnswer: -3*(u + 3)*(u + 1266948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 36 = 5*t, -5*t + 2*t + 2*i + 19 = 0. Let f(h) = -11*h - 2*h**2 + 16 - 3*h + 3*h**2 + 5*h. What is the smallest common multiple of t and f(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 2*v**2 + 22*v**2. Let r(k) = 3*k - 2. Let i(f) = 4*f - 2. Let l(g) = i(g) - r(g). Calculate l(b(u)).\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 567 and 36?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 1 (c) -2\/33 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 5) to base 3.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 21 = -9*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702023136 to the power of 1\/2, to the nearest integer?\nAnswer: 26496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 35 = 9. Let b(y) = 2*y - 20. Let x be b(w). Suppose 1 = 3*j - x*u, 4 = 4*j - u - 4. Solve 0 = j*p - 0 - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-231)\/420*(-112)\/(-56).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(30\/6167) - 8\/20. Suppose 1233 = b - 2*v, -b + 33*v - 29*v + a = 0. List the prime factors of b.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 + (16 + -1)\/5. Let z(f) = f**2 + 3*f - 4. Let v(q) = -q**2 - 7*q + 9. Determine i*z(o) - 3*v(o).\nAnswer: -4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5\/2, -2, -0.4 in descending order.\nAnswer: 2\/9, -0.4, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1722?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4094295.\nAnswer: 3, 5, 499, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.28 - -22. Let l = -0.22 + y. Which is the nearest to 0? (a) l (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((5 - 1 - 3) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**4 + f**4 + 5*f**4 + (-f + f - f)*(-f**3 + 2*f**3 - 4*f**3) + (-7 - 23 + 9)*(3*f**4 - f**4 + f**4)*(2 - 5 + 2).\nAnswer: 68*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57.5 + 58. Suppose 0 = -3*d - 4*h + 5, -4*h = -3*h - 5. Let u be -3 - 14*1\/d. What is the closest to u in -1\/7, j, 0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 12*m + 33. Let j be o(-14). Suppose 1025 = 5*h + 5*b, -5*b + 1013 = j*h - 3*b. Is h 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 {u: 2, j: 1, x: 2, h: 1, f: 2}. Give prob of sequence fxjx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*n**2 - 113*n**3 - 170*n**3 - 20*n**3 - 60*n**2.\nAnswer: -303*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129681 is divided by 314?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2759, -2762, -2765, -2768, -2771, -2774?\nAnswer: -2777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/17 (b) 5 (c) -51\/4 (d) 2\/9 (e) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + (-320)\/(-140).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3\/19 + 118*c**2\/19 + 5712*c\/19 - 11880\/19 = 0.\nAnswer: -33, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80519586*d**3*f**2*s**3 - 1262*d**3*f*s**2 - 2*d**3*s**2 - 4*d**2*f**2*s**2 + 7*d**2*f + 115*f**2*s**2 wrt s?\nAnswer: 483117516*d**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 1, z: 3, q: 5, g: 1, u: 6}. What is prob of sequence qgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6457954 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007579961 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1 + 0)**2.\nAnswer: 24*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 - 3*a + 2*a**3 - 2*a**2 + 2*a**2 to x*a**3 + q*a + t + c*a**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-5 + sqrt(5) + 5 + -2 - (5 + (6*sqrt(10))\/sqrt(2))) + -1))**2.\nAnswer: 2880*sqrt(5) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 381856399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 238, 0.2, -924.6?\nAnswer: -924.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*n. Suppose 0 = -v + n*v - 3. Is v greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42418.\nAnswer: 2, 127, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6)*(3 + 0). Let o(w) = 2*w - 7. Let s be o(3). Let n be s*0\/(-2)*i. Solve 3*a - 10 - 2 = n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848983 take away 0.1?\nAnswer: 2848982.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**4)\/k)*k**(-3))**35 assuming k is positive.\nAnswer: k**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102.33 + 100. Let i = -28.67 + j. Which is bigger: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63002310*r**3 - 34305854*r + 2.\nAnswer: -378013860*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 845?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.5, 1, 9\/157?\nAnswer: 9\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 2\/151, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8331027277047 - -5.\nAnswer: -8331027277042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - ((13 - 18) + (14 - -22))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-91)\/13)\/(-7))\/(((-12)\/20)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1798 - -18367. Suppose x = l + 4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3*z + 4*z - z**2 - 5*z - 2*z**4 to the form o*z**4 + r*z**2 + f*z**3 + t*z + d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3073 + 7673. What are the prime factors of z?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11817401 * -0.5.\nAnswer: 0.059087005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 15. Let y = u - -8. What is the nearest to -0.1 in -1\/7, -4, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + a + 1. Suppose 9*p + 3 = 6*p. Let u(l) = -4*l**3 - 7*l - 5. Give p*u(g) - 3*w(g).\nAnswer: g**3 + 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 p, and 1 g when four letters picked without replacement from {o: 3, p: 3, g: 13}?\nAnswer: 39\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 4*x. Let t be d(-3). Let j(o) be the first derivative of -o**3\/3 - 3*o**2 - 3*o + 4. Give j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 3:18 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**2 + 117*k**2 - 91*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/2 + 19\/8. Let o = 3.4 - 3. Sort o, -4, z in descending order.\nAnswer: o, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.56 times -1\nAnswer: 3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from rqqypqfqprfprlrprfqq.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306957.4ml to litres.\nAnswer: 306.9574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-8 - -1) - -7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 171*a - 997 = -168*a, q - 245 = 5*a. Calculate the remainder when q is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50581800.\nAnswer: 2, 3, 5, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3961 + -1. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 864, -2, -4 in increasing order.\nAnswer: -4, -2, 20, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -9*y - 5. Let n(j) = -j - 2. Let k(a) = 2*a + 5. Let s(v) = -3*k(v) - 7*n(v). Let b(o) = -7*o + 6. Determine y*b(u) - 6*s(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ogggggbggoccoucubgo. What is prob of picking 2 u and 2 b?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57.1 + 56. Is -9\/5 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -25, -46, -83, -142, -229?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -184, -837, -1960, -3553?\n\"Answer: -235*j**2 + 52*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 22 = 4. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.49808568 rounded to three dps?\nAnswer: 1.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14036 - -14038. Let u(z) be the first derivative of 20*z + 14 - 19\/2*z**p. Differentiate u(c) wrt c.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5749345, -11498725, -17248103, -22997479, -28746853, -34496225?\n\"Answer: x**2 - 5749383*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let b(y) = 8*y. Let t be (-2)\/4 + (-45)\/90. Let x(i) = t*b(i) - 3*w(i). Let d(c) be the first derivative of -4*c**3 - 2. Determine d(x(q)).\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**6 + 118*r**4 - 4193*r**2 + 1 wrt r.\nAnswer: -240*r**3 + 2832*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 798001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6 - 376\/(-56)). Which is the second smallest value? (a) k (b) 19 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnggooqqnqnqnqgqqm. What is prob of sequence oq?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -317*g + 376. What are the prime factors of o(-9)?\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2*v**2 + 3*v**2)*(7*v**2 + 6*v**2 - v**2 + 2).\nAnswer: 12*v**4 + 14*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u + 6*u**3 + 11*u + 7*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -296, -607, -926, -1259, -1612, -1991, -2402?\n\"Answer: -j**3 + 2*j**2 - 310*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 16*k - 10. Let u be x(-10). Let a = 55 + u. Suppose -a*o + 6324 = 1819. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(33)\/(sqrt(3) + sqrt(6)\/sqrt(2)) + 1 + 2*sqrt(11) + 1.\nAnswer: -3 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*k = -66931, -41966 = -t + 9*k + 24941. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1515680 and -42\/2510345.\nAnswer: 80331040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 3) to base 14\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**3 - 10*y**2 + 5. Let j(r) = 14*r**3 - 29*r**2 + r + 14. Let u(i) = -4*j(i) + 11*s(i). Let c = -197 + 202. Calculate u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93515 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18672.08 + -18672. What is the nearest to 2\/73 in -3, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**4\/12 - v**3 + 2*v**2 + 2*v + 3. Give p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a day in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -774 + 406. Let g = b + 368.802. What is g rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120019 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 12*s**2 + 19*s - 6. Let c be p(-10). Suppose 0 = -c*m + 3*m + 2. Solve 2*f = -g + 9, -m*f = g + 4*g - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ae (base 15) in base 9?\nAnswer: -752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 568119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + h + 3*i + 54 = 123, -208*h + 5*i + 697 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13)*k*k)\/k*k*k\/k**(-1\/12)*(k**(1\/6)*k)**(-1\/22) assuming k is positive.\nAnswer: k**(-329\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 677040 and 3640?\nAnswer: 677040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 8*n - 5. Let f(y) = -3*y + 2. Let b(c) = -5*f(c) - 2*i(c). Let s(p) = 18*p**2. Give s(b(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14308 and 57232.\nAnswer: 57232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1646191643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5 - 716*v**4 - 11213*v**3 - 9070*v**2 + 21000*v = 0.\nAnswer: -700, -15, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 1952044.\nAnswer: 1952040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 3332502.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12202211200 (base 3) to base 14\nAnswer: -2d58b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371936067 to the power of 1\/2, to the nearest integer?\nAnswer: 58068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 81, -0.01, -4, -0.28?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/434020 and 79\/14?\nAnswer: 3038140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqx when three letters picked without replacement from dpxdddpdqdddpqqkdpdp?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -5*y + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 615, 0.3, 0.4.\nAnswer: 0.3, 0.4, 615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 50. Let z(m) = -17. Let y(x) = 2*o(x) + 5*z(x). Let g(n) = 6*n. Determine g(y(l)).\nAnswer: -12*l + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2234 (base 5) to base 8.\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619\/21 - 44\/462 is divided by (-110)\/(-4) + (-3)\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392188 is divided by 383.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -10. Suppose -5*w - 2*j = -130, -2*w + 42 = 5*j - 31. Let q = c + w. Calculate the remainder when 25 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 l when three letters picked without replacement from klukuullxu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/5)\/(-4)*(-1)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12612649919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*i + 17 = -3*b, 4*i + 4 = 4*b. Let j = 29 - b. Let l = j + -15. Calculate the lowest common multiple of l and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 62535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/45 + 31\/180. Let v = r + -5\/12. Let n(p) = -p**2 - 5*p - 2. Let k be n(-3). What is the biggest value in -1, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-7)*119\/102 + 2944\/3864.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 12. Let z = -93 + 97. Calculate the remainder when m(-5) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25652\/297)\/22 + (-3 - 1))*3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 5:44 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**2 - d + 1. Give q(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 + -3261\/13. Let u be 1\/(6\/(-2) + 2). What is the third smallest value in t, u, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 3 + 0*s + s - 4*s. Let j be o(4). Let m = 30 + j. What is the least common multiple of m and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1211.\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -19 in decreasing order.\nAnswer: 5, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256869081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.186\nAnswer: 0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4942 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - b - 75152, 0 = 4*r + r - 2*b - 93943. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -735310530+-0.02017\nAnswer: -735310530.02017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -250986, 5 in descending order.\nAnswer: 6, 5, -250986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 6*m**5\/35 - 23*m**4\/28 - 5*m**3\/2 - 6*m**2\/7 - 975*m. Solve g(n) = 0 for n.\nAnswer: -1, -1\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2046 and 372.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28b3 - 9?\nAnswer: 28a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4404 is divided by 2594.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(12) + 2 + sqrt(15)\/(sqrt(20) + sqrt(5)).\nAnswer: 2 + 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from nirn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*10.849.\nAnswer: 260.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -406685979*m**2 - 5197*m - 39259.\nAnswer: -813371958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-212)\/30)\/53*(-18)\/8?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191.60895*-4.\nAnswer: -766.4358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1806 - 1806.03. What is the second smallest value in 4, j, 0.3, -79?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 - 626 = 50*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-22) - (-1 + (-1662)\/(-66)). Let n = r - -30. Solve -6 = -4*k + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869783165?\nAnswer: 5, 9871, 17623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 222011212?\nAnswer: -222011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 316\/(-102) + (-88)\/(-66) and 2\/7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**14*b*b\/((b*b*b**(1\/3))\/b)*b)\/((b*(b*b**(-6))\/b)\/b*b**(-2\/9)) assuming b is positive.\nAnswer: b**(206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 + 21*t + 11. Let n(r) = 11*r**2 + 43*r + 23. Let o(k) = 13*i(k) - 6*n(k). Let h be o(15). Sort 4, 2, h in decreasing order.\nAnswer: h, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 - 2.18. Let q(v) = v**2 - 1. Let k be q(0). Let b be (2 + -4)*k\/(-5). Sort 0.4, s, b in ascending order.\nAnswer: s, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l - 112 = 23*l + 22*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 287 in decreasing order.\nAnswer: 287, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**3\/5 - 4032*i**2\/5 - 1354752*i\/5 = 0.\nAnswer: -672, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7084 and 4422187?