diff --git "a/data/dm_maths/full_data/2160_11255.jsonl" "b/data/dm_maths/full_data/2160_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2160_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 8530*n**2 + 3519*n**2 + 94 - 94 - 484*n**2.\nAnswer: 11565*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 53 = -5*d, 0*d + 4*d + 5*l - 67 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3624035821.\nAnswer: 7, 7867, 65809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9721255 a multiple of 1644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18389147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = -g + 5*t, 4*g + 2*t - 1660 = -g. Let m(l) = 67*l + 1. Let r be m(-3). Let i = r + g. What is the highest common divisor of 33 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, f: 3, t: 7, a: 2}. What is prob of sequence ftat?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 - 82 - 18*s**3 + s + 39*s**3 - 20*s**3 + 0*s to the form b*s**3 + q*s**2 + p*s**4 + w*s + o and give o.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, r: 1, k: 3, g: 7, f: 4, u: 1}. Give prob of sequence gr.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169\/5 - 172\/5. Let s be 2\/4 + (-6)\/4. Let c(f) = -f - 1. Let p be c(s). Which is bigger: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 783*v - 33*v**3 - 758*v + 103*v**3 + v**4 - 2*v**2 to c*v**4 + w*v + s*v**2 + p + n*v**3 and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10.78 times -0.5\nAnswer: -5.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + -4 + (sqrt(448) + 2)**2 + sqrt(448) + (2*sqrt(448) - sqrt(448))**2 + -2 - (-3 + 4 + sqrt(448) + 3).\nAnswer: 40*sqrt(7) + 890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 3}. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -45, -54, -63?\n\"Answer: -9*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d - 3?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 3:47 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3 + 3 + 2 + x**2 + x - 5. Let m be t(-4). Suppose 2*k + 1 = 3. Solve 0 = -r + 5*y - m, 0 = y - k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -36, -11, -4, 0 in decreasing order.\nAnswer: 0, -2, -4, -11, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -39. Let u = -26 - -46. Let t = u + g. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9659, -9663, -9669, -9677, -9687?\n\"Answer: -b**2 - b - 9657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -600*f. Let x(m) = 43*m. Calculate b(x(c)).\nAnswer: -25800*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 92*q**2 - 301*q - 116. Calculate the least common multiple of 24 and c(-95).\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*h - 138*h - 295 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44\/(1 - -10) - -2325?\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -22. Suppose 3*y + 15 = 8*y. Which is greater: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - o - 19 = -0*o, -5*o + 25 = 0. What is the common denominator of 31\/72 and ((-210)\/(-135))\/(k\/28)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2\/4 + 4686351*w\/4 - 3514770 = 0.\nAnswer: -1562120, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169.5 - -174. Let h = 4.66 - z. Round h to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 385\/33)*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, 66 in decreasing order.\nAnswer: 66, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/787 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 9*j - 5. Let p be x(10). Factor 2*i**3 + 6*i**2 - i**3 - 7*i**3 + 6*i + 3*i - 3*i**p - 9*i**4 + 3.\nAnswer: -3*(i - 1)*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 17, 16, 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5 - w - w + 5. Let k(u) be the second derivative of u**6\/90 - 5*u**3\/6 - 5*u. Let n(y) be the second derivative of k(y). Give f(n(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23 + -1710)*(-31 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -857, -1559, -2275, -3011, -3773, -4567, -5399, -6275?\n\"Answer: -s**3 - s**2 - 692*s - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 3*i**2 - i + 2. Suppose 44 = 4*z - b, 5*b - 2*b - 72 = -5*z. Let o = -16 + 0. Let h = o + z. What is c(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -15. Let s(r) = -1 + 0*r + h*r - 2*r. Let u be s(-4). Which is the second biggest value? (a) 0 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (172\/(-2))\/(2*(7 + -8)). Let t = c + -39. Suppose -t*y = 2747 - 8095. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.92 + 38. Let f = l + -0.18. Let a = -1.1 - f. What is the closest to 0.2 in -0.4, a, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 - 2*s + 2. Let k(g) = 6*g**2 + 3*g - 3. Calculate 3*k(q) + 5*y(q).\nAnswer: 3*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(19) + -2 + 3)*6)**2 + 0 - (3*sqrt(2736)*1 + (-3 + sqrt(2736) + 3)**2).\nAnswer: -2014 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140018, 280156, 420282, 560390, 700474, 840528, 980546?\nAnswer: 1120522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 8*w**2 - 7*w - 4. Let g be j(7). Let a = g - -6. Suppose -2*p = -2 - a. Solve 0*y - 2*y + 14 = 5*u, 2*y = -p*u + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.2 - -24. Which is the smallest value? (a) 1 (b) -3 (c) 3\/7 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 83, 11274, -2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 4*g + 2. Suppose 3*h + 4 = -5. Let j be y(h). Suppose 5*c + 0*c + 20 = 0. Sort j, 1, c in descending order.\nAnswer: j, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -438*b**3*j**2 + b**3*j + 2*b**3 - 174*b**2*j + 11*b**2 + 136694*b*j**2 - 39*b*j + 2*b wrt j?\nAnswer: -876*b**3 + 273388*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7593?\nAnswer: 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1210*h**3 + 1019*h**3 - 270*h**3.\nAnswer: 1959*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -9*y - 25948. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 25*l + 154. Let u be j(7). Sort -8, -1, u in ascending order.\nAnswer: u, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207835 divided by -1\nAnswer: 207835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, 0.174, 0.1, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1. Let c(j) = -79*j + 389. Let y be c(5). Let f(o) = -2 - o + 3*o + 4*o + 8. Determine y*g(k) - f(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3159077\/818900 + -3363\/862. Find the common denominator of o and -109\/20.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -342 + -1?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + m**2)*(-m + 0*m + 3*m) + 2*m**3 - 2*m**3 + 3*m**3 + (2*m - 5*m + 4*m)*(2*m**2 - 11*m**2 - m**2) to g*m**3 + j*m**2 + t*m + x and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -696*x + 1413*x - 23 - 718*x. Let g(t) = -2*t - 23. Calculate -2*g(m) + 3*n(m).\nAnswer: m - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggaagjaggggaaa. Give prob of picking 1 g, 2 a, and 1 j.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42470?\nAnswer: 2, 5, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6001755*h*y**2 + 79*y**2 - 74*y - 429 wrt h?\nAnswer: -6001755*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 - (-91)\/(-525). Put s, 4\/5, -0.1 in decreasing order.\nAnswer: 4\/5, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/4847 + (-106911)\/24759.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 6:01 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 870*y**3 + 7*y + 8. Give k(-1).\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1565284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183831.\nAnswer: 3, 29, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9*w = 4*w - 7384, -2*k + 7392 = -w. Let r = k - 2572. Suppose 0 = 4*d - d - 3*m - r, 4*d + 2*m - 1524 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.4 (b) 0.06 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9693, -9614, -9395, -8964, -8249?\nAnswer: -7178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4588, 8919, 13250, 17581, 21912?\nAnswer: 26243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 26 + 14 = 2*p, -3*p = 2*n - 55. Let b be (-1)\/(-3) + (-80)\/p. Let k = 5 - 0. Sort 4, b, k in decreasing order.\nAnswer: k, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence popo when four letters picked without replacement from {o: 2, w: 4, p: 3, t: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/(-147))\/((-22)\/231)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 + 5. Let a(w) = -7*w**2 - 5. Let u(v) = 3*a(v) + 4*c(v). Let t be u(0). Calculate the common denominator of (-58)\/(-8) - (-9 + t) and 11\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2242235*h. Let s(z) = 2*z - 15. What is s(r(n))?\nAnswer: 4484470*n - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 - 5*d + 3 - d**3 - 4 + 3. Let w(j) = j**2 + 4*j. Let i be w(-5). What are the prime factors of b(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 12213112020?\nAnswer: -12213112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76? (a) -2 (b) 1\/7 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 3\/4, 22, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 1, y: 7}. Give prob of picking 1 g and 1 y.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - -2. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/9)\/4 + (-776)\/(-48) + -16?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1217 + 971 - 532 + 3232 - 2*h + 2874.\nAnswer: -2*h + 5328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -80. Let r = 98 + b. What are the prime factors of r?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172\/155 - -141\/155. What is the closest to 2 in 26, 1, l, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 - 215*v**2 - 1260*v = 0.\nAnswer: -36, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 483 - 5*a**3 - 23*a**2 - 18*a**2 - 482 as u*a + r*a**3 + y + m*a**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16557051*i**2 + 1950672*i wrt i.\nAnswer: 33114102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 238, 1\/5, -1\/2, -126\/17, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 12*n. Give i(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20b515 (base 15) to base 9\nAnswer: -2832742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, 0.2763 in decreasing order.\nAnswer: 0.2763, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496544 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574\/(-78)*8\/18*12\/(-72)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5169 * -9.\nAnswer: -13.6521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 0 + 2 + -1. Suppose -q*n - n = -366. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21504182780 rounded to the nearest one million?\nAnswer: -21504000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeh when three letters picked without replacement from {m: 2, q: 1, s: 5, h: 1, a: 2, e: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -4, -46 in decreasing order.\nAnswer: -4, -22, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 + 50*q + 91. What is i(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 72*d**2. Let u(a) be the first derivative of -10*a**2 + 514. Determine j(u(q)).\nAnswer: 28800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (-24 + 18 - (-13 - -3 - 0)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, f: 4}. Give prob of picking 2 f.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 73*v**2 - 67*v - 300. Calculate b(72).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*y + 36, 142*y - 2*n = 141*y + 21 - 37 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - c + c**3 + 5*c + 1 - 4*c in the form j + z*c**3 + a*c**2 + m*c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/3 - 1010*q**2\/3 + 12248*q - 61512 = 0.\nAnswer: 6, 33, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 11*m - 12. Let p = -9 + 17. Let j be y(p). Suppose -j = -4*n + 56. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 1276000.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 11*y + 19*y = -2*p - 36, -23 = -3*p - y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 921458.\nAnswer: 6450206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3412 or 1?\nAnswer: -0.3412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1345 - 988 - 706)*(-i - 15*i + 8*i + 3) to the form a*i + g and give a.\nAnswer: 2792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/102 - 35\/2295?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = g + 11, 5*t = -g - 4 + 14. Suppose -t*i = -s - 4, -5*s = 3*i - 0*i - 34. Suppose -2*z + i = -13. Solve 0*r - z = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 - 3*k - 14. What is t(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129910409765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -6, 34, 124, 282, 526?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -98, -393, -890, -1589, -2490?\n\"Answer: -101*n**2 + 8*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, -6, 19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*x + 9 + 9 to y + z*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1339*z**2 + 48*z - 162. Let p be x(3). What is p rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244 + -2194\/9. Let m = -459.8 - -648. Let n = -188 + m. What is the second biggest value in h, 1, 10, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14419 - 13467. What is the remainder when d is divided by 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - i - 1. Let a be 276\/322*(-7)\/(-3). Let p(r) = -2*r**3 - 6*r**2 - 2*r - 2. Give a*q(t) - p(t).\nAnswer: 2*t**3 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.989 times 5?\nAnswer: -9.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -49. Let q(x) = x**2 - 3*x - 17. Let u be q(6). Suppose -u = -3*a + 8. Solve k + f = -b*f + 3, 0 = -2*k + a*f + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1 + 12898*m - 4 - 12895*m + 3. Let b(i) = -7*i - 1. What is -2*b(q) - 5*t(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -16, 0.5, -14, 0.052?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/681 and -4\/105.\nAnswer: 23835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1222 = 4*x + n, -2*x = -3*x - n + 307. Suppose 5*k = 5*c - x, 0 = 5*c - 3*k - 133 - 176. What is the remainder when c is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:14 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - 58*u + 174. Let z(j) = -j**2 - j + 1. Let v(k) = i(k) + 2*z(k). Factor v(o).\nAnswer: 4*(o - 11)*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 24. Let m(g) = -9*g**2 - 7. Calculate m(x(s)).\nAnswer: -9*s**2 + 432*s - 5191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.81 - -3. Let f = d + -0.09. Let j = -304 - -308. Which is the nearest to f? (a) 0 (b) -1\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i + 8*i + 3*i)*(-7*i**3 + 29*i**3 + 4*i**3 + (3*i - 3*i + i**2)*(-2*i - 2 + 2) - i**3 - 3*i**3 + 3*i**3).\nAnswer: 483*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 286 = -0*x - 2*x, i = -5*x + 77. Solve -45 = -i*c + 57*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**3 - 67815*x**2 = 0?\nAnswer: 0, 13563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 3*d**2 - 6*d + 4. Let j be f(6). Let v = 4 - -9. Suppose y = v + 6. Calculate the highest common factor of j and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2839 and 2004?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m. Let v(c) = 52*c**2 + 130*c + 65. Let w(n) = -n**2 - 2*n - 1. Let x(b) = -v(b) - 65*w(b). Calculate x(k(z)).\nAnswer: 468*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b - 66 + 2 - 17 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k = 42753. Let q be 2\/(3 - k\/4750). Round q to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h - 4. Let l(i) = 1 + 1 - i + 2*i + i. Let n(z) = -z - 1. Let m(d) = -3*l(d) - 5*n(d). Determine -m(c) + x(c).\nAnswer: c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2 - 120*r + 387 = 0.\nAnswer: -43, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/s)**(-37)*s\/s**(-1\/5)*s**1*s*s\/(((s**(2\/15)\/s)\/s*s)\/s*s)*s*(s\/s**2*s)\/s*s**(-3)*s\/s**(-1) assuming s is positive.\nAnswer: s**(394\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1195920 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 12. Let v(w) = w**3 - 26*w**2 + 46*w + 55. Let k be v(24). Let m = k - c. Which is bigger: -2\/11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 579, 858, 1121, 1362, 1575, 1754, 1893?\nAnswer: 1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 31 - 5*s**3)*(-s + 0*s + 3*s - 3 + 2*s + 3 + (0 + 1 - 2)*(-1 + 1 + 3*s)).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*g**2 - 26*g**2 - 268*g + 270*g in the form i*g**2 + n*g + l and give i.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*y = -4, -y + 3*y = 4. Solve 3*a - 10 - 14 = -5*h, 4*a + 2*h - 18 = o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:20 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3936 and 2364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106 or -0.4?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24476\/2110)\/(10\/(-125)).\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/19 + 68*h**3\/19 + 130*h**2\/19 + 64*h\/19 = 0.\nAnswer: -32, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -7 (b) -266 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4384 and 82407692?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 l, and 1 u when four letters picked without replacement from {l: 2, i: 2, u: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*g*h - 24*g - 3*h*k - 130*h - 192*k wrt h?\nAnswer: -7*g - 3*k - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 93760\nAnswer: -3\/23440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16881 divided by -27?\nAnswer: -5627\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 11:16 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02522874 and -0.0519.\nAnswer: -0.07712874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -690 and 69.\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c - 12. Let k be d(-6). Let q be k\/9 + -1 - (-84)\/18. Put q, -3, -3\/5, 0.3 in descending order.\nAnswer: q, 0.3, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {c: 1, r: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j - 15 + 30 - 12 + 4*j**2 - 7*j**2. Let x(v) = -v**2 + 6*v + 1. What is -4*f(p) + 11*x(p)?\nAnswer: p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142482 at most 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65783998 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: Simplify (-1 + sqrt(1872) + 1 - sqrt(1872) - (sqrt(1872) + 1 + 0))**2 - (5 + 1*sqrt(1872)*5 + sqrt(1872)*-2 + -1)**2.\nAnswer: -14991 - 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/(4\/(-12)). Calculate the common denominator of (-1)\/4*93\/k and (-2)\/(-6) - (-124)\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-6) - 438\/3. Let q = 140 + y. Let z = q - -37\/6. What is the second smallest value in 2, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - -1*(-2 + -2). Sort m, 5, -5 in descending order.\nAnswer: 5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2\/3*x**3 + 0*x**2 - 7\/4*x**4 + 111*x - 33. Find the first derivative of h(t) wrt t.\nAnswer: -21*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 257383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -0*m - 2*m. Suppose -4 = -2*l + q + q, 2*q = -l - 10. Let u be 5 + -3 + (-20)\/l. What is the greatest common factor of m and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 1. Let k be a(-1). Let d = 0.7 + -1. Let b = -0.1 - -0.1. What is the smallest value in k, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -2823?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -11 - 4 - (-3 + 21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Let x(v) = -39*v + 116. Let o be x(3). What is the nearest to 0 in w, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2. Let o be t(-1). Let u(a) = -110*a. Let i be u(o). Suppose 0 = -3*k + 8 + 22. Calculate the highest common divisor of i and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + 0. Let s be (-1)\/(1 + l\/(-12)). What are the prime factors of (2\/s)\/((-1)\/(-51))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -42*b - 238 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11573 - -5404593\/467. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-245))\/(((-5280)\/(-100))\/(-33))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/((-4976)\/43540).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 13*t**2 + 16*t + 25. Is y(12) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1762 is divided by 77?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*o**5 + 13*o + 19 + 21 - 40 wrt o.\nAnswer: 380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*k + 65 + 5. Solve 5*b - 31 = k*f, -4*b + 26 = -5*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6789 + -37.5211. Is -4 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:51 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/3 + 70*q**4\/3 - 334*q**3\/3 - 406*q**2\/3 = 0.\nAnswer: -1, 0, 7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4 + 28*p**3 + 282*p**2 + 252*p = 0 for p.\nAnswer: -6, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/6 - (-12)\/(-8). Let r be (-4)\/6 - 69\/(-9). Let d = r - 5. Solve d*t = 3*i - p*t - 32, 2*i + t = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2889*w - 8777 + 6777 = 1219*w - 26648 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = g + 3*g - 6, 2*g - 3*b - 2 = 0. Suppose -3*k = 0, g*s - 2*k - k = -4. Put -8, 4, s in increasing order.\nAnswer: -8, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by (9\/(-6))\/((-8)\/272).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 37*x**2 - 28*x + 62. Let u be j(-18). Solve -6 = -u*m + 893*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.041558, 0.4, 0.3?\nAnswer: -0.041558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**4 + 3*z**3 + 3*z**2 - 7*z - 6 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -12. Which is the third smallest value? (a) 0.3 (b) n (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452343133 a multiple of 2902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**3 + 17*o. Let s(g) = -5*g**3 + 17*g. Give -6*d(l) + 7*s(l).\nAnswer: l**3 + 17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(2 + -1 - 70\/76). Let y = j + 43. Let z be -9*y\/(-75)*15. Solve 0 = -2*v + 1 - z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 443, -191.8?\nAnswer: -191.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Suppose -5*b + r*l - 13 + 45 = 0, 4 = -l. Suppose 14 = -2*o + 9*o. Calculate the remainder when b is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 49. Suppose -p = 0, -w + 36 = w + d*p. Calculate the highest common divisor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 440*s**4 + 245*s**2 wrt s?\nAnswer: 10560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -998.1 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*n + 24*n**3 + n**3 - 8*n wrt n.\nAnswer: 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9560265 + -133939095\/14. Let k = a + 6817. What is the common denominator of (-4)\/(-10) + (-604)\/(-40) + 10 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 9*y**2 + 11*y - 3. Calculate c(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1670707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-429)\/9)\/(3\/(-9)). Calculate the common denominator of -5\/16 and 1 + (2 - y\/12).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5 + 105*f**4*q + 9*f**2*q - 2*f*q wrt f?\nAnswer: 120*f**2 + 2520*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 5*f**2 + 2*f**2)*(2 + f**2 - 2).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 15. Solve 3*d - 2 = u*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(8\/5)*o*o**(-21)*o**3\/(o**(-13)\/o*o) assuming o is positive.\nAnswer: o**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66768358 equal to 66768357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 + -5)) + 2 - (-69 + 79)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/270)\/(9\/(-27))*-35.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3572343500?\nAnswer: 2, 5, 11, 137, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4 + -1)*6. Let o(q) = -3 - q + 129*q**2 - 130*q**2 + 5*q. Let h be o(3). Solve 0 = -j - 4*u + 17, h = 8*j - b*j + u + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, r: 7, c: 3}. What is prob of picking 1 c, 2 k, and 1 r?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20190 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3310*b. Let q(g) = -3*g**2 + 410*g. Calculate p(q(z)).\nAnswer: 9930*z**2 - 1357100*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 11:08 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x + 6. Suppose 0 = -g - 4*g - 5. Let z(q) = 1. Let r(w) = g*h(w) + 12*z(w). List the prime factors of r(-11).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 7*x**2 + 12*x - 11. Let v be h(8). Suppose -3 = -6*y + v. Suppose 0*d**4 - 3*d**4 - y*d**5 + 12*d**3 - 5*d**4 = 0. What is d?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + w + 76 = 0, -3*w + 8*w = -x + 40. Solve -a - x = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 + 1422972*l**2\/7 + 2845952*l\/7 = 0. What is l?\nAnswer: -2, 0, 711488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5 - 3 + h + 3. What is m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = u - 4*f - 1, -f - 1 = -u. Suppose i + 0*i = 16. Calculate the lowest common multiple of i and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((7 - -5) + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(3 - (-33)\/(-12)). Suppose 6 + 14 = q*n. Let d(r) = -r**2 + 6*r - 4. Let o be d(n). Let l(g) = g. What is l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 45, 100, 177, 276, 397?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 + 8*o + 3*o**3 + 9*o**2 + o**3. Suppose -3*n = -6*n - 24. Let y be m(n). Sort 5, y, 4 in descending order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*o = -23166 + 21312 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2256 + 1507. Let x = -429 - h. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 5 = 11*x. Let h(k) = k**2 + 0*k**3 - 3*k**3 - 3*k**3. Is 7 a factor of h(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8 + 8 = 4*i, 4*l - 23 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 12, 11 = -3*w - 0*q - q. Which is smaller: -3\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*y - 146, 10*y = 5*y - 5. What is the greatest common factor of g and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63.900946 + 63.9. Round h to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(247\/(-57))*-10*(-9)\/((-36)\/(-10))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 4*o**2 + 14*o + 5. Let i(m) = 16*m**2 - 60*m - 22. Let w be i(4). Calculate p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 12*x**2 - 11*x + 2. Let a be s(-11). Solve a = -i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Factor 0*d + 0*d**2 + 6*d**3 + 2*d**2 + 0*d + 6*d**4 + 2*d**x.\nAnswer: 2*d**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 914 + d**3 - 461 + d**4 - 31*d**2 - 453 as s*d**3 + b*d**2 + w*d + t + c*d**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 11:40 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -z + 4*y - 13, 4*z - 59 = 3*y. Is (-4)\/14 + 1222\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 54378*c**2 + 28*c + 31. Is x(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -62*v**3 - v**2 + 2*v - 2. What is k(1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3\/9 - 6358*u**2\/9 + 12740*u\/9 + 50896\/9 = 0?\nAnswer: -3181, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(14014\/1430 + -2*5)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36486318 and 60810530?\nAnswer: 182431590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402621623 is divided by 552.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + -2*(-3 + (-1*sqrt(847) + sqrt(847))*3)*-5))**2.\nAnswer: 15625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52878 times -4?\nAnswer: -211512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2429 is divided by 143?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -17. Let m = 0.5 + -0.8. What is the second biggest value in v, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -82. Suppose -3*f - 2 = 7. Which is the closest to 0? (a) -1\/2 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -3*i**2 - 2*i + 10. Let u be v(4). Let o(n) = -n**3 - 27*n**2 - 26*n + 2. Let r be o(u). Solve -k + r*k = -1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 771750 and 315?\nAnswer: 771750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00051183126 to 7 decimal places.\nAnswer: -0.0005118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 10. Let o be a(0). Let w = o - 11. Put 5, -5, w in increasing order.\nAnswer: -5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325502063?\nAnswer: 325502063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 50239 (b) 0.2 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(130 - 28*z - 130).\nAnswer: 56*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 + 52587*o**4 + 4554924*o**3 + 44690508*o**2 + 71581968*o = 0.\nAnswer: -17442, -76, -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)\/(i*(i*i**(-3\/4))\/i))**(-14) assuming i is positive.\nAnswer: i**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*h = 1109*h + 4*h + 512*h + 120*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.09956 - 3.1. What is h rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:43 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/64*(2 - 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166890 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140.99939 + 141. Round i to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a38c382 - 4?\nAnswer: -a38c386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -49.\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 2 + 15 + -9. Suppose -j*b = 5*u - 5, 9*b + 2*u = 4*b + 21. Solve -b*f = -4*p - 0*p - 6, -7 = -2*f - 3*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 538*v**3 - 247*v**3 - 266*v**3 - 40*v**2 - 5*v**4 + 20*v.\nAnswer: -5*v*(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1082)\/20017 + 423171\/37?\nAnswer: 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 + 253. Suppose 4*j - 11*j - i = 0. Which is the third biggest value? (a) 2\/15 (b) -8 (c) j (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3*h - 354*c**3 + 31*c**2*h - 3*c + h**2 wrt h.\nAnswer: 3*c**3 + 31*c**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/(-259))\/(2\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) 1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017326 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from hkbcbhovbbcbbhv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 14*d + 40. Let u be (90\/(-120))\/((-3)\/20). Let i be q(u). Let m = 61\/85 + -2\/17. Which is the second smallest value? (a) m (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 1)\/2*-3. Let x = 13 + p. Suppose -3*v - 2*m + 14 = -3*m, 4*v = -2*m + 32. What is the least common multiple of x and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.408 + 0.44. Let o = d + -0.03608. What is o rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388123.\nAnswer: 193, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = -5. Let d be ((-4)\/(-8))\/(x\/(-28)). Let o = d + 11. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = 4. Let l be 2 + (7 - -3) + r. Let s = l - 8. Sort -2, -3, s in decreasing order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8432583 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7011 = -4*k, -2*w + k + 2124 + 678 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d - 1. Let a(p) = 32*p - 6. Let f(w) = -a(w) + 6*v(w). Let j(s) = -13*s. Determine j(f(o)).\nAnswer: 1118*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 160131?\nAnswer: -160130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (0\/3 + 0). Solve u*v = 5*v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.41. Let g be (3 + 3 - 4)\/((-2)\/(-3)). Suppose -g*y = -4*y - 3. Which is the third biggest value? (a) j (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o**2\/7 + 136*o\/7 + 4.\nAnswer: -4*(o - 7)*(5*o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43130829 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (252\/(-64) + 4)*2. Let w = 0.4 + 0. Sort 0.1, 2\/13, w, u in increasing order.\nAnswer: 0.1, u, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*p + 13, -p + 0 + 3 = 5*s. Solve 0 = x - 5*x - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b + 2. Let c(t) = -t - 1. Let v be (-2 + 6)\/(-9 + 7). Let a(s) = v*c(s) - r(s). Let q(j) = -2*j. Determine a(q(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/((-16)\/(-14)))\/(4\/1). Is i not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -83*c**2 - 6*c + 40. Determine a(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000424 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f = -23*f + 3*a + 45, 2*f - a - 17 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1365 + -1370. Which is the nearest to 13? (a) u (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15017596698 - -13\nAnswer: 15017596711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360425, -360392, -360331, -360236, -360101, -359920, -359687, -359396?\nAnswer: -359041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0737962 tonnes in nanograms?\nAnswer: 73796200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j**3 - j - 4*j)*(-5*j**2 + 5*j**2 - 2*j**2).\nAnswer: -4*j**5 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -29, -0.2, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - 121 - 701 = 830 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7.1. Let b = -0.2 - v. Which is smaller: -0.2 or b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, b: 1, i: 3}. What is prob of picking 1 i and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302125 by 4.\nAnswer: -302125\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -14*a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215107.\nAnswer: 251, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32450 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5\/20 + w**4\/3 + w**3\/6 - 8*w. Let i(l) = -l**2 - 5*l - 3. Let p be i(-3). What is c(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39983 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -80973800 to the nearest one hundred thousand.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = 3. Let f(q) = 7*q**2 + 7*q**2 - 4*q**2 - 3*q + q**2. Is 13 a factor of f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-3 + (7 - 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12243 = -118*o + 97*o. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2. Let w(f) = -2015*f**2. What is h(w(m))?\nAnswer: -20301125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3)*u**(-8\/11))**12)**(-2\/15) assuming u is positive.\nAnswer: u**(368\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c**2 - 2*c)*(20*c**2 - 15*c**2 - 3*c**3 + 0*c**3).\nAnswer: 3*c**5 - 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43041.4 weeks in microseconds?\nAnswer: 26031438720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1044857 to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12150, -12144, -12136, -12126, -12114, -12100?\nAnswer: -12084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71872 by 64.\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 7*u + 2*u + 8)*(0*u + 0*u - 3*u)*(3*u**2 - 10*u**2 + 8*u**2).\nAnswer: 3*u**4 - 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 1 - 1 + (6 - 10 + 2)*(0 + 0 + 2)*(-1 + 1 - 1))*(6*j - 3*j - j)*(0 + 2 - 4)*(-1 - 1 + 3) to c*j + q and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2463093 to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -151674.8982 to the nearest 100.\nAnswer: -151700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, -2, 1.2, 0.8.\nAnswer: -2, -1\/4, 0.8, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -3, -15, -1 in ascending order.\nAnswer: -15, -4, -3, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**3\/6 + 43*c**2\/2 + 3*c. Let o(m) = -15*m. Calculate the remainder when f(0) is divided by o(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v. Let q(o) = -285*o - 2 + 339*o - 214*o. Give i(q(n)).\nAnswer: 1760*n + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2061 + 100957\/49. Calculate the common denominator of -81\/70 and p.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101430 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-4 + 1 + 1)*(-26297 + 26297 + 203*c).\nAnswer: -406*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -27, -61, -119, -207?\n\"Answer: -r**3 - 3*r**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**0\/r))\/r)**(-4\/3)*r**(-1\/3)\/(r\/r**(1\/4)))\/(r\/r**(-2\/13)*r**(-2)*r**(-2\/9)*r**(3\/2)) assuming r is positive.\nAnswer: r**(-1333\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2181*k - 5. Let u(x) = -98*x. Calculate u(s(g)).\nAnswer: 213738*g + 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 4*q + 2*q**2 - 1 - 3*q. Let x be s(1). Factor -5\/4*r + 1\/2 - 1\/4*r**x + r**2.\nAnswer: -(r - 2)*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1536*l - 15424 = -84544 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3210?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5657435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4161792?\nAnswer: 2, 3, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -43. Let q = 50 - w. Do q and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*b**2 - 4*b**4 - b + 3*b**4 + 3*b**4 - b**3 + 15*b**3 - 3 as y*b + a + c*b**2 + m*b**4 + k*b**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-40) + (-18)\/(-20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 645*p**3 + 9*p - 17*p - 3*p**2 - p**2.\nAnswer: 645*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s + 1. Let x(v) = 8*v + 1. Determine 3*d(a) - 2*x(a).\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15429\/8 + 1927. Let f = 182227\/25830 - -1\/1435. What is the common denominator of v and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (16 - (-13 - (18 + 4 + -19))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 102.44 times -3.2\nAnswer: -327.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 3 (b) 0.4 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.18560301 to two dps.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/15 - -121\/105. Sort -1\/4, 2\/3, p, -0.5 in ascending order.\nAnswer: -0.5, -1\/4, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-70))\/((-546)\/1820).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + c - 6. Let u be d(3). Suppose u*y = 19*y - 24. Suppose -y*k + 237 = -621. List the prime factors of k.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 13*k + 82. Let j be q(-17). Solve -5*c - 4 = -j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 5\/2*z**3 + 0*z**2 + 0 + 4*z. Let f(o) = 7*o + 68. Let p(k) = 12*k + 119. Let c(l) = -7*f(l) + 4*p(l). Give s(c(u)).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 580847, 1161693, 1742539, 2323385?\n\"Answer: 580846*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:04 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 720596497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1 - -7) + 1 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 4, 0*b - 2*b - 2*g = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 46*s**2 - 14*s + 322. Determine i(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 808296191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 3*h + 5*h + (-8*h + 3*h + h)*(0 + 5 - 3) + h - h - 2*h + (4 - 1 - 2)*(-h - 2*h + 4*h) + (2*h + 1 - 1)*(0 + 1 - 2).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30207 and 1027.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + 9. Let t = -41.793 - -0.893. Let c = h + t. What is c rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*x = -a + 55*x + 139, -a + 2*x = -142. Calculate the greatest common factor of a and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247806737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + 25 - 25)*(-2*g**2 + 2*g**2 - g**2)*(1 - 2 + 3) + 13*g**2 - 6*g**2 + 1 + 3*g**3 - 8*g**2 to u + m*g + h*g**3 + d*g**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357 - 63*c**2 + 363 + 356 - 1078 + 13*c**2.\nAnswer: -50*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2492\/5 - 496. Factor i - 3\/5*v**2 - 9\/5*v.\nAnswer: -3*(v - 1)*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -715, -1417, -2109, -2791, -3463?\n\"Answer: 5*d**2 - 717*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y - 7. Let h(z) = -z**3 - 8*z**2 + 2*z + 12. Let d be h(-8). What is the tens digit of n(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*z = -d + 2, 3*d + 3 = 2*z. Put 2, 19, d in decreasing order.\nAnswer: 19, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*k*l**2 - 211*k*l - k - 200*l**2 - 10*l wrt k.\nAnswer: 9*l**2 - 211*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 + 16 - -18) + 23?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-231)\/22)\/((-6)\/(-16)). Let r = k - -56. What is the remainder when 82 is divided by r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3912 and 101\/1416.\nAnswer: 230808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:24 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(((d**6\/d)\/d)\/d)\/d*d\/(d*d**(-4\/3)\/d))\/(d*d\/d**(-1\/4))**(-5\/3))\/(d**(-2\/7)*d\/(d*d**(-1\/16)))**(-49) assuming d is positive.\nAnswer: d**(-89\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9257986 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/6)\/(v*v**(-2\/39)*v))\/(v*v*v**8)**(5\/2) assuming v is positive.\nAnswer: v**(-705\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15*v**2 + 127*v - 17. Let w be c(-9). Let x(u) = u**2 - 2*u + 55. Let g be x(0). Is g equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-75)*-5*220\/33. Calculate the remainder when 86 is divided by (-2)\/((8\/(-13))\/q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 4*q**2 + 3*q + 20. Let a be k(-3). Solve j + 2*j = -5*x - 5, 2*x - 3*j + a = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 21 = -2*g + 9, -5*g = 4534*z - 4531*z - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08596 and 9970621.\nAnswer: 9970621.08596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32797031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7*28\/15*10\/(-24))\/(-9).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5189.895 nanograms to kilograms.\nAnswer: 0.000000005189895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 542*j = -544*j + 3167, s + j = 634. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzzzgzzzzzzz. What is prob of sequence zg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0)\/(2*(-9)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*v = 37, -11*l = -15*l + 4*v + 4 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2729? (a) -1\/5 (b) 1 (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7368*y + 324193. Give d(44).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7 = -5. Let k be (2\/(-2) - 0)\/(-1). Is w less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.315 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:56 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 30014200*c + 45042610082000.\nAnswer: 5*(c - 3001420)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 + 2 + 346*o + 565*o - 1260*o - o**4 to b*o**3 + d*o**2 + a + g*o**4 + x*o and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1804261*p + 1804261*p + 5*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/3 + 52\/39. Suppose 3 = 2*o - 3. Solve w*i = 3*d + 3, 7 = -i + 3*i - o*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -9\/7, -100, 0.09, -0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -3*b + 55, -4*h + 54 + 17 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - o - 3 = 0, -36*o = -4*p - 38*o - 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0 - 3 - t + 0*t. Let u be j(-9). Let x(o) = 2*o - 8. Does 4 divide x(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13083, -13116, -13173, -13254?\n\"Answer: -12*q**2 + 3*q - 13074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118036\/5487735 - -26\/1185. Let j = f - -263947\/46310. Calculate the common denominator of -103\/14 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/2, 0.006, 2\/19?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -146393.\nAnswer: 146392.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 1\/2*m**3 + 5\/2*m**2 + 0 - 5\/12*m**4 - 65*m + 1\/20*m**5. Suppose -2*s - 2*s = -16. Determine u(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -798 (base 13) to base 10.\nAnswer: -1308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -25*z**4 + 10*z**3 + 99*z**2 - 40*z + 4 = 0.\nAnswer: -2, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 910098 divided by -186.\nAnswer: -4893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617) + sqrt(1617)*-4)\/(5*sqrt(108)).\nAnswer: -7*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/5))**(9\/10)\/(g\/g**(-7)*g*g**(-2\/39)))**22 assuming g is positive.\nAnswer: g**(-203533\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12760 and 2915?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 = 3*q - 2*m, 4*q + 5*m = 28. Solve 0 = 2*g + q*k - 4, -k - 2 = -2*g - 4*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 10:37 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 56. What is the remainder when 35 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 16192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 3. Let j(q) = q**2 - 21*q + 35. Let a be j(22). Suppose 21*m - 2*m + a = 0. Determine b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*k + 25 = 0, -5*k + 9 = -2*l - 6. Suppose 18 + 42 = l*h. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovovoo. What is prob of sequence vo?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 3*p**2 + 9*p**2 + (0 + 2 - 1)*(2*p - 2*p - p**2))*(0*p + p - 2*p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 730 - -569. Suppose 0 = 2*d + 3*r - 8*r - 3303, 3*d = -5*r + 5017. Let q = d + u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-9) + (-18)\/(-81). Suppose 0 = -p*j + 7*j - 4. Let r(i) = 27*i**2 + i. Is 10 a factor of r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4560 = -3*p + 8*p. Let y = p - -1301. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 6:13 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2\/7 - 11260*j\/7 + 11258\/7 = 0?\nAnswer: 1, 5629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -12232*i + 3239*i - 4951*i - 4761*i as s + f*i and give f.\nAnswer: -18705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**8\/1344 + 5*i**7\/168 - 9*i**6\/160 - 5*i**5\/48 + 13*i**4\/48 - 807*i**2. Determine d, given that x(d) = 0.\nAnswer: -26, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170944647 to the power of 1\/2, to the nearest integer?\nAnswer: 13075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((7 + -14 - -7) + 11 + -71)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9)*9*65\/(-156)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 27. Let f be (-2)\/(-8) + ((-102)\/40)\/(807\/1345). Determine a(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/13 - ((-18)\/(-8) + (-83958)\/24024)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/12)*x**(-3)*(x\/(x*x*x\/x**6*x))\/x**11)**(-10\/9) assuming x is positive.\nAnswer: x**(665\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjldxx. Give prob of sequence jlxx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 2*c - 4 = -6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 11*r**2 - 10*r - 2. Let k be b(-8). Let w = -1351\/5 + k. Put -0.51, 0.2, w in ascending order.\nAnswer: -0.51, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 82 + 44. Let f(q) = 2*q**2 - 6*q - 12. Let d be f(7). Let r = d + l. Solve r*c - 3*o - 1 = 0, -5*c + 3*c - 3*o = 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5473 + -3252. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28225 at most as big as 28010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4752)\/144 - (-1590)\/42\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 115*i - 15 + 35 + 114*i - 231*i. Let c(b) = 2*b - 21. Determine 3*c(x) + 4*y(x).\nAnswer: -2*x + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmopvplomor. What is prob of picking 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 w when three letters picked without replacement from {w: 4, q: 6, m: 1, e: 2}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 13*q - 3 - q**2 - 2*q**2 - 11*q + q**2. Calculate z(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324 + -320. Solve -y*u = -3*f + 1, 3*f - 2*u + 0*u = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3 = -m + 2, -4*q - 3*m - 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 26*m**2 + 56*m - 1. Does 24 divide y(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2853 - 5247 - 4836 = -21*b. Calculate the highest common divisor of b and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000545 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 10*b**2 + 23*b - 20. Is 6 a factor of w(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - -1*sqrt(70)*-1)\/(1*sqrt(810)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -679 + 665. Let l = -18 - -10. Which is bigger: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00230891725 rounded to 7 dps?\nAnswer: 0.0023089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29580 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2*m + 10 = 0, 4*j - 12*m + 22193 - 22173 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930968743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4447 + -4446.6. What is the smallest value in k, -0.4, 1, -4061?\nAnswer: -4061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 21050*c**2 + 52628974*c - 14694908426.\nAnswer: 2*(c - 253)*(c + 5389)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*g - 52 = 166, -186 = 3*x + 3*g. Round x to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*u - 29 = 29*u + 1577 - 206 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2755 + 8 + 3*(-49)\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.776 - 1.8. Let j = 0.024175 + l. What is j rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 247*g**8\/28 - g**4\/12 + 466*g**3\/3 - 47*g**2 - 11. Find the second derivative of f(d) wrt d.\nAnswer: 59280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.83 times -1?\nAnswer: -12.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 25.4919 + -1361\nAnswer: -1335.5081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-33)*110\/135*9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*x - 0*z - 1512, -5*z + 750 = 2*x. Calculate the remainder when x is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 1, c: 2}. What is prob of sequence ecb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22\/1149 + -65157\/4213. Let i be 47\/((-9)\/(2 - -1)). Let r = i - x. What is the second smallest value in -2, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1586 - 1280. What is the remainder when 1525 is divided by i?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-2)*(101 + -74). What is the highest common divisor of 45 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*6\/(96\/14)*(-64)\/(-16)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - 2) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - 0.53. Let c(f) = 31*f + 282. Let w be c(-9). Sort w, 4, l, 0.5.\nAnswer: l, 0.5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4036 + 3?\nAnswer: 4039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/(69\/897)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - q**3 + 0*q**4 - 2*q**2 + 0*q**4 - 23 - 5*q**4 + 48 - 7*q to the form c*q**3 + x + p*q**2 + s*q + u*q**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/81 and -79\/18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2783*a - 3141*a - 5751 = 82347 + 30382 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/6*4\/6. Let c be (-12 - -12)\/(0 + p). Let k be (-2)\/4*(0 + c). Let n(d) = -d. What is n(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 - 29\/(-9). Suppose 9 = b*s + 6. Let q(h) = h**3 + 2*h + 1. Let u(a) = a**3. What is s*q(i) - 3*u(i)?\nAnswer: -2*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -1 + -1 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = -5. Suppose -4*t + 5 + 3 = 0. Suppose -m + 5 = 2*m + t*f, -y*m + f = -30. Solve -46 + 6 = m*q + 5*k, 2*k = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 0. Let i be (0 + 1 - 0) + 16. Suppose -15*y - 6 = -i*y. Solve w*x + x = -y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 122\/7?\nAnswer: 122\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (-6*sqrt(77)*-2 - sqrt(77)) + sqrt(77))\/(sqrt(55)\/sqrt(5)*1))**2.\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2297, 2296, 2295, 2294?\n\"Answer: -z + 2298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3455, 6755, 9913, 12929, 15803?\nAnswer: 18535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 0*s - 8*s + 5*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 + 26*m + 56. What is r(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1984.51 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -8*w**3\/3 + 9*w**2\/2 - 7*w - 1. Let z(h) = 4*h**2 - 4*h + 3. Let i be (-8236)\/4147 + 26\/(-1859). What is i*a(n) - 5*z(n)?\nAnswer: -4*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 554644\/131 or 4233?\nAnswer: 554644\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 760 = -6*q. Which is the second smallest value? (a) q (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/((-117)\/(-156))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s - 12. Let j be i(-8). Suppose 0 = f - 5*f + j. Let p = f + -7. Sort -4, p, -2 in descending order.\nAnswer: p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(-10)*j*j\/((j\/(j\/j**(1\/3)))\/j))**(2\/23) assuming j is positive.\nAnswer: j**(94\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20865774?\nAnswer: 2, 3, 1013, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107131.557 take away 0.0617739?\nAnswer: 107131.4952261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -212, 0, 27 in ascending order.\nAnswer: -212, -5, -4, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/61 (b) 15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1485174053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/633)\/((-2)\/(-4)). Let a = 62032 + -62032. Does a = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 4 + 4 + 4. Let f be v(-4). Solve -3*n = -3*s + f, 15 = -4*n - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54382085 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -1.7. Let r(k) = -k + 6. Let y = 25 + -23. Let u be r(y). Which is the smallest value? (a) 0.1 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**2 + 158840*b - 158845 = 0.\nAnswer: -31769, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -17. Calculate the lowest common multiple of 9 and ((-2 - 4) + 0)\/a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m**(-1\/5)*m)\/m)**(-3))**(-33))**(-10\/3))**(-10) assuming m is positive.\nAnswer: m**2640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2223 (base 4) in base 5?\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 - 79*v + 4 - 5*v**3 + 94*v - 19*v**2. What is the hundreds digit of d(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p + 16*p**3 + 3 + 2*p**2 + 20*p**3 - 52*p**3 - 4*p**2.\nAnswer: -16*p**3 - 2*p**2 - 21*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 3032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/48*4\/(-14). Sort -4\/9, z, -1.6.\nAnswer: -1.6, -4\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 3*p)*(-10*p - 404 + 404).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2579, 8822, 19239, 33830, 52595, 75534?\nAnswer: 102647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520277032 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11342 (base 6) in base 7?\nAnswer: 4541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1283 + -445. Suppose 0 = w + w - j. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 60 = 4*l. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-18))\/(12\/36).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*z**2\/9 - 1058*z\/9 - 308\/9.\nAnswer: 2*(5*z - 77)*(7*z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -2. Suppose 1 = o + l. What are the prime factors of ((-24)\/o)\/((-9)\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - 127. What is the least common multiple of f and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p. Let j be (11 - 1)\/(2 - p). Let u be 2\/6*(3 - 6). Sort j, -4, u in decreasing order.\nAnswer: j, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5782)\/(-9912))\/((-7)\/(-32))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -227024773?\nAnswer: -227024770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/3908 and 113\/821114.\nAnswer: 1604456756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -3, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 97713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-2) + 0 + 2. Let c = 8 - h. Let g(l) = -l**3 + 4*l**2 - 3*l + 4. Determine g(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - d + 1. Let f be p(1). Let r(x) = 2*x**2 + 2*x + 3 + 3*x**f - 5 - 1. Let t be r(3). Calculate the greatest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-678)\/113*(-3)\/(27\/(-12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhttxxxethxd. Give prob of sequence xx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - b - 5)*(2*b**2 + 3*b**2 - 4*b**2) + (18*b**2 - 34 + 34)*(-b + b - b) - 4*b**3 + b**3 + 0*b**3)*(b - 9*b + 2*b + 2*b**2).\nAnswer: -44*b**5 + 132*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2080 = 4*s + x, 2*x = -4*s + 2080. Let n be ((-1)\/2)\/((-66)\/660). Calculate the greatest common divisor of n and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 >= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + 0.2. Let g = 11.8 - 13.62. Let h = g - 0.18. Which is the smallest value? (a) z (b) -2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -10, -1\/4, -2\/7 in ascending order.\nAnswer: -10, -2\/7, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800 = -5*t - 0*t. Let b = 83 + t. Let p = -26 - b. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 9*s - 17. Let z be c(6). Sort z, -5, -1 in decreasing order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.3, -1, -0.21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 2, o: 4}. Give prob of sequence bbj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1372*b*y**3 - 911*b*y - y**2 wrt y.\nAnswer: -8232*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 33*h - 16. Determine q(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*-1*2\/(-18). Let i = 4408 + -119014\/27. Sort -0.5, c, i in descending order.\nAnswer: c, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 - 330. Let n = 168 + o. Solve 0 = 7*f - n*f - 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*y - 3*y - 85, -5*x + 2*y + 110 = 0. What is the smallest common multiple of 16 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 1:27 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(4*f - 2*f + f)*(-f + 4*f + 0*f + (4 - 4 - 2)*(-1 + 1 + 2*f) + (0 + 5 - 4)*(8*f + 2*f + 3*f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 12. Let o be k(6). Let v be 2\/2 + o\/(-3). Let t(u) = -4*u - 4. Let x(l) = l + 1. Let b(d) = -t(d) - 3*x(d). What is b(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.023085?\nAnswer: -0.0069255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*l + 73, 4*l - 74 = -3*y + y. Let a = 34 - l. Round a to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 9387.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 6*w + 2*w - 2, 1 = k + 4*w. Let y = -0.0286 - -0.1186. What is the closest to 0.1 in k, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 9:14 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 4 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/8*4\/6. Suppose 105 = 17*c + 88. Is b < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2886 = -5*i, -m = 10 - 13. Calculate the greatest common factor of 72 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -27. Suppose 0 = l*g - 7*g + 415. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*g)\/g**(-7)*(g*g**(2\/5))\/g**(-5)*((g*g*g**(2\/25)\/g*g)\/(g**(2\/13)*g))**43 assuming g is positive.\nAnswer: g**(15348\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - 3.85. Let w = m - -2. Let q = 0.1 - 0.2. What is the second smallest value in q, 0, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*d**2 - d**3 - 508*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63440 - 63404 - 2*w**2 + 3*w**2.\nAnswer: w**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**2 + 8*t**2 + 1 + t**2 + 25*t**3 - 9*t.\nAnswer: (t + 1)*(5*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from ydafy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -10988.\nAnswer: 1\/2747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 3, 0.26, -35 in increasing order.\nAnswer: -35, 0.26, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -0.1, 4, -15\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 2\/11, -2, -2\/277?\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88358 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007129 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 5:13 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2894 - -2940. Calculate the remainder when 207 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236633?\nAnswer: 83, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 4997284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18810.6 - -18811. Which is greater: 1097 or y?\nAnswer: 1097","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 619*h**5 - h**2 - 25*h?\nAnswer: 12380*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200*d*o**2*s - 373*d*o**2 + 6*d*o + 27*d*s + 3*o**2 wrt s.\nAnswer: -200*d*o**2 + 27*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from joknnnoookjnnknkjj.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957700299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -435, -3.\nAnswer: -435, -3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0 - 1\/12*y**4 - 87*y**2 - 24*y**3 + 0*y - 1\/15*y**5. What is the first derivative of d(r) wrt r?\nAnswer: -8*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 9:44 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h - 74*h**3 + 121*h**3 + 7 - 11*h**2 + 2 - 65*h**3 - 1. Let j(l) = 6*l**3 + 4*l**2 - 3*l - 3. Calculate 8*j(m) + 3*r(m).\nAnswer: -6*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 920.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 1. Let p be u(-2). Let t be (-2 - -4) + (2 - p). Calculate the greatest common divisor of t and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142072 is divided by 166.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111012 + -2?\nAnswer: -111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10592190 divided by 1173?\nAnswer: 9030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(-2*sqrt(7)) - (sqrt(240) - (-1*sqrt(240) + sqrt(240))))\/(sqrt(432)*-2 + 6*sqrt(3)*-2).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -403.8 - -403. Sort 1\/3, 3, c, 2\/25 in descending order.\nAnswer: 3, 1\/3, 2\/25, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 + 7 = -n, 2*n = -5*v + 21. Suppose d = -v*b - 7049975, -6681138 - 14468847 = 3*d + 3*b. What is d rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)\/(8\/(-2)). Let y = -322.0265 + 0.0265. Let w = y - -325. Which is the biggest value? (a) i (b) 5\/4 (c) -6 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3405040 and 1178.\nAnswer: 64695760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w + 5*w + w + 5)*(2*w**3 - 2*w**3 + 3*w**4).\nAnswer: -6*w**5 + 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*l + 4186 = 37186. Calculate the remainder when 480 is divided by l.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012438 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 1. Let s(g) be the second derivative of 8*g**4\/3 + 821*g + 4. Give k(s(y)).\nAnswer: 96*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 788.7241 micrograms?\nAnswer: 788724.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, b: 11, i: 1}. Give prob of sequence nbb.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-15) - (-3972)\/9. Suppose 5*d = -j + 101, 0 = -5*j - 4*d - 0*d + y. Calculate the remainder when j is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-30))\/7 - (-8)\/(-40)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjw when three letters picked without replacement from jwww?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -3*w - 8*j - 108, -37 + 14 = -2*w + j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 16*l - 5. Let v be n(23). Suppose -v = -5*i - 5*s, 3*i - 187 = s + 212. What are the prime factors of i?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3369675 (base 12) in base 11?\nAnswer: -5614a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 6*y. Let a be q(-5). Let v = a - -7. Let p(t) = -t + 3. What is the units digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -1d1?\nAnswer: 1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i - i**2 - 2*i**3 - 8*i + 4*i + 0*i**2 + 2*i**3 + 0*i**2 + (-i**2 + i - i)*(-3*i + 3*i - 3*i) - 4*i**3 + 2*i - 2*i.\nAnswer: -i**3 - i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - 73.7. Let p be 1\/5 + ((-3048)\/10)\/(-6). What is the nearest to -0.1 in p, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2586, 2582, 2566, 2532, 2474?\nAnswer: 2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772069703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128952 and 7006392?\nAnswer: 21019176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 647190?\nAnswer: 1294380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74 - -71)*-1*3\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + j**3)*(-19 + 2 - 8)*(51 + 50 - 99).\nAnswer: -50*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 10. Determine j(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -250 - -265. Solve 0 = -5*x - 0*x + i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/3 + 422602*f**2\/3 - 1690382*f\/3 + 422594 = 0. Calculate f.\nAnswer: 1, 3, 211297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.12. Let x = h - -261.12. Let d = -260.999871 + x. Round d to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 25212.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 + 285. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 10, c: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:19 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-24) - 5\/(-2). Suppose -a*t + 3*g = -0*t - 219, -3*g = -4*t + 447. Let b = 33 + -10. Calculate the remainder when t is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 29. Which is greater: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 36 + 20 + 1 + 5 - 5 + 0 + 3 - 1 + (0 - 4 + 2)*(-2 + 1 - 1) + 1 + 3 - 6)*(-y**4 + 2*y**3 - 2*y**3).\nAnswer: 17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 13*k - 10*k = -96, -5*k + 83 = 4*b. Let f be -1 - 4\/(-1) - (b - 25). Let a(n) = 123*n**3 + n**2 + 4*n - 4. What are the prime factors of a(f)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/2 - 60\/(-20). Suppose -q - 2*q - f = 7, 0 = 3*q + 4*f + l. Let t = -0.1 + 0.2. Which is the second smallest value? (a) 2\/9 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2212 and 19908.\nAnswer: 19908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - -267*(-2)\/24. Which is bigger: s or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 156)\/(-6) - 522\/54.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*l*y**3 + 66*l*y**2 + 26*l + 5 wrt y?\nAnswer: -12*l*y**2 + 132*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-5 - -13)) + (-2 - -3) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r. Let a(m) = 6*m**2 + 9. Let o(c) = a(c) + 2*w(c). Let t be 4\/3*(-1 + 4). Is o(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53835823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k + 32 = 0. Suppose 7*h = k*h - 20. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g - 12. Let s(m) = 5*m + 6. Let q(w) = 4*j(w) + 7*s(w). Let h be q(-8). Solve -5*x = 5*v + 10, -h*v = -0*x + 3*x + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p**5\/3 - 74*p**4\/3 - 42*p**3 - 12*p**2 = 0.\nAnswer: -1, -3\/8, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5630 divide 363110757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8.4*-2108.7\nAnswer: 17713.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 15. What is the greatest common factor of j and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82553112 divided by -4.\nAnswer: 20638278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8403481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**8*(f**(-2\/9))**13 assuming f is positive.\nAnswer: f**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 173*w + 1908. Let t be x(-11). Solve 7 = 2*b + r + 1, 0 = -4*b - t*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2544 = 138*v - 58*v + 132*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 - 3*f - 43. Let p(y) = -8*y**2 + y + 35. What is 3*a(h) + 4*p(h)?\nAnswer: -11*h**2 - 5*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 + 1.4. What is the nearest to -1\/4 in i, 5, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 2:23 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683793, 2735395, 6154731, 10941801, 17096605, 24619143?\nAnswer: 33509415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v)**(-20) assuming v is positive.\nAnswer: v**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l**(-1\/14)\/l)\/l)\/l*l)**(5\/6)*l**(-25)*l**31 assuming l is positive.\nAnswer: l**(143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2\/(-6)*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/87 (b) 1894 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (5 - 4 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 13*l**2 + 5*l + 2. Is w(-14) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b - 5. Let i(s) = s**2 + 15*s + 5. Let z be i(-15). Let p(c) = c**3 + 4*c + 6. Determine z*p(j) + 6*g(j).\nAnswer: -j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51142?\nAnswer: 2, 7, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2. Suppose 7 + 5 = 2*n. Let a(d) = 15*d**2 - 6*d. Let b(j) = 14*j**2 - 5*j. Let i(k) = n*b(k) - 5*a(k). What is i(o(u))?\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q - 61. Let y be i(8). Let h be 2 + 2*(2 - -3). Solve h = -y*r - r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t**2 + 18*t**2 + 14*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*p + 12. Suppose t + p*t - 156 = 0. Differentiate 31*c + t + 6*c**4 - 68*c + 35*c with respect to c.