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163950 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 + -152.2. Let x = d - -33.2. Which is the closest to -1\/3? (a) -3 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/10)\/(216\/(-180)))\/((-5)\/(-30))*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -1023433 (base 5) to base 10\nAnswer: -17368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27968 or -27961?\nAnswer: -27968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 + 3*f + 9. Let y = -56 + 92. What is the remainder when y is divided by s(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 447 and 5215?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/2 + -1 + 34. Let m = -26 + q. Let f(a) = -m*a**2 - 2*a - a**2 + 5*a**2 - 9 + 10. What is f(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 5*g - 1584 = 0. What is the least common multiple of 40 and g?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -670675242 and 0.03.\nAnswer: -670675241.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - a**2 - a + 5. Calculate y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + a + 3. Let m(g) = -g**2 - 7*g - 5. Let r be m(-5). Let q = 6 - r. What is the remainder when q is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 7*y + 7. Let b be a(8). Suppose -2*n + 5*n + b = 0. Sort 3, n, -3.\nAnswer: n, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -11*i + 6*i + 27, -5*d - 5*i = -35. Solve 4*p = -5*l + 14, p - 15 = -d*p - 5*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62379787 - 62379812.0000095. Let f = 25 + q. Round f to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117.194 - 0.194. Let t = v + -117. Which is the closest to -0.1? (a) 0.5 (b) -0.04 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 13*s - 1. Let b(h) = -4*h**2 + 24*h + 1. Calculate -3*b(w) - 5*y(w).\nAnswer: 2*w**2 - 7*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) + 22\/126. Let n = -46585 + 46585.2. Which is the biggest value? (a) n (b) 4\/7 (c) f (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 220425*p**2 - 12146905368*p - 12146684944.\nAnswer: -(p + 1)*(p + 110212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i + 27. Let b be n(0). Let r = 30 - b. Solve -20 = r*v - 2*y, y - 8 = v - 0*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 10)*(-2*f + f + 2*f) - 71*f - 79*f - 5*f.\nAnswer: -146*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 516d7 + -20?\nAnswer: 516b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021978765 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 10, 203*v - 207*v + 24 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14 + 4)\/(-2) - 3. Suppose 56 = -u*a - 5*a. Let t(i) = -i + 29. Calculate the remainder when t(a) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*f = 113*f - 555545. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484818 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 - c. Let r(l) = 3*l**2 + 0*l + 3*l**3 + 2*l - 2*l**2 + 2*l**2. Let x(f) = r(f) + 2*u(f). Find the third derivative of x(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-110) - 116\/(-66)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.066 - 2.366. Let r = 13 - 22. Let y = -2 - -7. Which is the closest to r? (a) y (b) 5\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3896, 3894, 3892?\n\"Answer: -2*n + 3898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 18*y = g + 7, -2*g - 3*y - 16 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 10*d**2 - 12*d - 5. Let y = 13 + -23. Let l be o(y). Calculate the highest common divisor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 714317418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**32)**(2\/5)\/((g**(1\/8)*g*g)\/g*g**(5\/7)) assuming g is positive.\nAnswer: g**(3069\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14096, 28191, 42286, 56381, 70476?\nAnswer: 84571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + (-4262275)\/(-10))\/(6\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1\/(-1))\/1. Let b(x) = -x + 8. Calculate the smallest common multiple of b(k) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2858 and -11926?\nAnswer: 9068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by 597?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 965729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1397 (b) -2\/3 (c) -0.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, -2, 4, 0 in decreasing order.\nAnswer: 4, 0, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 201619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 1\/(1*(-1)\/3). List the prime factors of (i\/(-4)*-6)\/((-2)\/(-128)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 331333402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 3, i: 1}. What is prob of sequence ni?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-328)\/(-615))\/((-2)\/(-3)*(-9)\/(-10))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - 2*q**3 + 4 + 4092066*q - 4092074*q + 21*q**2 in the form b + c*q**2 + w*q**3 + k*q and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 6. Let j(p) be the first derivative of 5*p - 27. Give -2*b(t) - 3*j(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*g - 398 - 108. Let z(s) = s**3 + 21*s**2 - 34*s + 23. Is 23 a factor of z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8*c**2 + 0*c**2 + 5*c**2 - 4*c**2. Let p(y) = y. Give p(s(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -2. Suppose -t = -j - 2. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 0.5 (c) 15 (d) -960 (e) -4 (f) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -153, -473, -713, -633, 7?\n\"Answer: 40*a**3 - 200*a**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463, -1908, -4337, -7750, -12147, -17528, -23893?\nAnswer: -31242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*p = -5*w - 1204*p + 3371, 29 = 3*w + 2*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a8f - 5?\nAnswer: a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -920 less than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(2) + sqrt(18))\/sqrt(6)*3*-4.\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3, -2\/7, 9, -5 in descending order.\nAnswer: 9, 0.04, -2\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 + 42*j**3 - 243 + 113.\nAnswer: 42*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10532 - 5840. Let u = k - 4691.83045. Let x = 0.17 - u. Round x to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19363400.\nAnswer: 2, 5, 7, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnxxrrnxx. What is prob of sequence rn?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -59, -3, -2, -72 in decreasing order.\nAnswer: 10, -2, -3, -59, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Suppose 3*k + 5*v = -20, 5*v + 15 + 5 = -4*k. Let f = 2 - k. Sort d, f, -1\/6 in ascending order.\nAnswer: -1\/6, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 5*i**2 + 5*i. Suppose -2*y = -w + 8, 6 + 8 = -2*y - 2*w. Let r(n) = -n**3 - 2*n**2 - 2*n. Let g be (5 + -3)\/(-1)*1. What is g*m(t) + y*r(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/42*4374\/(-135))\/(4\/(-10)).\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2927827*k + 2927835*k + 152 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10672\/(-348))\/((-12)\/9).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9453 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*c - 36*c + 3*c)*(c**2 - 2*c**2 - 2*c**2).\nAnswer: 306*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5565458 divided by 1.\nAnswer: 5565458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1527, 1522, 1515, 1506, 1495?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 467*o + 36901. Determine c(-79).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 539780*j + 6477328\/3.\nAnswer: 2*(j - 809666)*(j - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m + 2*m**2)*(0 - 4 + 6)*(4 - 7 + 1).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14 + 5 + 10 - 11 + 2*l. Is x(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 194*j**4 + 397*j**4 - 2*j**2 - 204*j**4 - 259*j - 4*j**3 - 94*j to the form z*j + x + m*j**2 + h*j**3 + q*j**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158665959*q**2 - 158665952*q**2 + 317331909*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {g: 2, m: 1, y: 1, c: 2, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1539.37 to the nearest integer.\nAnswer: -1539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (39 + 4) - -7) + 4 + -5 + -11?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 958863750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 267*r - 9058. Determine s(36).\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 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 a = 16595 + -16231. What is the fifth biggest value in a, -0.5, -3, 0.1, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 905*r**3 - 6*r**2 - 767. Let f(l) = 904*l**3 - 5*l**2 - 769. Let u(c) = 6*f(c) - 5*i(c). What is the first derivative of u(a) wrt a?\nAnswer: 2697*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - x + 3 - 2)*(-6 + 3 + 5).\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 391.1154cm?\nAnswer: 3911154000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.22*319.\nAnswer: 4217.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2623, 2621, 2617, 2611, 2603, 2593, 2581?\nAnswer: 2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -250686 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - -8?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.64 and -1.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*w + 26*w + 263 = 38 - 205 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 110\/6*24\/16 and 1086\/44 - 6\/33.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 112575 + -434?\nAnswer: 112141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 3, a: 7, b: 1}. What is prob of sequence vjv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166537 is divided by 445?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2685 by 15.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 12*r + 13. What is the remainder when t(-9) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-4) + 3 + 27\/(-36). Suppose -5*p = p - 36. What is the fourth biggest value in i, p, 0.01, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4206797174.\nAnswer: 2, 2103398587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 3:56 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 7*x**2 + 7*x + 10. Let g be r(-6). Which is the third biggest value? (a) 47 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 1. Let o(s) = 136*s**3 - 34. Calculate o(r) - 34*x(r).\nAnswer: 170*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/4 + (-10)\/(-6 - 1920\/(-321)) is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 2 - 2*l**3 + 9*l**2 + 3 + l**3 + 0*l - 5. Let o be (-2)\/(-2*2\/36). Let n be (-6 - -5)*o\/(-2). Calculate y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 113*l**3\/6 - 59*l**2 + 86*l. Differentiate z(v) with respect to v.\nAnswer: 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71344 + 128013. What are the prime factors of t?\nAnswer: 61, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10319 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.43 minus -843?\nAnswer: 840.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 612*f**2 - 1880*f + 8451299?\nAnswer: 1224*f - 1880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -16, 1\/2, 2\/5.\nAnswer: -16, -0.1, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 - 9)) + (-73 - -65).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -21*y**2 - 1\/50*y**5 + 0*y - 1\/20*y**4 - 1\/300*y**6 + 0 - 1\/15*y**3. Factor g(v).\nAnswer: -2*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 4:13 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9631 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-8) - (-3 + (-75)\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -10. Let b(j) = 4*j - 12. Let r be b(m). What is the least common multiple of 2\/(r\/21)*4 and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4 + 74*j**3\/7 - 64*j**2\/7 - 24*j\/7 = 0.\nAnswer: -6, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -207, -840, -1897, -3378, -5283, -7612, -10365?\n\"Answer: -212*o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 32320*g + 522291200.\nAnswer: (g - 32320)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2100)\/(-200)*30\/(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.31 - -3.61. What is the closest to o in 1, -4, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45664759.\nAnswer: 7, 1399, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5\/113, -2, -2\/3, 2?\nAnswer: -5\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 72, -3758, 7 in increasing order.\nAnswer: -3758, 5, 7, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160634115 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 436116568 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 2*n)*(-8*n**3 + 8*n**3 + 7*n**3) + 4*n**4 - 2*n**4 + 0*n**4.\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 + 99. Solve 2*o - a*o - 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 32*r - 34. Suppose h + 1 = -5. Let o(w) be the first derivative of w + 19. Let p(s) = h*o(s) - t(s). What is the first derivative of p(j) wrt j?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*q + 2*q**2 + 73*q - 2*q**3 + 0*q**2 - 8.\nAnswer: -2*(q - 2)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 349*m**5 + 54*m wrt m.\nAnswer: 6980*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 4. Let v(q) = -3. Let r be -6 + 300\/48 - 19\/(-4). Give r*v(s) - 4*f(s).\nAnswer: -4*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 6*v. Suppose -2*w - 3*b - 1 = -0*b, 7 = -2*w - b. Let a be t(w). Find the third derivative of -5*d**5 - a*d**5 + 5*d**5 - 12*d**2 wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 5*h**2 - 9*h + 43. Calculate v(5).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -105. Let d = f - -24. Let c = 28.6 + d. What is the nearest to 0 in 2\/25, c, -0.1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/13)\/((-2)\/13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s**4 - 11*s**4 - 4*s**4)*(2*s - 4 + 0 + 1).\nAnswer: -8*s**5 + 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-26) + (-640)\/(-65) + -6. Suppose -5*g - c + 59 = 0. Let z = 15 + -4. Calculate the greatest common factor of g and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(-2*7\/42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (7 - (-9 - -21))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**4 + 2*j**3 - 2*j**3)*(-1 + 1 + j + (1 + 2 + 3)*(2 - 12 - 12)*(-2*j + 4*j - j)).\nAnswer: 786*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 + 0)*(-3 + 3 - 4) - 1 - 1 + 8)*(26*n - 21*n - 15*n) as r*n + y and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 35. Let q = -222\/5 - g. Find x, given that -6\/5 + q*x**2 - 3\/5*x = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 40*o**2 - 3*o + 18. Let b be h(-20). Calculate the greatest common divisor of 1066 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(45\/16) + -2. Which is the closest to -0.2? (a) k (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = -u. Suppose 0 = -u*h + 3*h. Let w(x) = -x + 6. Calculate the smallest common multiple of w(h) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47916 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 149*l - 154*l + 147*l**2 + 118*l**2 + 168*l**2 - 158*l**2. Let v(k) = k. What is o(v(i))?\nAnswer: 275*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -49.00011. What is k rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 2*t**2 - 10*t**2)*(-7*t**2 - 11*t**2 - t**2) - 14*t**4 - 3*t - 8*t**4 + 23*t**4.\nAnswer: 115*t**4 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqtu when four letters picked without replacement from tuuttquttutqtututtt?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**2\/3 + 2915512*p\/3 - 1062526277768\/3 = 0.\nAnswer: 728878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37126\/7 + -5304. Put p, 5.2, -0.06 in decreasing order.\nAnswer: 5.2, -0.06, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31126 divided by 79.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19 (b) 4 (c) 3 (d) -8 (e) -2\/601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -0.164, -0.5 in descending order.\nAnswer: 0.9, -0.164, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 573*l**2. Let a(q) = -1441*q**2. Determine z(a(v)).\nAnswer: 1189823613*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnnl when four letters picked without replacement from nilllnln?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 4:17 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a**2 + 2*a + 2. Let j(t) = t + 15. Let o be j(-7). Let m be (-1)\/(1\/(o\/(-4))). Suppose -2*y + 8 = m*y. What is l(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 4*q**2 - 2. Let i(o) be the first derivative of o**2\/2 + 6*o - 1. Let t be i(-3). What is l(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d + 12 = 44*d - 4*z, -9 = -3*d - 4*z. Solve -r + 28 = -4*h + 54, -d*h + r = -20 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 27*y**2 - 26*y + 2. Let r be v(-26). Which is the closest to r? (a) -0.4 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 14 - 5. Suppose -b - m = -4. Let q be (b - -2)*(-2)\/(-1). Calculate the greatest common factor of 42 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -90, -12, -3 in decreasing order.\nAnswer: 0, -3, -12, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 5*r**4\/6 + 11*r**2\/2 + 10*r. Let j(a) = 2*a**2 + 2. Give -2*i(y) + 11*j(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 69*q + 72.\nAnswer: -3*(q - 24)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzr when four letters picked without replacement from zrwrzrrzrrrrwz?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - 3. Let q = 11 + c. Let n(x) = -x**3 - 10*x**2 + 6*x + 1. List the prime factors of n(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 3*d**2 - 12724*d + 63817. Calculate c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = -39 - 34 + 105 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7261dc (base 14) to base 15.\nAnswer: -5133a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9100658 to the power of 1\/2, to the nearest integer?\nAnswer: 3017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -4*v**3\/21 + 74*v**2\/7 - 40*v + 1270. Determine l, given that x(l) = 0.\nAnswer: 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 0*v**2 + 0*v**2 + (3*v**3 - v**3 - 4*v**3)*(-2*v + 4*v - 3*v) + 2*v**4 + 4*v**4 - 4*v**4 + v**4 + 0*v**4 - 3*v**4 + 1 - 16*v**4 + 1 + 21*v**4.\nAnswer: 5*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 + 52*l**4 + 194*l**2 wrt l.\nAnswer: -240*l**3 + 1248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8267053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100211012 + -1101?\nAnswer: -100212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -296, -37, -10 in descending order.\nAnswer: -10, -37, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 644473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9788 - 9773. Let i be -2 + 0 + 1 - -268. Suppose a = 3*n - i. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - s + 5*s)*(5 + 0 - 2) - 54*s + 23*s + 51 + 27*s - 22 - 5*s + 22 to u + l*s and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-25)*w*w))\/w*w)\/(w\/(w**(-29)*w)) assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let c = i + 2. What is the second derivative of -j**4 + j - 2*j**5 + j**c wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 117*r**2 - 35*r - 486. Is i(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3167*z - 3549*z + 1 - 1 as n*z + j and give n.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -36, -191, 7, -2\/31, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-2)*(0 + 1632996\/24). Let u = c + 40583. Round u to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/60*1)\/(8\/(-192))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -8. Let s be (-6)\/(-5) + 0 + -1. Let f = 10.665 + -10.725. What is the nearest to w in -1\/3, f, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) - (sqrt(1331) - (-4*2*sqrt(1331) - sqrt(1331)) - sqrt(1331))**2.\nAnswer: -107811 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*v + 81 - 81)*(53*v + 4 + 3 - 7 + 99*v).\nAnswer: 1976*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16\/24*(-3 - (-15)\/6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13904 and 810224.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -1 - (-266 + (599 - 306)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1134011202 (base 5) to base 13\nAnswer: -716399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 35, 4\/7, 3664, 0.03 in decreasing order.\nAnswer: 3664, 35, 4\/7, 0.03, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8017*o**3 - 8112*o**3 + 14789*o**3.\nAnswer: -1340*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 10:38 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 56, 73, 90?\n\"Answer: 17*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Put 3, f, 0 in ascending order.\nAnswer: 0, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 + -32.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + m**2 + 3*m. Let a be ((-11)\/2 + 4)*2. Let b(p) = -p**3 - p**2 - 2*p. Calculate a*s(g) - 5*b(g).\nAnswer: 2*g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-4)\/1)\/((-50)\/9450) and 39.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 3*f - 75. Let z be 32\/f - 4\/10. Suppose z = 4*u - i - 9, -2*u - i - i = -2. Solve -m + u*m = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238 by -7.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + 3*sqrt(432) + (-4*sqrt(432)*2)**2 + 1.\nAnswer: 36*sqrt(3) + 27657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 39135.85 weeks?\nAnswer: 23669362080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -291\/2371 - -401945\/6771576. Calculate the common denominator of -5\/51 and l.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, 1, -1511, -4, 2 in decreasing order.\nAnswer: 183, 2, 1, -4, -1511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 288*k**3 + 843*k**2 + 558*k.\nAnswer: 3*k*(k + 1)*(k + 2)*(k + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9982?\nAnswer: 2, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*p - 3. Let c = -67590 + 67590. Sort c, p, 0.4, 4.\nAnswer: p, c, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 294.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -661.02 - -767.901. Let w = m - -0.119. Let f = 106.792 - w. What is f rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(sqrt(3) + (sqrt(363) + sqrt(363) + 1*sqrt(363))**2)*5.\nAnswer: -32672 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1258054*y - 219 = -1258052*y + 5*d, 5*y = -8*d - 354 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -79. Let q = -35 - a. Is (-2 + 0)*47\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) + 2\/12. Let a = -266263 + 266263.2. What is the closest to 1.45 in 1\/4, a, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10562?\nAnswer: 2, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-140)\/(-21)*(2 + 1). Suppose -20 - 6 = 2*m + 2*v, -39 = 3*m - 2*v. Let t = u + m. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-21)*(j**(-4\/9)\/j)\/j*j*j**(4\/7)*j*j assuming j is positive.\nAnswer: j**(-3898\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/5 - (-12797)\/9380?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 16*i + 21. Let g be c(15). Let k be (-780)\/(-117)*g\/10. Solve 6*t - 7*t = -k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -36*j. Let c(s) = -14*s**2. Give o(c(n)).\nAnswer: 504*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3)*255\/90?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0827 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 76, 11, -122, -347, -688, -1169?\nAnswer: -1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 48 = 7*o. Suppose o = c + 7. Let x(i) = i**2 + 8*i + 4. Let k(s) = s + 1. Let j(t) = c*x(t) - 3*k(t). Determine j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 225 + 212 - 30*o**2 - 437. Let x(z) = -3*z. Give x(r(w)).\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Find the third derivative of -y*m - 3*m**2 + m**6 + 5*m wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -117 in 8, 1, 2, -1\/5, 1\/18?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + ((-1)\/5 - (14 - 568\/40)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 0*z + 9*z + 0 as y + p*z and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10456 - 0.3?\nAnswer: -10456.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 19*v - 57. Let i be u(-16). Let n(r) = -r**3 - 9*r**2 + 2. What is n(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b - -241e4?\nAnswer: 241a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120 - (-123 + 60)) + 30?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 389 = 11. Let a = -23 - -168. Let f = a - r. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 201*m**3 + 4*m + 199*m**3 - 20*m + 5*m**2 - 4 as b*m**3 + q*m + t + g*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168154 bigger than 168154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -81, -117, -135, -129?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 77655.38\nAnswer: 77655.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2536?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**3 + 4*z**2 - 2*z - 2. Let r(t) = -t**3 + t**2 - t - 1. Suppose 4 = 2*h - 0. Calculate h*r(l) - y(l).\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.026, -72, 0.3, 0.5?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 25 - 1 = -10*t, -2*i - 8 = -2*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*l = 150*l - 408. Solve -l + 15 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 625 - 625.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*w - 103*w + 85*w to the form n*w + m and give n.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56314 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3467719l?\nAnswer: 346.7719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/368 and -81\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*a = 32, -8*v + 2*a = -5*v + 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 19*g + 62. Determine n(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + d**3 - 3*d**3 + (-d - d + d)*(d - d - d**2) + 0 - 2*d**3 + 0 - 1 - 1 + 0 + 4*d**3.\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(316 - 162 - 172 - 6*a)*(-20 + 0 + 122).\nAnswer: -612*a - 1836","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3245 + -3250. Sort 5, -187, 3, r.\nAnswer: -187, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/34300 and 22\/175?\nAnswer: 34300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*k - 40 = 0, k + 587 = 3*y + 570 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, n: 3}. What is prob of sequence nn?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2458 + 2455 = -18*j + 5*i, j - i - 11 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = 2*s - 2*f, 0 = -5*s - 5*f + 30. Let x(v) = -28*v**3 + 2*v**2 + 3*v - 1. Let k be x(s). Round k to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -310 + 307. Calculate the common denominator of (1\/20)\/(8\/(-50)) and (126\/40 - k)*(-6)\/(-117).\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l**2 - 3*l**2 - 9*l**2)*(-25 + 4038*l - 2019*l - 2016*l) to u + b*l**2 + x*l + r*l**3 and give b.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -83 - 75 - 42*b**3 + 148 - 31*b**3 - 2*b**4 wrt b?\nAnswer: -8*b**3 - 219*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 5*i**2 - 5*i - 5. Let p = -3 + 4. Let l be -4 - (3\/p + -2). Let y(g) = -g**3 - 3*g**2 - 3*g - 3. What is l*y(b) + 3*a(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3438443 and 90072?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 2, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than 39?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19130012 and 60544?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) -4 (c) 4.3 (d) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 0 - (-70 - -80)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/3 in -5, -2, -3\/2, 9.8725?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - 42\/9 - (-362)\/(-150)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**4*u)\/(u**(5\/3)*u))**(1\/68)\/((((u\/((u**(-2\/5)\/u)\/u))\/u)\/u**(-6))\/((u**(3\/4)\/u)\/(u*u**(-1\/4)))) assuming u is positive.\nAnswer: u**(-4829\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 15. Suppose 4 - 6 = c - k, -y = 5*c + 2*k. Let j(w) = w**2 + 3*w - 2. Let d be j(-3). Which is greater: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196785 - 196785.2999904. Let c = 0.3 + s. Round c to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3665.\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 + 6 = 0. Suppose 0 = 3*b - 4*h - 1152, -2*b + 249 = h - 530. Let y be b\/14 - a\/(-7). Calculate the greatest common factor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16524 + 33043 - 16519 - 693*m + 688*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11*c - 40 = 0. Suppose -168 = c*w - 8*w. Let b be (w\/(-21))\/(2\/(-3)). Solve b*s = 1 + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*34.596\nAnswer: -3.4596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -17 - 82. Let y = -80 + 57. Let j = 40 + y. Calculate the remainder when j is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 17*i**2 + 27*i + 184. Give q(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 588648169?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.506 + 0.806. Sort -19, k, 5, -5, -99 in ascending order.\nAnswer: -99, -19, -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7282 or 4653?\nAnswer: 4653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 269466 = 11*g, -2*g - j - 14124 = -63114. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 184888 + 42?\nAnswer: 18490a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.1 + 14.132. Let q = s - 85.032. Let m = q + 84.5. What is the second biggest value in -0.3, m, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 0.2 (c) -1\/4 (d) 1\/7 (e) 3 (f) -2\/57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 8 - 6750*y - 1 - 1708*y.\nAnswer: -8458*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((2*sqrt(110)*-3 - sqrt(110)) + (sqrt(110) - -5*(sqrt(110) + (sqrt(110) - -1*sqrt(110)))))\/(sqrt(90)\/sqrt(81)*-1))**2.\nAnswer: -162*sqrt(11) + 8028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5378 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2539*l**2 - 5135.\nAnswer: -5078*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 20*3\/27. Let l = 0.59 + -3.69. Let g = 3 + l. Put g, i, 0.3 in decreasing order.\nAnswer: 0.3, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 12 + 21 + (0 - 4 + 2)*(-4 - 1 + 4))*(-2*z**2 + 3*z - 3*z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4637 + -0.3.\nAnswer: 4636.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1741579\/374 + -98732\/17. Let c = u - -1152. Find the common denominator of -23\/12 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/3))**1\/((i*i**8*i)\/i**(-7))*((i**(-1)\/i)\/i)**(-9)*i**(1\/3)*i*i**2 assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 37754\/5, 12, 0.2 in increasing order.\nAnswer: -5, 0.2, 12, 37754\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 159331?\nAnswer: 2230634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2246.5 + -2247. Let d be (-1)\/(0 + (-7)\/2). Which is the nearest to d? (a) g (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45601 - 113\nAnswer: -45714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -8.25\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 36 = 6 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from wwswfowsfwfffosss?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.193 - 0.093. Let g = -5.968 + s. Let f = 0.1319975 - g. What is f rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*3*(sqrt(384) + (1*sqrt(384) - sqrt(384)) + sqrt(384)))\/((-6*-1*sqrt(120))\/sqrt(10)))**2*-5.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-19)\/g**(2\/3))**(9\/4) assuming g is positive.\nAnswer: g**(-177\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 9*o + 10. Let h be t(7). Let r(i) = 4*i**2 - 3*i + 7. What is the remainder when r(h) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9938 by 5013.\nAnswer: 9938\/5013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s**3\/15 - 3*s**2\/5 + 100. Factor j(x).\nAnswer: 2*x*(x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11736 divided by 9?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9458.42954 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11020 + 0?\nAnswer: -11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -0*t + 6*t. Let g = 0 - 0. Suppose 0 = 3*y - 4*j + 5*j, g = -3*y - 3*j. Solve z + 3*q + 3 = y, t*z + q + 5 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 2:42 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13004, 0, -16, -2, -1 in increasing order.\nAnswer: -13004, -16, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 152*t**2 + 11*t + 63. Let k be j(-9). Let n = -7991 + k. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o. Let j = 2 - 3. Let x be a(j). Suppose -l = 2*l + 2*k - 97, 3*l - 62 = x*k. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.930823 rounded to 1 dp?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*0*(-3)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.861765 kilometers to meters.\nAnswer: 1861.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 59*v**2 + 37*v**2 - 18*v**2.