\nAnswer: 24*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7460, 60318, 203862, 483434, 944376, 1632030, 2591738?\n\"Answer: 7557*o**3 + o**2 - 44*o - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 19*u**2 - 2*u - 1. Let x be a(-1). Suppose -g = 5*i - 24 - 26, -2*g + x = 2*i. Suppose 2*m - 4*m = -i. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q + 4. Let w be s(-3). Let o(n) = 10*n - 3. Let x(h) = -11*h + 4. Let p(k) = w*x(k) - 3*o(k). Let t = -7 - -8. Calculate p(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 a when three letters picked without replacement from {a: 15, k: 4}.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let l(q) = -q**3 + 5*q**2 - q + 6. Let m be l(5). Let p be k(m). Let y be 2 + p + (-12)\/20. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -294d37 (base 15) to base 12.\nAnswer: -800144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/10 + 3\/9. Let d = 3.6 + -1.6. Let u = 1 + -2. Which is the nearest to 2\/5? (a) d (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (-1 - (0 + 3)). Suppose 5*j + 1 = r + 2*r, 2*r - j - u = 0. Which is the second biggest value? (a) 4\/3 (b) 0.1 (c) -0.3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4740 - 4740 - 731*u in the form c + m*u and give m.\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 9. Suppose 5*c + 6 = 16. What is the smallest value in c, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -5 - (13 - 6 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 11:57 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 99 = -w + 6*u, 0 = -w - 2*u + 119. Find the third derivative of 0 + 23*t**2 + 71*t**2 + 3*t**2 + t**6 + 0 - w*t**4 wrt t.\nAnswer: 120*t**3 - 2664*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:33 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42299.\nAnswer: 42299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*12\/(-30) + (-2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*n + 6, 4*n = -5*y + 2047. What is the remainder when y is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -421, -1862, -4263, -7624, -11945, -17226, -23467?\n\"Answer: -480*c**2 - c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/4 + y**4 - y**3 - 4*y**2 = 0.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/254504 or 0?\nAnswer: -7\/254504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/132576442?\nAnswer: 3\/132576442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57120 and 3129?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 110 = -2*b, 57*o - 52*o - 5*b - 65 = 0. Let z(w) = w + 56. Let a be z(0). Calculate the highest common factor of a and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + ((-8)\/(-2) - 4). Let g = -55 + 69. Suppose 10*o - g*o - 4 = 0. What is the closest to o in t, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -78\/17*f**2 - 2\/17*f**3 + 336\/17*f - 344\/17.\nAnswer: -2*(f - 2)**2*(f + 43)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + 5 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**8\/6720 + l**7\/630 - l**6\/144 + l**5\/40 - 17*l**4\/12 - 60*l. Let y(p) be the third derivative of z(p). What is y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l**3 - 4*l + 6. Let i(t) = -7*t**3 - 8618 + 11*t + 8601 - 22*t**3. Give -6*i(r) - 17*k(r).\nAnswer: 4*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*q - 151, 4*q - q + 5*p - 163 = 0. Find the second derivative of 38*d - 60*d + 5 + 28*d - q*d**2 wrt d.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*d = 174*d - 2694. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1056 + 696. Let w be (126500\/33)\/(2\/o). What is w rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9267 and 6.\nAnswer: 18534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11716795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/1 + (-272)\/6)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 + 7*k**2 + 10*k + 2. Let s be o(-2). Let i be ((-152)\/26 - s) + 20\/715. Factor -i*b**2 + 4\/11 - 2\/11*b.\nAnswer: -2*(b - 1)*(b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23837086 is divided by 7139.\nAnswer: 7104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408870073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.6 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 5*u - 5. Let o be g(-7). Suppose 2*t - 4*t + 72 = 0. Calculate the remainder when t is divided by (-49)\/(-4) + o\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 190?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {e: 4, i: 3, w: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 825698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3733 less than or equal to -3986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -626*b + 9. What is the smallest common multiple of 153 and n(0)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 24.7, -1\/9, -0.2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.813*-3867.\nAnswer: -76616.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-8)*(36322\/429 - 90)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -74. Suppose z + 15 = 39. Let y = z - 12. Solve -2*c - n = 2*p - 3*p, -p = 5*c + y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166\/5 + -503\/15. Let n = 177.075 + -177. Put 1\/6, p, n in decreasing order.\nAnswer: 1\/6, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylylylllvyvylllly. Give prob of picking 4 l.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1735485 + 98188.\nAnswer: 1833673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n + n)*(3*n - 2 + 2)*(-607*n**3 + 187*n**3 - 271*n**3).\nAnswer: -4146*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 66, 106, 144, 186, 238, 306?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpbwfop. What is prob of sequence pp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-1240))\/(12\/16)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-5)\/((-35)\/7))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 3, a: 1, b: 6, m: 2}. Give prob of sequence mmb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8720)\/(-1118340)*(27\/2)\/(-3).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2358 = 14*x - 2456. What is the greatest common divisor of x and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4 - 4 - 2*i + 2 - 6*i. Let z be f(-3). Let x be z\/(-30) + (-7)\/(-7). Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, w: 9}. Give prob of sequence dwd.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12448 (b) 150 (c) 9 (d) -0.4 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 25 = -3*f. Let g be -2 + 2 + (0 - -4). Suppose g*s = s + f. Solve s*t - 3*l = 3, -2*t + 4*l = 2*t - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0 + 0*s**6 + 0*s**4 + 0*s**5 - 1\/3*s**3 + 83*s - 8*s**2 + 47\/42*s**7. What is the second derivative of o(l) wrt l?\nAnswer: 940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87683 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*o = -o - 7, 5*o + 17 = d. Let j(t) = -5 + t - 3*t - d*t + t. Does 5 divide j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6447173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-112)\/(-52)) + 4760\/1365?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.2 (b) -2469755 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y**2 + y**2 - y**2)*(-6*y**2 + y**2 + 3*y**2) + 2*y**3 - 2*y**3 + 2*y**4)*(-3 + 4 - 3).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 3. Let w = n + 52.99993. Round w to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 18. Let j = -6371 + 6381. What is the least common multiple of j and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and ((-1)\/(2\/(-14)))\/1 + (-1995 - -2393)?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*l**3 + 0 + 2\/3*l**2 + l.\nAnswer: -l*(l - 3)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6576 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88610?\nAnswer: 2, 5, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**7\/70 + m**5\/30 - 2*m**2 + 4*m. Let y(r) be the first derivative of u(r). Find the third derivative of y(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 864\/105 - 20\/(-25). Which is the closest to 0.1? (a) -2 (b) q (c) 1\/6 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 - -681150716827\nAnswer: 681150716878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/4 - 4*z**3\/3 + 3*z**2\/2 + z + 1. Let r(c) = -5*c + 93. Let u be r(18). Let g be n(u). Which is smaller: 3\/8 or g?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 5 - (-2 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66708, 66709, 66710?\nAnswer: 66711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3308.367 - -3308.4. Let j = -1.9 + 2. Which is greater: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 59008 and -1.71.\nAnswer: -100903.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.089 + 0.13. Let t = b - -0.159. Let g = 3.05 + -0.05. Put 0, g, t in descending order.\nAnswer: g, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = -y + 8, -2*m - 10 = -4*y. Suppose 0 = 2*o + y*a - 2, 5*a - 4 = -4*o + 20. Calculate the remainder when 34 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374579?\nAnswer: 83, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3 - 1426*k**2 - 234260*k - 690000 = 0.\nAnswer: -460, -250, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 239*v**2 + 28392*v - 1039860.\nAnswer: -(v - 318)*(v - 30)*(v + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10\/8)\/((39\/(-51864))\/(-13))?\nAnswer: 2, 5, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 = -5*w - 2, 4*w = -3*s + 23. Suppose -275 = -w*b - 3*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j + 21*j - 9*j - 7*j - 13*j. Let x(w) = 7*w**2. Give d(x(y)).\nAnswer: -105*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t - 6*t**2 - 6*t - 5 - t. Let q(p) = -7*p**2 - p - 4. Let x(r) = 2*q(r) - 3*v(r). Find the first derivative of x(b) wrt b.\nAnswer: 8*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2132777980 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -2, -21, 0.2, -3\/2, -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -739*j**6 + 9*j**5 - 380*j**2 - 21*j wrt j?\nAnswer: -88680*j**3 + 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666 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: Calculate -12 - -13 - (-7 - (-6 + 4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - 3.2. Let z = -1 + 0. Which is the closest to z? (a) -4 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*d - 65*d - 199*d = 263*d - 53058 for d.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564337*r = -3*h - 564330*r + 72, -r - 2*r - 120 = -5*h for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2802.267 - 258.277. Let q = z + -2558. Let l = 14 + q. Which is greater: -2\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -29*q - 57. Determine u(6).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -829, -1875, -3999, -7579, -12993, -20619, -30835?\nAnswer: -44019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 + 46)*(5*u + 3 - 4 + 1).\nAnswer: 260*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26745879?\nAnswer: 3, 17, 524429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/647 and -43\/118587.\nAnswer: 76725789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 1:18 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 + 145. Let l = -3 - -3.1. What is the closest to 1\/2 in 2\/7, l, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(7) + -2*sqrt(21)\/sqrt(3) - sqrt(77)\/(sqrt(11) + sqrt(396)))**2 - ((-1 + sqrt(7))*-5 + sqrt(7) + 1*(sqrt(7) + 3 - sqrt(7)))).\nAnswer: 29\/7 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 3*f + 5*k - 34, 3*f + 5*k = 16. Let i = 0.1 - 0.6. What is the third smallest value in 2, i, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*4*(sqrt(720)*-2 + 3))**2.\nAnswer: -33792*sqrt(5) + 739216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y - 29 + 10*y - 16*y. Let p be d(13). Is -3 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynfhsryhsfsf. Give prob of picking 2 h and 2 y.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -5*j + a + 52, 280 = 5*j + 4*a. Let m = 30 - j. Is m at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3 = 4*j - 5, 14 = 4*j - m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000288439602 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130 - (82 + 31)) + 63 + 0 + -1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 80808669934328*o**2 - 80808669934328*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnln. What is prob of sequence nl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 18*t - 21*t + 12, 26 = k + 5*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144 at most as big as 3145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98838 is divided by 8232.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3356 is divided by 434.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/3 + n**3 - 9*n**2\/2 + 10. Let q(y) be the second derivative of u(y). Find the first derivative of q(z) wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -23\/2. Factor -3\/2*h**2 - j - 2*h.\nAnswer: -(h + 1)*(3*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(704) + -2))**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*(l\/l**(-5\/3)*l*l)\/l)*l*l\/(l\/(l\/l**(2\/9)*l*l*l))*(((l*l*l*l**(-4\/7)\/l)\/l)\/l)\/l*l*l*l*l*l**(-2\/9)*((l**(-2\/5))**44)**(-19) assuming l is positive.\nAnswer: l**(106381\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -96 (c) 9.3 (d) 2 (e) -397\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (31 - (8 + (9 - 16))) + -6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/132)\/((-390)\/(-468)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 + s**3 - 5*s**3 + (-2*s + 2*s - 2*s + (-3 + 3 - 2)*(2 + s - 2))*(108*s**2 - 4343*s + 4343*s).\nAnswer: -433*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240693.\nAnswer: 3, 80231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369476 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 16. Let p(m) = -s + 2*m**2 + 3*m - m**3 + 1 + 7 - 4. Suppose -2*r + 4 + 2 = 0. Determine p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three eighths of a century?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -o + 10, -2*z - 10 = -7*z + 5*o. Suppose m + 2 = 2*m, -z*t + 5*m = -1766. What are the prime factors of t?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7270 + 12662. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88600554 is divided by 6547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 2100?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 289 + -38. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 54. Let s = 28 - k. Suppose -s*a + 100 + 664 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*q + 246*q + 50*d = -125, 2*q - d - 31 = 0 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1808134654, -3616269307, -5424403960, -7232538613?\nAnswer: -9040673266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -9. Suppose -3*u + g = -2*u. Suppose -4*h + 6*l - l = 11, u = 3*h + 2*l. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 0, 3*z - 3*r + 495 = -r. Let p be 8\/(-10)*z\/22. Suppose p*o + 92 = 7*o - 4*u, 2*o - 234 = -2*u. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*a = -5*a - 21, 0 = -4*x + a + 27. Let q be 4224\/(-78) + -4 + x\/39. Let u = q - -61. Solve -u*y + 2*y = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t. Let y(c) = 1990*c. Give k(y(x)).\nAnswer: -11940*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)*w*w*w\/(w**(-24)*w)*w)**19)**(-17) assuming w is positive.\nAnswer: w**(-7106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 1. Let j(q) = 1 - q + 1 - 3 - 2*q. Let s(p) = 4*c(p) - 2*j(p). Let t(d) = d - 1. Let h be (32\/(-56))\/((-1)\/7). Determine h*t(w) - 3*s(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-200)\/75*6\/4. Let r = -7 - -11. Let u be (r\/50)\/(3\/15). What is the second biggest value in u, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1663564683 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28693480 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (52 + 303\/(-6))\/(1 + 31\/(-28))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10551.5 from -16.2.\nAnswer: -10567.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1158, 0.5, -0.5, 1\/3 in decreasing order.\nAnswer: 0.5, 1\/3, -0.5, -1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 343092.1 (b) -6 (c) -4 (d) -0.3 (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*i - 6*i. Suppose 0*f + 2*f + 12 = 0. Let o = 9 + f. What is the smallest common multiple of i and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.6721 rounded to one decimal place?\nAnswer: 36.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3130529096 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) -7 (c) 1\/3 (d) -5\/3 (e) 2 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3207, 3326, 3445, 3564?\n\"Answer: 119*x + 3088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -5443.11?\nAnswer: 1088.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 103.4? (a) 2 (b) 7 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.016 - 0.204. Let v = w - -0.18. What is v rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4)*-4 - sqrt(18) - sqrt(18))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q**3 - 8*q**2 - 2 + 0*q**2 - 15*q**3 + 29*q**3 in the form g + b*q + t*q**2 + v*q**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 8967*x - 80407089\/2.\nAnswer: -(x - 8967)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 39. Put -0.2, -0.83, m in descending order.\nAnswer: -0.2, -0.83, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-10))\/(((-216)\/(-45))\/12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0 - (-13 - (-7 + -13))) + -6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1346*q - 258482. Calculate l(-192).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 43563*o**2 + 157598637*o + 3967239675.\nAnswer: 3*(o - 7273)**2*(o + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f + 70 = 0. Let n be (-4)\/(1 + -3) + 2 - 0. Let u be 14*(((-25)\/(-1))\/(-5) + n). Is f bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -94, -86, -72, -52?\n\"Answer: 3*b**2 - b - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*x + g - 28, 0 = -5*x - 4*g - 46. Let a = x + 15. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -64. Factor 3\/2*f - 1\/2 - f**m.\nAnswer: -(f - 1)*(2*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 8.043945?\nAnswer: 48.26367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205874?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9cd7 (base 14) in base 5?\nAnswer: 1332422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = -4*y - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/24 + j**3\/3 + 10*j**2. Let k be p(5). Solve -2*y - 3*t = k + 1, 0 = -4*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 5*v - 3245, 0 = -4*q + v + 1846 + 738. Is q a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -z + 5*h, -6*z + 14 = -4*z + 4*h. Suppose -j - 1 = -5. Suppose -u + 2 = j. Sort u, -1, z in increasing order.\nAnswer: z, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 251?\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -259\/302908 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p - 24. Let f(w) = -7*w - 13. Let z(c) = 11*f(c) - 6*s(c). Give z(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-6\/7)\/o*o**(-1\/3)*o*(o**(2\/9))**27 assuming o is positive.\nAnswer: o**(122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 377*t - 8216. What is c(-18)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 46*d. Let j(n) = 5*n. Determine j(y(i)).\nAnswer: 230*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jssyssssjjjsss. What is prob of picking 2 j and 1 s?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1162150512 by 1322128.\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*12\/(-8)*-1. What is the biggest value in s, -0.5, 0, -28?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000060670589 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*p + 2356, 99*f - 104*f - 5*p = -3935. List the prime factors of f.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103901 is divided by 9392.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249773, 502295, 754817?\nAnswer: 1007339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 15*t + 3. Give u(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**5)\/((j*j**(4\/3)\/j)\/j*j)*j**(-6)\/j**(-4\/7))\/((j**(2\/7)*j\/(((j\/j**(-2\/3))\/j)\/j))\/((((j**(2\/9)*j)\/j)\/j)\/(j*j**(2\/19)))) assuming j is positive.\nAnswer: j**(-5104\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 50. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 0.5, -68, -3\/164?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wywwywkykkyykk. What is prob of picking 3 y and 1 w?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(-1 + (sqrt(76) + (sqrt(76) + sqrt(76) + 2)*-6 - (2 + (sqrt(76) - (sqrt(76) + -3)))))**2.\nAnswer: -19037 - 1584*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3088*w - 86357. What is r(28)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 >= -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 29*g - 550. What is a(43)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*m**3 - 1935*m**2 + 35616*m - 33708.\nAnswer: 3*(m - 1)*(3*m - 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-292 - -254) + 61 + -6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 3. Give a(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 0.018656.\nAnswer: 8.018656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, 69, 5, -70, -11, 3 in ascending order.\nAnswer: -70, -11, -3, 3, 5, 13, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 492474\nAnswer: -3\/164158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1\/15 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321190 is divided by 734.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*p - 1197712*d**3 - d**2*p - 297*d**2 - 57*d + 73*p wrt d?\nAnswer: 6*p - 7186272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 divided by 4.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57381 is divided by 57357?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156 + 157.54. Let h = 0.77 - r. Round h to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1140314 (base 5) to base 16\nAnswer: 5356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 0) + (-20)\/8. Factor -3\/2*a - 1\/2 - 1\/2*a**3 - m*a**2.\nAnswer: -(a + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**2 - j**2)*(-1 - 2 + 1) - j**2 + 10*j**2 + 145*j - 141*j - j**2 + j**2 - 2*j**2 - j**2 - j**2 + 4*j**2.\nAnswer: 11*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.32 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54000 (base 7) in base 2?\nAnswer: 11010001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/55*5\/2. What is the closest to z in -0.3, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5722.11 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 843 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98982, 98393, 97804, 97215, 96626?\nAnswer: 96037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5734.725 and 0.4.\nAnswer: -5734.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2832.69 * 36\nAnswer: -101976.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1967 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204.132 hours in nanoseconds?\nAnswer: 18734875200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243 - -242.9759. Let d = a - 597.9759. Let v = 598.259 + d. What is v rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7650 - -2?\nAnswer: -7646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/9, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -248*x - 491. Calculate p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10c39 (base 14) to base 7\nAnswer: -230002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 + 545. What are the prime factors of h?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 119511?\nAnswer: -119507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3*h = 0, -2*d + h + 42 = 37 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, 0 = -p + 3*l - l. Let x be 0\/(1\/(1\/(-2))). Let u(n) = n - 7. Let r be u(10). Solve 3*c - 3 = p, -3*v + r*c = -x*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 4.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 1938861?\nAnswer: 1938861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mluxklf. What is prob of picking 1 k, 2 l, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 765, 797, 847, 909, 977, 1045, 1107?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 184.53 + -189.4. What is k rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-10))\/((-46)\/24 + 2). What is the least common multiple of 126\/(-105)*20\/x and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 29*g**2 - 30*g - 32. Let k be h(-28). Solve 4*w = -4*x - k, 3*w = 2*x + 7*w + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407578181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:30 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 373*r**4\/2 - 2906*r**3\/3 + 944. Find the third derivative of u(l) wrt l.\nAnswer: 4476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 990783, 990780, 990767, 990738, 990687, 990608?\nAnswer: 990495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -26*z + 2303. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -485, -23, 24, -2, 5.\nAnswer: -485, -23, -2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*y + 277 = 0, 2*y = -9*q + 4*q + 1250. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3071*n**4 + 3070*n**4 - 9227*n**4 - 5892 - 1556 + 3067*n**4 + 116*n**2 with respect to n.\nAnswer: -76*n**3 + 232*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbvo when four letters picked without replacement from vwobvovkbbvvlvlbkook.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/24 and 75\/61912.\nAnswer: 185736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*p**5 - 3477*p**4 - 531*p**3 + 2*p**2 + 2*p + 4814911?\nAnswer: -960*p**2 - 83448*p - 3186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145.889987967 + 145.89. Round h to 7 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 7*p = 8*p - 6, 2*q + 4*p = -30 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -758, -0.2, 0.1, -3\/5, -0.08?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -983420*d + 3933677. Calculate h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14 (b) 35 (c) -13 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -271, -483, -783, -1201, -1767, -2511?\nAnswer: -3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 9?\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6217, -24913, -56067, -99673, -155725, -224217?\nAnswer: -305143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -430422\nAnswer: 1\/215211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 16*i + 5. What is the remainder when 145 is divided by z(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233597 is divided by 160.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 285?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 11200000 = 4*v. Round v to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 147. Let g = -83 - -148. Let w = v - g. Which is the nearest to 1\/2? (a) 0.4 (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8644, 17303, 25978, 34675, 43400, 52159?\n\"Answer: s**3 + 2*s**2 + 8646*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 + 17*u**4 - 8*u**3 - 12*u**2.\nAnswer: u**2*(u - 1)*(u + 6)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/31, -3\/4, -1387, 2 in increasing order.\nAnswer: -1387, -3\/4, 3\/31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 7*w + 5. Let j be k(7). Suppose -1 = n + j. Let t be ((-10)\/8)\/(n\/(-1104)). Round t to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**3 - 2*p**2 + 10*p - 2. Calculate v(-3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 + 2. Let a = w + -0.4. What is the third biggest value in a, 5, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uukuuuuuuuuuuuu?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192614164.\nAnswer: 2, 1361, 35381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 86, 174, 262, 350?\n\"Answer: 88*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 11 = 3*c, 0*c + 23 = c - 5*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - v + 4640004, 7*i + 5*v = 4*i + 13920020. What is i rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -3547156.\nAnswer: 45\/3547156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7103324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4746 - -1148. Let h be (2 - 2) + 2 - l. Suppose 0 = 24*n - 20*n + h. Round n to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from hkikikhhrixrini.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/5 (c) 0.5 (d) 1\/3 (e) -0.127\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45135 or 45136?\nAnswer: 45136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 - 145. Let o = q + 127. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -29*y**2 + 6*y + 3. Let g(v) = 10*v**2 - 2*v - 1. Let c(n) = -6*g(n) - 2*w(n). Let r(d) = 0*d**2 - 4*d**2 + 3*d**2 + 2. Calculate c(r(f)).\nAnswer: -2*f**4 + 8*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**4\/4 + 3*j**3 + 9*j**2\/2 - 18*j + 99. What is the units digit of d(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 43 + 57. Suppose 14 = -2*r + 3*r + 4*u, 2*u = -3*r + 62. Calculate the smallest common multiple of r and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-15))\/(14\/168). Solve -2*y + d*x - x + 19 = 0, 3*y + 19 = -5*x 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 -33, -4, 3\/4, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-16)\/(-4) + -2). Suppose 12 = -2*h - c*h. Let t(w) = -5*w. Let y(o) = 4*o. What is h*t(q) - 7*y(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 52\/20)*5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = 5*s + 128. Let w be s + -2 + (-1 - -4). Suppose b - w = -2*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53808 divided by -3?\nAnswer: 17936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1727 from -50532929.\nAnswer: -50534656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11638*w - 60. Let k(r) = 2328*r - 11. What is 11*k(f) - 2*y(f)?\nAnswer: 2332*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -528, -13?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3947.39 + -51818.\nAnswer: -55765.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -28397?\nAnswer: -1\/28397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1155, 1235, 1427, 1785, 2363, 3215?\n\"Answer: 9*x**3 + 2*x**2 + 11*x + 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 232.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42 - (66 - (20 - -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 5, -12, -0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -11 and 14198210.056.\nAnswer: 14198199.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9215.826 weeks?\nAnswer: 5573731564800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 2*t**2 - 3*t)*(-4*t - 3*t + 4*t) + (-t + 0 + 3 - 8)*(-t**2 + 0*t**2 + 3*t**2) to the form q + j*t**2 + w*t**3 + g*t and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2595)\/1038*2\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2599.\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.99 + 0.01. Suppose 2*v = -0*v + 2*c + 4, -5*v = -3*c - 4. Let o = 11 - 8. What is the closest to v in i, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105938 by 3.\nAnswer: -105938\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5866619691 to the power of 1\/2, to the nearest integer?\nAnswer: 76594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98736949.\nAnswer: 98736949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 1 - 4*n - 2. Let k(p) be the third derivative of 5*p**4\/24 + p**3\/3 - 5*p**2. Let d(w) = -5*k(w) - 4*l(w). What is d(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/15 - 4\/4. Let f(l) be the second derivative of 0*l**4 + 0*l**3 - 1\/20*l**5 + 0*l**2 + 2*l - 1\/42*l**7 - b*l**6 + 0. Factor f(k).\nAnswer: -k**3*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 8:41 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 + 1.9. What is the second smallest value in v, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -28\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479800353 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1423 - 2144\/499473. Let p = -307\/7722 + w. Calculate the common denominator of -107\/14 and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -209, -1, -0.112, -0.1, -41 in decreasing order.\nAnswer: -0.1, -0.112, -1, -41, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w - 2. Let v = 2 - -2. Let s be k(v). Let q(z) = z - s*z + 6*z. Let f(y) = 3*y. Determine f(j) - 4*q(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 + 1 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12653 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:30 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -28. Let o(y) = -5*y + 17. Let f be o(z). Let p = f + 8. Solve -6 = -3*l + p*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmz when three letters picked without replacement from {z: 2, b: 1, a: 1, d: 2, m: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32 + 19*h + 32 + (0*h + 4*h - 3*h)*(1 + 2 - 1) + 6*h - 3*h - h + 4 - 4 + 2*h.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 53465760?\nAnswer: 374260320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*(6 + (-305)\/100). Let i = 15\/8 + r. Find b, given that -2\/5*b + 2\/5 - 2\/5*b**2 + i*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -45*t - 2. Let m(j) = 1079*j + 3240. Let i be m(-3). What is q(i)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 1:31 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 79 - (0 + 0 + 1). Suppose -4*a + 3*a = 3*j - f, -5*j = -a - 122. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*t - 10. Let g = t - -12. Let x(l) = 122*l**2 - 2*l + 1. Is x(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/558 and -131\/4446.\nAnswer: 137826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1855631901 and 4.35?\nAnswer: 1855631905.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 4*m - 2*m + 19.\nAnswer: 2*m + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18140 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.17 + 39. Let i = -0.03 + f. Let d be (0 - -6)*9*8\/324. Which is the nearest to -2? (a) 1\/5 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054394235 to the power of 1\/3, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23723\/5665 - -3\/515. Find the common denominator of h and -27\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (17 - (-15 + 6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m**2 + 4*m + 2. Let k(u) = 24*u**2 + 10*u + 5. Let b(s) = -2*k(s) + 5*p(s). Let r(h) = 1549*h**2. Give r(b(y)).\nAnswer: 6196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(14\/5)*m\/(m\/m**(-2\/11))*m assuming m is positive.\nAnswer: m**(254\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 12:18 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 19.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 equal to 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150350)\/162475)\/(6\/(-227)) - 35.\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -31*q - 1448. Let z(i) = 4*i - 12. Calculate the remainder when z(11) is divided by k(-47).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqqqiq. What is prob of picking 1 q and 2 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 2*o + 1. Let v = 19 - 11. Suppose -j + 4*j - f = v, -2*f = 2*j. Let z be b(j). Solve 4*t = 3*p + 7, -p + z = 3*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -29*f**2. Let a(g) = -25*g + 4. Let z(m) = -952*m + 153. Let x(r) = 153*a(r) - 4*z(r). What is x(y(i))?\nAnswer: 493*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((338\/117)\/26)\/(((-8)\/6)\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -344 + 369. Calculate the remainder when s is divided by 4*(4 + -1) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -61. Let a be (-2 - f\/(-4)) + -2. Solve 0 = 4*s - s - 3*u + 30, a = u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 9072*g**5 + 103986*g**4 - 62210*g**3 - 44600*g**2 - 6152*g - 96 = 0?\nAnswer: -12, -2\/9, -1\/56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 6. Suppose t + 212 = f*t. Let v be 2\/4*(t + -3). Solve -n - v = -2*n + 5*o, 4*n + 3*o + 15 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -1 - 3. Find the third derivative of 14*o**5 - 2 - 11*o**2 + 22*o**2 - 4*o**2 - 6*o**a wrt o.\nAnswer: 840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**2 + 1410*u - 64012. Calculate r(299).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17877, -35072, -52267, -69462, -86657?\n\"Answer: -17195*o - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10765 by -1.\nAnswer: -10765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24271 (base 14) to base 11\nAnswer: -60382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s**5\/3 + 5245*s**4 - 73109*s**3\/3 - 42077*s**2 - 41216*s\/3 - 1268 = 0. What is s?\nAnswer: -634, -1, -1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (467316 - 233692 - 233147 + 6*j)*(-j + 2*j + 0*j).\nAnswer: 6*j**2 + 477*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 44.2. Let l = -8 + 10. Let p be 3\/7 + 1 + -1. Which is the nearest to i? (a) -4\/7 (b) l (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 19. Solve 0*j + 15 = v*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f**(1\/3)*f*(f\/(f**0\/f))**(5\/17))**17 assuming f is positive.\nAnswer: f**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4 - 114*a**3 - 4590*a**2 - 33886*a - 29412 = 0.\nAnswer: -19, -9, -1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + 12 = -4*d, 4*d - 12 = -4*a. Let l(f) = -9*f + a*f + 2*f**2 - f**2. Let z(n) = 2*n - 1 - 2*n**2 + 6*n - 3*n**2. Determine 6*l(y) + z(y).\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -52198429.1 rounded to the nearest 1000000?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 - (-18)\/30*1725\/(-69)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21698.5 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2) + (0 - -3). Suppose -3*n = -2*n - j. Let d = -11992 + 12003. Calculate the remainder when d is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5)**(-2\/161))**(-15\/7))**(-3\/2) assuming f is positive.\nAnswer: f**(-225\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 2. Suppose -5*v = -3*v - 10. Suppose -3*i = -i + v*r - 4, 4*i + 4 = -4*r. Let t(l) = 3. Determine i*y(p) - 2*t(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/1*6. Suppose -284 = -m*o + 4. Let y be (169\/9 - 1) + (-36)\/(-162). What is the greatest common divisor of y and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32003 is divided by 75.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:49 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -424410 (base 15) to base 13\nAnswer: -8652a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1\/4 (c) 0.4 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1024 + 2?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19422?\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 1560?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 125, 5, 4, 57, -39 in descending order.\nAnswer: 125, 57, 5, 4, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.49881 + -43.50119. Let h = -0.1 - -0.1. Which is the closest to t? (a) -0.2 (b) h (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*t - 3*t + 55, 4*t = 4*n - 80. Let y be n\/(-9) + 2\/(-9). Do -3 and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90549 divided by -9.\nAnswer: 10061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.25 + -55. Let g = -20 - i. Let k = 0.25 - g. Which is the closest to 0.2? (a) -1 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/60 - z**3\/15 - 7*z. Suppose s(f) = 0. Calculate f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(71668\/79376) + 1 + 25\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 40. Suppose 6*f - f = -v. Let y(k) be the second derivative of k**4\/12 + k**3 + k**2\/2 - 2*k. Calculate y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - 150) + 91 - (-2 + (-3 - -2) - 70).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7528492, -7528488, -7528484, -7528480, -7528476?\n\"Answer: 4*m - 7528496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700882338 to the power of 1\/3, to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 - -132. What is the closest to 0 in -2, -0.02, p?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -122809\nAnswer: -1105281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 3:53 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -14. Suppose -3*n + 5*j = j - 18, 2*j + y = 3*n. Let b = 9 + n. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**1*n*n**(1\/2))\/(n*n\/(n\/n**(-1\/3)))**(23\/6) assuming n is positive.\nAnswer: n**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 y when three letters picked without replacement from yiiiiiiiiyy.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - g - 1. Let p be a(-1). Does 14 divide (-3)\/(-2)*p + 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1488160 and 17685.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/15)\/((-1080)\/(-72)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9443*w + 3713 + 9439*w + 16234.\nAnswer: -4*w + 19947","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3767 - 3785. Which is the second biggest value? (a) 3 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 12*r = -400. Let l be (22\/(-110))\/((-2)\/r). Solve -4*j = -5*h + 41, l*j - h = 2*h - 31 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 2*u**2 + 5*u. Let h be l(-4). Suppose g + b - 97 = -4*g, 3*g - 2*b - 53 = 0. Calculate the greatest common factor of h and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(7)*3)**2*5 + 3) - (-6*sqrt(35)*-1 - sqrt(35))\/(-1*sqrt(125)).\nAnswer: sqrt(7) + 954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*x = -36, -3*z - 5*x - 61 = -115. Calculate the highest common divisor of 981 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2701875 is divided by 2777?\nAnswer: 2631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 402\/(-138) + -2 - 6\/69.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.357 - -3.2?\nAnswer: 2.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55231 = 6*f + 5*f. Suppose 0 = -2*o - k + f, 3*o + k = -3*k + 7524. Suppose 4*z - 3*p = 2510, 3*p + o = 4*z + p. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 248*l**2 + 704*l - 12288.\nAnswer: -4*(l - 64)*(l - 6)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75000633 is divided by 82.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.626277 days in seconds?\nAnswer: 486110.3328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 24*a + 22*a - 980, -2*a = -5*p + 4916. What is the remainder when p is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 181 = 10*b. Let h be b\/(-306) + (-20)\/(-90). Factor 0 - h*w + 4\/17*w**2.\nAnswer: 2*w*(2*w - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -267, -963, -2113, -3711, -5751?\n\"Answer: a**3 - 233*a**2 - 4*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 6\/4)\/(7\/(-1414)). Let h = -96 + m. Suppose -h*d + 1542 = d. List the prime factors of d.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.279 - -0.079. Let c = -1 + 1. Sort a, 0.5, c in ascending order.\nAnswer: a, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 51 + (-3)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*d + 5636 - 33312 = 108*d for d.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -669 + 668.5. Let l(x) = x**3 + x**2 + 2*x + 3. Let c be l(-2). What is the smallest value in c, -2, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(5) + -2 - ((sqrt(20)*1)**2 - (sqrt(5) + -1 + 4))) + 5)*2.\nAnswer: -28 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12 - (-44784)\/(-4158)) + 2\/7 and -2*1304\/864 + 1\/2.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 19*h**2 - 12*h - 100. Give m(-8).\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5827?\nAnswer: 5\/5827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(64)*-1)\/sqrt(4))\/(sqrt(8) + sqrt(512) + -1*sqrt(512) + sqrt(8))*-6 + 4.\nAnswer: 3*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 104.99 and -7446.\nAnswer: -7341.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f + 3. Let y(h) = h**2 - 2*h + 2. Let s be y(2). Calculate the least common multiple of 10 and w(s).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 213, -4500, 23 in increasing order.\nAnswer: -4500, 23, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1936.8 and -0.266.\nAnswer: 515.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 14 - 35)*(1938 - 1938 + 108*l).\nAnswer: -8208*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-12))\/((-4)\/32). Let f(w) = -2*w - 1. Let c(k) = -6*k. Let o(d) = -d. Let l(m) = -c(m) + 5*o(m). Let b(i) = -2*f(i) - 5*l(i). Calculate b(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/3, -14\/5, -2, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 6 = -7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274616, -2, 4.\nAnswer: -2, 4, 274616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1297251002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 299 + 151 = -5*u - 162 - 84, 0 = -2*c - 88 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-53 - (19 + -14 - -12))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 222102321 (base 4) in base 5?\nAnswer: 21020431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -391 - -504. Calculate the remainder when u is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 11:22 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)*k*k**9)\/(k**(-2\/29))**(4\/23) assuming k is positive.\nAnswer: k**(-3327\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48300.165ns to days.\nAnswer: 0.0000000005590296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -334 and -347.\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -6*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155.7 + 171. What is r rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/90723 and 31\/3?\nAnswer: 90723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66627517 by -8.\nAnswer: -66627517\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 8*o + 9. Let t be c(8). Let b = 5 - t. List the prime factors of -3 - (-17 - (1 + b)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 359. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12389 by -5.\nAnswer: 12389\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by -122.\nAnswer: 27\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1646454737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from {j: 5, n: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29510 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2592200 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vppavvavpavpavppv. What is prob of picking 2 p?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4140\/45)\/92)\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 423 - -25?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**2 - 132*d - 280 = 0.\nAnswer: -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1827554544, 3655109089, 5482663634, 7310218179, 9137772724, 10965327269?\n\"Answer: 1827554545*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 460 - 376 = -12*k, 0 = -4*p - 8. Calculate the greatest common divisor of 616 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102196 greater than -451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2800, 2822, 2834, 2830, 2804, 2750?\nAnswer: 2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 1441\/132)\/((-2)\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 562354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89756.21nm to meters.\nAnswer: 0.00008975621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -22599 in increasing order.\nAnswer: -22599, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 + 2*c**2 + 0 - 2)*(-2102 + 598 - 506) to z*c + o + a*c**2 and give o.\nAnswer: 4020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3 - 272*s**2 - 1948*s - 1680 = 0. Calculate s.\nAnswer: -60, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/15)\/(15\/(360\/(-16))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 23. Let b be x(-11). Let g(o) = -316*o - 1. Let y be g(b). What is the highest common factor of 126 and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - v + 2*v - 16769 - 2*v + 16759.\nAnswer: 2*v - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -16*r**3 - 11*r**2 + 25*r - 41. Let c be x(17). Is c\/(-435) + (-2)\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/18 and 71\/104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 5*c + 3*c + (22*c - 206 + 206)*(-4 + 6 + 4) in the form z + n*c and give n.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/9 + 2 + (-2)\/3. Suppose 4*a + z*a = 2*j + 374, 371 = 4*a - j. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 2\/63, 0, 0.2, 628?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -50 (b) 0.7752 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y + 191. Calculate n(-25).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 238 + 3456 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/3 + 609084*l - 1827250\/3 = 0 for l.\nAnswer: 1, 913625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/12*(63\/49)\/9.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/11 + 1278292*j\/11 + 204253804658\/11.\nAnswer: 2*(j + 319573)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-16))\/((-585)\/(-7800)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/((sqrt(12) + sqrt(48))*-1) + 3)*2)**2.\nAnswer: -8*sqrt(13) + 376\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6 + 1 + 4*v**2 - 7. Let g(t) = -t**2 + t**2 + 2*t**2. What is g(h(z))?\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 - 9 = 0. Solve 4 = 4*o, 4 = u*l - o + 5*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-3) - (35 - 3200\/96). What is the fourth smallest value in 8\/9, -4, 0.1, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -37?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 4:31 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -30, -46, -78, -132, -214, -330?\n\"Answer: -j**3 + j**2 - 2*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.111 + 3.311. Which is the nearest to 1? (a) 1 (b) v (c) -34\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8316828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-164)\/1107)\/((-4)\/(-6))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8 - (-5)\/(-4) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4938435ng in kilograms?\nAnswer: 0.0000000000004938435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5194 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -5, -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**2 - 6*b + 7 - 6*b**2 - 3 - b**2. Does 16 divide u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**6\/55 + 2*q**5\/55 - q**4\/66 + 9*q + 6. Let n(f) be the first derivative of a(f). Let n(r) = 0. What is r?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -182.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - 3 - s)*(-7*s + 22*s + 23*s)*(-1 + 0 + 2) - 10*s**2 - 3 + 3*s**2 + 8*s**2 - s**2 + 4*s**2 - 2*s**2.\nAnswer: 40*s**2 - 114*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 6*w**3 + 0*w**3)*(26 - 20*w**2 + 81*w**2 - 24).\nAnswer: 122*w**5 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -16 + 33*h - 42*h - 10. Let k be z(-3). Put -0.3, 3\/7, 2\/5, k in ascending order.\nAnswer: -0.3, 2\/5, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357693 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 20*d**2 - 4*d + 2. Let f be g(3). Suppose -8*m + f = -3*m. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2520\/17 or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) 2 (d) -0.2 (e) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -16 + 16*v + 0*v**5 + 5*v**2 - v**5 + 7*v**4 - 16*v**3 + 3*v**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d + 3*f, -d + 8 = -0*d + 4*f. Suppose -4*y - 5*o - 1 = -19, 3*y - d*o + 2 = 0. Let h = -3 - -6. Solve h = k - y*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/3510 and -19\/9.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 35*v**2 + 524*v - 6254. What is n(24)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reeexxpxxeeep. What is prob of sequence pe?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9160863 and 414399?\nAnswer: 8817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 + 15)*(12\/5 + -1). Let h(o) = o**2 + 2*o + 10. Calculate the remainder when h(k) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -105840 divided by -2940\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 5*o. Suppose -2*j - 3*g + 2 = o, -4 - 2 = 3*g. Let f be (1 + 2)\/(5\/15). Solve -j*z + y = -f, 2*z + z + 4*y = 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2011 - 1220?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - ((sqrt(360) - -2*sqrt(360)) + sqrt(360))\/sqrt(12))\/sqrt(10).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.4 - -15.1. Let j = x - -38. Is 0 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2\/15 - 9272*v\/15 = 0.\nAnswer: 0, 4636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 61*d**4 - 1732*d**3\/3 - 4*d**2 + 26*d - 1. Differentiate c(l) wrt l.\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dngg when four letters picked without replacement from gdfyfgydddkfyyfkdynf?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 5\/(0 + -5). Let x be ((-16)\/(-1))\/4 - c. Suppose 3*d - 63 = 3*u, x*u - 30 = -d + 4*u. What is the remainder when 50 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 5*z**2 + 2*z**2)*(13 - 13 - z)*(5*z + 0*z - 2*z).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/3*(75 + -74). Solve q + 15 = -4*k, 82*q - 86*q - 2*k + 10 = i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065 (base 7) in base 4?\nAnswer: 23131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 5}. Give prob of sequence lll.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.61 + -26543418032\nAnswer: -26543418030.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 3 = 4*v - 2*j, 3*v - 3*j + 9 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c (base 13) to base 8.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*h + 11, -48 + 52 = 2*h. Solve -x - 4*m - 2 = 0, -z - 2 = -4*x - 5*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*d**2*k**2 + 9924*d**2 - 78*k**4 with respect to k.\nAnswer: 36*d**2*k - 312*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -5*u - 1, -5 = -5*u. Suppose a + 5 = 4*f - m*f, -4*f = 3*a - 33. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 10*(-14513)\/8510.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1021 + 2113?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 19 = -3*i, 10 = 2*i - q + 9. Let l = 1 - 0. What is the closest to l in 4, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 + 230*p**2 - 9307*p + 9078 = 0. What is p?\nAnswer: 1, 51, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-108)\/(-15))\/((-2)\/(-80)). Suppose 14*o - y = 5*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*l + 122*l = -555. Suppose 0 = 2*m + 4*a + 2, m - 5*a = -m + 25. Let r = -3 + m. Calculate the greatest common factor of l and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + -4 + sqrt(8)*1 + 3)**2.\nAnswer: -28*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3917*t + 11074*t + 15998*t - 1344*t.\nAnswer: 29645*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 8*n - 7. Calculate i(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 1. Let w(d) = -d - 3. Let l be w(4). Let q be n(l). Solve -3*z = -3*j - 18 + q, 4*j + 23 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121757*s**2 + 5*s + 3735316?\nAnswer: 243514*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -252, -507, -760, -1011, -1260?\n\"Answer: z**2 - 258*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9292*d + 2299. Let a(g) = -3*g + 2. Let m(i) = -6*a(i) + x(i). Find the first derivative of m(y) wrt y.\nAnswer: -9274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 672, 3733, 11572, 26577, 51136?\n\"Answer: 398*h**3 + h**2 + 272*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591.\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, 40, -12, 3 in decreasing order.\nAnswer: 147, 40, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4490 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*-1*sqrt(228))\/(sqrt(12) - sqrt(144)\/sqrt(3)).\nAnswer: -4*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152.3 - -152.5. Suppose -2*l + 4*l - 6 = 0. Sort t, -12, l in increasing order.\nAnswer: -12, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 129, 258, 389, 522, 657, 794?\n\"Answer: v**2 + 126*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*6930\/(-420). Solve 0 = n - 5*s + 19, 6*n - 7*n = 5*s - x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 1:14 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13.9805544 and 0.17197.\nAnswer: 14.1525244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (16\/30)\/(720\/(-12600))*-3\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-12)*(-8)\/(-4)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2622*n + 2678*n = -2025 - 103 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -2478.6?\nAnswer: 2480.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 72*o**2 + 5693*o - 22784. What is s(4)?\nAnswer: 1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181 - 10. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-1) - (-360)\/(-45). Let d(v) = -59*v. Let f(c) = -20*c. Give m*d(j) + 11*f(j).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t = -63*t + 13943216 + 11796941. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*d + 31*d**3 - 4*d**3 + 57*d.\nAnswer: 27*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1690293 by -99429.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 2*p + 2. Suppose 3*r - 2*r = 77. Let c = r + -51. Suppose -3*b - 5*u = -46 + 15, 3*b = -4*u + c. Determine g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u + 43 = -41 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 - 59 - 22 + 24 + m.\nAnswer: m - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1294, -1, 5, -3, -38, 1 in decreasing order.\nAnswer: 5, 1, -1, -3, -38, -1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7469433, 14938868, 22408303?\nAnswer: 29877738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-7 - -18) + -17 + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -159 + 479*b + 187*b - 710*b as q*b + z and give z.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*j + 12, 0 = -4*d + 3*j - 23 + 4. Let x be 8\/6*6\/76. Let h = 51 + -54. Which is the closest to d? (a) 4 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(5) - sqrt(3) - sqrt(3)) + 5)*6.\nAnswer: -6*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -21305?\nAnswer: 7\/21305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.067 - 0.367. What is the second smallest value in 2, 0.9, g, -4\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36412960 rounded to the nearest one hundred thousand?\nAnswer: -36400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 297330.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1) + 3\/9. Let i be 1\/(-4) + (-580)\/(-16). Let k be (-6 - (-232)\/i) + 8\/(-18). What is the second smallest value in k, 5, 3, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4\/3 + 15*r**3 - 50*r**2 + 220*r\/3 - 40 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 256511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 2*z**2 - z + 55. Determine s(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 + 67. Let k(z) = -z**3 + 20*z**2 + z + 75. Let o be k(20). Let h = j - o. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 o, and 2 h when four letters picked without replacement from {w: 2, t: 2, l: 4, o: 1, h: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 4*r + 15. Let m be s(-6). Let n = 18 + m. What is the greatest common divisor of 18 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -1) + (-51)\/18?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5f71 (base 16) to base 8.\nAnswer: -57561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*j**2*m**2 + 2120*j*m**2 - 1120*m**2 - m with respect to j.\nAnswer: -168*j*m**2 + 2120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*w = 40*w - 73*w. Sort 1535, w, 2, -3 in descending order.\nAnswer: 1535, 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 788*w**2 + 11*w + 10. Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19553 is divided by 356.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*g = 16, 2882*h = 2884*h - 3*g + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 137?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/532*((-5)\/6)\/((-335)\/536)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 47 = -3*b, 0 = -1097*u + 1105*u - 2*b + 36 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g**3 - g**2 - g + 1. What is the remainder when 47 is divided by l(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3224 - 1?\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.05 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 6*d - 12. Let r be t(6). Let i = r - -15. Is 3 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1684*u - 35327. Calculate q(-21).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 7 + 22 = -k, -4*a + 21 = k. Suppose -4*c = -k*c. Suppose 0*p**3 - 2\/9*p**4 + 2\/9*p**2 + c*p + 0 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*c = -18*c + 201 + 272 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -10. Let u be 257\/7 + 4\/14. Suppose 5*t + u = 3*o + t, -t = 4*o - 24. What is the remainder when f is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/591, 5, 2\/13, 0 in ascending order.\nAnswer: -4\/591, 0, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k**2 - 13*k + 21. Let z(v) = 11*v**2 - 12*v + 19. Let j(r) = 5*u(r) - 6*z(r). Give j(10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(84\/24)*-2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w + 2*l, -w + 2*l + 8 = 5*l. Let o = w + -3. Solve 5*f = -o*i - 15, -2*f + 7 = -4*f - i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 40*k - 687. Let j be n(17). Let t(w) = -11*w - 26. Let p(b) = -6*b + 3*b - 5*b - 17. Let i(v) = j*p(v) + 5*t(v). What is i(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2355674 millilitres in litres?\nAnswer: 0.0002355674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 229 + 2.0243618\nAnswer: 231.0243618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - s - 4 - 16, s - 15 = -3*h. Suppose 0 = h*a - 4*a - 1. Find the first derivative of -1 - b - a + b - b wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/17, -5\/84, 2\/25, 2?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -327469455 to the nearest 1000000.\nAnswer: -327000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99798.74cm in micrometers?\nAnswer: 997987400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*l + 5*j + 17 = 0, 2*l + 3*l - 230*j - 139 = -789 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Let s = -361\/63 + 52\/9. Let z = s + 2\/7. Which is the nearest to -1\/3? (a) h (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11635963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 + 13*d - 52)*(873 + 105*d**3 - 873) to the form t*d**2 + z*d + a*d**3 + s*d**4 + v and give s.\nAnswer: 1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 20*j - 741. Is -1 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (sqrt(126) - sqrt(126)*3 - sqrt(126)))\/(sqrt(2) + -1*sqrt(98) + sqrt(98)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 0 - 2*c - 2\/3*c**3 - c**2 - 1\/6*c**4. Let v(s) = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*-1)*-1 + sqrt(204) + sqrt(204) + sqrt(204))\/(-5*(sqrt(12) - sqrt(48) - sqrt(12))).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, 2\/13, 0.4, 0.2, 0.7, 686?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 - 4*p**2\/3 - 10*p\/3 + 4.\nAnswer: 2*(p - 3)*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -50.81 at most as big as -0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (32\/48)\/(((-4)\/15)\/(-4))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577198.\nAnswer: 2, 41, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6 = -0. Calculate the remainder when 7 is divided by t\/(-4) + 6\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4093 = -843*n - 4129 - 5266 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + d = 2*r + 19, 2*r - 22 = -3*d. Let p(q) = 30 - 14*q + 7 - 5*q**2 + r*q**2 + 3*q**2. Let x be p(6). What is x rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 10. Round h to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-33 - -34) + -1 + -1 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*0.59.\nAnswer: -28.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339579 + 169814 + 169761 - o.\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.089 less than 1.591?\nAnswer: -112.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 28*v**2 - 184*v + 6. Determine w(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + 0)\/((-4)\/(-6)). Suppose -2*a - 5*b = -26, -5*a = -0*a - 2*b - 94. Let r = a - j. Solve r = -d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 45748*v\/7 + 261609938\/7.\nAnswer: 2*(v + 11437)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -0.2 (c) -864 (d) -1\/824\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*b**4*w**2 - 141*b**4 - b**2*w - b*w**2 - 2*b - 6 wrt b?\nAnswer: -1032*b*w**2 - 3384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 9) + -2 + 4 - -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 830 = m + 3*m, 3*k + 4*m = -530. Let o be (-3)\/(-4) + k\/280. Solve 0 - o*g + 1\/7*g**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.84 take away 152139306?\nAnswer: -152139324.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*f - 1 + 1 - 2*f**3 + 348*f - 936*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-10 - -4) - 2 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 733 - -649a2?\nAnswer: 65515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1830748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 3*g - 20, -j + 0*g = -g - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -d - 0*d - 14, 4*j - 16 = 3*d. Let q(t) = 5*t**2 - 7*t + 3. Let p be q(d). Let r = p + -188. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**2 - 6*r + 2. Let o be s(5). Suppose -5*h + 2*l - 3*l - 290 = 0, o = -h - 3*l. Let g = 112 + h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 138 + 142 = 0. Let i(u) = -22*u - 6. Let l(f) = -260*f - 70. Let y(r) = k*i(r) - 3*l(r). Let z(v) = 0*v - v - 3*v. Determine y(z(s)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-1)\/8*-2. Let u = 4.37 - 5.37. Is u greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 = -14*l + 225 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1338 divide 278009640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 + 2 - ((-391)\/(-23) + -3106). Calculate the highest common divisor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.963 rounded to one decimal place?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0717 and -2.\nAnswer: -0.1434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-4)*(-16)\/(-6). Find the second derivative of -w*q + 5*q**2 - 3*q + 2*q wrt q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + 110011011101?\nAnswer: 110011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2076)\/16)\/(3\/(-4)).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d - 3*z = -8*d + 7, -2 = 4*d - z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66881 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 3. Let c be d(-8). Let j = -49\/4 - c. Let h = -1 + j. Which is smaller: 8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2298\nAnswer: 1\/2298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386 + -314. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2. Let q(t) = -1976*t. Give q(v(c)).\nAnswer: -7904*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0 - b + 0*b**2 - 1\/6*b**3. Let x(h) = 4*h. Let w(i) = -3*i. Let k(j) = -3*w(j) - 3*x(j). Determine k(m(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3714 and 47\/81708.\nAnswer: 81708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*2\/(-30) - (4 - (-22)\/(-6)). Put -644, y, -5 in decreasing order.\nAnswer: y, -5, -644","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-25 - (14 + -17 + 2 + -7 + -3))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51240 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1939 - -2?\nAnswer: -1937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10356518.\nAnswer: 2, 41, 53, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 339942526.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g + 2*g**2 - 6*g - 3*g**2. Let o(x) = -8*x + 24. Let y(f) = -1. Let c(h) = o(h) + 24*y(h). What is n(c(t))?\nAnswer: -64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5 - 29*s**4 - 177*s**3 + 197*s**2 + 1364*s + 1020 = 0.\nAnswer: -5, -2, -1, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 16, 4, 124 in descending order.\nAnswer: 124, 16, 4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d**2 - 4*d**3 + 5*d**3 + 4*d + 4*d + 2. What are the prime factors of l(-6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000138164854 rounded to 7 decimal places?\nAnswer: 0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 5:13 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17982\/(-57942))\/((-6)\/(-522))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w + 6*w - 3*w. Let z(u) = 13*u**2 + 3. Let x(s) = -5 + 21*s**2 - 1 + 4*s**2 + 11. Let y(m) = 3*x(m) - 5*z(m). Determine o(y(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 7:13 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -72 + 39 + 5375\/225.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 2*b + 20, -70*w + 4*b + 16 = -74*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + z - 1. Let d be (148\/(-5) - 0)\/(11\/110). Let t = d - -298. Determine b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -563 - -574. Calculate the remainder when 151 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8721051 is divided by 969000.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/2 + 33265*p\/2 - 16632 = 0.\nAnswer: 1, 33264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 156\/108 + 12\/(-27). Let c be ((-2)\/(-3))\/((-1)\/(-3)). Suppose -b = -c*z + 3. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*t + 18*t - 65*t + 322*t.\nAnswer: 340*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1632582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c**3 - 49325*c**2 + 40310*c + 8960 = 0. Calculate c.