\nAnswer: 78*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 189\/422 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51279780 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 3 + 1\/6*u**6 + 0*u**2 + 0*u**3 + 0*u - 2\/5*u**5 + 1\/4*u**4. Factor p(d).\nAnswer: d**3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:54 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1228*t + 1232*t - 16. Solve 20*r + 80 = t*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5*g + 2*g + 5*g - 18 to m*g + d and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxnmmmmmmmuxxmxuam. What is prob of sequence ax?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11778343?\nAnswer: 167, 70529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*i, -5*i + 2*i - 6 = 0. Suppose 94 - 226 = -l*d. What is the least common multiple of d and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 3. Let y be l(1). Suppose y*o = -o + 72. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**2*r**2*y - m**2*y + 5*m**2 - 2*m*r**3*y - 2*m wrt r?\nAnswer: 8*m**2*r*y - 6*m*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3641 by -331.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 - 28 + 28)*(4*p**3 - 4*p**3 - 2*p**3) + (-p**2 + 2*p - 2*p)*(-8 + 0 + 1)*(-5*p**3 + 2*p**3 + 2*p**3).\nAnswer: -23*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -5\/6, -1058, -11?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-2 + 5 + -1) - -1. Suppose -c*v - 5 = -4*v. Solve 4*j - f = f - 4, 5 = -5*j + v*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9358 + -93501\/10. Calculate the common denominator of a and 39\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 235492493, 235492495, 235492497?\n\"Answer: 2*d + 235492491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 48. Suppose 4*z = i, 29*m - 2*z + 24150 = 31*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161262 is divided by 453?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*q - 87, -k + 3*q + 7 + 9 = 0. Let c = -78 + k. Let f = 84 + c. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.408 + -0.389. Let h = o - -0.8. Let y = -0.0059 + h. Round y to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283668903.\nAnswer: 3, 7, 101, 109, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 152764 = 5*j + 33931, 3*u + 4*j = 112003. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270 times -1.4\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -997, -10, -144, -2 in decreasing order.\nAnswer: -2, -10, -144, -997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -70\/1161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.87 rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10. Let f(u) be the first derivative of -3*u - 76. Let v(l) = 7*f(l) + 2*g(l). Let j(m) = -m - 3 + 4*m + 6. What is -j(k) - 3*v(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 take away -9.8303?\nAnswer: 9.9003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-1 - -16 - 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**5 + 45*m**4 + 237*m**3 + 495*m**2 + 300*m = 0.\nAnswer: -5, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 21*a**2 - 118*a - 1090. Determine m(-8).\nAnswer: 1198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2 - 3 + 11*g + g**3 - 2*g**3 + 10*g**2. Let y be f(11). What is the units digit of 16\/2*(-5)\/y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011221 (base 4) in base 2?\nAnswer: -10000101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-5)\/16))\/(3427\/1490*7\/(-161)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9095000567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(-1 + sqrt(1100)*-1 + 2) + -1 + 3)**2.\nAnswer: -160*sqrt(11) + 17604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103659, -104080, -104781, -105762, -107023, -108564?\n\"Answer: -140*n**2 - n - 103518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24331*q**3*r**3 + 577*q**2*r**3 + q*r**3 - r**3 wrt q.\nAnswer: 145986*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = m - 7528, 47*m - 5*j = 44*m + 22576. What is the greatest common factor of m and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 65.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 2724088?\nAnswer: 2724084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((5 - 8) + 6) - 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -2. Let y be 0\/(-5 - m) + 26. Suppose -2*p = -c - 6*p - 3, 5*p = -3*c + y. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 675*y - 15283 with respect to y.\nAnswer: 675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-22) - 471\/15543.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111 - 101111001010010?\nAnswer: -101111000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 12 - 29) + (12 - 0).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11014888 to the power of 1\/2, to the nearest integer?\nAnswer: 3319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7517 - 3434 - 1418)*(-2*t + 6*t - 2*t)*(2 - 5 + 1).\nAnswer: 49476*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11226667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5828, 5832, 5838, 5846, 5856?\nAnswer: 5868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 82 = 2*r - 4*d, 4*r + 5*d = 120. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 16 + 25 + 3*c + 23.\nAnswer: -c + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 + -79. Let y(n) = n**3 - 6*n**2 + n - 2. Let g be y(6). Let r(q) = -g + f*q + 0*q + 0. Let i(x) = 3*x - 3. Give -3*i(d) + 2*r(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 152 = -3*k. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50329?\nAnswer: 50329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.96, 7, -0.0162, 0 in descending order.\nAnswer: 7, 4.96, 0, -0.0162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31777266, 63554522, 95331778?\n\"Answer: 31777256*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1347623 to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -126. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -182301 and 21.\nAnswer: -3828321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 2. Does 10 divide i(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339984349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -830 = -149*w + 213. Let o(m) be the first derivative of -1\/3*m**3 - 7*m - w - 9\/2*m**2. Determine o(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 173760954 divided by 57920318?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21472824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 589891505 to the power of 1\/2, to the nearest integer?\nAnswer: 24288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 2044.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**3 + 8*j**2 + 11*j + 15. Let i(b) = -2*b**3 - 3*b**2 - 4*b - 5. What is -4*g(a) - 11*i(a)?\nAnswer: -2*a**3 + a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < -14163\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10008 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**2 - 8 - 3*r**2 + 9*r**2 + 8*r. Let k be u(6). Suppose s = 4 + k. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42107107?\nAnswer: 7, 6015301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 3) to base 11\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1000302431144?\nAnswer: 1000302431141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 13 - h - 23)*(-11*h + 11*h - 34*h**4).\nAnswer: -68*h**5 + 340*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0*v**2 + 1\/6*v**6 + 0*v**4 - 3\/4*v**5 + v + 10\/3*v**3 + 0. Determine t, given that z(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -550.6 and -263?\nAnswer: 287.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -46?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/5)*y\/(y*y**10)*y)\/(y\/y**(-15)*y)**22 assuming y is positive.\nAnswer: y**(-1911\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {e: 4, j: 3, h: 6}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 74 = 42*q - 5. Solve q*y + 0*y + 4*l = 10, -y - 4*l + 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y + 1. Let c(x) be the second derivative of x**4\/4 - x**3\/6 - x**2\/2 + 1463*x. Determine -2*c(w) - 2*r(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 52 = 18*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 418*m**5 + m**3 + 481*m**2.\nAnswer: 25080*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4378 + 4382. Let j be 4\/(-15)*(-1)\/2. What is the nearest to -2\/5 in 1\/5, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -4493?\nAnswer: -4493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1\/5, 2070, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 45 = -3*w, 3*b - 6*b - 4*w = -83. Suppose b*u = -0*u + 2376. What is the smallest common multiple of 162 and u?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -203, 1, 4, -12 in descending order.\nAnswer: 4, 1, -12, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 8:05 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193794 is divided by 343.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9367236 milligrams in tonnes?\nAnswer: 0.0000000009367236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-22)\/(-3)*(0 - -3) and (-24)\/(-14)*(-84)\/(-9)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Let m be s\/(-78)*(-4 - -1). Which is the third biggest value? (a) 2\/9 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450068383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27\/7, -0.5, 1, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:16 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3284*t - 1826*t + 235356 = 2022*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -62?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3 + 3*v + 217. What is s(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 19*n**2 - 18*n + 5. Let z be i(-18). Suppose -4*k = -h - 2461, -z*k + 2*k = -h - 1846. Suppose 7*v = 8 + k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-59)\/1)\/1?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8431880 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 12:33 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z**3 + 4 + 3 - 2 - 4 - 18*z.\nAnswer: -52*z**3 - 18*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 32 = 6*m. Let u(o) = -o**3 - 5*o**2 - 5*o - 2. Calculate u(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*0.37.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l - 8*l + 6578. Suppose 5*x - 220 = 10. Calculate the highest common factor of l and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4244 + 4092.92. Let j = -154 - d. Round j to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -91056*l - 637210. What is k(-7)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -87801 + -31076\nAnswer: -118877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*f - 80, 4*p - 2*f = -17 - 59. Let w be 3 - 8\/p*-6. Which is the nearest to w? (a) 0.3 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-2 + 1) - -4. Suppose 3*w = j - 20, -2*j - 5*w + k = -2*w. Let m = 5 + -1. Solve -5*s + 3 = 2*y - m, -4*s - 5*y - j = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/11 - 354*x**2\/11 + 2232*x\/11 - 3402\/11.\nAnswer: -2*(x - 3)**2*(2*x + 189)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003237575 to 6 decimal places.\nAnswer: -0.003238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -26\/957?\nAnswer: -26\/957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.1044 to one decimal place.\nAnswer: -121.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1, 39266 in ascending order.\nAnswer: -3, -1, 1, 39266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20988 or -20985?\nAnswer: -20988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:55 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 - 2*n**3 + 4214 + 2*n**3 - 26*n - 4213 as t + r*n**3 + m*n + x*n**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80, 209, 382, 599, 860, 1165?\n\"Answer: 22*u**2 + 63*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s - 17. Let x be v(2). Suppose -x - 35 = -10*u. Solve -u*b - 17 = 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.7 + 21.15. Let t = 1.449969 - c. What is t rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301716650 divided by 6034333.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/1610*6\/15?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 7*k + 6. Give o(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -2*w**5\/5 + 31*w**4 - 80*w**3 + 1454. Factor t(s).\nAnswer: -2*s**2*(s - 60)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6. Let x be (-147)\/14*32\/56. Let v(y) = y**3 - 1. Give x*v(m) - d(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21*g**2 + 2*g - 2. Let x(s) = 149*s**2 + 14*s + 23. Let v(k) = 85*k**2 + 8*k + 13. Let z(m) = 7*v(m) - 4*x(m). What is -o(r) + z(r)?\nAnswer: 20*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcca when four letters picked without replacement from {c: 2, k: 1, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:28 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-381)\/(-3 - 0). Suppose i = 5*n - 38. What is the highest common factor of n and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 238\/18 + (-24)\/108. Let t(r) = r**3 - 13*r**2 - r + 18. Let q be t(u). Let n(s) = -s**2 + 6*s + 6. Determine n(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 477 = 4*v - 8*v, 0 = -3*v - 9. Let k = x - 232. Is (-1 + 3)\/2*k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21632\/165 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544728 is divided by 165.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 p when four letters picked without replacement from uppepzupuezeez.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - -5) + (4 - (9 - -1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*g - 3*l, 12*l = 9*l + 15 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (556*w**2 + 194*w**2 + 248*w**2)*(-3*w - 4 + 4).\nAnswer: -2994*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8192.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 21*w**2 + 652*w + 655. Determine b(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 624369?\nAnswer: 149848560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -8)\/(-2 + (-27)\/(-14)). Let x = 32 - f. Solve 0 = -4*n - 2 + 22, 0 = -x*d - n + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/134 and ((-18)\/96)\/3 - -1.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-47)\/n)*(n\/(n\/n**4))\/n*((n*(n\/n**(-2\/19))\/n)\/n*n)**(12\/5) assuming n is positive.\nAnswer: n**(5097\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -349, -698, -1047?\n\"Answer: -349*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 534938295 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.148 * -0.15.\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*z + 19, 0 = -4*z + 47*c - 49*c + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 + -44 - (2 - 8)) + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -6. Suppose 3*x = 4*x - 9. Let f = -9 + x. Solve f*i + 4*i + q = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -442826582*j*w**3 + 6*w**3 - 1266*w**2 + 4*w - 692 wrt j.\nAnswer: -442826582*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 106*l**3 + 38*l**3 - l**4 + 33 + 38*l**3 + 32*l**3 - 9*l**2 to the form b*l**3 + q*l**2 + j*l**4 + o*l + m and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/22 and 139\/1860.\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - h - 1)*(-2*h**2 + 2*h**2 - h**3) - 9*h**4 + 4*h**4 - 8*h**4 - h**4 - 2*h**4 + h**4 in the form b*h**3 + y*h**4 + n*h + i + r*h**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 1:19 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1790168633 minus 1?\nAnswer: 3.1790168633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2101001222102 (base 3) to base 11\nAnswer: -791584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 7*x - 6. Give z(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60848 or -60845?\nAnswer: -60845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n. Let f(i) = -15*i. Let v(l) = -6*f(l) + 10*m(l). Let z = -11 + 13. Let w(t) = z*t**2 - 19*t**2 + 5*t**2 + 9*t**2. Give v(w(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 + -0.08. Let g = -0.13 + t. Let q = -0.0553 - -3.0553. What is the nearest to 0.07 in q, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1280322\/240 + (-2)\/(-10). Let t = 5328 - g. What is the common denominator of t and 69\/58?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 117, 116, 113, 108, 101, 92, 81?\n\"Answer: -b**2 + 2*b + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 12:55 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (199 + -8)\/(9\/(-2) - -4). Is -379 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 6. Let u(k) = -4*k**2 - 12*k - 10. Let j(v) = -7*v**2 - 23*v - 20. Let b(p) = 3*j(p) - 5*u(p). Let t be b(-7). Sort 1, q, t.\nAnswer: q, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 + -478 + (-23 - -167)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyiyiqyyiidiiyiydys. What is prob of picking 1 d, 1 q, and 1 i?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 + 10639*q\/4 - 5319\/2.\nAnswer: -(q - 10638)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32890\/(-770) - (-4)\/(-14). Sort -6, m, 5 in ascending order.\nAnswer: m, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33787775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.373 + 0.023. Let m = -0.4012 - x. Round m to 3 dps.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m*v**4 + 21*m*v**2 + 2*m*v - 5*m + 56757*v**3 + 2*v**2 + 22*v wrt v.\nAnswer: 24*m*v + 340542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8246 + 12188. List the prime factors of t.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15600 - -30991. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17969960 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)\/(0 - -1). Let v be -134 - n*2\/2. Let a = v + 673\/5. Is 1\/3 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 4*w**2 + 4*w. Let c be k(3). Let s(f) = -f**2 - f + 1. Let b(q) = -q**3 + 7*q**2 + q + 1. Let y(h) = -b(h) - 3*s(h). What is y(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 904?\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, s: 6, y: 3, q: 3, p: 2}. Give prob of picking 1 p, 1 f, and 1 y.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 15, 3, -19 in ascending order.\nAnswer: -19, -5, 3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -1459548615958.\nAnswer: -1459548615957.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 6*y - 5. Let t = -66 - -72. Give f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 8*r**2 - 6*r - 6. Suppose 303 - 7 = -4*f. Let u = -67 - f. Calculate d(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38b09 + -8c?\nAnswer: 38a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:01 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 21 = 3. Let t(w) = -w**3 - 7*w**2 - 6*w + 4. Let l be t(r). Find the third derivative of 6 - 2*v**2 - 6 - v**l wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z + 158. Calculate a(0).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 830.\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -29*(-5)\/(2 - 1). Let r = -95 + b. Suppose 8*d = 3*d + r. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 432. Suppose 6*c = c - 1565. Let a = b - c. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -1\/4 (c) 3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 - -71. Let p = -15 - i. Let u = p + -19. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*s + 324*s**4 - 135*s**2 - 18*s + 9*s**5 - 143*s**3 + 87*s**5 - 130*s**3 = 0. What is s?\nAnswer: -4, -1\/4, -1\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) - (3 - -1). Which is the second biggest value? (a) 0 (b) -1\/11 (c) 2\/13 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59689 or 59688?\nAnswer: 59689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -188, -437, -786, -1235?\nAnswer: -1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -79488385 and -0.03304.\nAnswer: -79488385.03304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)*m\/m**(-6\/5)*((m**(-5\/12)\/m)\/m)\/(m\/m**(-24\/11)) assuming m is positive.\nAnswer: m**(-9503\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 5*o**2 + 6*o**2 to the form k*o**2 + i + p*o and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -15*p + 11. What is the tens digit of b(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 10 = p. Let j = 42 + p. List the prime factors of j.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11384 + -7.9502199.\nAnswer: 11376.0497801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/27*(-2)\/(-1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166412 - -5?\nAnswer: -166404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708684571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3256 + 2957. Is x a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -v - 160. Are v and -89 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -28*x**3 + 7*x**2 + 7. Let c(b) = -14*b**3 + 3*b**2 + 3. Let m = -2584 - -1683. Let k = m - -894. Give k*c(u) + 3*t(u).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4197837, 4197839, 4197841, 4197843, 4197845?\nAnswer: 4197847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 309 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1205\/1588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -15302, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = -57*x + 9*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*n + 2478153, 2*n = 4*n - 4*a - 1652102. Let f = -7126051 + n. What is f rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102011 (base 3) to base 15.\nAnswer: 48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 272.05 - 272. Suppose -18 = -v - 2*i, 2*v + v - 3*i = 18. Let s be v\/25 - (-16)\/(-90). What is the closest to s in o, 0.5, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:08 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4*d*d\/(d\/(d**(-2\/3)\/d))*d)\/(d**(-1\/11)*d*d*d\/(d**(-5)\/d)*d))\/(d**(1\/3)*d**(-4\/5)*d*d)**(-3) assuming d is positive.\nAnswer: d**(-161\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from {i: 4, l: 14}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3 = -4*b, 2*s = -2*b + 4*s + 12. Suppose 4*l - b*a = -84 + 1135, -3*a = -l + 274. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.49 times 25654\nAnswer: -63878.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aou when three letters picked without replacement from onoanouaoaaaa?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 1)*(-5*v**4 + 2*v**4 - v**4).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6186603901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqyu when four letters picked without replacement from onyuqtq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*h**2 - 4*h**2 + 3*h**2)*(0 + 2 - 4) - 5*h**2 - 2*h**2 + 3*h**2 + 0*h**2 + 0*h**2 - h**2)*(-h - 4*h + 4*h) + (-h**2 - 3*h + 3*h)*(-h + 0*h - h).\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -235889, -235888, -235889, -235892, -235897?\n\"Answer: -c**2 + 4*c - 235892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.032*-2.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-4*(-3)\/6 - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*h + 22, 4*h - 20 = p + p. Factor -q**3 + 0*q**h + 4 - 4.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 11144476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/21*(-7)\/(-2). Suppose 5*p + 2*l + 1 = y*p, 0 = -4*l - 20. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2324 (base 5) to base 13\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = 4*a, 1 = 2*a + 5*l - 14. Suppose a = 2*s - 4*s + 8. Suppose -4*g - s*x = 0, -g - 2*g = -3*x - 6. 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 100.2234l in millilitres?\nAnswer: 100223.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from aaaccc?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405 a factor of 187795181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.7 - 41.7. Let u = 23 + w. Which is the second smallest value? (a) u (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057237777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -389\/912 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27992*r**2 - 4 + 53395*r**2 + 316010*r**2 + 4.\nAnswer: 397397*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0 (c) -2\/15 (d) 1541\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.72 - -4.62. Let m = k + -4. Let z = -2523 + 2524. Which is the nearest to z? (a) -3\/7 (b) 13 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-9)\/6*24\/(-9) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 + r + 2. Let n be l(-2). Suppose -3*p - n = -4*w, w + 14 = -4*p + 1. Sort w, -4, -1 in ascending order.\nAnswer: -4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 3*j**2\/2 + 4460. Let s(i) = -4159*i**2. What is s(n(w))?\nAnswer: -37431*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 2 = -156. Let n(c) = 39*c + 1. What is the remainder when n(1) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p - 49*p = -804 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 480\/34 + 6\/(-51). Find the second derivative of -b*x**4 + 3*x + 4*x**4 - 10*x wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 81*k + 5. Let n(q) = 238*q + 14. Determine 6*n(a) - 17*p(a).\nAnswer: 51*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and 1053.\nAnswer: -179.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*sqrt(22)\/(-3*sqrt(242)).\nAnswer: 20*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/3, 1164, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -46, -3 in descending order.\nAnswer: -3, -46, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-741)\/(-988))\/((-3)\/60)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 d when three letters picked without replacement from {d: 1, a: 1, s: 2, t: 1, u: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -109, -234, -409?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 80, -672, -2258, -4678, -7932, -12020?\n\"Answer: -417*z**2 + 499*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*o - 2 = 0, 4*w - 2*o = 6 - 18. Let j be (27\/(-12))\/(6\/w). Which is the biggest value? (a) j (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 705, 1591, 2833, 4431, 6385, 8695?\nAnswer: 11361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/622 and 73\/42?\nAnswer: 13062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 a when four letters picked without replacement from {i: 1, u: 5, q: 3, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520332445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 6212.\nAnswer: 5\/1553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 3*t - 89 + 39, 29*p + 58 = -3*t - 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1854 + -1466. What is the least common multiple of y and 4?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81145*c - 7 + 11 + 6 - 10.\nAnswer: 81145*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o. Let g(m) = 4*m - 7. Let t(a) = -g(a) + 2*v(a). Let y be t(5). Let j = y - -1. Let h(b) = -b**3 - 2*b**2 + b + 2. Determine h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 14 = 58*l - 63*l - 16 - 18, -15 = 3*k + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - 52. Let l be o\/(-18) + (-4)\/(-6). Suppose -5*x + 0 = -l. What is the closest to 0.1 in x, -1, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4509*p - 4041*p - 20124 = 0 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -679026 by 226342.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r + 21 = 5*s, -s = -2*r + 3. Suppose 0 = 2*j - 3 - s. Sort j, -3, 2.\nAnswer: -3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -142, -544, -1264, -2302, -3658, -5332?\n\"Answer: -159*j**2 + 75*j - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172*(-9)\/12*(-1)\/((-90)\/(-30))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10*c. Let p(b) be the second derivative of 0*b**2 + 0*b**3 + 0 + 19*b + 1\/12*b**4. Determine p(y(g)).\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 38*v + 26. Let g be f(-5). Let z = g - -287. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869418 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9710\/9 - -1080. Let w(m) = 2*m**3 - m**2 - m + 2. Let r be w(1). Let f be r\/(-8)*(-12)\/18*12. Is f greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -11. Let y = 3 - d. What is the third smallest value in y, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1000844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-264)\/30 - -9)*-1 + 0\/(-6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1212 (base 3) to base 5\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {n: 1, x: 2, k: 5, s: 1, h: 6, q: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1284*v + 3825. Determine o(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1394*i**2 + 2 + 1410*i**2 - 4176*i**2 + 1438*i**2. Let s(o) = -3*o. Give y(s(d)).\nAnswer: 594*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 = 5*q, y = 3*q + 4 + 5. What is the second derivative of 6*c - y*c**4 + 0*c - 10*c wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 12*a**2 + a - 84. What is the units digit of g(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-48) - 47\/(-8). Solve b*s - 3 = 3*s, a - 4*s + 7 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o. Let s be (-3)\/(-6)*o\/(-2). Suppose -4*y - 24 = z + z, s = -2*y + 10. What is z rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28919767 times 1\nAnswer: 28919767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, o: 2}. What is prob of picking 1 o and 1 a?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -689 + 688.7. Which is the biggest value? (a) y (b) 1 (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**(-14))))\/(v*v**(-6)*v))**(-3)\/((v\/v**(1\/15)*v)\/(v\/v**2)*v**7*v*v\/v**(-4\/7)) assuming v is positive.\nAnswer: v**(-7298\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9483.37 kilograms?\nAnswer: 9483370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -972386 (base 10) to base 8.\nAnswer: -3553142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 2*o**3 + o**3 + (1 - 1 + o)*(-o**2 + 2*o**2 + 0*o**2) + (-1 + 3 + 1)*(0*o + 3*o**2 + 0*o)*(-o - 5*o - o).\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p**3 + 2*p - 2*p - 17*p**3 + 60*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:17 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 6, -40 in descending order.\nAnswer: 6, 3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x - 4. Let c be w(4). Let r = c + -20. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-42)\/(-15)*45\/270*210?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100112.92 - -218\nAnswer: 100330.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 3905 - 11706 - 10*s + 3906 + 3900 + 5*s.\nAnswer: 3*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60268*f - 60268*f + 8 - 72*f**2 to t + r*f + g*f**2 and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**4 + 5244491*z**3 + 207483*z**2 - z - 4 wrt z?\nAnswer: -24*z + 31466946","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 47. Give h(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.2 - 0.8. Let z = -10.92 - 0.08. Let u = z - h. What is the third biggest value in u, 1, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 1\/3*d**3 + 0*d**2 + 1\/6*d**4 - 12*d + 0. Find the second derivative of a(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnmnmnmnegmogomm. Give prob of picking 1 o and 2 m.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 = 16. What is the lowest common multiple of n and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 33, -4, -5, 20, 13 in decreasing order.\nAnswer: 33, 20, 13, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 71 + 2*(-6)\/(-4) + 42\/(-7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64578l in millilitres?\nAnswer: 645.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14471 + 229.\nAnswer: -14242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:04 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 11*u**6\/30 - 5*u**4\/12 + 274*u**3\/3 - 34*u - 3. Find the second derivative of p(k) wrt k.\nAnswer: 132*k**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 5*a + a)*(3 - 3 - 3*a**2).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27772 - 246628 = 7*f. Round f to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106842?\nAnswer: 2, 1053421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-1728)\/(-4))\/4)\/1 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 828 and 930258.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.884462um in millimeters?\nAnswer: 0.002884462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w + 13. Let m(k) = -6*k + 7. Let q(z) = -5*m(z) + 3*x(z). Let s(h) = -2*h + 4. Suppose -51*r + 60*r = -36. Give r*q(y) + 5*s(y).\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 337, 395, 455, 517, 581?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 4*d**2 - 4*d**2 - 668*d + 0*d**2 + 786*d as g*d + o*d**2 + v and give g.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260521974 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Let l be (q\/(-2))\/(3\/(-24)). Calculate the highest common divisor of 16 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 + 3*q + 5\/3*q**2.