\nAnswer: -2\/11, 1, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 52\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-84*2)\/(-8) - (-1 - -7). Suppose 3*w - 169717 = -13*y + p*y, 0 = -4*w + 4*y + 226296. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - 6*b + 2*b)*(0 - 4 + 3) as k*b + v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 3916511136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 430\/35)*(-14)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, d: 1}. Give prob of sequence dm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1235)\/494*(-1)\/((-4)\/4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 23*k**3 - k**2. What is the units digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 291070 and -3.04.\nAnswer: -884852.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 7:40 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1.54, -0.21, 5\/3, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3078 - 0.317756. Let x = 0.01 + i. What is x rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1610826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 16*h. Let s be (36\/30)\/(1\/(-40)). Let c be (-2)\/3 + (-80)\/s. What is the tens digit of d(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1)**2*1 - (-3 + sqrt(180) + 2).\nAnswer: -6*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**2*o - 3124923*d**2 - 2*d*o - 2390*o - 91 wrt d?\nAnswer: 10*o - 6249846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 6, t: 4, n: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68386, 136782, 205192, 273622, 342078, 410566, 479092, 547662?\nAnswer: 616282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 8, -44, 1\/5, -50, -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12321157, -12321163, -12321169?\n\"Answer: -6*z - 12321151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*1*(sqrt(2448) + sqrt(2448) + (3 + sqrt(2448) - sqrt(2448)) + sqrt(2448))*-5*3.\nAnswer: -5400*sqrt(17) - 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2227 times 36178\nAnswer: 80568406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {p: 8, l: 2, e: 1, g: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 660 = 597*q - 601*q - 1492, -2*q - 3*c = 158 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3 = u + 26, 4*u - c + 21 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4698*t**2 - 55*t - 25. Is i(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-24) + (-419)\/8. Let a be (o\/39)\/((-2)\/3). Suppose -7 = -m + 5*n - n, 0 = -a*n. Is 6 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/63)\/(24\/56)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((7 - 7) + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 775 (base 12) to base 7\nAnswer: 3125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100 - -100?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - b - 5 + 20 = 0, 0 = 4*p - 4*b - 20. Which is bigger: p or 2.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20218, -161846, -546272, -1294894, -2529110?\nAnswer: -4370318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.388675*-31.\nAnswer: 12.048925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5274796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 658637, 658653, 658669, 658685?\n\"Answer: 16*f + 658621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3542972154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 1. Let a(f) = -4*f - 1. Let s(m) = -a(m) + 3*y(m). Let k be s(10). Suppose 0 = 3*r - k*r - 5*c + 380, r = 3*c + 76. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 3*c + 7*c - 12*c + 3*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 15 = 3*i. Suppose i*u - 23 - 17 = -2*q, -17 = -2*u - q. Let l(s) = -s + 4. Calculate l(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyywyyyywwy. What is prob of picking 3 y?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7702663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 404 = 413 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 53428 = -14*q + 442*q + 1380 for q.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uafacffafdf. What is prob of picking 2 f and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/3 - 120040*r**3\/3 - 949440*r**2 + 6176768*r\/3 = 0?\nAnswer: -232, -26, 0, 2, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13794302 to the nearest integer?\nAnswer: 3714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/4 = 1657607\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 20 = 4*b, -l = -95*b + 100*b - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3025) - (3*-4*sqrt(3025) + sqrt(3025) - sqrt(3025))) + sqrt(3025))\/(4*(sqrt(320)*-3 + sqrt(320)) - sqrt(320)).\nAnswer: -77*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4707597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3368.65 to the nearest 10.\nAnswer: -3370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**2 + 125*u + 2254. Determine t(29).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1886.82 nanometers?\nAnswer: 1.88682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**2. Let r = 659\/6 + -319\/3. Let o(v) be the first derivative of 0*v + 14 + r*v**2. Calculate o(w(u)).\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -41. Suppose 4*f = x*l - 58, -55 = -3*l - 2*f - 21. What is the remainder when 235 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74*f**4 + 244*f**2 - 21930?\nAnswer: -296*f**3 + 488*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 1. Let l(q) = q**2 - 8*q - 2. Let b be l(8). Let h be t(b). Suppose -18 = -6*z + h*z. Solve 10 = -z*g + g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -457\/15 + 92\/3. Which is the second smallest value? (a) -4\/3 (b) v (c) -2\/11 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (3 + 1\/(-1)). Suppose -j*c + 12 = -2*c. Is 13 a factor of (4\/c)\/(2\/78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*u + 2*u. Suppose u*b - 4 = 2. Suppose -3*y = -b*y - 8. What is the smallest common multiple of y and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.066 + 6.066. Suppose -3*w + 20 = 4*k, -2*w = k - 0*k - 10. What is the fourth biggest value in k, p, -2\/7, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 864 and 25888.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 29*p**5\/20 + 140*p**4\/3 - p**2 - 29*p + 22. What is the third derivative of x(n) wrt n?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + a**2 - a + 4. Let r be b(2). Let s(u) = -3*u**2 + 5*u - 3. Let i be s(3). Let y = -13 - i. What is the greatest common factor of y and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8))**2 + -1 - -6*sqrt(200) - (-2 + sqrt(8) + 2 - (0 + sqrt(128) + sqrt(8) - sqrt(8))**2).\nAnswer: 58*sqrt(2) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) -3\/4 (c) 1 (d) 9 (e) 0.5 (f) -1358.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 74728, 298488, 671420, 1193524, 1864800, 2685248?\n\"Answer: 74586*t**2 + 2*t + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142390116 and 334773.\nAnswer: 427170348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/5364 and 85\/4818.\nAnswer: 4307292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 3\/5, 194.9228, 4, -12, -1\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246878, -987458, -2221760, -3949790, -6171554, -8887058?\nAnswer: -12096308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 34769954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 13216.\nAnswer: 145376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5350.3 + 327057.\nAnswer: 332407.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73643?\nAnswer: 73643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 15672 = 15744 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357099, -357097, -357093, -357087, -357079, -357069, -357057?\nAnswer: -357043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 + -168. Solve -2*a = -3*x - a - 8, a = -2*x - s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 951571301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/5 (b) -2\/93 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + 34*q. Suppose -1747*t - 22 = -1729*t + 14. Let z(s) = -7*s**2 + 69*s - 1. Determine t*z(u) + 5*a(u).\nAnswer: -u**2 + 32*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/4)*s)\/(s*s\/s**(2\/13))*s*s**(11\/4)\/s*s*s*s*s\/(s\/(s*((s\/s**8)\/s)\/s)))**(-41) assuming s is positive.\nAnswer: s**(2501\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -2779.84\nAnswer: 166.7904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/3 + 4\/(-12). Let m = 23 - k. Suppose 30 = -0*s + 3*s. Is s != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*(6 - -4). Suppose -9 = -v*l + 2*l. Suppose -60 = -l*r + o, o + 2*o = 0. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 82, 1, -3\/2, -4, 17.2?\nAnswer: 17.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2*(-1 - 0). Suppose 2*o = k, -4*v = -6*o + o + 4. Let r(q) = -q - 1. Let a be r(0). Is v at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876*d - 1300 = 906 - 454. Let x = 0.04 - -0.26. What is the closest to d in -5, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3417073.\nAnswer: 11, 310643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -487*h**2 - 28476*h - 33786774. Let t(q) = 75*q**2 + 4746*q + 5631129. Let r(j) = -6*s(j) - 39*t(j). Factor r(l).\nAnswer: -3*(l + 2373)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 55296.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 15775*w + 125880.\nAnswer: 5*(w + 8)*(w + 3147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -37\/2443851?\nAnswer: -37\/2443851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + 22. List the prime factors of v.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/55 + (-24)\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-16))\/((-6)\/(-32)). Find the second derivative of -3*l**3 - 18*l + b*l**3 + 30*l wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.36168606 + 0.63826694. Let k = q + -28. What is k rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ab9b (base 13) to base 8.\nAnswer: 236267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114772129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9048155 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:09 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4640, 4747, 4854, 4961, 5068?\n\"Answer: 107*g + 4533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06073 + 1.06073. Suppose -7*c + 3*u = -2*c - 6, -4*c = -5*u + 3. Sort -1\/2, b, c in decreasing order.\nAnswer: c, b, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 130587758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 263 - 73. Suppose -2*s + 81 + 65 = 3*o, -5*s + w = 4*o. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44150609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 81*d + 1033. Calculate h(-12).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 11, -44, 0 in decreasing order.\nAnswer: 11, 4, 0, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 490595.7 centuries in decades?\nAnswer: 4905957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 11*k. Sort k, -42, 2, 1.\nAnswer: -42, k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -977765699.99999986 - -977765681. Let y = -23.6 - -4.6. Let l = y - x. Round l to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122626 (base 8) to base 11\nAnswer: -29937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -2. Let f = i - -5.3. What is the smallest value in 0, f, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10)*-3)*-1*-4 + (5*sqrt(288)\/(sqrt(36)\/sqrt(6)))**2.\nAnswer: -4*sqrt(3)\/3 + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 328*a**3 + 2*a**4 + a**2 + 162*a**3 + 165*a**3 to n*a + z*a**2 + d*a**3 + v + w*a**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4774)\/6851 - (291\/(-39) - -7).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -12 - (0 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -219024534 - -704.282?\nAnswer: -219023829.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -162*-1.2\nAnswer: 194.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24324434344 + -11?\nAnswer: 24324434333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5291*m**2 - 17094*m + 2849. Let i(d) = -2*d**2 + 6*d - 1. Give -8547*i(h) - 3*t(h).\nAnswer: 1221*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, -7 in decreasing order.\nAnswer: 4, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (285\/(-38))\/(1 - 22) + 1\/7. Let n = 1 - 3. Sort 4, -45, k, n in increasing order.\nAnswer: -45, n, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507644.14 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 5*j + 50. Let p = 4 - j. Let x(m) = -7*m - 8. Does 24 divide x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 + 59855*r**3\/2 - 600056478*r**2 + 4088610203048*r - 1169644794232096.\nAnswer: -(r - 19852)**3*(r - 299)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(49) - sqrt(784))\/sqrt(7) + 5*-1*sqrt(7) + 5 - 2*(sqrt(49)\/(sqrt(7)*1) + sqrt(7) + -3 + 1*sqrt(7)))**2.\nAnswer: -176*sqrt(7) + 569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354*r**5 + 35*r**4 + 50033*r.\nAnswer: 7080*r**3 + 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-1 + 0 + sqrt(720))*-3)**2 + (5*-3*sqrt(720) + sqrt(720)*-1 + -3)**2)*-3.\nAnswer: -572439 - 3024*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579 is divided by 158.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w**2 + 2*w)*(-2 - 22 - 10) - 8*w**2 - 3 + 3 + (0*w + 3*w - 4*w)*(2 - 2 + 3*w) + w**2 + w - w.\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/3820164 and -63\/212.\nAnswer: 202468692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -d + 151 + 6, -5*n - 2*d = 792. Let i = -152 - n. Solve i*g = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 711073?\nAnswer: -711071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2323314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -4, 266\/31, 3?\nAnswer: 266\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -13*m + 13. Let t = -7 - -12. Let u(w) = 0 + w - 3*w - 3 + t*w. Calculate -2*f(k) - 9*u(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from vavt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 32*g - 10*g**3 + 5*g**2 - 26*g - 16*g. Let z be u(-6). Round z to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10028130 divided by 5618\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 620368 and 3712?\nAnswer: 4962944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4681329 is divided by 9918?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -20*h - 13. Let x(z) = z. Let o(w) = l(w) + 4*x(w). What is the units digit of o(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 105 + 165 = 0. Suppose 4*u + 97 + k = 5*j, 4*j - u - 154 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + i - 3)*(-125 - 154 + 161) + i - 2*i + 2*i + 4*i - 2*i - i + (-1 + 1 + 1)*(-2 + 2 + 2*i) + 2*i - 1 + 1.\nAnswer: -112*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -2\/9, 0.1, -27, -13, 422?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10228 - 17?\nAnswer: -10246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6 - 14 = 0. What is the lowest common multiple of (408\/96)\/(4\/16) and j?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**3 + 0*y**3 + 3*y**3)*(-2 + 2 + 6)*(2 - 1 + 0).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19605923?\nAnswer: 19605923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3\/5 - 701*k**2\/5 - 43992*k = 0.\nAnswer: -235, 0, 936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4968, 9867, 14766, 19665, 24564, 29463?\n\"Answer: 4899*c + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 3, -1\/74, 1661, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 8*h**2 + 5*h - 6. Let c(w) = 7*w - 8. Let y(g) = 22*g - 25. Let n(z) = -7*c(z) + 2*y(z). Let q be n(3). Is 15 a factor of r(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + 2*j - 8. Let n(x) = 5*x**2 + 2*x - 8. Give -4*m(a) + 3*n(a).\nAnswer: -5*a**2 - 2*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, -2, 23, 3, -5 in descending order.\nAnswer: 23, 4, 3, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -326837 times 0.4?\nAnswer: -130734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + o**2 + o + 2. Let g be s(0). Let u(z) = 2*z - z + 2*z - z - g. Give u(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 299\/72708 + 5\/996. Suppose 0 = -14*o + 3*o + 11. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19508184 - 356*h + 19508184.\nAnswer: -356*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -75552828786687 + 5\nAnswer: -75552828786682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 0*i - 1\/2*i**2 + 5. Let h(f) be the third derivative of f**5\/15 - f**2. What is z(h(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Solve k = -2*j - 2 - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x - 97*x - 2666 + 9874 = 0. What is the remainder when 368 is divided by x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124959898 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43163, 86326, 129489, 172652, 215815?\n\"Answer: 43163*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/11)*g*(g**5*g)\/g)\/(g**(-2\/7)*g**(-4))*(g**(2\/9)*(g*g**(-10)*g)\/g)**12 assuming g is positive.\nAnswer: g**(-21998\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 7*y**2 - 2225*y - 8710. Give s(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-4)\/(-126)*-7) + 11. Let i = -0.3 - 0.7. What is the second biggest value in d, 8, -5, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1050?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**6\/3 - 2*g**4 - 4*g**3\/3 + 3*g**2 + 4*g + 7. Suppose u(v) = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (3 + -9)*(0 - 2) and 112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**7\/5880 - o**6\/420 - 11*o**5\/840 - o**4\/28 + 2*o**3 + 12*o. Let y(c) be the second derivative of j(c). Factor y(k).\nAnswer: -(k + 1)*(k + 2)*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-297)\/18)\/(372\/(-124))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.6? (a) 22 (b) 18 (c) -19.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227724 by -12.\nAnswer: 18977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - k = 3, 9 = 3*z - 8*k + 3*k. Does 3 divide 54*(z - -2 - 1 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j**2\/j*j)\/j*j)\/(j\/(j*(j*j\/j**(11\/2)*j)\/j*j*j*j)))**(-35\/3) assuming j is positive.\nAnswer: j**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**3 - 2*y. Let o(s) = -5*s**3 + 6*s - 3. Let i(t) = 4*t**3 - 5*t + 2. Let d(l) = 3*i(l) + 2*o(l). What is 3*c(h) - 2*d(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5852.6845 rounded to the nearest 100?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6143255241 - -38.\nAnswer: -6143255203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30108 and 11388.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3654 and 56?\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, f: 2, g: 4}. Give prob of picking 1 r and 2 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h + 822. Give k(-44).\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 2) + -1*1. Solve 0 = -h*v - 0*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23677 divided by 6\nAnswer: 23677\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.3, -0.4, 4.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924053203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102875838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -155*k**4\/3 - k**3\/6 + 733*k**2\/2 + 38*k - 1. What is the second derivative of b(i) wrt i?\nAnswer: -1240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 6*l. Suppose 5*j + 4*s = -51, 2*s - s = -2*j - 18. Let v be m(j). Which is greater: 31\/4 or v?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19701 - -7269677\/369. What is the common denominator of 59\/99 and u?\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -28.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 34, 151, 378, 751, 1306, 2079?\nAnswer: 3106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m. Let u be v(1). Suppose 19 = 2*y - 3*x, -2*y = -x + u - 13. Differentiate 2 - 1 - y - 2*f**2 with respect to f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab - -21da9?\nAnswer: 21cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/35)\/(30\/(-35))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 1 (c) -4\/7 (d) -7 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1737 - -3394. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 61485.63 centuries?\nAnswer: 6148.563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, f: 2, x: 5, u: 3}. What is prob of picking 1 u and 2 f?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15059 - 89.26059. Let k = j - -89. Let c = k + 0.53. Round c to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6 - 2, 0 = -5*b + 2*t + 3163. What are the prime factors of b?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:36 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 180.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128137*z**4 - 9*z**3 + 1372756*z**2 + 4*z?\nAnswer: -3075288*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269116 is divided by 1175.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.040387s?\nAnswer: 0.0014001075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1833034 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 7*i**2 + 6*i + 8. Suppose 2*p - 2 = 0, -4*p + 29 = 2*b - 5*p. Calculate the remainder when b is divided by y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 264 (c) -12 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22\/183 (b) 6.1 (c) 0.05 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -7. Let t be (562 - -21) + 18\/(-2). Suppose -t = 2*m - y*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from ccucwcwcgcwgcucccpc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-8 - -19) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-1*-1*(15 + -2). Suppose 2*u + l = 204. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178.999645 - -179. What is c rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 17397*z**2. Let i(a) = 3*a. Calculate i(d(c)).\nAnswer: 52191*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (3\/(-6) + (-4)\/(-8)). Suppose -5*x = -q*x. Solve x = 3*t - 6 - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*a = -8, 2*a - 8*a = -h. Solve -13 = h*c + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 588.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 454975009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 74712*r**2 - 479241087*r - 174027807798.\nAnswer: -3*(r + 386)*(r + 12259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 12) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27707526*c**2 + 0*c + 27707523*c**2 + 0*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 62 = 4*d - 4*j, -5*d + 64 = 2*j. Let i be (-3 - -1) + (-4 - -8) + -2. Solve -2*v + 2*p - p = i, -5*v - d = p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -113*y**2 + 2*y - 26. Let c(w) = w. What is c(o(u))?\nAnswer: -113*u**2 + 2*u - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694 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 36910.\nAnswer: 2, 5, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7432848 is divided by 798.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 4*u**2 - u - 2. Let w = -25 - -22. What are the prime factors of h(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 11:44 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152755 + 1067231\/7. Let x = r + 294. Is x > -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 12*i - 29. Suppose 0*d + 2*h - 8 = d, 2 = 2*h. Let k(m) = m**2 - 6*m + 15. Let j(q) = d*g(q) - 11*k(q). List the prime factors of j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6296.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 290\/18 + (-18)\/162. Solve 4*t + 4*l + z = 0, 2 + 4 = -3*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 3\/7 (c) 9\/160 (d) -11 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1259.8 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7998 or 35880?\nAnswer: 35880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18825745 and 0.3.\nAnswer: 18825745.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let x be 4\/6*(-1125)\/(-30). Let u(k) = -x*k**2 + 23*k**2 - 3*k + 3*k. Calculate u(j(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -916, -3713, -8370, -14887, -23264?\nAnswer: -33501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2159*l + 75564. What is r(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -0.03823.\nAnswer: -0.23823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/4)*z**(-2\/15)*z)\/(((z\/(((z*z*z**(2\/5))\/z*z)\/z))\/z)\/(z\/(z**3*z)*z*z*z)))\/(z**(-2\/5)*z\/z**(-2\/5)*(z**(2\/7))**(-1\/11)) assuming z is positive.\nAnswer: z**(9437\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 1375702409.\nAnswer: 1375702404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384\/1024 + 19\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 718997 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*o. Suppose o*h + 3 = 3*h. Let l = h - -40. Calculate the remainder when l is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 16 - 6. Let a = 31 - 29. Suppose a*d - 2*f + 19 = 5, 2*f = 4. Sort d, -1, p in descending order.\nAnswer: -1, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 259221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-5))\/((-301)\/(-1505)). Suppose 0 = 4*u + 9 + 7. Let c(z) = -z**3 - 5*z**2 - 2*z + 3. Let m be c(-4). Sort m, w, u, 2.\nAnswer: m, u, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 3)*(-8*h**3 - 7*h + 7*h) - h**3 - h**3 + h**3 + 2*h**3 - 3*h**3 + 2*h**3 to i + g*h + y*h**3 + v*h**2 and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 2, w: 3, r: 4}. What is prob of picking 1 u and 2 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12*j**3 - 6*j**2 - 6*j + 10. Let b be z(8). Let q = b - -98416\/15. Find the common denominator of (-80)\/80 - (-59)\/12*2 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*750\/(-30)*2\/(-2))\/((-3)\/2).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 11 - 2 + 2. Let t be o(5). Suppose 6*u = 5*u + t. Solve -2*b = -4*f, u*b + 8 = 2*f + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 2*w + 8. Let x(l) = -l**2 - l + 7. Let n(u) = -4*k(u) + 5*x(u). What is n(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 3:06 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g*r**2 + 44080*g*r + 3*g - 26839951*r**2 wrt g.\nAnswer: 10*r**2 + 44080*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*f + 132. Suppose -130*i + 18931 = 40*i - 42779. Calculate the greatest common factor of f and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-30))\/((y\/(y\/((y**(-32)\/y)\/y))*y*y)\/y)*(y\/(y*y*y\/(y**(1\/4)*y)))**23 assuming y is positive.\nAnswer: y**(187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-15)\/v)\/v)\/v**(-1\/9)*v\/v**(6\/7)*v**(3\/19) assuming v is positive.\nAnswer: v**(-19856\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 44*g**3 + 174*g**2 - 84*g - 49.\nAnswer: (g - 7)**2*(g - 1)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x - 78. Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 120? (a) -2 (b) -1 (c) 113\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009401832 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 27 = 3*p - n, 0 = 2*p - 3*n - 39. Let j = 0 + p. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10622, -20694, -30766?\n\"Answer: -10072*p - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4.3. Let d = y - -2.3. Do 8 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*(k\/(k*k\/(k\/k**(2\/9)))*k*k)\/k)*k*k**(2\/19)*k*k**(-2\/3)\/k**(2\/9)*((k*k**(-1\/3))\/k)\/k*(k\/k**(-3\/4))\/k*k**(-4)*k*k*k\/(k\/k**2) assuming k is positive.\nAnswer: k**(-11\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-six fifths of a meter?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 4*w - 8. Let g be x(-6). Suppose c - 5*t - 3 + 9 = 0, -3*t - 27 = -g*c. Put -2, c, -5 in increasing order.\nAnswer: -5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -1 + 5. Let i be 32\/(-57) - x\/6. Is -1 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153195 divided by 3?\nAnswer: 51065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 95 = 3*j, 140 = 4*j - 4*w - 0*w. Let l be j\/4 + (-4)\/8. Suppose -125 = -l*i + 2*i. Solve -40 = -5*g - 2*q - 15, 0 = -5*g - 5*q + i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -74\/9, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(68) - sqrt(17)) + sqrt(2448)*-1 - 1*(sqrt(17) - (sqrt(68)\/sqrt(4) + 2) - (sqrt(17)*-1 + -3)).\nAnswer: -12*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y = -17*y. Suppose -43*z + 46*z - 6537 = y. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 793 divide 147669288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121)*-3 + sqrt(121) + sqrt(121)))\/sqrt(11) + -2 - ((sqrt(792)\/sqrt(2))**2 + -2).\nAnswer: -396 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5170 (base 15) to base 4.\nAnswer: -10030311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521774273?\nAnswer: 4013, 130021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51033*h - 5*z = -51036*h - 23, 0 = 4*z - 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/7 - (-10)\/420*-174. Is (-102116)\/(-28)*v\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -38 - 7. Suppose 2*o - a + 2*a = 25, -p*o - 4*a + 67 = 0. Solve 5*z = c + o, -4*c = -c - 2*z + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -51? (a) -1 (b) 1\/5 (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 + 12*f - 6. Let p(u) = -u**2 + 2*u - 1. Let c(b) = -n(b) + 6*p(b). Let h(t) = -14694*t + 2. Calculate c(h(j)).\nAnswer: 215913636*j**2 - 58776*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2402674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 4*l + 0*l**3 + l**3 + 4*l**3 + 3 - 4*l**3 in the form t*l**3 + v*l**2 + g*l + p and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 22 - 15)*(0 - 3 + 4)*(1 - 2*u - 1).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 554897825 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2324424297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 423100782?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 52*q**2 + q + 1. Calculate h(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-18))\/(5*(-9)\/90)*-24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959 = 6*z + 625. Let j = -258 - z. Solve j*x - 4*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*-8)\/(3 + -2). Let c(x) = -x**3 + 7*x**2 + 11*x - 5. Let j be c(8). Let m = j - r. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o\/o**(-1\/15)*o)\/o))**(-7\/2)*o*o**(2\/29)*o\/(o**8\/o) assuming o is positive.\nAnswer: o**(-521\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1834 - -1799 - (12 + 2).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 31 + 5 = 4*y, -5*y - 5 = 0. Let a = 8 + v. Differentiate -2*i**3 - 5*i + 3 + 5*i + a wrt i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9*m**3 + m**2 - m. What is k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 197*a**2\/4 + 987*a\/4 + 5\/2.\nAnswer: (a + 5)*(197*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13329072 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*i*r + 111*i - 157*r + 312 wrt r.\nAnswer: 41*i - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1822*r + 1839*r. Let w(s) = s**2 + 2*s + 8. What is w(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4544267 less than 4544268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190\/69 + 82510\/29463. Find the common denominator of k and -33\/7.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1211220 (base 3) to base 12\nAnswer: -943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2298 - 2298.0000957. Round d to six decimal places.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**2 + 40*j**4 + 3*j**5 - 40*j**4 + (0*j**2 + 2*j**4 + 0*j**2)*(-2 + 2 + 3*j).\nAnswer: 9*j**5 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9195 + 9192. Which is the fourth biggest value? (a) k (b) -0.3 (c) 2\/3 (d) 263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80, -84, -84, -80?\n\"Answer: 2*g**2 - 10*g - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g + 45*g + 20 = 2*n, -n = 4*g - 16. Solve -12*f + 10*f = -5*x + 2, n*f + 4 = 4*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**3 - 11*o**2 + 7*o - 3. Let b be (-80)\/(-14) + 6\/21. Let p(g) = 6*g**3 + 10*g**2 - 6*g + 3. Let i(a) = b*p(a) + 5*l(a). Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 89. Let n(b) = 4 + 4*b - 3*b**3 - 7*b + 13*b**3. What are the prime factors of n(u)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -277 - -4666242.\nAnswer: 4665965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(18))**2*-3 + 1.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 4*n**7\/105 - 14*n**6\/45 + 5*n**5\/12 - n**4\/4 + 11*n**3\/3 - 22*n. Let h(q) be the second derivative of r(q). Factor h(v).\nAnswer: 2*(v - 3)*(4*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60672, 60682, 60690, 60696, 60700?\nAnswer: 60702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452711131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 26010000 - 10819*g - 14612*g + 5031*g.\nAnswer: 4*(g - 2550)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w = -40. What are the prime factors of -1*(w - (-2 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 84. Suppose -4*j - 15 = -j. Sort 0, f, j.\nAnswer: j, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 21 + -3 + (0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -374.363 or -1?\nAnswer: -374.363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2 + -4)\/((-36)\/1170). Suppose -68*w + i*w = -54. What is the remainder when 143 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65647*o**3 + 39366*o**2?\nAnswer: -393882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z - 21 = 0. Does 18 divide (20 + z)*(-96 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8464*a - 266 = 8502*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8046 is divided by 4020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 89*r**2 - 945*r - 1892. Determine c(-2).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422493 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 123+-0.3\nAnswer: 122.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 855560000 rounded to the nearest 1000000?\nAnswer: 856000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4012848 - 7672848. What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268 - 2026.055492216.\nAnswer: -2294.055492216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148762\/5 + 446306\/15. Find n, given that 8*n - p*n**2 - 20\/3 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2438, 1, 3, -4 in decreasing order.\nAnswer: 2438, 11, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2667 != -445314\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1763*p**3 + 717*p**2 + 1452*p + 355 wrt p.\nAnswer: 10578*p + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 291570962 a multiple of 773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 906856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 2*m + 3*m)*(-2*m + m - m)*(46 + 7*m - 46)*(m + 2*m**2 - m).