\nAnswer: (q + 2)*(5*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 34*u + 1687. Let k be o(0). Solve -1692*y - 5 = -k*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 6*b**4 + 86*b**3 + 378*b**2 + 330*b - 800 = 0.\nAnswer: -16\/3, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 29 = -4*w. Which is the closest to 0? (a) w (b) -3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/86, -2\/9, 2\/7, 883 in increasing order.\nAnswer: -2\/9, 1\/86, 2\/7, 883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 316082 (base 15) to base 10\nAnswer: 2349122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-7\/2)))\/(x\/(x*x**(31\/3)*x)) assuming x is positive.\nAnswer: x**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36600 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5 - 1 + n + 5. Let g(h) = -h**2 - h + 1. Let b(r) = -2*g(r) - 2*z(r). Let l(y) = y**2. What is l(b(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/120 - j**5\/30 + j**4\/24 + j**3\/6 - j**2. Let b be i(-2). Let t = 245\/4 + -61. Which is bigger: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -4, 2, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 318.65 - 318.7. What is the nearest to -0.2 in 27, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/110 - (-1)\/2. What is the closest to -1\/3 in -0.3, -5, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 9*v - 12. Let y be j(-7). Solve 3*o + y*o = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 3*a**2 + 7. Suppose 0 = -16*o + 17*o + 3. Let v(u) = u**2 + u. Let m(r) = o*v(r) + d(r). Let y = 9 - 14. Determine m(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2492593 is divided by 389.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 246092814.1 rounded to the nearest one hundred thousand?\nAnswer: 246100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from tbybbby?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.33 - 33.33. Let x be (76\/21 - 3) + 2\/(-6). What is the nearest to w in x, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28177, 28666, 29481, 30622, 32089, 33882?\n\"Answer: 163*q**2 + 28014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1427304*a**2 + 30*a + 580*a**3 + 690*a**3 - 1427303*a**2 - 2 + 0 wrt a.\nAnswer: 7620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -11, -52, -119, -218, -355, -536?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, i: 2, s: 5, h: 7}. What is prob of picking 2 u and 1 s?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*6\/4 + 2)*0. Suppose -4*s = -12, 3*x - 5*x - 2*s + 322 = n. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 3*y + 3. Let r be w(-2). Suppose -r = -t - 3. Solve 0 = -2*k + 2*l + 10, 5*k = -l + 5 + t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*q - 157*q - 26334 = -315*q - 71*q for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/54)\/((-22)\/(-99)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 7.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(3 - 3 - 2)*(24*a**3 - 6*a**3 + 7*a**3) - 2*a**3 + 2*a**3 - 2*a**3 to s + m*a**2 + n*a**3 + x*a and give n.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9.5, 7, 0.0175 in descending order.\nAnswer: 9.5, 7, 0.0175, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 159776277*-4\nAnswer: -639105108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1517619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-6 - (2 + 0 - ((-15 - -15) + 6))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281\/10 + -28. What is the nearest to -0.06 in i, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + (sqrt(325) - (sqrt(325)*2)**2)*6.\nAnswer: -7800 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 19*a**2 + 2. Let r(v) = 4*v**3 - 40*v**2 - v - 4. Let w(m) = -7*k(m) - 3*r(m). Give w(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30264129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*r + 5*l, -2*r - 4 = -2*l + 2. Let p be ((-4)\/6)\/(r\/18). Solve p*t = -t - 12, 4*z + t - 13 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244400 divided by -940\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 720*f + 25920.\nAnswer: 5*(f - 72)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - i**2 + i**2 + (2*i**2 - 3*i**2 + 3*i**2)*(-i**3 + i**3 + i**3)*(33 + 79 - 7).\nAnswer: 211*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54*k + 25*k + 26*k)*(-k + 0*k - 3*k)*(3 - 3 + 2) to the form u*k + y + n*k**2 and give n.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115 + -1.2584.\nAnswer: -116.2584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 360.44 + -359.94. What is the fifth biggest value in 5, 13, w, -18, 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6453 + -6455. Let i = -8 + 29\/4. What is the nearest to h in -2\/15, i, 4, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.134, 20\/241?\nAnswer: 20\/241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 146 = x, 3*o - 5*x - 230 = -2*o. Let f = o - 50. Suppose 5*j + 20 = f, -4*j - 18 = -3*z + 1. Are 1 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 112 (c) -1 (d) 36 (e) 0.26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, c: 1, r: 3, p: 3, b: 1}. What is prob of picking 1 c, 1 k, 1 b, and 1 r?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1186404 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -25047*m. Let f(p) = -3*p + 981. Give l(f(v)).\nAnswer: 75141*v - 24571107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7974524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 3. Let g(c) = -22*c - 34. Let x(w) = 6*g(w) + 68*m(w). Let d(f) = 7*f. Let h(l) = 6*d(l) - 11*x(l). Let b(n) = n**2. What is h(b(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 53*38\/114.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*z + 283*z + 250 = 0. Let i(g) be the first derivative of -1\/5*g**5 + 19 + 1\/2*g**4 - g**z + 1\/3*g**3 + 0*g. What is l in i(l) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 + 1088 + 100 = 35*s + 109 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.58 + 1.42. Let u = -2.92 + 0.22. Let k = u + 3. Which is the third smallest value? (a) -0.3 (b) s (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -20*l + 17. Let d(u) = 7*u - 6. Suppose 0 = v - 6*v. Suppose -3*s + 9 + 42 = v. Let n(q) = s*d(q) + 6*i(q). Let c(h) = -14*h. Give n(c(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 6 - 53*g + 21 in the form s*g + k and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47912136.\nAnswer: 2, 3, 277, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 100, -3, -13, 6 in increasing order.\nAnswer: -13, -3, -1, 6, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58 + 75 - 3*p**3 - 14*p**4 + 6*p**2 - 131 to y*p**4 + q*p**2 + x*p + j*p**3 + w and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34243 (base 5) in base 12?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185366852 + -185366903.0000092. Let l = x + 51. Round l to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0, -0.3, -13\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 - 5 = 0. Suppose -4*u + 0*u + 120 = -m, -167 = -y*u - 3*m. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -76, -165, -280, -433, -636, -901, -1240, -1665?\n\"Answer: -2*d**3 - d**2 - 72*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -263.8.\nAnswer: 4220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 129310792*1\nAnswer: 129310792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 8*q = 22. Suppose -5*w + q = -2*u + u, 2*u + w = 29. Calculate the remainder when 302\/8 + (-1)\/(-4) is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65538547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4700.9999992482 - 4701. Round i to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -173, 4, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 506510000 rounded to the nearest 1000000?\nAnswer: 507000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98219182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.97 - -2. Let l = -4.97 - h. Which is the nearest to 1? (a) 1\/6 (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 6 - 3)*(1 + 1 + 3) + 1 + 2 - 2 - 1 + 1 - 1 + 0 + 4 - 5 + (1 - 3 + 3)*(-2 + 0 + 3) - 1 + 2 - 3 - 1 + 1 + 1 - 2 - 2 + 3)*(x**2 - 5*x**2 + 3*x**2).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.064 + -5.064. Suppose -4*f = d + 2, 5*d + 2 = -8. Let r = 0.72 + 0.28. Which is the nearest to r? (a) 4 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46, -47, -48, -49?\n\"Answer: -b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*s + 136*s - 5388 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 80. Suppose -3*b - 2*s + 252 = s, g*b - s = 177. What are the prime factors of b?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-19)\/((-3420)\/(-297))*(-28)\/6 and (-1 + 498\/9)\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.303*-627.15.\nAnswer: -2698.62645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*h + 162*h. Let u(y) = y + 14. Let s be u(10). Sort s, -2, h in decreasing order.\nAnswer: s, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011000 (base 2) to base 4.\nAnswer: 100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by -25?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 0.12?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((78\/(-36))\/13). Calculate the lowest common multiple of 10 and -5 + (d - -2) + 4 + 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133*x**5 - 2*x**4 + 13*x**3 - 3421*x**2 + x - 1.\nAnswer: 7980*x**2 - 48*x + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l. Let w(m) = 40 + m + 164*m**2 - 18 - 337*m**2 - 20 + 163*m**2. Give d(g) + w(g).\nAnswer: -11*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 947257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g + 6 = 4*m, 3*g - m = 6. Let x be g\/(-6)*2\/1. Let v(a) = -2*a + 3. Let w(q) = -1. Determine x*v(y) - 2*w(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + -3 + -5*(1 + sqrt(720)) + sqrt(720) + sqrt(720) + 1 + -5)**2 + 0).\nAnswer: -6624 - 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, -3, 23, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 341\/6521 or 0?\nAnswer: 341\/6521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(((-252)\/(-48))\/21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2797 + 2787 + (-14 + -2 - -3 - 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3) + 0 + 5 + sqrt(3))*4.\nAnswer: 12 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q - 55. Let k be f(5). Let r be (1 + -2)\/(1\/k). Solve 0 = r*c - 6 - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -0.35. Let c be (-3748)\/24*4\/(-114). Let o = -102\/19 + c. Sort i, 24, o.\nAnswer: o, i, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -37. Let q be (-5)\/(k\/6) - (-2 - -117). Let f be 4 + -2 + 0 - q\/(-54). Is f less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v + 2328 - 267 = -86*v - 86 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 13*b - 67. What are the prime factors of a(11)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/3)\/(528\/(-4320)*20)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 4, 91, -3, 5, 0, 1 in increasing order.\nAnswer: -3, 0, 1, 4, 5, 39, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173027 - 173043. Suppose 5*q - 4 = 2*q + 2*x, 2*x = -4. Sort 2, q, h in increasing order.\nAnswer: h, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y. Let t(o) be the third derivative of -o**7\/504 + 31*o**5\/15 - 9*o**2 + 3. Let q(u) be the third derivative of t(u). What is q(c(m))?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.5 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.7 - -47.7. Let g = 40.15 - x. What is g rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -643 (base 15) to base 11.\nAnswer: -1075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -284239285*u**3 - 441462029*u**2?\nAnswer: -1705435710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 0)*(-p + 0*p + 0*p - 2*p + 3*p + 0*p + (0*p + 2*p + 0*p)*(-1 - 1 + 1)) + 5950*p - 2375*p + 682*p in the form l + d*p and give d.\nAnswer: 4263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 23*u**2 + 20*u + 8. Let g(z) = -8*z**2 - 7*z - 3. Let p(t) = 11*g(t) + 4*m(t). Is p(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j)**(-5\/7) assuming j is positive.\nAnswer: j**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h + 9. Let c = -609 - -607. Determine f(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 4 - 31 = 0. Let r = 0 + 0.1. Let m = r - 0.3. Which is the smallest value? (a) 2 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -505*t - 28. Let y be k(-2). Suppose 2*n = 5*x - y - 619, x - 316 = -n. What are the prime factors of x?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -145*g**9\/84 - g**8\/336 + g**5\/3 - 7*g**4\/24 - 7*g**3\/6 - 401*g**2 + 2. What is the third derivative of b(o) wrt o?\nAnswer: -104400*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*i - 1992 = -38*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from boobbtbtt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22003\/1171105 + 1\/5447. Let k = q - 82\/18705. Which is the third smallest value? (a) 1\/4 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33750642.\nAnswer: 2, 3, 1123, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546365174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 103, 110, 121, 136, 155?\n\"Answer: 2*r**2 + r + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-5)\/(-15) - -21. Suppose 0 = r*k + 4389 - 45318. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(300))*-4 + (sqrt(1200) + 2)*-6.\nAnswer: -40*sqrt(3) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -87375674.7 to the nearest one hundred thousand.\nAnswer: -87400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 24. Let h = n - -30. Calculate the highest common divisor of h and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 14*k**2\/9 - 16*k\/9.\nAnswer: 2*k*(k - 8)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 1*(-6 - -3). Suppose o + 95 = f*o. Calculate the remainder when 37 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 430.569 to 0 dps.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 8, -9, -42, -97, -180?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23068 is divided by 519?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -4 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/81 + (-128)\/9. Let u = 8 + i. Let n be ((-4)\/3)\/(4\/u). Solve b = 2*b - n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(4\/3)))\/o)\/o**(1\/3)*(o*o**3)\/(o\/o**(-5)) assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**3 + 25*x**2 + 70*x = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 0*z**2 + z**2 - 3 + (-z**2 + 3*z**2 - 4*z**2)*(5 - 3 + 0).\nAnswer: -3*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-645)\/(-50) - (55\/(-50))\/11. Suppose t*k - 280 = -k. Calculate the greatest common factor of 30 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003244890976 rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 190891*g\/2 + 190892.\nAnswer: -(g - 2)*(g + 381784)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*s**4 - s**5 + 89*s**3 + 0*s - 68*s**3 + 2791*s**2 - 20*s - 2810*s**2.\nAnswer: -s*(s - 20)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 4*j + 2. Let o be p(-4). Let v(a) = -a**2 + 3*a + 12. Let t be v(5). Find the third derivative of 2*r**3 - 5*r**3 - 5*r**o + 3*r**t wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:40 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53444.3 - 4.\nAnswer: -53448.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 130588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -46*l + 966. What is d(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t + 3. Suppose -4*r - 5*w = -11, -9*r - 2*w + 6 = -7*r. Let c(f) = -2. Determine r*j(m) + 7*c(m).\nAnswer: 4*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 4 + 0*i + 0. What is the remainder when 5 is divided by u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {u: 2, o: 1, j: 4, e: 1, d: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 20. Let g be k(7). Suppose -g*f = -869 - 132. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3407824?\nAnswer: 2, 7, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 202330 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/27)\/(-4))\/(4\/12).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -16*d + 79. Let b(f) = -35*f + 163. What is 3*b(j) - 7*l(j)?\nAnswer: 7*j - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3908, -7819, -11732, -15647, -19564?\n\"Answer: -o**2 - 3908*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153447 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/215, 0.4, 2\/11, 2, 5\/3 in decreasing order.\nAnswer: 2, 5\/3, 0.4, 2\/11, 2\/215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -108203.633.\nAnswer: -108203.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000174786856 to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-807\nAnswer: 72.