\nAnswer: 56*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -25819 - 15481. Does 48 divide q\/(-59) - (0 - 1*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 30 = 0, -o = -1186*u + 1183*u + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 - -439. Calculate the highest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5*(sqrt(76)\/sqrt(4) - sqrt(19)))*4)**2*6.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*c = 278 + 820 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10823508.\nAnswer: 2, 3, 41, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 600.367 to the nearest integer.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -71*q**2 + 7038*q + 28174. Give j(-4).\nAnswer: -1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -7\/3413880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + 2*m**2 - 1. Let a be r(-1). Suppose 5*w - a*w - 8 = 0. Solve 0*y - w*y = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:46 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b*b**2*b)\/b))**(-2\/47)\/((b*b\/(b*b**(1\/10)*b)*b)\/b*b*(b*b\/(b\/b**(-16)))\/b) assuming b is positive.\nAnswer: b**(7117\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-162)\/(-7) + (-2)\/14. Suppose -3*t + j = -16. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = h - 21, -23 = -3*a - 2*a - 3*h. Suppose 2 = n, 5*n + 303 = a*b + 93. What are the prime factors of b?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = -24*t - 378 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949424647?\nAnswer: 151, 449, 28753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147.8 - -31.2. Let z = a + -178.9. What is the closest to z in 2\/131, 5, 3?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*y - 1. Let a be 3 + y\/(1 - 2). Let c(r) = 11*r - 1. What is the units digit of c(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2994 - 822 = 2*j. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/60 - 5*q**4\/12 - 2*q**3 - 60*q**2. Let n be x(-8). Solve -3*u = -n*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -473\/159554 or -1?\nAnswer: -473\/159554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34618 and -27.\nAnswer: 934686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.50563 kilometers in millimeters?\nAnswer: 25505630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*z + 11 = -0*z, 5*z = 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1107184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 170*b**3\/3 + 271*b**2\/2 + 341*b. Differentiate s(r) with respect to r.\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8965*a = 8952*a + 2860. Solve 16*p + a = -39*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/24 + 16*v**2 - 1. Factor c(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*y + 58 = -69*y. What is the remainder when 98 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 11:14 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)*(630 - -1). Suppose -7425 - 13845 = -15*q. Suppose b = 3*x - q. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029611664 rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 611, -3\/7, -56 in decreasing order.\nAnswer: 611, 8, -3\/7, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3645) + -2*sqrt(3645))\/sqrt(9).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 2. Let h(g) = -g**2 - g + 1. What is -2*h(r) + y(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -277*c**3 - 5*c**2 - 5*c - 4. Let w(s) = -279*s**3 - 4*s**2 - 4*s - 3. What is -4*b(z) + 5*w(z)?\nAnswer: -287*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3842*s + 7664*s + 352 - 3813*s - 3*s + 2*s + 3*s - s + 1 - 1 + (0 - 4 + 5)*(s + s - 4*s) - s - s + s as g + h*s and give g.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -105 + 1633. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2*(0 - 4). Let f(m) = m**3 + 4*m + a*m + 11*m**2 + 0*m. Does 9 divide f(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4))\/i**(-8))**(-1\/11) assuming i is positive.\nAnswer: i**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Let f(u) = 1714*u - 2. Give h(f(q)).\nAnswer: 1714*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6919 and 92907.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*a + 5*d + 13, -5*a - 2*d = -4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + sqrt(44)\/sqrt(4) + -4*sqrt(55)\/sqrt(5) + sqrt(11) + (sqrt(539)*1 - sqrt(11) - (sqrt(1584) - 2*sqrt(1584))))**2.\nAnswer: 160*sqrt(11) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/15*-4*3450\/(-17940).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmcmmppcm. What is prob of picking 1 c and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497 - 129 = 2*z. Let h = z - -114. Round h to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10637 is divided by 52.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -690*d**2. Let h(x) = -45*x**2. Determine h(w(t)).\nAnswer: -21424500*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Suppose -4*b - 4*s + 30 + 22 = 0, 2*b + s - 27 = k. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(14)\/sqrt(7)) - 3*sqrt(891))*1.\nAnswer: -26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6159 = -11411. What are the prime factors of x?\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 1434801*y**3 - 2*y + 1436394*y**3.\nAnswer: 1593*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.02 + 24.2. Let d = w + -2.18. Which is the nearest to 0.15? (a) -2\/5 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r**2. Let k(w) be the third derivative of w**4\/12 + 79*w**2. Calculate k(y(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m. Let v(x) = -623 + 187*x + 623. Determine v(h(b)).\nAnswer: 374*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-48))\/((-3)\/(-292)) and (3 + (-297)\/6)\/24?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 1\/2*b**4 + 63 + 32\/3*b**3 + 96*b + 52*b**2. Factor w(s).\nAnswer: 2*(s + 2)**2*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/2 - 577*m**4\/5 + 14464*m**3\/5 + 2772608*m**2\/5 - 5466112*m - 574115840 = 0. What is m?\nAnswer: -40, 194\/5, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/70)\/(29\/(-58))*3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 2*z**2 + 15*z + 13. Let a be q(-4). Is (a\/6)\/(-1)*1174 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 1. Give n(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aar when three letters picked without replacement from {a: 2, e: 3, r: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivjh when four letters picked without replacement from {i: 1, v: 1, j: 2, h: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**36*d\/((d**(-3\/4)*d*d)\/d)*d**(1\/3)*((d**(1\/6)*d)\/((d**(-1)\/d)\/d*d))\/((d*d**(2\/7))\/d)**(-12) assuming d is positive.\nAnswer: d**(-73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {x: 1, g: 5, j: 1, z: 3, c: 3, a: 4}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322 - 322. Solve 4*u - 28 = -4*r - t*u, r - 17 = -3*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 4.06. Let n be (-6)\/(-48) - 1\/8. Let l be (-12)\/(-210)*(-7 + n + -3). Which is the second biggest value? (a) l (b) q (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4636.6 times -0.3\nAnswer: -1390.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 10) in base 14?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgjzgjzzzljj. Give prob of picking 1 z and 1 g.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1326871, -1326917, -1326951, -1326973, -1326983?\n\"Answer: 6*s**2 - 64*s - 1326813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, f: 1, k: 3, x: 2, n: 2}. Give prob of sequence ddfn.\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 352477 + -91575. Suppose 3*n + 105098 = -r. Round n to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-564)\/144 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1854 and 123 - ((-5 - -32) + -3)?\nAnswer: 20394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*p + 4, -3*p - 4*z - 10 = 4. Let s(m) = -2*m + 4. What is s(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1292 and 2.274.\nAnswer: -2938.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + (10 + -24 + -11 - (2 + -2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Suppose -r*h + 0*d + 160 = -5*d, 4*d + 200 = 5*h. Let g = h + -27. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 208 + -207. Which is smaller: -2.2 or x?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7427754.819 to the nearest ten thousand.\nAnswer: -7430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*d**2 - 33*d**2 - d + 3*d + 0*d**2 - 4*d**2 + 5*d**2 + (3*d + 0*d - d)*(4 - 4 - 2*d) + d**2 - d**2 - 2*d**2 + 6*d**2 - d**2 - 3*d**2 - d + d**2 + d.\nAnswer: 7*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 25399?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4320\/(-6912))\/(1\/((-84)\/(-15)))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*z - 6*h, -5*z - 952*h = -950*h + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + (sqrt(304) + 2 + sqrt(304))**2))*-1 + -1 + sqrt(304)*-1)*4.\nAnswer: 112*sqrt(19) + 4876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5597130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 9*m**2\/7 - 2*m - 8\/7 = 0.\nAnswer: -4\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 7:50 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 2090?\nAnswer: 10450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72692 and 142177.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + -143.2. Let h = 7.6 + o. Which is the smallest value? (a) -2 (b) h (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 3056328?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3656)\/(-5) + 21\/(-105) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 2*p - 2. Let l be x(-2). Suppose l*r = -2*r. Suppose r*t = -t + 10. Solve 7*s = 2*s + t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6893590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1763 + -1122. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s = 24290 - 20794 for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-1)))**(-10\/9)*j**(1\/10)\/j**(-1\/4))\/((j**(-2\/3))**(-34))**(-3\/35) assuming j is positive.\nAnswer: j**(4289\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37050809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(243) - 1*sqrt(243)))*-5 + -1.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27\/7 + -337\/91. Let a = -46.17 - -45. Let b = a + 0.17. What is the smallest value in v, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d**5 - 13858*d**4\/11 - 419306*d**3\/11 - 4541558*d**2\/11 - 797340*d - 421344 = 0 for d.\nAnswer: -33, -152\/7, -14\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1263*m - 6295. What is z(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.14 + 342.14. Let g = -336.9999797 + d. Round g to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - -9*4\/(-16)*-4. Solve 25 = y*l + l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62766293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.7 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038695 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/8)\/(1\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -78*g**3 + 58*g**2 + 6*g + 120. Let w be s(-26). What is w rounded to the nearest 10000?\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 24. Let s be (-90)\/8 - (-5)\/20. Let g be v(s). Suppose g*j - 65 = 5*d, 3*d - 240 = j - 6*j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (742\/(-159))\/(((-8)\/15)\/4)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/24 + 49*f**3\/6 + 2401*f**2\/4 - 154*f. Factor t(x).\nAnswer: (x + 49)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:02 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11639*f**3 + 21*f**2 + 13*f - 60. Let d be n(-12). Round d to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/(9\/((-135)\/6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 11*c**4\/24 + 4*c**3\/3 + c**2. Suppose -y + 0 + 5 = 0. Let f(t) = 2*t - 4 - 3*t - y*t + t. Calculate 9*f(o) + 4*q(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - -5) + (-36 + 16 - -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/(r\/(r*r*r**(3\/5))))\/(r**(-2\/5))**(3\/17) assuming r is positive.\nAnswer: r**(822\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 204 times 0.2\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 8. Suppose -33 = 6*c - k*c. What is the remainder when c is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*t - 17*t - 4 + t**2 + 3*t**2 to v*t + z*t**2 + g and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/4 - -4)*(-44)\/6. Suppose -x = -5*k + 4. What are the prime factors of 2\/4*(-3 + 231\/k)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*m + 426, -2*q + m + 117 = 558. Let v = q - -908. Let k = v + -168. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -0.3, -1\/4, 2\/5, 3\/7.\nAnswer: -115, -0.3, -1\/4, 2\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 15\/2*c**2 + 23 + 4*c. Find the first derivative of h(a) wrt a.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-350)\/(-888)) + (39 - 45). Let w be 92\/14 - (-18)\/(-63). Let h = w - q. What is the nearest to 8 in h, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4)\/(-48)*(-2)\/(-4)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.12, 1\/3, -953, 1\/6, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -432 - -468. What is the least common multiple of 315 and j?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438288493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 140?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(1\/6)*f)\/f)\/(f*f**(16\/3)))\/(f**(15\/8)*(f*f**(13\/5))\/f) assuming f is positive.\nAnswer: f**(-1157\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 26 = -2*w, 2838*l - 5679*l + 2836*l + 2*w = 26 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 10, 2*i + 2*o - 48 = 4*o. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 11*w**2 - 10*w - 7. Give f(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -1\/3*r**3 - 7\/2*r**2 + 7 - 9*r. What is c(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5196853663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-10)*u\/u**(-9))**19)**(2\/7))**(-19\/2) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 112 + 108. Suppose g = -0*t - 4*t. Let n = t + 21. Calculate the highest common divisor of 40 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 23. Let n be -2 + 12 + -6 + w. What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2539, -3, -75, 2\/9, 0.4 in decreasing order.\nAnswer: 2539, 0.4, 2\/9, -3, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -125\/8 - 75\/8*q - 1\/8*q**3 - 15\/8*q**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 12 = y, -4 = -5*y + 3*g + 2. Sort y, -24, -5, -4 in ascending order.\nAnswer: -24, -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 263.024504 and 0.06?\nAnswer: 262.964504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 25*n**2 + n - 4. Suppose 5*o = 2*i + 24, -5*o + 28 = i + 10. What is the remainder when q(i) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 1\/17*t**3 + 10*t**2 + 0 + 0*t + 7\/204*t**4 - 7\/510*t**5 - 1\/340*t**6. Solve q(g) = 0.\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37904045 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2508 + 91.666599?\nAnswer: 2599.666599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 158*j + 12. Let t(b) = 135*b + 10. Let u(z) = 7*t(z) - 6*x(z). Let i(n) = 1. Let y(l) = -l - 3. Let o(f) = -12*i(f) - 4*y(f). What is u(o(p))?\nAnswer: -12*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/40*-18)\/(5\/25). Suppose 5*f = -3*z + 114, 0 = 2*f + 3*z + 39 - d. Calculate the remainder when f is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 26*m - 1170 = 0. Let o be (2 - 3)\/((-2)\/26). What is the greatest common divisor of m and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 3*t - 5*t)*(5 - 11 + 2) - 2*t + 2 + 0 - t.\nAnswer: -7*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23317, 51231, 79141, 107047?\nAnswer: 134949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 + 310*r\/7 + 1208\/7.\nAnswer: 2*(r + 4)*(r + 151)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 35*f**2 + 12*f + 14. What is the units digit of w(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*s - 853 + 258 - 152 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 14*z**2 + 3*z + 14. Calculate the least common multiple of y(14) and 2 + (-1)\/(8\/(-40)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-208))\/((-8)\/2704).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 12*s**2 + 11*s - 2. Let d be g(11). Let y be 32\/(-20)*25\/d. Suppose b = 5 - 1. Solve -6*h + 2*w = -b*h - y, -3*h = w - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279655, -559305, -838955, -1118605?\nAnswer: -1398255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(10)*-2))**2 + (sqrt(76) - sqrt(19)) + -3 + (sqrt(3648) - 2*sqrt(3648))\/sqrt(3).\nAnswer: -7*sqrt(19) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72, -77, -84, -93, -104, -117?\n\"Answer: -p**2 - 2*p - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (4 + (-1 - -2) + 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 25*m**2 - 42*m - 177. What is the tens digit of p(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2900905, -2900858, -2900811, -2900764, -2900717?\nAnswer: -2900670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 1\/3, 1, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112597 (base 13) to base 14.\nAnswer: -a7961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -22*u. Let h(z) = 359 + 363 + 81*z - 722. Calculate h(f(c)).\nAnswer: -1782*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d - 110. Let s be v(-19). Suppose 0 = -s*h + 4*f + 732, -6*f + 5*f - 726 = -4*h. List the prime factors of h.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34354 and 4094?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 20*p - 13. Let o be t(-9). Solve -o*h = -f - f - 4, -2*f + 2 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 g when three letters picked without replacement from cgcddddddddcdccdcdcd.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 34. Let v be 33\/(-27) + 4\/g. Let s(o) = 4*o**2 + o. Determine s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/648437?\nAnswer: 2\/648437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -17864329 divided by 17864329?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -76*i**4\/3 - 638*i**3\/3 + 448*i**2\/3 + 302*i\/3 - 12 = 0. What is i?\nAnswer: -9, -1\/2, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7640 - -5362. Let m be (i\/(-85))\/((-4)\/(-95)). Let q = m - 673. Calculate the common denominator of q and 22\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 329, 947, 2001, 3599, 5849?\n\"Answer: 18*k**3 + 56*k**2 - 4*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*sqrt(35)\/(sqrt(25)\/sqrt(5)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 5*v**2 + 2*v - 3. Let r = -5 - -2. Let g be z(r). Solve 5*o**2 + 18*o**5 + 3*o + o**2 - g*o**3 - 12*o**4 - 6*o**5 = 0 for o.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - x + 139 = 0, -3924*w + 3921*w = 5*x + 110 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 26 = -5*h, -3*h + 4*c - 5 = 5. Let p(j) be the second derivative of -1\/40*j**5 - 2*j + 0 - 1\/8*j**4 - 1\/6*j**3 + 0*j**h. Factor p(b).\nAnswer: -b*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 52*y + 25. Is 13 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230513 and 97675.\nAnswer: 5762825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1201271812 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/(-50) - 5\/(-58). Let r be 2\/8 + 4 + (-117)\/36. Which is greater: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z - 2*z)*(-8*z - z + 2*z) + 7 - 4*z**2 + 3*z**2 + 5.\nAnswer: 27*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Let j be (-1)\/(-1)*3\/1. Suppose p*a + j*b = -2*b + 17, 3*a - b - 11 = 0. Solve -m - a = -1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*i - 69*i = 52200. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 0.1, 103\/3, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-28)*8\/(-18)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + 3)*(-5 - 1 + 0) - 1 - 1 - 3)*(20*i - 20*i - i**2) - i**2 + 3*i**2 + 0*i**2 in the form g*i**2 + r + n*i and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**11\/(w**(3\/11)*w*w**(-6))*w*w*w*w**4*w*(w\/w**(-4))\/w*w*w*w*((w*w**2)\/w)**(-1\/15) assuming w is positive.\nAnswer: w**(3233\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 14*s - 45. Let o be a(7). Let j = -39 - -53. What is the highest common divisor of o and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4284833 by -4284833.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 7*u**4\/48 - u**3\/24 - u**2 + 489*u. Factor t(j).\nAnswer: (j + 1)*(7*j - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = 0, -5*l - 2*a = -a - 93. Factor -l*b**2 + 4*b + 0*b**3 + 21*b**2 - 2*b**3.\nAnswer: -2*b*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 2:25 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v + 4*y = -16, 10 = 5*y. Let t(r) = 6*r**2 + 20*r + 5. List the prime factors of t(v).\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*i - 114*i + 325*i - 118*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + 2*o. Let u(t) = t**2 + 19*t + 87. Let g be u(-7). Let s(x) = 60*x + x**3 - 4*x**3 + 4*x**g - 61*x. Calculate -6*q(c) - 13*s(c).\nAnswer: -c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.11 - -0.11. Let q(j) = -j**3 - 15*j**2 + j + 14. Let n be q(-15). Which is the second smallest value? (a) 0.3 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 95*k - 96*k + 35584, 0 = -4*k + 4. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8771.865 millilitres in litres?\nAnswer: 8.771865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -69 - 754?\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5953043*y**4 + 12256629*y.\nAnswer: -71436516*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i - 1722 = -1732 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 16 - ((89 + -80)\/(34\/16) + 4).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 7 - 12. Let s be (-2 - 1)\/(y - 30\/12). Factor 5*g**s + 245 + 62*g + 12*g - 4*g.\nAnswer: 5*(g + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -181, -159, -123, -67, 15, 129, 281?\n\"Answer: s**3 + s**2 + 12*s - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*j + 9 = 42*j. Let k be 1\/(-4) + j\/360*-10. Solve -4*a + 4*l + 24 = k, 5*l + 27 = -0*a + 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 5:48 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 22*r + 12. Let n be b(6). Suppose -150 = -3*i + n. Suppose -28*u = -27*u - i. What is the remainder when u is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15)\/m)**(-36)\/(m*m\/m**(-3))**21 assuming m is positive.\nAnswer: m**471","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 23 + (-4 - (4 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1744467?\nAnswer: 3, 43, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*r + 2, 4*g + r + 5 = 6*r. Let c(x) = x**2 - 4*x - 3. Let m be c(5). Let u be 0 + m - 5\/3. Which is greater: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {p: 1, a: 8, g: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.484 times 4?\nAnswer: -1.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*l + 18 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-19)*l**(-4)*(l**19\/l)**14 assuming l is positive.\nAnswer: l**229","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20524722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 6997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.3649 millilitres in litres?\nAnswer: 0.9913649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t - 17. Let n be x(0). Calculate the remainder when (n\/3)\/((-6)\/18) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 3249*h**2 + 3518667*h + 1270238787.\nAnswer: (h + 1083)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1776 - 1981*w + 3965*w + w**3 - 1984*w + 6095 to the form l*w**2 + g*w + b*w**3 + h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2741224.\nAnswer: -1\/2741224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 4. Let y(q) = -q**3 + 6*q**2 + 16*q - 2. Let g be y(8). Let s be w(g). Solve -3*p + 6*x - 4*x - 2 = s, 0 = 4*p + 3*x + 31 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-1 - 43) - -15\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1193.4 - 1192.4. Which is the closest to 0.2? (a) l (b) -2 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 0*b + 6*b + 3*b - 5. Is f(7) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*f = -0*r - 452, -r + 3*f + 153 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7))**(-49)*(a**1)**(5\/7) assuming a is positive.\nAnswer: a**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/24 and 3 - ((-618)\/16 + (-5)\/(-40)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q. Let t(y) = 2*y**2 + 2*y. Let a(v) = t(v) - 3*u(v). Let c(f) = f - 5. Let l be c(6). Determine a(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 4. Let d = 216 + -215.456. Let b = d + 3.456. Sort 5\/4, b, 1, g.\nAnswer: g, 1, 5\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6533 + 6659. Calculate the greatest common divisor of 462 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-6*l + 38 - 38)*(2 + 22*l - 3 - 58*l).\nAnswer: -432*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 797 less than 3.6317?\nAnswer: -793.3683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 43\/(-2 - (-3549)\/1768)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 11 = -1. Let r = -2.65 - 1.35. Which is the nearest to r? (a) d (b) -1\/10 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/146931 and 7\/447?\nAnswer: 21892719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvl when three letters picked without replacement from zczvl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2460360 by 40.\nAnswer: 61509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*k + 3*d, 45*d + 9 = 48*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112111111121 (base 3) in base 13?\nAnswer: 9cba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*r - 3, -3*r - 3*q + 4 = -q. Suppose -r*u + 10 = -7*u. Is 22*(-1 - (0 + u)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -15 in increasing order.\nAnswer: -15, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10601 - -10621. Solve 0 = -21*r + v - 41 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y + 0*y - 3*y)*(3582*y**2 - y - 1794*y**2 + 41 - 1787*y**2)*(-3 + 3 + 2) to s*y**2 + u + t*y + b*y**3 and give t.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -36.152.\nAnswer: -35.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 42 = -706*i + 701*i, i = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (56 + -35) - (0 - -15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (208\/(-2366))\/(((-18)\/7)\/9)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 5*q - 19*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54\/36 + 41\/2 + -2. Let q(w) = -w**2 + 19*w + 25. Let b be q(i). Solve 10*m = b*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-72))\/(30\/(-24) + 1). Let h = 1.84 + -1.6. Sort v, h, -4 in increasing order.\nAnswer: -4, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-316)\/(-40) + -1)\/(22134\/(-18445)).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 49*y**4 + 133*y**3\/3 + 40*y**2\/3 + 4*y\/3 = 0.\nAnswer: -1\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -4, 0, -169, 1, -3, 5 in increasing order.\nAnswer: -169, -15, -4, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000748178565 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 0 - (-5 + 18 + -1 - (250 - 190)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3436.3 - 3436. Let a = -0.2 - 0.3. Let d be 10\/(-4) + (4\/2 - 0). What is the closest to d in a, v, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5694740483 rounded to three decimal places?\nAnswer: 0.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-50))\/(5\/(-10))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16240 at least 16240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -6. Does 7 divide (2 + 6)\/((-2)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 3, 1, 4, 5, 33 in descending order.\nAnswer: 33, 9, 5, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*z + z. Let i be (-4 - 4)\/2 + 41\/(615\/90). Sort i, -2\/5, 4, z in ascending order.\nAnswer: z, -2\/5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*g = -8, -1 = -l - 5*g + 9. Differentiate -1 - 1 - 8 - 2*y**3 + l wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -64.4462.\nAnswer: 64.2462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and -137\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 at most as big as 596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -22892.01?\nAnswer: 114460.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 3434335?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 283574 <= 283576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104249462*l**3 + 7453548*l + 1?\nAnswer: -625496772*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-5)\/70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 222. Let h = 145 + p. Solve 0 = -4*v - 3*n - 17, v + v - h*n = -13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**5\/30 + j**4\/4 - 4*j**3\/3 + 3*j**2\/2 + 6*j. Let q(x) be the first derivative of d(x). Factor q(r).\nAnswer: 2*(r - 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**2\/6 - 1970*i\/3 - 1940450\/3 = 0.\nAnswer: -1970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -9171.\nAnswer: -13\/9171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -37898*4028\nAnswer: -152653144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19102 + 19102. Sort -1, 0.2, 1, d in ascending order.\nAnswer: -1, d, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 69*f**2 + 50*f + 504. Give x(-34).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 - s. Let v be n(1). What is the second derivative of -f**2 - 2*f + f**v - f + f**5 wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = 3. What is the remainder when (-30)\/(-3)*((-18)\/(-4) + -3) is divided by a*(-21)\/9 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28154, 225114, 759706, 1800746, 3517050, 6077434?\n\"Answer: 28136*n**3 + 8*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86 or -84?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - q**2 + 2*q + 2. Let y = -18 - -18. Let c be i(y). Suppose -c*t - 4*j = -3*j - 116, -2*t = -3*j - 124. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*r - 2044, -35*f + 36*f = -r + 2052. What is the highest common factor of f and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/3)\/(-5))\/(10\/75).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486789 and 30.\nAnswer: 4867890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14065326, -14065330, -14065334, -14065338, -14065342?\nAnswer: -14065346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 87 = 11*q - 355. Calculate the remainder when 465 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 + 8*b + 3. Let q(h) = -6*h**2 - 7*h - 2. Let f(o) = -6*q(o) - 5*z(o). Calculate the remainder when f(2) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k**2 + 51*k**2 + 31*k**2 + 13*k**2 in the form a*k**2 + v + w*k and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7597707, 7597726, 7597751, 7597776, 7597795?\n\"Answer: -c**3 + 9*c**2 - c + 7597700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 1. Let t(x) = -978*x**3 + 6*x**2 - 2*x - 10. Let p(m) = 5*g(m) + t(m). Is p(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 4*g - 2. Let p(l) = -l**2 + l + 1. Suppose -3*d - 1 = -4*d. Calculate d*s(o) + 4*p(o).\nAnswer: -3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 2*t**3\/3 + 1. Let c be (-11)\/(-5) + (-2)\/10. Let b(x) = c*x + 3*x + 7*x - 7*x. Give b(a(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -0.121 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 931542516 less than or equal to 931542516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15582, 111, -2, 1 in descending order.\nAnswer: 111, 1, -2, -15582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(28)*-2 - sqrt(112)*2)\/(-1*sqrt(100) + sqrt(4) + sqrt(144) + sqrt(144)*-2 + sqrt(4) + sqrt(4)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 1007414?\nAnswer: -1007419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 63 = -2*r, 0 = -0*r - 2*r + c + 43. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14251365 < 14251370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 0.2. Let w be (1*32\/12)\/(1\/(-9)). Let o be w\/(-540)*(1 + 2). Which is the second biggest value? (a) o (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/110*(-10180)\/1527.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -542 - -2723\/5. Let z = 1\/13506 + -395053\/33765. Calculate the common denominator of j and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 23 + 73 = 0. Suppose -z + 44 = 8*a. What is r in 6*r**4 - 2*r**4 - 8*r**a + 4*r**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/29? (a) 4 (b) -0.2 (c) -3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*c - 9 = -2*c, 25 = -5*c. Let h be 11\/(44\/(-24)) - m. Sort 2, h, 11 in decreasing order.\nAnswer: 11, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1.1, -6, -5, -2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 4:05 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-18) - (-9)\/(2649105\/330848)\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07186*-0.04.\nAnswer: -0.0028744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 986.7749 decades?\nAnswer: 118412.988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5071*r**4 + 2*r - 16803 wrt r.\nAnswer: -20284*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545712 is divided by 111.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 9*f - 60 = 0. Let t be (-825)\/f + 2\/8. Suppose -5*k = -70 - 140. What is the highest common factor of k and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - 1617?\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 228.607 * 0.207\nAnswer: 47.321649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 314001 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.5 - -2.5. Let y = -39 - f. Which is the closest to y? (a) 0.4 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3077 - 7.\nAnswer: 3070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 1)*(3*v - 5*v - 5*v)*(1 - 2 - 19) as x*v + c and give x.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94*i**4 + 684.\nAnswer: 376*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7530190 from -0.1246.\nAnswer: -7530190.1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 183, 181, 179?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -25*c**2 + 1. Let f(m) = 3*m**2. Determine f(b(k)).\nAnswer: 1875*k**4 - 150*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, q: 6, r: 5}. Give prob of sequence xrr.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u + 84*u + 35*u.\nAnswer: 88*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 9*r = 5*r. Suppose 2*l + k = 5*k + 24, r = 3*l - 4*k - 28. Suppose -l*q = -t - 4, 4*q + 4 - 8 = 4*t. Solve 8 = -3*y - q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -28. Suppose -91 + 8 = -s*c + 2*z, -2*z = -2. Find the second derivative of -3*f**2 - c*f**5 - f + 3*f**2 + 31*f wrt f.\nAnswer: -340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -52*a - 138. Determine f(9).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 27, 46, 69, 96, 127, 162?