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*w - 45 = 0, 0 = -5*p - 3*w - 9 + 137. Suppose -14*c + 9*c = -p. Let a = 8 - 4. Solve c*s + a*u + 18 = 5*u, -2*s = 5*u + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*d. Suppose d = -4*q + 5 - 1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 + 51*i + 49. Let j(c) = -8*c**2 - 53*c - 47. What is 6*j(x) + 7*r(x)?\nAnswer: x**2 + 39*x + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7960113, 7960092, 7960071, 7960050, 7960029, 7960008?\nAnswer: 7959987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 7, -0.23, 40, -0.1 in decreasing order.\nAnswer: 40, 7, 0.2, -0.1, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v + 29. Let s(f) = -f + 10. Let k(p) = 4*j(p) - 11*s(p). Let t be k(-6). Suppose 54 = 4*m + 6. What is the greatest common divisor of m and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1 + 0*h - 1 + 16*h. Let q(b) be the third derivative of b**5\/120 + 7*b**3\/6 - b**2. Let i(n) be the first derivative of q(n). What is m(i(x))?\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, v: 1}. What is prob of sequence ff?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3) + 6\/9. Let t be b\/28 - 3\/(-7). Factor -1\/2*r**2 - t*r + 1.\nAnswer: -(r - 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1545 and -0.4?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/64 + (-3)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*p**5 - 13*p**5 - 7*p**5 - 6*p**2 wrt p.\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 + -42?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/(-12))\/(2\/(-8)). Suppose k*y - 3*i - 792 = 0, -y - 3*i = y - 300. List the prime factors of 3\/(-5) + y\/10.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**3 + 167331*b**2 - 48*b + 5845?\nAnswer: 30*b + 334662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 7}. What is prob of sequence yuu?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 (base 9) in base 6?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 22*c + 1. Let a(v) = 5*v. What is a(z(n))?\nAnswer: 110*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 24 - 6. Let t(f) = -4*f**2 + 6*f + 4. Let q be 230\/69 - 2\/6. Let v(h) = 16837*h**2 - 2*h - 3 - q*h - 16834*h**2. Give z*v(r) + 5*t(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 2 = -15*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/25)\/((11*(-72)\/1320)\/((-3)\/34))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 11*t**2 + 5*t + 6. Give h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g**2 - 14658*g = 0. Calculate g.\nAnswer: -4886\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*l**3 - 1410*l**2 + 2*l - 27072.\nAnswer: 606*l - 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.98 - -0.02. What is the fourth smallest value in 3\/5, 0, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1106 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7656036 and 10?\nAnswer: 7656026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 1150910 = -v, 2*v = -5*l + 1150910. Suppose -2*x + l = 44182. What is x rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35418 is divided by 7897?\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 2*h**2 - h. Let s be w(1). Suppose -a = s*c - 139, a + 77 = 2*c - 72. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.262138 to 2 decimal places.\nAnswer: -26.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efe when three letters picked without replacement from feefgfeefefgeee?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -16 - -2) + (-64 - 20 - -119)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -16, 10*s - 6*s - z + 16 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/4 in 2, -0.12, 0.5, 117\/7?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 9*i - i. Factor 6*t - 5*t**i + 3*t - 5*t**2 + 5 - 4*t.\nAnswer: -5*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 788*l - 1586*l + 796*l. Let q(g) = 545 - 545 - 38*g**2. Calculate n(q(h)).\nAnswer: 76*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4352, -4374, -4394, -4412, -4428, -4442?\n\"Answer: q**2 - 25*q - 4328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -44. Factor -4*n**3 + n**m - 6*n - 4*n**2 - 5*n**2.\nAnswer: -3*n*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 1\/51*o**6 - 7\/34*o**4 + 0*o - 26 - 10\/17*o**3 + 18\/17*o**2 + 6\/85*o**5. Find d, given that u(d) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0458 + -2334.3.\nAnswer: -2334.3458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 44*o**2 + 2*o**2)*(1 - 1 + 5).\nAnswer: 225*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyccxncxnnckynxnncnx. What is prob of sequence nnn?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 10*p + 6. Determine y(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -5, -10557, -2, -4.\nAnswer: -10557, -5, -4, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmgfgfmcg. What is prob of picking 1 m, 2 f, and 1 g?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -35856917.3 plus -474?\nAnswer: -35857391.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*s - 976, -23*s = -34*k - 22*s + 8296. Calculate the remainder when 1687 is divided by k.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 43\/2. Let s(v) = 2*v - 12. Let m be s(8). Let u be m\/(-6) - (-8 - 273\/(-36)). Which is the closest to -5? (a) -0.2 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - l**2 - 2*l**2 + (l + 5*l - 5*l)*(0 + 2*l + 0) + (-4*l**2 + l**2 + 5*l**2)*(-286 - 97 - 60) in the form k + m*l + n*l**2 and give n.\nAnswer: -885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b**3 + 2*b**2 + b + 3. Let a(g) = -11*g**3 + 2*g**2 + g + 4. Let k(y) = 3*a(y) - 4*n(y). What is k(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1595*s**3 + 1524.\nAnswer: -4785*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 22 = q, 3*q - 2 = -5*t - 33 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81474.9 smaller than 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11396323?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27255 to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 78*b**3 - b + 49 - 1489 - 2*b**2.\nAnswer: 78*b**3 + 4*b**2 - b - 1440","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -2\/5, 4, -0.3, 0.1.\nAnswer: -2\/5, -0.3, -0.09, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29287321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -25, -45, -69, -97?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.704 and 194556.\nAnswer: 136967.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let r = -3209 + 3233. Suppose i - 40 - r = f. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 divided by 19?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/12 and 33\/424?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(10)\/sqrt(2)) + 1*(sqrt(57)\/sqrt(3))**2.\nAnswer: sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20212*v**2 + 81*v**3 - 78*v**3 + 23438*v**2 - 89*v**3 - 82*v**3 wrt v.\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (93\/9)\/(117\/9828). Solve 8*q - 924 + k = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Suppose t = -a - 4*n + 7, -2 = -2*a + 5*n - 1. Suppose 4 + 5 = a*v. What is the remainder when 5 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457 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 y = 2 - -1. Let g be (-4 - 2)*y\/(-2). Suppose p + 3*q = -9, 6*p + 38 = 9*p - 4*q. Calculate the highest common divisor of g and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14945331*v**2 + 12855558 wrt v?\nAnswer: 29890662*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 131.946 and 1.41 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i + 6 - 4*i + 14*i. Suppose 0 = 5*v - 2*v - v. Does 3 divide l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123057 and 43731?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (-5 - -59) + -3 + 12. Let a = 54 + -26. What is the greatest common divisor of a and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {f: 1, d: 1, m: 4, x: 2, w: 2, s: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(102) - sqrt(102)*1*-2)\/(sqrt(72)\/(sqrt(36)\/sqrt(3))*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32031 is divided by 302?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vooudexd. What is prob of sequence evx?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -69, -2, 3, 3\/5, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyyyyyyyyryyyyyyy?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-21) + (-5194)\/7889.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319, 442, 365, 88, -389, -1066, -1943?\nAnswer: -3020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4158 - -0.0158. Let s = -26 + 236\/9. Let i = -24 + 26. Which is the closest to i? (a) s (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1565, -3131, -4701, -6275, -7853, -9435, -11021?\n\"Answer: -2*d**2 - 1560*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 5)*(-31*f**2 + 24*f**3 + 31*f**2) + 0*f**3 + 3*f**3 + f**3 to l + s*f**2 + o*f + i*f**3 and give i.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -72\/7 (c) 2\/7 (d) -25\/4 (e) -1514\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**3 + 2*w**2 + 7*w. Let r(f) = 16*f**3 - 5*f**2 - 15*f. Let l(m) = 2*r(m) + 5*v(m). What is the second derivative of l(c) wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(12) + ((sqrt(12) - sqrt(588))*-3 - sqrt(12)))\/(-2*sqrt(150)) + 2).\nAnswer: -12 + 54*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 1 - 103 = 0. Solve -5*c = 5*t + 10, c = -4*t - 30 + m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/130)\/(10\/(-25)). Is -0.1 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 4. Calculate the remainder when 2\/(-8) + (-720)\/(-64) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183 - -171.86. Let o = 11 + j. Let p = o - -0.1345. Round p to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 - 3 + 7 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 2*y**2 + 3794 - 6*y**2 - 10*y + y**3 + 3*y**2 - 3786. Let l be t(4). Solve -4*b + l*u = 4*u - 8, -4*b = -4*u + 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(3 - (-170)\/(-60)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-74 + 18 + 21 - 51)*(-13*w + 247*w + 131*w) to the form l*w + h and give l.\nAnswer: -62780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 = 3*c, 3*c - 7*c + 16 = -2*a. Let p(i) = -i + 1. Let y be p(1). What is the second derivative of u - c*u**2 + 4*u**2 + y*u wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 24*v - 22. Let l be p(23). Let u be (1 + -5)*-1 + -1. Let g = -214 - -218. Solve -2*w = -g*r - l + u, -4*w = -5*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -20053117*p. Let t(z) = -z**2. Give t(w(l)).\nAnswer: -402127501415689*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233377779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 3*b**2\/2 - 2*b - 2. Let r be j(6). Solve 2*c + 2*c = r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbxkpbkii. Give prob of picking 2 b, 1 x, and 1 k.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1469, -6277, -14429, -25925, -40765?\nAnswer: -58949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49650 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3757776, 7515615, 11273468, 15031341, 18789240?\n\"Answer: z**3 + z**2 + 3757829*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 - 6*a. Let v(r) = 3*r**2 + 6*r - 12. Let h(g) = g**2 + g - 2. Suppose 530 = -5*c + 535. Let z(d) = c*v(d) - 6*h(d). Calculate z(l(w)).\nAnswer: -48*w**4 - 144*w**3 - 108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6032*-0.25.\nAnswer: -0.4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/9 (b) -4 (c) -281.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:24 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/((-70)\/7))\/((-12)\/540)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -181*g**2 + 182*g**2 + 3*g + 0*g + 2*g - 26. What are the prime factors of l(-11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9698\/(-18) - 2\/9. Let y = 3337\/6 + i. Calculate the common denominator of y and -2*(-71)\/6 - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Suppose -n*c + 30 = -6. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2. Suppose -f - 6 - 4 = -4*p, -f - 4 = -p. Let l(y) = y + y - p*y + y. Determine l(u(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence teet when four letters picked without replacement from {t: 6, m: 1, e: 7, b: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d*j**2*r - 25*d*j*r + 4*d*p**3*r + 2*d*p**2*r - d*r - 2006712*j**2*p**3*r + 89*j*p - 3 wrt j.\nAnswer: -6*d*r - 4013424*p**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from lllllllo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + j + 0)*(-2*j - 3*j + 6*j).\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -3*u. Let c = 7 - u. Let r = 0.5 + -0.5. Which is greater: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -46*g**7\/7 - 3*g**5\/5 - 8*g**3\/3 - g**2\/2 + 2048. What is the third derivative of z(v) wrt v?\nAnswer: -5520*v**3 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 3:49 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2066*k**2 + 218*k + 223. Give t(-1).\nAnswer: 2071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6483, 6, 1, 0, 4, -2 in decreasing order.\nAnswer: 6483, 6, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*h + 1 = -10, -3*h = 2*a - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1636 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 24097305?\nAnswer: 24097304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 3 - 3 - 3092457 + 3092457 + 612*c - 1 + 1 + c + 0*c + 3*c - 4*c - 2 + 2 + 2*c + (-6 + 3 + 2)*(-c + 2*c + 0*c) + c - 5*c + 2*c.\nAnswer: 610*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9683650 - -2082025676\/215. Let p = n + -952\/5. Let g = 162\/215 - p. Which is the third smallest value? (a) 0.3 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2 + 1 + 3 - 5 + (-1 + 5 - 5)*(2 - 2 - 2) + 0 - 5 + 4 - 4 - 2 + 4 - 1 + 1 - 2 - 16 - 1108 + 52)*(-b**3 + 8*b - 8*b).\nAnswer: 1074*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 11*b**2 - 25*b - 2. Let o be q(-8). Solve 0 = -o*x - 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -119*z**3 + 293*z**2 - 9. Let d(s) = s**3 + 3. Let l(j) = -3*d(j) - x(j). Find the third derivative of l(k) wrt k.\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 261425*m - 261435*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 10:23 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b**(-4))\/((b**(1\/5)*b)\/b**(-1))*(b*b**(-1\/4)*b**(-6))**(-17) assuming b is positive.\nAnswer: b**(1761\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*h**3 + 8*h**2 - 4554*h + 59 wrt h?\nAnswer: 114*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -444 + 9323\/21. What is the nearest to w in 4, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1018986 >= -1019474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2662 and 53\/1452.\nAnswer: 15972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17*c. Let u(r) = 2*r**2 - 18*r + 33. Determine z(u(s)).\nAnswer: -34*s**2 + 306*s - 561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anj when three letters picked without replacement from {j: 3, n: 2, a: 7, s: 2, z: 1, e: 3}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.137472 * 55\nAnswer: 7.56096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.1668836 months?\nAnswer: 0.0000972403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**4*q)\/(q*q\/q**(-2)*q))**(-30) assuming q is positive.\nAnswer: q**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -12*a - 13. What is the tens digit of n(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:06 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1284 and 60?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -a. Let f be a\/(-2) + 1\/(-2). Let l be (1 - -9)\/f*1. Solve -l = -5*y - 5*p, 7 = -3*y + p + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -551, -533, -503, -461, -407, -341, -263?\n\"Answer: 6*s**2 - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245*q - 58*q - 3 - 99*q - 128*q - 98*q to the form b + s*q and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/(i**6\/i))\/(i**0)**(-12))\/((i**(4\/3)*i*i**(2\/17))\/(i**(1\/4))**(-8)) assuming i is positive.\nAnswer: i**(-176\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 870 and 667?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*x = 942*x + 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*u - 10 = 0, -u - 3*u = -20. Suppose 0 = 5*k + x + 2*x - 925, -g = 5*x. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 559, 1907, 4533, 8863?\nAnswer: 15323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 9*g - 6. Let t(o) = 3*o**2 - 8*o + 5. Let j(s) = -6*f(s) - 7*t(s). Let b be 1 + (-6 - -3)*1. What is the units digit of j(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 14 = -5*f, -3*f + 4 - 8 = 4*t. Let w = f - -2. Let c(a) = 5*a**2 + 3. Let n(q) = -6*q**2 + 2 + 11*q**2 - q**2. Determine w*c(h) + 3*n(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:45 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 346957833 a multiple of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/45*(-10)\/(60\/9)*1160\/(-5104)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 6) to base 7\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2713 - -2728. What is the greatest common factor of 1095 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2612 is divided by 130.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60548291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87.4 + 85. Which is greater: q or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 19\/(-6))\/(-5 + 250\/45). Let f = 22.89 + 0.11. Let h = f - 34. Put h, w, 5 in descending order.\nAnswer: 5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**3 - 2*b - 2. Let i(k) = -3*k**3 - k - 1. Calculate 3*g(w) - 8*i(w).\nAnswer: -6*w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 875792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(425)*-3 + -4)**2 + sqrt(425) + 3*(sqrt(425) - (sqrt(425) + -2 + sqrt(425)))**2 + sqrt(425) + 3).\nAnswer: -25655 - 350*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/314 and 53\/20.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 2*i**2 - i - 4. Calculate the remainder when b(3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/55*(-836)\/(-133).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/((sqrt(24)*2 - sqrt(24))\/sqrt(6)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 163*x + 1176. Let f be i(-8). Which is the second biggest value? (a) f (b) -0.12 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -28.6. Let d = 17.37 + -0.37. Let h = d + w. Which is the closest to h? (a) 3 (b) -5\/3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 4) + 4 + 2. Suppose 5*d + 12 = -3*x, -3 = -s*x + x. Let c be -1 - (d + (-152)\/(-74)). Are 1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 5*j**2 - 13. Let y(w) = w**3 + 6*w**2 + w + 12. Let c(b) = -2*k(b) - 3*y(b). Calculate c(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - (-2)\/(-6). Let c be ((-10)\/9)\/((-80)\/(-30)). Let z = p + c. Sort 1, 0.1, z in decreasing order.\nAnswer: 1, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -d + 113. Suppose -8*g = -11*g + d. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 34 = 5391*z - 2699*z - 2696*z, -z - 10 - 13 = -4*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -8026?\nAnswer: -11\/8026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139163 is divided by 139138?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 4*i**2 - 2*i - 4. Let f be g(5). Suppose 3*r - 3*p + 2 = -19, -r - 7 = -3*p. Let o = r + f. Solve -5*u + o*u + 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q**4 + 31979*q**3 - 622454*q**2 + 783729*q - 193266 = 0. Calculate q.\nAnswer: -10737\/4, 1\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-286))\/(((-81)\/693)\/9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1729 + -1684. Solve b = 41*i + 168 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36703*y**2 + 18353*y**2 + 18354*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let n(s) = 4*s - 1. Give n(k) - 5*x(k).\nAnswer: 9*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9958 and 415938?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 56*y**2 + 4*y - 5. What is the units digit of r(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:23 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-1\/56)\/((n\/n**(-1\/6))\/n**2) assuming n is positive.\nAnswer: n**(283\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -68\/25, 3\/2, -6, -225, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + 13\/12. Let l be (-2)\/3 + 124\/(-3). Let p be ((-2)\/(-8))\/(l\/(-24)). What is the second smallest value in p, -2\/9, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/12, -2\/13, -9750, -7?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (-20 - -57)) + 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1377 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 158279 divided by 14389\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647*l + 780*l + 36653 = 1408*l - 70272 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*g**3 - 15*g - 327*g**3 + 15*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c - 61. Let b be t(-8). Let a be (-2)\/3 - 2\/(-3). Solve a = -0*n - b*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 2}. Give prob of sequence zz.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + c. Let o(v) = -v + 4 - v - v + 4*v. Suppose 5*k = x + 27 - 10, 0 = -4*k + 12. Let n be o(x). Calculate q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-91)\/(-21) - (-4 + (-516)\/18).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 + 0.06. Let o = -13 - -12.988. Let q = o + 3.012. What is the nearest to n in q, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229887264 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -9)\/(((-556)\/(-3614))\/(8\/(-78))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from oqooqooooooooq?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*(sqrt(10) + sqrt(60)\/sqrt(6)) + sqrt(10))\/(2*sqrt(242)))**2.\nAnswer: 3380\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19807 is divided by 3935.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**4 - 14*d + 12*d - d**3 - d**3 - 2 to the form g + v*d**2 + q*d**3 + t*d**4 + p*d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43745336 plus 862?\nAnswer: 43746198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49323, -98255, -147187, -196119?\n\"Answer: -48932*w - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -275429 and -1472?\nAnswer: 405431488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(39)\/sqrt(3)*-1.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 1, x: 5, z: 3}. What is prob of picking 2 z and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 96*a - 1414. What is k(13)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:13 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (11 - 5 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -244545.3 rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v - 5, -v = 3*f - 25. Let x = -100 + 99. Let q be 1\/((x\/(-40))\/(26\/8)). Calculate the highest common factor of f and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/22 and 37\/93122.\nAnswer: 1024342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 12*f**2 - 28*f - 2. Let u be q(-14). Which is the closest to -10? (a) 2 (b) -2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 v, and 1 i when four letters picked without replacement from uiviiivu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*1)**2*4.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 17*s + 26 + 33 - 128 + 32 + 30. Determine y(-4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 24*g**3 + 12*g**2 - 25*g. Does 9 divide y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7323 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - -4.97. Let m = 4.968 - z. What is m rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -227375 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2448) - ((2*sqrt(2448))**2 + sqrt(2448) + -1)) + 1.\nAnswer: -9787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (48 + 15593\/(-310)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**4 + 40720*i**3 + 9801095*i**2 + 9760370*i = 0.\nAnswer: -233, -1, 0, 8378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - -1.8. What is the second smallest value in f, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbfbsbxzxxb. Give prob of sequence fr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/4)\/(11\/(-836)). Suppose 4*z + o = 27. Let l(y) = 2*y - 2 - 3*y**2 - z - y**3 - 2*y**2 + 1. Calculate l(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25376, 50845, 76318, 101789, 127252, 152701?\n\"Answer: -u**3 + 8*u**2 + 25452*u - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4028, 4034, 4044, 4058, 4076?\n\"Answer: 2*g**2 + 4026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + 1101130130?\nAnswer: 1101130301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*((0 + 18 + 4)*(3*v - 3*v - 2*v) + 2*v - 4 + 8 + 0*v).\nAnswer: -42*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 6*m**2 + 6*m + 1. Give f(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2788 and 1564.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 64.1. Let l = -89.7 + 79.8. Let g = n + l. Which is the fourth biggest value? (a) 0.5 (b) -3 (c) -2\/5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 133.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4930 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c + c + 2*c)*(-5*c + 2*c + 2*c) - 5*c**2 + 5*c**2 - 4*c**2)*(3*c**3 - 3*c**3 - 2*c**3).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12044496 by -472.\nAnswer: 25518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 26 + 6 = -4*i, 2*g - 4*i + 12 = 0. Let z(m) be the third derivative of 1\/40*m**6 + g*m**3 + 0*m**4 + m**2 + 0*m + 0 - 3\/20*m**5. Factor z(j).\nAnswer: 3*(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121 + 184. Let u = d - 33. Suppose -5*b + 4*b = -u. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12224300 - 1203?\nAnswer: 12223042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 466947880 and 326863516.\nAnswer: 3268635160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45\/2 + 143\/6. Suppose -119*l = -133*l - 28. Which is the second smallest value? (a) -0.1 (b) l (c) 4\/5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707.035 litres in millilitres?\nAnswer: 707035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*g + 3*w, 0*w - 20 = 2*g + 4*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two ninths of a hour in seconds?\nAnswer: 24800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 47\/3. Let n(f) = f**2 - 6*f + 4. Let j be n(5). Let p = 125 + -127. Which is the nearest to j? (a) -1\/9 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + 4.08. Which is the smallest value? (a) 0 (b) 2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46134334 and 1544.\nAnswer: 184537336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409896 divided by -22772.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 0*b + 2\/3*b**3 - 1\/360*b**6 - 1\/120*b**5 + 0*b**4 + 1 + 0*b**2. Let g(u) be the third derivative of n(u). Factor g(x).\nAnswer: -x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 551*c - 47. Let u(k) = 2*k**2 + 368*k - 31. Determine -14*u(j) + 9*v(j).\nAnswer: -j**2 - 193*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 - 24. Let d(v) = -60 + 355236*v**3 + 55 - 355237*v**3. Determine 14*d(g) - 3*m(g).\nAnswer: 4*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*o + 2*t, -4*o - 6 = -2*o + 2*t. Suppose -o*l = -x + 241, -3*x = -5*l - 935 + 208. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/(-55) - 6233\/10405. Let p = 193573\/41620 - j. What is the common denominator of p and -29\/26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 3 (c) -174 (d) -0.02 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27504\/(-128))\/(6\/(-8)). Let n = i - 286. Which is the closest to n? (a) -3 (b) 2\/3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 2195, 3441, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588437647.\nAnswer: 7, 84062521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*t. Suppose t = j - 4, y = 2*y - j - 306. Suppose -6*c + y = -c. Calculate the remainder when c is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 7196345 - 7196346 + 14392691 + 8*b**2 + 12*b**2.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**6*f**(-2)\/f)\/(f**4*f*f**2) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 301 and 284832?\nAnswer: 1993824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m - 15. Let n = 0 - 1. Sort n, -2, m in increasing order.\nAnswer: m, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 112\/(-24) - (-1)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 + -8) - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 1, a: 1, b: 1, x: 2}. Give prob of sequence dd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 112\/(8 - 4). Suppose -u + l = 2*y, y + y + 5*u = 34. What is the lowest common multiple of y and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 + 20*h + 71 - 136)*(-73 - 50 + 98)*(3 + h**2 - 3) to the form s*h**2 + n*h**3 + v + r*h and give n.\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 104 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1280) + (sqrt(1280) - (sqrt(1280) + -1*sqrt(1280))*-5) + 1*sqrt(1280) + -5) + 2)**2.\nAnswer: -8448*sqrt(5) + 184804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002053051372 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 10*p**2 + 7*p + 20. Let q be u(9). Let z(w) be the second derivative of -1\/27*w**4 + 0 - 2*w + 1\/30*w**5 - 2\/9*w**q - 7\/27*w**3. Factor z(v).\nAnswer: 2*(v - 2)*(v + 1)*(3*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3143\/344 + 87\/86. Calculate the common denominator of -49\/192 and c.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1088) + -1 - (sqrt(1088) + 4 + 2 + sqrt(1088)))**2*5.\nAnswer: 720*sqrt(17) + 5845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*1 + sqrt(128))*-6.\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -4*g**3\/3 - 1. Let m(y) = -3*y**2 + 2*y**2 + 16 - 16. What is m(q(j))?\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 21*u**3 + 10*u**2 + 2*u + 5. Let v(q) = -32*q**3 - 14*q**2 - 3*q - 7. Let p(l) = -5*v(l) - 7*w(l). Calculate p(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898281185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*g - 100*g**3 - 59 - 19*g**4 + 6*g + 100*g**3 wrt g?\nAnswer: -76*g**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -44*r + 18*r + 32*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5589 is divided by 244?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**9*j*j\/(j\/(j\/(j**17*j)*j))*j**(2\/13)\/j**(-10) assuming j is positive.\nAnswer: j**(67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101010010011100010011 + 100?\nAnswer: -110101010010011100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 36\/11 (b) -1\/3 (c) 0 (d) -5 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 10*t + 8*t - 2*t**2 + 0*t + 9*t**4 - 4*t**4 to the form v + f*t**4 + n*t**2 + o*t**3 + s*t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -88.51 * 0.5\nAnswer: -44.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74089742 - -32879742. What is l rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djc when three letters picked without replacement from utdjvjtucjuuttcjuuuu?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**4 + 44*g**2 - 86*g**2 + 2 + 48*g**2 - 3*g**3 to the form v*g**3 + h*g + y*g**4 + n + q*g**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**3 - 65*g**3 + 3 - 3.\nAnswer: -46*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1128 = -2*p - 4*m, -5*p - 2*m + 2301 = -487. Suppose 2*v = -r + 564, 0*r = 2*v - 3*r - p. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 5. Let a(w) be the third derivative of -1\/24*w**4 + 1\/2*w**3 + 0*w - 10*w**2 + 0. Give a(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(108) + (sqrt(108) + (sqrt(108)*2 + sqrt(108))*-1 - sqrt(108)) + sqrt(108) + sqrt(108))\/(5*-2*sqrt(6)) + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 20*k + 10. Calculate b(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2. Let c(p) be the first derivative of 3\/2*p**2 + 17 + 0*p. Calculate l(c(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 0*o + 0*o)*(-3 + o + 3 + (3*o - o - 3*o)*(-2 - 2 + 3) + 3*o + 3*o - 7*o + (-3 + 4 - 2)*(-3 + 3 + 2*o) - 8 + 8 - 18*o).\nAnswer: 19*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 685360651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -12 + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7 + 3.6. Which is the nearest to -1\/5? (a) -3 (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-21)\/(-9))\/((-7)\/(-84))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 2*n - 2. Let g(f) = 6*f - 3. Let s(c) = -c - 1. Let l(b) = -g(b) - 5*s(b). Calculate the lowest common multiple of k(-4) and l(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m*t**3 + 5*m*t - 2*m + 2*t**4 - 15*t**3 wrt t?\nAnswer: -30*m*t + 24*t**2 - 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**3\/3 + 9*t**2 - 60*t - 92. Let o be m(-21). What is the smallest value in o, -0.1, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}