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19086351, 38172706, 57259061, 76345416, 95431771?\nAnswer: 114518126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 121*a - 2. Is w(1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-72)\/60)\/(4\/(-10)). Which is smaller: 30\/13 or y?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5805907 (base 10) to base 4.\nAnswer: 112021131103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 2*z**2 + 0*z**2)*(411*z - 747*z + 751*z) in the form i*z**3 + p*z + u + s*z**2 and give i.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*l + 85*l - 153659 = -1791*l + 3322 for l.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4701.\nAnswer: 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 318181 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11261272 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*n - 2*j, 5*n + 5*j - 28 = 7. Calculate the highest common divisor of 10 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4494 and 8636184?\nAnswer: 60453288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 14.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*u**5 + 18438*u**3 + 7*u**2 - 4633*u - 3 wrt u.\nAnswer: -1260*u**2 + 110628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4))\/(65\/78).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6641477 is divided by 482?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - 1.95. Let h = 0.051 - -3.649. Let o = 4 - h. What is the second smallest value in c, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105265549 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 28*x - 21. Let w(q) = q**2 - 9*q + 7. Let k(l) = 2*t(l) + 7*w(l). Suppose -41*z = -33*z - 32. Determine k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319466293.\nAnswer: 319466293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 2. Let v be (-7 - -4) + (-1 + -1)\/2. Let i(p) = -2*p + 3. Determine v*m(n) + 3*i(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271 + 273. Solve -5*q + 10 = -s, 3*s + m = -0*s + q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 12:23 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86161.8 millilitres in litres?\nAnswer: 86.1618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18790358 is divided by 517?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**6\/30 + 2*k**4\/3 - 3*k. Find the third derivative of s(j) wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -0.07, -68 in ascending order.\nAnswer: -68, -0.07, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 9*w + 4*w - 4, c + 5*w + 1 = 0. Suppose -4*v = 4, -3*v + 62 = 20*a - 15*a. Sort c, 0, a in descending order.\nAnswer: a, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.076 or -1?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvnvhbbbbhhnlbhbh. Give prob of picking 1 v and 1 l.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5539 + 38602\/7. Which is bigger: -24 or w?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31037 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60899?\nAnswer: 60899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1)\/3)\/((-3)\/3933)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -97387 + -17?\nAnswer: -97404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 2*t - 2 - 7)*(-2801*t**2 - 2829*t**2 + 5854*t**2) in the form y*t + k*t**2 + q*t**3 + a and give k.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5 + 54*c**4 + 117*c**3 + 60*c**2.\nAnswer: -3*c**2*(c - 20)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -6*y + 0*y**2 + 0 - 1\/6*y**3 - 1\/6*y**4. Find the second derivative of f(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 u, and 2 j when four letters picked without replacement from {j: 2, x: 2, u: 1, t: 4, e: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 8. Let f be c\/(-9)*9\/2. Suppose 2*t - 32 = -b, -b = f*t - 0 - 48. What is the remainder when 47 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/((-910)\/4095*(-105)\/(-10))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3fc17 (base 16) to base 13.\nAnswer: 91b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 5, 1.92, -2, 1468, -5\/3?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Let k(n) = -28*n + 5. Calculate k(o(s)).\nAnswer: -28*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8377769 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 549\/218 - 2\/109. Let f = -2 + n. Let x = -0.16 - -0.56. Which is the nearest to f? (a) 3 (b) -5\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 519, 4, 6, 4\/5.\nAnswer: 4\/5, 4, 6, 519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 77*m**2 - 327*m - 260. Determine p(-81).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t - 30. Calculate the remainder when 531 is divided by g(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034910386?\nAnswer: 2, 3, 37, 571, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + 31200202?\nAnswer: 31200302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -56*l**6\/3 + l**3\/3 + 21*l**2\/2 + 277. Find the second derivative of o(a) wrt a.\nAnswer: -2240*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 - -45. Let x be 4\/l - -38*2\/18. Solve k = -5*h - 18, -18 = 4*k + x*h - 2*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 8*q - 9. What is the units digit of m(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 2)*(-4 - o + 4).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -5562?\nAnswer: -5563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683074976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l. Let i(h) = -44*h. Calculate o(i(a)).\nAnswer: -132*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p + 2*p - p)*(-4*p + 4*p - 2*p**2) + (-5*p**3 + 5*p**3 + p**3)*(-4 + 4 - 3) in the form k*p + i*p**3 + x*p**2 + c and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)\/(o\/o**6))\/((o*o\/o**(-2\/11)*o)\/o**(1\/3)) assuming o is positive.\nAnswer: o**(235\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t**(10\/13)*t)\/t*t*(t\/(t*t**(9\/8)))\/t*t*t assuming t is positive.\nAnswer: t**(275\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (0 - -10) - (-201 + 197).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -307 + 279. Let g = y + 27.77. Let l be (1 + 1)\/12*-2. Does l = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(17) - sqrt(833))*-3 - (-4*sqrt(153))\/sqrt(9)))**2.\nAnswer: 131648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676139919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 86 = j, 4*a + 13 = 65 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 407*g**2 - 8*g + 7. Let r(l) = -816*l**2 + 14*l - 11. Determine -3*r(x) - 5*w(x).\nAnswer: 413*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129335389?\nAnswer: 29, 4459841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**7\/280 + v**6\/60 - 16*v**3\/3 + 6. Let a(q) be the third derivative of t(q). What is the third derivative of a(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132527952863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-152)\/114)\/((-80)\/45).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -148*q**3 - 6*q**2 + 2*q - 7. Let b(l) = 49*l**3 + 2*l**2 + 2. Determine 13*b(y) + 4*i(y).\nAnswer: 45*y**3 + 2*y**2 + 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 1819*q**3 + 205657*q**2 - 259464*q + 51984.\nAnswer: (q - 1)*(q + 228)**2*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-93 - 3)\/4 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, -2\/45, -0.1, 62259?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l - 4. Let u(b) = -b + 1. Let h = 14 + -15. Give h*j(r) - 3*u(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 432090?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.79298542?\nAnswer: 0.317194168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/((-215)\/190))\/(4\/((-4)\/(-2))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -13*j + 93. Let y be w(7). Solve -2*n + n = 5*i - 15, -3*i = y*n - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -24*u**2 + 15*u**2 + 11*u**2 + u**2. Let c(y) = 17*y. Determine c(s(w)).\nAnswer: 51*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/5 - 4317*d**2\/5 + 997146*d\/5 + 2011568\/5 = 0.\nAnswer: -2, 247, 4072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 95. Let o = a + -28. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116*c**2\/7 + 6224*c\/7 - 9984\/7.\nAnswer: -4*(c - 52)*(29*c - 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6813112611?\nAnswer: 3, 24971, 90947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -0.2 (b) -5 (c) 12 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(71*s + 79*s - 45*s).\nAnswer: -210*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26727543 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7 - 25 + 3*n + 12 + 12 + 0*n. Let o(z) be the second derivative of -z**3\/6 - 2*z. What is o(a(w))?\nAnswer: -3*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11888.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 48\/35?\nAnswer: 48\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -6, -4, 2\/11, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/q**9*q**(-4)*q**(-2))\/((q**3\/(q\/(q*q**(3\/4)\/q*q*q)))\/((q\/q**(-2\/31)*q)\/(q*q**(-1\/4)\/q))) assuming q is positive.\nAnswer: q**(-3305\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (258\/45 - 6)*3\/(-2). What is the closest to k in -2\/11, 5, -3\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10 + u + 9*u**2 - 14*u**2 + u**3 + 4*u**2. Let f = 1 - 1. Let w be f\/(-2)*(1 + 0). Give d(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 35*c - 12*c + 45 - 38. Let t(m) = 11*m + 3. Let i be -91 + 93 - 9\/1. Determine i*t(u) + 3*o(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5609 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31346?\nAnswer: 2, 7, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2. Let p(i) = 2*i**2 + 4*i + 4. Let h(o) = -2*o**2 - 5*o - 5. Let f(n) = -4*h(n) - 5*p(n). Determine f(d(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.1 + -13. What is the closest to -1\/2 in -0.4, j, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -22*q - 6. Let h(y) = 14*y + 4. Calculate -8*h(v) - 5*x(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-630)\/3087)\/((-75)\/420)*-1?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 2.1 (c) 1.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -349541.1000012 + 349541.7. Let o = g - 0.6. Round o to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.2556 micrograms in kilograms?\nAnswer: 0.0000008312556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**5\/360 + v**4\/36 - v**3\/12 + 23*v**2\/2 + 2*v + 2. Let u(a) be the second derivative of x(a). Find s such that u(s) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.273 and 0.8.\nAnswer: 3.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 2:10 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4409 and -0.25.\nAnswer: -1102.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - 43b7?\nAnswer: -439a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-1)\/2)*2. Suppose -7*r = -f - l*r + 11, -3*r - 6 = 0. Suppose -f*k = m - 8, -2*m - 3*k + 0*k = -13. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10*(-429)\/(-1716) - 219\/5\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = a - 6*v + 9*v, 3*a - 5*v = -27 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttjjjjjttttjtjjjj. Give prob of picking 1 t and 3 j.\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4528\/3 + 1510. Which is the second smallest value? (a) 2 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001111220 - 21210?\nAnswer: -10001210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3676\/7*n - 1689122\/7 - 2\/7*n**2 = 0.\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 9. Suppose -5*d - 4 = -3*h, 3*h + 2*d + z*d = 14. Suppose 0 = -a - t + 12, -4*t + h = 15. What is the remainder when 42 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-16 - 2) + 317 + -307?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2421 is divided by 807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z + 15 = 0, -4*w - z - 1 = 0. Let q = 0.05 + -0.15. Sort w, q, -3 in descending order.\nAnswer: w, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(((-2)\/12)\/((-6)\/9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 + 4412*y**2\/7 - 1179560*y\/7 - 4990201904\/7.\nAnswer: 2*(y - 982)*(y + 1594)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-22)\/(-10))*((-300)\/18 + 0)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*v - 5*z, -5*v - 5*z + 28 = -17. Factor -4*k**2 + 10*k**4 - 4*k**3 - 22*k**v - 4*k**5 - 8*k**3.\nAnswer: -4*k**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.829 + -0.329. What is the closest to 2\/13 in 3, j, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16923952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 - -144. Solve -5*s + 2 = z*m - 4, -3*s - m + 2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -350.7426 + 4.5326. Let o = 342 + f. Round o to one decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2241216, -2241214, -2241212?\n\"Answer: 2*i - 2241218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17206997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -2 - (41 - -82 - 36).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/12 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Suppose -u*a = -0*a - 22. Suppose a = 3*n - 31. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k + k + 2*k)*(-18 - 9 - 1) + (-3*k - 3*k + 4*k)*(-11 - 1 - 16)*(-4 + 3 + 0))*(-3 - 1 + 2).\nAnswer: 56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43024 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4) + (0 - -1) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 996590456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88230225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -109*x**2\/2 + 25*x - 2. Suppose 77 - 119 = 7*g. Is v(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 + q. Let d(z) = -388*z**2. Give w(d(x)).\nAnswer: -752720*x**4 - 388*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -21. Let a = -20 + p. What is the third derivative of -2*h**a + 0*h**3 - 9*h**2 - 2*h**3 + 2*h**2 wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1309 + 1308.7. What is the nearest to -2\/5 in -26, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100020 - 1002?\nAnswer: 22011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -113091 divided by -447?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) - 3*(2 + sqrt(7)))**2.\nAnswer: 62 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*o + 8, -3*o - 2*o - 20 = -3*q. Suppose 2*h - 2*n + 5*n + 3 = q, 2*n = h - 2. Solve -s = -h*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - 0) - -2 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 46*d**2 - 2889*d. Let p(h) = 17*h. What is p(t(o))?\nAnswer: 782*o**2 - 49113*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 3*s + 2. Let y be w(-2). Suppose 3*c = -5*a + 10, 5*a - 16 = y*c - 6. Suppose 4*n = a + 14. Solve -n = -2*j + j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -585.3637 rounded to the nearest ten?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*j**2 - j**3 + 2*j + 1972 - 1972 in the form t*j + r + d*j**2 + k*j**3 and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12865926 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-6)*j**2*(j*j*j**(1\/5)*j)**(-22\/5)*(j*j\/j**(-1))**(-22)*(j**(-1))**(-38) assuming j is positive.\nAnswer: j**(-827\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5799742 and 338.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -6 - -11)\/(2 + -1). Suppose 8 = 4*w, -3*w - 4 = v - 5*w. Solve u = -v + r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**4\/4 + 61*x**2 + 1. Let w(h) be the second derivative of 0 - h + 0*h**3 + 0*h**2 + 1\/6*h**4. Determine w(l(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*u - 231 = 185, -3*w = -5*u - 1234. What is the greatest common divisor of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**0*c))\/c**(3\/5) assuming c is positive.\nAnswer: c**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a factor of 480465080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 3*r**2 - 2*r - 2. Let y(l) = -4*l**3 + 5*l**2 - 5*l - 5. Let w(u) = -13*c(u) + 6*y(u). Let j be w(5). Solve 2*p = -1 - j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151\/3 - 4678\/93. Let c be 10\/(-25) + (-568)\/(-20). Let k be (4 + 0)*7\/c. Is k at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - 11) + (6 - 0). Solve 15*s + 10 = -n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 - 3*v - 8. Let n be (-4)\/10 - 204\/15. Let s = -8 - n. What are the prime factors of c(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2035846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*y + 2398866 = -10*y - 1200901. What are the prime factors of y?\nAnswer: 17, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/30 - 11*s**4\/24 - 5*s**3\/6 + 23*s**2. Let x be h(8). Calculate the highest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -308365?\nAnswer: -8\/308365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 3. Let g be o(5). Let x be (-12)\/15 - g\/10. Let q be 42\/(-28)*(-1)\/(6\/4). What is the nearest to q in -2, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 20. Calculate the remainder when 22 is divided by g(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1625 = 189*i - 952 + 876 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(2\/13)*y*y**(2\/9)*(y\/(y*y**3))\/y**(-2))**8 assuming y is positive.\nAnswer: y**(1936\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdrrmdmrrdmr. What is prob of sequence dd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.4 - 33.9. Which is the nearest to 2\/5? (a) 21 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 59638, 2, 3, 130 in ascending order.\nAnswer: -1, 1, 2, 3, 130, 59638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -11. Let d be (-8)\/(-48) + 58\/i. Solve l = -4*g + d*g + 7, -l = -2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 7*r + 4*r**2 + 8*r + 6 - 2*r**3 to p*r**2 + n + o*r + j*r**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Let w be c\/12 - (-30)\/8. Suppose -4*b - 244 = -w*h, -102 = -3*h - 4*b + 116. What is h rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + k. Suppose -10 = 4*r - 2. Let z(n) = 10*n**3 - n**2 - 3*n. Let v(p) = r*t(p) - z(p). Let i be v(-1). Solve -5*w - 3 = i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 1. Let g = -5 + 8. Suppose 4*k - g*l - 103 = 0, 5*l - 70 = 4*k - 7*k. What is the remainder when k is divided by p(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q\/(q\/(q\/(q*q*q**(2\/35)))))\/q)))\/(((q\/q**39)\/q)\/q))\/((q\/q**39)\/(q\/q**(-12\/7))) assuming q is positive.\nAnswer: q**(2753\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/3 and ((-1)\/5)\/(-6 + 18126\/3015).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/35 (b) -4 (c) 0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l - 3. Suppose -2*b = -7 + 3. Suppose -t + 0*t = b. Let o be s(t). Solve 4*x - o = w, 5*w - 17 = -2*x - 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 21*j - 30. Let b be v(25). Suppose 0 = -71*i + b*i + 3. Solve s + i = -2*k + 4*s, 0 = -3*k + 4*s - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 24. Let t = j + -8. Let f = 35\/2 - 17. Which is the closest to t? (a) 1 (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/18)\/(3\/(-18)) + -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 64476?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -425\/82 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + i, -i + 2 = -3*x. Which is the nearest to -1? (a) 0.1 (b) -1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417421?\nAnswer: 41, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27335832 and 4764?\nAnswer: 27335832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 7*p**2 - 8*p - 6. Give g(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4249, -4257, -4265, -4273, -4281?\nAnswer: -4289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24790 - -24979. Solve s - x = 28*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -8 (b) 1\/1411 (c) 2 (d) -0.03 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*g + 17, -25 = -f - 4*g - 7. Let l be (-27)\/12*-1*-28. Let v = l - -96. Calculate the highest common divisor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = o - 12. Let k be (-2)\/o - 48\/8. Let n be 12\/k - (-14)\/35. Is n less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3891700 to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*u - 5*y, -u + 4*y = 3*u + 12. Is (-656)\/u + 2\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11283769161 - 433.\nAnswer: -11283769594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, f: 3}. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 1\/3, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -190*(-739)\/(-24). Let u = b - -5863. Calculate the common denominator of 89*((-165)\/(-42) + -4) and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 + g + 204 - 195.\nAnswer: g + 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 15*z**2 + 6*z + 28. List the prime factors of j(-12).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -26*b**2 - 545*b + 2171. What is c(4)?\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440880663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -25. Let h be (3 + a\/(-6))*-4. Let s(i) = 2*i**2 - 6*i + 6. Is s(h) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from {n: 3, d: 7, k: 1, w: 2, b: 1, a: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + 3*k**3 - 2*k**3)*(-4*k + 117 - 117) + (-k + 0*k - k)*(-k**3 + 2*k**3 - 3*k**3) + 2*k**4 + 4*k**2 - 4*k**2.\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, 4 in descending order.\nAnswer: 5, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26263 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - v**2 - 7*v**2. Let j(l) be the first derivative of -l**2\/2 + 4. What is j(w(k))?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 6*(-8)\/(-12). Solve 2*w = 6*w - u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -3*d. Let s be d\/1 + 8 + -5. Find the third derivative of 4*b**s - 5*b**2 - 3*b**2 + 6*b**2 + 0*b**6 wrt b.\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808155976?\nAnswer: 2, 47, 2149351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35403, -35405, -35377, -35301, -35159, -34933?\nAnswer: -34605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 89114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(3 + -1)\/(-4). Suppose v = -3*s + 4 + 2. List the prime factors of (23\/s)\/((-6)\/(-12)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168\/17 + 10. Suppose 3*r - 33 + 12 = 0. Let v be r\/6 + (-6)\/9. Which is the closest to v? (a) -0.4 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 90 = 5*m - 5*o, -5*m + 86 = -4*o. Suppose 5*r + 0*r - m = -l, 2*r + 4 = -2*l. Is l\/(-14) + (-1510)\/(-70) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*g, g + 21 = 2*j - 0*j. Suppose 3*b = k - 15, 4*k + b = -b - j. Let d be k\/(-1) + (24\/30)\/(-2). Sort 4, 5, d, -5.\nAnswer: -5, d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(1 + -2))\/(-2). Suppose z = -p*z. Solve -7*u = -2*u - 3*d + 14, z = 4*u - 4*d + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 15*v - 13. Differentiate 7 + 6 + v - 66*r - 24 wrt r.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpunezup. What is prob of picking 1 n, 1 k, and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -210990954513 and -0.2?\nAnswer: 210990954512.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 44, 42, 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 0.3 (c) -5 (d) -2\/11 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a tonne in kilograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 439*u = -434*u - 5, 5*j - 109 = 43*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 400?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 4*x**2 + 4*x + 3. Let k be g(-3). Let m be k\/(-1 - -5) + -1. Sort m, 1, 3 in descending order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 67\/4 of a milligram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrzrzdz. What is prob of sequence rzzr?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13*i)**(-7\/9) assuming i is positive.\nAnswer: i**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(288)*2 + 1 - (sqrt(288) + (1*sqrt(288)*3 - sqrt(288)))) + (sqrt(288) - 1*sqrt(288)) + -3 + 1 + 2)**2.\nAnswer: -120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*b - 5, -8*k - 28 + 124 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l + 5*w + 1 = 0, 2*l = -4*w - 2. Suppose 22 + 23 = l*p. What is the greatest common divisor of p and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*w + 40, 2*w = -3*x + 19 + 87. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1835 or 47\/6?\nAnswer: -1835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srpp when four letters picked without replacement from {p: 7, b: 1, s: 9, r: 2}?\nAnswer: 21\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 747 - 502. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/8*120\/1950?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 435\/10 + (-1)\/2. Suppose 4*a + g = 2*j + 13, a + j + 9 = 0. Let t be (-66)\/a*(-14)\/21*-4. What is the highest common factor of 176 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.4 and 29?\nAnswer: 98.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - 49. Suppose 3*d = 3*b + 37 - 10, -b - j = -3*d. Suppose 0 = k - d. Let g(m) = -9*m + 2. Let a(n) = -4*n + 1. What is k*a(y) - 6*g(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 1, v: 1, n: 1, p: 1, r: 1}. Give prob of sequence rbv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-77))\/(1\/2). Which is the smallest value? (a) 0.2 (b) x (c) 0.01 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {n: 3, h: 5, g: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3326 + 6402?\nAnswer: 3076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153681 and 2343?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 19*d - 3 - 4*d + 21*d.\nAnswer: 38*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 431970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -210.9998937 + 211. What is q rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*c + c - 11, -c + x = -5. Let z be ((-2)\/c - (-15)\/(-70))*-6. Let a be (-4)\/16 + -95*z\/108. Which is bigger: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13786 - -13830. What is the second smallest value in -9, n, -2\/3, 3, -4\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, y: 3, f: 2}. Give prob of sequence zfzz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14361730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -4906 and -164.\nAnswer: 804584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1520 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -331 - -499. What is the greatest common divisor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3886297602?\nAnswer: 2, 3, 11, 43, 124489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 954, 1921, 2888, 3855, 4822, 5789?\nAnswer: 6756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 4*b**2 + b**2 + 2 - b**2 - 2 + (-b + 2*b + b)*(-2*b + 2*b + b))*(-b**2 - 4*b**2 + 8*b**2).\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*t + 4. Let n(v) = t - 3 + 5 + 2*v. Let a(q) = q + 2. Determine -5*a(h) + 2*n(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -34728 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1902?\nAnswer: 5706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 19. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 51. Which is greater: 17 or q?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 124 + -4?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.580338 minutes in microseconds?\nAnswer: 514820280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -120*b**2 + 11*b + 19. Calculate y(-2).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 43?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3271 is divided by 88.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -20. Let a(p) = 17. Let o(z) = 6*a(z) + 5*f(z). Let n(x) = x - 5. Let t(r) = 2*n(r) + 5*o(r). Let y(s) = 26*s**2 - 8. Calculate y(t(k)).\nAnswer: 104*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1202 and 55900.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*d**2\/5 - 242554*d\/5 - 14268\/5.\nAnswer: 2*(d - 7134)*(17*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 47*f**2 + 15*f + 228. Let h be k(24). Solve g - 13 = -5*m, -5*g + 2*m - 1 = -h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 544 + -326. Let u = m - 141. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11628243 is divided by 2907056?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 3. Let h be w(7). Suppose -2*v + 2*a - 3*a - 6 = 0, 0 = 4*v - 2*a + h. Is (v + 46)*4\/8 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 7143381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**4\/24 + b**3\/2 + 25*b**2. Let x(m) be the first derivative of 3*m**2 - 16*m - 18. Determine 16*q(t) + 3*x(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + 4. Let r = -120.6 + 161.4. Let m = n + r. Which is greater: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*v**2 + 6*v**2 + 11*v - 59*v - 2*v**5 wrt v.\nAnswer: -40*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/24 + q**5\/10 - 10*q**2. Find the third derivative of n(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + q - 166, -5*q = -4*v + 64 + 92. Let d = v + 56. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkllakkssakvvvvk. What is prob of picking 1 v and 1 a?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -217560 + -18?\nAnswer: -217578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 102 - 393 = 0. Calculate the greatest common divisor of 44 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5690, 1.\nAnswer: 1, 2, 5690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:13 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-863)\/(-7) - (-12)\/294*-7. Suppose -7*v + 5*v + 2*d + 234 = 0, d = -v + f. Is 6 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 46 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s + 3465 = 50*s. What is the remainder when 1054 is divided by s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**(2\/7))\/h)\/h)**(-15\/4)*(h*h**4)**(-1\/4) assuming h is positive.\nAnswer: h**(-65\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 234, 549, 1000, 1593, 2334, 3229?\nAnswer: 4284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(2\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21728 - -912623\/42. Let p be -3 + 3 + 9\/7. Let f = p - q. Is 0 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-50))\/(1*-1). Suppose -2*v + 5*q + 7 = 0, -v + 2 + u = -4*q. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 19153550642*j**4\/13 + 38307884172*j**3\/13 + 19155116426*j**2\/13 + 782904*j\/13 + 8\/13 = 0.\nAnswer: -1, -2\/97861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104281 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*o**2 - 3 - 44*o**2 - 51*o**2.\nAnswer: -6*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-8)*9\/27. What is the nearest to y in -2, -5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 13*u**4\/2 + 16*u**3\/3 - 13*u**2 - 16*u - 11. Let k(z) = 5*z**3 + 3*z**2 - 5*z - 3. What is -3*i(q) + 16*k(q)?\nAnswer: 2*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 261\/(-2)*((-3136)\/(-882) + (-24)\/6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/4 - l**3\/3 + 5*l**2\/2 + 4*l - 668. Let x(g) = -21*g**2 + 15*g - 36. Calculate -15*j(r) - 2*x(r).\nAnswer: -3*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3546? (a) -0.5 (b) -0.2 (c) 0.3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-118)\/(-16) + (4 - 1)\/(12\/(-28)). Factor w*t - 1\/8*t**2 + 0.\nAnswer: -t*(t - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -13*r + 7. Let o(s) be the second derivative of 0 - 3*s - 3\/2*s**2 + s**3. Let a = 23 - 14. Determine a*o(n) + 4*d(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2 + r. Let w be x(-1). Let i be (-2 - -3) + w + -2. Suppose -i - 42 = -5*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2383, 263, -0.4?\nAnswer: -2383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -336, -673, -1010, -1347, -1684, -2021?\n\"Answer: -337*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 12. Suppose 3 = y - x. Suppose y*w = 2*w + 20. Solve 4*r + w = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 5*w - 6. Let c be j(3). Suppose c*a - 9*a + 6462 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 231 = -4*p + 5*g, -3*g = -4*p + 297. Let t be (-924)\/10*(-240)\/p. What is the second derivative of 9*m + 284*m**3 - 32*m - t*m**3 wrt m?\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - -1*sqrt(136))\/sqrt(8) + sqrt(425) + -1 + -2.\nAnswer: -3 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.23527888.\nAnswer: -0.070583664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 1. Let l(b) be the first derivative of -1\/2*b**2 - 1 + 3*b. Let v(i) = 1. Let x(q) = -3*l(q) + 8*v(q). What is 5*c(p) - 4*x(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (468\/273)\/((-1584)\/(-308))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**2*j*m**2 - d**2*v + d*j*m**2*v - 8*j*m**2 - 3949*j*m*v - 4 wrt v?\nAnswer: -d**2 + d*j*m**2 - 3949*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16085.\nAnswer: 5, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1188 and 1081620.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)\/(b**(-3\/5)*b))\/((b\/(b**(1\/5)\/b)*b*b*b)\/b**1) assuming b is positive.\nAnswer: b**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g. Let k be d(1). Let x be 81\/(-24) - 6\/(-16). Calculate the lowest common multiple of 15 - (k - (-1 + x)) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1067, -1590, -2459, -3674?\nAnswer: -5235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250695943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2069, -4173, -6277, -8381, -10485?\nAnswer: -12589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334414287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/59 at least -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, 0.0188, 1\/4 in increasing order.\nAnswer: -1.7, 0.0188, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36521635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 81.21682 milliseconds?\nAnswer: 81216.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -15. Let n(p) be the third derivative of 3*p**2 - 1\/6*p**4 - 1\/6*p**f + 1\/60*p**5 + 0*p + 0. What is n(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*z**3 + z + 0*z**3 + 4*z wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 5. Let j be l(-8). Is j >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 551243, 551241, 551263, 551321, 551427, 551593, 551831?\n\"Answer: 2*j**3 - 16*j + 551257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 41 + 55 = 0. Let t be -12 + 156\/4 - -5. What is the greatest common divisor of t and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*m + 4*n, -2*m + 194*n - 191*n = 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 + -242. What are the prime factors of (-4524)\/z - 2\/6*-1?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 155 + 167 = 0. Does 15 divide k + (349 - 30) + (-1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138 (base 12) to base 14.\nAnswer: d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 - 1 + 1)*(7557 - 6124 - 6669) to a*w + d + o*w**2 and give o.\nAnswer: 10472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-5))\/((-9)\/(-54)*45\/27)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 - 170. Sort 2\/7, -0.3, l, 15.\nAnswer: -0.3, 2\/7, l, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 15 = 0, -5*f - 4*a - 4 = -8*f. What is the lowest common multiple of 138 and f?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 203643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 (base 11) in base 10?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.2 (b) -2 (c) -1.054 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -677485 + 7.4.\nAnswer: -677477.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 127 - 121 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((4 - -2) + -8 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8460046*1.\nAnswer: -8460046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -566 + 577. Solve 11 = 11*v + o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 236*v - 195. Calculate h(-1).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29314 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2 + 4 + 1 + 7 - z. Let p be h(7). Let d be 182\/10 - p\/15. What is the highest common factor of 126 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/(-1) - 0\/4. Let f = 89 - r. Suppose -5*x + 17 + f = 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 202868?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220320091?\nAnswer: 163, 683, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1697, 3448, 5187, 6908, 8605, 10272, 11903?\nAnswer: 13492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/247 + -1006\/2223. Let t = -0.4 - -0.2. Let q = t - -0.1. What is the second smallest value in q, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 5*j**2 - 32*j - 79. Let p be m(-3). Let d(x) = 9*x - 29. Let a be d(9). What is the greatest common divisor of a and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**4 + 506*j**3 - 126*j**2.\nAnswer: -2*j**2*(j - 63)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 + 4*x - 3. Let n(z) = 6*z**2 - 4*z + 3. Let i(p) = 2*n(p) + 3*w(p). What is i(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4420*r - 47127 = -1023*r + 94391 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(21)\/sqrt(300)) + -1.\nAnswer: -1 + 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from nnhnnuunuxqu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25878*a**3*l*x**3 - 75*a**3*x**3 - 11*a*l*x**3 - 23*a*l*x + 2*a*x - 2*a + l*x**3 - 6*x wrt a.\nAnswer: 155268*a*l*x**3 - 450*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9714*d - 46502. Calculate y(-5).\nAnswer: 2068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.5 + 57. Let s = v - 21. Let t = 5 - s. Sort -5, 3, t.\nAnswer: -5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(7\/5)\/(b\/(b**4\/b))*(b\/b**2*b)**(-12) assuming b is positive.\nAnswer: b**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - f + 3 + f + 7*f.\nAnswer: 7*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -26*1*(1 - 0). Let v = -21 - y. Solve 0 = v*n + k + k, 3*n - 21 = 3*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 - 15*f**2 + 10*f + 20. Let s be ((-39)\/(-6))\/((-14)\/28). Is r(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*m - m - 36, -5*w + 4*m - 63 = 0. Let z = 18 + w. Let n be 3\/(-6)*2\/z. Sort -0.3, n, -3 in ascending order.\nAnswer: -3, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4888855 is divided by 615?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 35 = -2*r, -18*r - 4*l - 25 = -17*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 248 in -15, 6\/5, -2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 0*i + 6*i**3 - 3 - 83*i**2 + 243*i**2 - 159*i**2 in the form r*i**2 + n*i**3 + q*i + u and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/580 and -21\/551174.\nAnswer: 5511740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)*w*w**(2\/13))**(-4\/19)*(w**(-1\/2)*(w*w**5)\/w)**18 assuming w is positive.\nAnswer: w**(179627\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*b - 14934 - 47942 = -20603. What is the remainder when 2563 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 7*v + 5. Let w be f(7). Suppose w*q - g - 4254 = 2*g, -6 = -3*g. What is q rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1387 and 33580?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10125 - 1346700 + 64940 = -49*y. What are the prime factors of y?\nAnswer: 5, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -63, -58, -51, -42?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-4)\/508*-1). Let j = -91 - u. What is the highest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:27 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/15 of a hour in minutes?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.050725 * -7.\nAnswer: 0.355075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose -6*k + m*k + 6 = 0. Is 14 + (k - 0)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9222\/7 - 1310. Let t be ((-1446)\/32)\/(6\/4). Let r = -40 - t. Calculate the common denominator of y and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1279, -1193, -891, -265, 793, 2391, 4637?\n\"Answer: 18*p**3 - 40*p - 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 233?\nAnswer: 46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -117.4. Let q = -36 + l. Round q to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 3*h, -4*j + 2 = 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -152, -153, -154?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(2*(-2 + 3)). Let v be 3*(-128)\/(-36) - (-4)\/12. Find the second derivative of 12*m + v*m + 3*m**u - 26*m wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*s = 912*s + 36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 10064*i**2 + 22973125*i + 12076974438.\nAnswer: (i - 5251)**2*(i + 438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {j: 5, y: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2095984)\/616 + (-9)\/(315\/(-20)). Is -3401 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.797343 + -0.21?\nAnswer: -66.007343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(1\/3))**(-5\/17))**(-27))**(-1\/10) assuming t is positive.\nAnswer: t**(-18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 12*w - 13. Let p be l(-11). Let u = 14 + p. What is the highest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49434475 a multiple of 745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -15*m - 2. Let y(l) = 8*l. Calculate c(y(g)).\nAnswer: -120*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -17*i**6\/6 - 2*i**5\/5 + 67*i**3 + i - 359. What is the third derivative of z(k) wrt k?\nAnswer: -1020*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and -0.044.\nAnswer: -1.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 244*r\/7 + 418.\nAnswer: -2*(r - 11)*(r + 133)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 4, w: 7}. What is prob of sequence mw?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {v: 6, l: 4, s: 4, o: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043680850 a multiple of 9670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 2642212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 8:16 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 37125 (base 8) to base 15\nAnswer: 4adc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192112 is divided by 62739.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 590 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1053)*2)**2*2*-6 - (sqrt(1053) + (1 + (sqrt(1053) + 1*sqrt(1053) - sqrt(1053)))**2 - ((sqrt(1053) + sqrt(1053)*-2 - sqrt(1053))*4)**2)) + -4.\nAnswer: -78974 + 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 - 56120*r**2\/3 - 10131938*r - 1358958444.\nAnswer: 2*(r - 28594)*(r + 267)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = -2*z + 5, -2*z + 2 = 2*h. Let t(m) = -1. Let f(o) = -o - 472 + 917 - 440. Give h*f(d) + 3*t(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 9*i + 4 = -z, z - 2*i - 2 = 0. Which is the second biggest value? (a) z (b) 0 (c) -3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -56*l**3 + 20. Let p(v) = -8*v**3 + 3. Suppose -k + 30 = 54*z - 50*z, -54 = -5*z - 4*k. Give z*o(y) - 40*p(y).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(720) + sqrt(720) + sqrt(720) + -1)**2*-1*3.\nAnswer: -20538 + 222*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 380365 and 0.3.\nAnswer: 114109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 3*y + 7*y)*(3*y + 0*y - 2*y) - 4*y**2 + y**2 - y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 0*j - 1\/12*j**4 + 1\/60*j**5 - 2\/3*j**3 - 8*j**2 + 0. Suppose -5*v + 15 = 0, i = -i - 5*v + 21. What is a(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002126781 rounded to five decimal places?\nAnswer: -0.00213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -711512.6 and 4?\nAnswer: 711516.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 47061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -94 - 92 + 350 - 89 - 89 + 3*t. Determine q(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-11\/2)*c*c*c))\/c**12 assuming c is positive.\nAnswer: c**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 0.4 (b) 1\/2 (c) -0.1 (d) -7 (e) 163035\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from pcoccpocococopocpo.\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156091?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -38. Solve 0*p - o*p + 3*f + 1 = 0, 0 = -2*p - f + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (11 + -22) - (-7 + 0 + 15 + -35).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -849 + 846. Suppose 6*s - 5 = s + 5*r, 2*r + 22 = -3*s. Let u be s\/(4\/12*-2). Is u > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/5 + (-4 - 154\/(-35)). Let k(d) = 2*d**l + 0*d**2 - 1134 + 1134. Let j(n) = -21*n**2. What is k(j(v))?\nAnswer: 882*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -367\/1872 + 1\/117. Let u = -1\/16 + v. What is the biggest value in u, 0.1, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3267*r*u**3*x**3 + 2*r*u**3*x + 10*r*u**3 - 2*r + 5*u**3 - 9*u**2 wrt x.\nAnswer: -9801*r*u**3*x**2 + 2*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 53*t**2 - 1233735*t + 851204079.\nAnswer: (t - 1059)**2*(t + 2277)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 833, 709, 497, 197, -191, -667, -1231?\n\"Answer: -44*s**2 + 8*s + 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 2*j**2 - 3*j + 12. Let x be t(-6). Let g be (2\/8)\/(x\/36 + 3). Which is the closest to g? (a) 5 (b) -2 (c) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**7\/147 + z**6\/105 + 3*z**5\/35 + z**4\/21 - 5*z**3\/21 - 3*z**2\/7 + 4*z. What is q in o(q) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*k = -9, k + 5 = 22*a - 29*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2287 + -2301.83. Let r = f - 0.17. Let l = -20 - r. Which is the biggest value? (a) l (b) 1\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 + -0.8594888?\nAnswer: 848.1405112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/5)\/(1\/(-10)). Let k(i) = 13*i**3 - 2*i**2 - 1. Let u be k(-2). Let l = h - u. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of -2 + (7 - (-12694 + 9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -21*h**3 - 2*h**2 + 1. Let q be t(-1). Let p be 10\/(-6) - (-8 - 19\/((-1368)\/(-2712))). Solve 0 = p*d - 48*d - q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -163*n - 9104. What is o(-56)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 o when three letters picked without replacement from {c: 4, a: 2, v: 1, o: 3, d: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlemllmllvlleoo. What is prob of sequence lm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmafhmbkfbffbf. Give prob of sequence hkmm.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17863630 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 14 = -2. Suppose 9*x - 7 = -4*s + 4*x, s - h*x - 6 = 0. Find the second derivative of g**3 + g**s + 3*g - g wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.28272, 5, -195?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -4*h**7\/35 - 2*h**6\/15 + 11*h**5\/90 - h**4\/36 - 12*h**2. Factor c(b).\nAnswer: -2*b*(b + 1)*(6*b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -3 (b) 0.11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255.5811944 - -107879.5816144. Let k = -107589 + g. Let p = 35 - k. Round p to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2254 divided by 173.\nAnswer: 2254\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -268, -515, -844, -1261, -1772?\nAnswer: -2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2428, -4967, -7506, -10045, -12584?\n\"Answer: -2539*p + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**21*b\/((b*b**6*b)\/b))\/(b**(-11\/6)*b*b*b**19) assuming b is positive.\nAnswer: b**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1432665 and 1612.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(3 - 2) - -2. Suppose -5*h + 2332 = -5*w + 4*w, -v*w = -2*h + 919. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845733018?\nAnswer: 2, 67, 251, 54877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f + 39*f = -15. Let g be 1\/(4\/f) - 5116\/16. Let p = g - -808. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3 + (sqrt(2448) - sqrt(2448)*2) - (-2*sqrt(2448) + -1) - -4*(sqrt(2448) + (-3*sqrt(2448) + -3 - sqrt(2448)))))**2.\nAnswer: 3168*sqrt(17) + 296352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.06713 rounded to two dps?\nAnswer: -7.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 166.3, 2, 6.51 in decreasing order.\nAnswer: 166.3, 6.51, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (6 - 2) - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -30*p**3 - p**2 - 2*p. Let n be u(-4). Suppose -662 = -11*f + n. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168488?\nAnswer: 2, 21061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-3 - 5) - (-6 + 6) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21740 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 - (1 + -2 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17794913 and -0.5.\nAnswer: -17794913.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 113?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 0*u + 90 = -5*u + 10*u, -3*u = -3*w - 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 362896675 bigger than 362896674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 0*a + 0*a + (1 + 1 + 3)*(-7*a + 8*a + 21*a) + (-2*a + 5*a - 2*a)*(0 - 1 + 3).\nAnswer: 110*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -26 + -9 + 6 + -138 + 129.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858086.3cm to meters.\nAnswer: 8580.863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 5. Let z be r(-8). Let f = z + -3. Is 8 a factor of f\/(-15) + 118\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4 - 21*r - 10*r**2 + 10*r**2 - r**2. Let z be i(-21). Suppose -2*v - 5*f = v - 111, 12 = -z*f. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a377 - -3?\nAnswer: a37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -20*5*(-18)\/360. Solve a*l - 8 = 2*m + 7, -2*m + 3 = l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573.1006 centuries in years?\nAnswer: 57310.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 397 - 379. Factor -18 + 33*q**3 - 14*q**3 + k*q**2 - 8*q**3 + 2*q - 13*q**3.\nAnswer: -2*(q - 9)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309947098?\nAnswer: 2, 154973549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2411 + -3234?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + -8. Let o(n) = -n**3 - 15*n**2 - 40*n - 9. What is the hundreds digit of o(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 5*q + 59. Let p = 39 + q. Suppose 5*m - 3*n = 6, m + 2*m = 4*n - 3. Sort 0, m, p.\nAnswer: 0, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100000 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -8, 2*w - w - 56*t = -58*t + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 38 (b) 0.3 (c) 10 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16754984471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*x**5 + x**4 - 128*x**3 - 284*x + 55?\nAnswer: -160*x**3 + 12*x**2 - 768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82335 + 143228. Suppose 41795 - 12297 = -14*q. Let m = j - q. What is m rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 6*n**2 - 5*n + 4. Let y be l(2). Suppose -w = -0*k - y*k - 19, 4*k - 3*w + 43 = 0. Is k at most as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 65, 129, 207, 293, 381, 465, 539?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 11*n**2 - n + 11. Let b be i(11). Let d(f) = f**3 - 14*f**2 - 2*f + 38. Let t be d(11). Let c = 349 + t. Sort 13, b, c in decreasing order.\nAnswer: 13, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.048671614 to five dps.\nAnswer: 0.04867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 0.1, 1, -0.1, 0.05, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r**4 + 0*r + 0 - 1\/60*r**5 + 1\/6*r**3 - 1\/30*r**6 + 6*r**2. Let k be d(-1). Solve 10 = k*b + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m**2 + 815*m - 3755. Give x(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(45) + ((-2*sqrt(6))\/sqrt(3))**2 + 5)*2.\nAnswer: 2*sqrt(2)\/3 + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(75) + -2 + -2 + 0)*2.\nAnswer: -4 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3829 and 198014?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*m + 4*p, m + 0*m - 1 = -4*p. Let q = m - -25. Suppose -5*o + l = -483, q*o - 2*l = o + 486. What is the greatest common divisor of o and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8056943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*q + 24 = 128*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2705407*k**3*l**2 + k**3*l + 3929*k**3 + 5*k*l + 2*l wrt l?\nAnswer: 5410814*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 - s**2)*(-647 - 652 - 137*s + 1298).\nAnswer: 137*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 300? (a) -67\/7 (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 1764*l**2 + 3534*l + 14. Calculate g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 210\/2321 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/7*b**3 - 45*b + 58\/7*b**2 = 0. Calculate b.\nAnswer: -63, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o - 11. Let i(b) = 26*b + 56. Suppose 4*v = -4*u + 72, 3*u + 97*v = 93*v + 56. Calculate u*k(w) + 3*i(w).\nAnswer: -2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + ((0 + 0 + sqrt(192))*-2)**2*-5.\nAnswer: -3845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-22) - 1863\/(-99). Suppose f*a = 18*a + 313. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925982429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 272929570 to the nearest 1000000.\nAnswer: 273000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 20*a**3 + a**2 - 23*a + 63. Let w(f) = 7*f**3 - 7*f + 20. Let x(l) = 3*h(l) - 10*w(l). Let r(g) = -g**3 - 1. What is -22*r(z) + 2*x(z)?\nAnswer: 2*z**3 + 6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m\/m**(-4))\/m*m)\/m))**(-7\/10)\/(m**1\/m)**(-1\/78) assuming m is positive.\nAnswer: m**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*q + 12*q + 4*q**3 + 3*q**4 + 3*q**3 - 2*q**3 + 3*q to n*q + w*q**3 + d*q**2 + l*q**4 + k and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1854 + 4 + -8)*7\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13309013 not equal to -13309017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -283*f + 985. Let a(n) = -280*n + 975. Let i(h) = 4*a(h) - 6*w(h). Differentiate i(m) with respect to m.\nAnswer: 578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/20 + 19*t**4\/4 - 39*t**3\/2 + 59*t**2\/2 - 2*t + 5. Suppose y(p) = 0. What is p?\nAnswer: -59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 + 153. Suppose 4*v - 124 = -4*u, -3*v - 3*u + 88 = -u. Suppose v*k - 14*k - 156 = 0. Calculate the remainder when l is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*i**3 + 91*i**3 - 63*i**3 + 18*i**3.\nAnswer: 209*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88473 divided by 3?\nAnswer: 29491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 35, 3, -72, 19, -1.\nAnswer: -72, -5, -1, 3, 4, 19, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65820662 to the nearest integer?\nAnswer: 8113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 2\/3, -2, -5, -51646\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.068 - -0.382. Let g = a - 2.449999637. Round g to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5565 and 0.0626.\nAnswer: 348.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 = 433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 18*y + 40. What is w(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 = -0. List the prime factors of (-1)\/z + (-39)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322833817?\nAnswer: 322833817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a - 3. Let k be t(2). Suppose -20 = -k*x + x. Solve 3*o - o = -z - 7, 4*o = -x*z - 23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154260.\nAnswer: 2, 5, 57713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - 1)*(-230 - 921 + 177)*(0 + 0 + 4*l**2).\nAnswer: 19480*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 258 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705, 1391, 2077?\nAnswer: 2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6305 - 8990163263?\nAnswer: -8990169568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 58204404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + 68)\/(5 + -5 + 1). Let o(w) = 28*w**2 + w - 1. Let p be o(1). Let g = p + n. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 333 + 0*m - 212 - 127. Let g(c) = -4 + 4 + 1. Suppose b = 6*b + 5. Calculate b*z(l) - 2*g(l).\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-1) + 1)\/2. Let a(l) = -l**2 + 2. Let o be a(u). Suppose -o*n + 6*n - 20 = 0. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-792)\/(-81) - (22\/(-18) - -1). Suppose c*n = 31*n - 126. Calculate the remainder when 8 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/9 + 232*w**2\/9 - 476*w\/9 + 80\/3.\nAnswer: 4*(w - 1)**2*(w + 60)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**6\/40 - j**5\/4 - j**4 - 2*j**3 - 3*j**2\/2 + 3. Let f(n) be the second derivative of x(n). Factor f(i).\nAnswer: -3*(i + 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + 2*((sqrt(396)*2)**2 + -5))*-5.\nAnswer: -15814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiivsihs. Give prob of sequence ii.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*j - 69 + 117, -5*t - 2*j - 6 = 0. Find r such that 0 - 1\/2*r**t + 1\/2*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -1\/6*a**3 + 0 + 2*a**2 + 1\/8*a**4 + 0*a. Let n be 0 + 2\/2 + 2. What is r(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-51) - 0\/(-2). Suppose -6*k + 12*k = 78. Let h be (-11)\/(-6) + k\/(-2) + 5. What is the closest to -1\/4 in -0.2, h, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-2))\/(-15 + 13 + 1 + -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -333905 or -333889?\nAnswer: -333905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {g: 3, p: 3, h: 5, o: 1, a: 7}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20020000 (base 3) to base 14.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 - -207. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Suppose 14 = 4*u - t. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5986272798 to 2 decimal places.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, 4 in decreasing order.\nAnswer: 4, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjbfxwf. Give prob of picking 2 j and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3\/25 (b) -0.8 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p + 17. Let o be n(-6). Suppose -184 - 316 = -o*l. Suppose l = 4*q + s - 133, s - 175 = -3*q. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgpppgpkgi. Give prob of sequence kg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from xxxxxxjcxnajayx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1363.241206 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -523 - -532. Suppose 24*k - 25*k - 3 = 0. Sort n, k, 5 in ascending order.\nAnswer: k, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = w. Let z = 4 + w. Suppose 2*s - 33 = -0*s + 3*y, -s - y + 4 = z. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32862825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45983\/20 - -2300. Find the common denominator of q and 1\/2 - ((-4)\/14 + 1).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21380473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6024, -8071, -10118, -12165?\nAnswer: -14212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022566372 rounded to seven dps?\nAnswer: -0.0002257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 2730*k - 333925.\nAnswer: -5*(k - 361)*(k - 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -10, -2\/5, 1\/5, -67.2, 0.3, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217521 or -2310?\nAnswer: -2310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/6 + (-24)\/(-72). Let w(d) = -35*d**3 - 6. Let y(f) = -36*f**3 - 6. Let l(j) = c*y(j) + 5*w(j). Differentiate l(g) with respect to g.\nAnswer: 123*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -7.167085.\nAnswer: -2.866834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 103*d = -16*d + 46965. Is d at most -505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855818009 plus 3?\nAnswer: 3855818012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-1)\/(-3)*3. Let t be 10\/(-20)*(v + 2). Let d = -3 - -3.5. Which is the closest to 2? (a) 3 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3136058, -3136200, -3136342?\n\"Answer: -142*w - 3135916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1306167667 less than 0.047?\nAnswer: 1306167667.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 1) + (-1 - 3 - -4). Suppose n*x - 1395 = 887. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -2\/13 (c) 1\/3 (d) -0.2 (e) 0.5 (f) 64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101110 (base 2) to base 7.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34957 less than 34960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.5 + -3.5. Let g = 25 + j. Let y = 1306 - 9138\/7. Which is the third smallest value? (a) g (b) y (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 4*q**2 + 1. Let y be p(-4). Suppose 3*g = 10 - y. Find the second derivative of -s**5 + g*s**3 + 0*s - 2*s - 3*s**3 wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 4*j - 8*j + 4)*(19*j**2 + 45*j**2 + 63*j**2 - 165*j**2)*(-4*j**2 + 8*j**2 - j**2).\nAnswer: -228*j**5 - 456*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2\/2 + 64353*r - 1380436203\/2 = 0. Calculate r.\nAnswer: 21451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tta when three letters picked without replacement from {a: 3, t: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1104949\/9 bigger than -122773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - h + 93 = 0, -w - 3*w - 5*h = -177. What is the remainder when 151 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4021.03 and 16911548.\nAnswer: 16907526.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 2. Let s be 231801 + 0*3\/u. Suppose 0 = -5*x + 18199 + s. What is x rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -110, -269, -478, -731, -1022?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -9 - -7) + -17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 659447172 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -50297*j**2. Let w(h) = -2*h**2. What is w(u(t))?\nAnswer: -5059576418*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1203 - 290. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - -6. Let a be (j\/(-15))\/((-3)\/195). Calculate the greatest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, w: 1, n: 1, z: 6, l: 1, y: 1}. Give prob of picking 1 l, 2 o, and 1 y.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 9. Suppose -4*y = -7*y + 21. Let q be h(y). Suppose q*s = -8 + 98. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/26)\/(-4*(-8)\/64).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/10 - 4\/(-10))\/(6393\/(-17048)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*j + 25 + 51, -4*j = 2*c + 32. Put -2\/3, 3\/2, c in decreasing order.\nAnswer: 3\/2, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -21*d + 2. What are the prime factors of x(-7)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, -891, -2017, -3605, -5661, -8191, -11201?\nAnswer: -14697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25605537, 51211070, 76816593, 102422100, 128027585, 153633042?\nAnswer: 179238465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 461 + -417. Which is the smallest value? (a) -0.5 (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/2697 and -59\/145.\nAnswer: 13485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44? (a) 2091 (b) 0.4 (c) 175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, -430, -2 in descending order.\nAnswer: -2, -139, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*x - 33030*c - 101*x**2 + 8*x wrt x?\nAnswer: -2*c - 202*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*l + 2*l. What is the first derivative of l + 6*h - 7 + 3 + 0 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 0 + 1 - 2 - 310*r**4 + 309*r**4 - 2*r**3 - 2*r**2 to g*r**4 + z*r**2 + q*r**3 + x*r + j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 69 - 6 - (47 - -6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89380668 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2882 and 46636.\nAnswer: 512996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10023231001 + -1?\nAnswer: -10023231002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (736\/15)\/(4\/(-6)). Let s = 74 + t. Which is greater: -0.07 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*d - 43 = 0, w + d + 35 = 8*d + 7*d for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + u**2 + u. Let h be f(2). Let m(n) = 2*n - 13*n - 4 - n**2 - 6. Let d be m(h). Which is greater: -3\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 34. Let p = -12 + 44. Calculate the greatest common factor of u and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1461*x + 43*x - 334*x - 149*x - 903*x to the form d + b*x and give b.\nAnswer: -2804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129002850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -2*d**2 + 10*d - 6. What is the derivative of l(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:00 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -871 (base 10) in base 13?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 987 + -988. Sort -4\/17, -2, -4, y in decreasing order.\nAnswer: -4\/17, y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7175 < -383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42+-668.7\nAnswer: -626.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n - 3*n)*(-10*n - 7*n + 10*n) - n**2 + 2*n**2 + n**2 + (-4 + 4 + 2)*(-2*n + 2*n + 2*n**2) + 3*n**2 - 2*n**2 - 3*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2328*w**2 - 1. Is y(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t - 4*t**2 + 3*t**2 - 2 + 7*t - t**3 - 15*t as s*t + h*t**2 + n*t**3 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274 + 120. Let x = 123.2 + u. Let j = x - -9.2. What is j rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 14 + 6. Suppose -5*x + 3*c = 5*c - 198, 3*x = 2*c + 122. What is the highest common factor of x and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6100, 6025, 5950, 5875, 5800?\nAnswer: 5725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r + 5. Let c(s) = 4*s - 5. Let y(g) = 4*c(g) + 3*v(g). Let h be (4 - 3 - 4\/12*3) + 5. Give y(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 2*n + 4*n)*(3 - 1 + 0) + (0 + 2 + 1 + 4 - 18 - 16 - 4 - 18 + 7 + (6 - 3 - 2)*(1 - 5 + 2))*(2 - 2 - n) in the form y*n + q and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 14*a**2 + a + 12. Let v be d(-14). Let m = -486 - -482. Sort m, v, -10.\nAnswer: -10, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*v + 25, -3*u - 2*u - v = -37. Let d(h) = -3*h**3 - 6 + 106*h**2 + 119*h**2 - 216*h**2 + 2*h**3 - 2. List the prime factors of d(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5677821.\nAnswer: 3, 761, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336944 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 3*a + 129. Suppose 64 = -5*j + a. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.79413, -1\/3, -9, -1 in increasing order.\nAnswer: -17.79413, -9, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-c**2 - 4*c + 4*c)*(-5 + 16 - 1067*c + 1068*c).\nAnswer: -2*c**3 - 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1) + 430*(-2)\/2. Let c = t + 582. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 8. Let k be s(6). Let f(l) = -l**2 + 9*l - 12. Suppose -18 = -7*p + 31. Let h be f(p). Calculate the highest common factor of k and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**2*t - 3*k**2*y - 6*k*t*y + 298*k*t - 4*k*y + 5*k - 2*t*y - 21 wrt t?\nAnswer: k**2 - 6*k*y + 298*k - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + 211100021202?\nAnswer: 211100022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*((-4)\/(-22))\/(174\/(-52635))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3434068095?\nAnswer: 3, 5, 228937873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -97.\nAnswer: -7\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/48 and 67\/2946?\nAnswer: 23568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {f: 1, z: 3, e: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 31. What is the common denominator of (-14)\/21 - (-89)\/o and (-10)\/7 + 3\/6?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k**2 + k**3 - 6*k - 7 - 2*k**3 + 0*k**3. Let y be t(7). Differentiate y*h - 3*h - 2 + h with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3281.437 to the nearest ten.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t**(-5))\/(t*t**(2\/43)*t*(t*t**(-8\/7))\/t) assuming t is positive.\nAnswer: t**(-874\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -1491*d + 1475*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + v**4 + (-16*v**2 - 5*v**2 + 5*v**2)*(-2*v**2 - 2*v**2 + 2*v**2) + 19*v**4 - 45*v**4 - 50*v**4.\nAnswer: -43*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/6)\/(-5))\/((-27)\/162).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*y - 16, 2*r - 5*y + 4 = 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 218*((-387)\/(-18) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 1156 = -1310. Solve 4 = -p + 5*s + 10, 3*p + f = -s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229763*q**3 - 188382*q**2?\nAnswer: 1378578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 285581 - -10787\nAnswer: 296368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*p - 6 = -2*p, 0 = -5*i + 5*p - 15. Let z = 0.95 + 0.05. Which is the nearest to 2? (a) 0.2 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*l - 1 + 6, 7*l - 116 = -4*j - 114 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -2)*(1 + -5). Suppose -6*t - 136 = -t + 4*b, -g = 4*b. Let x = 64 + t. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1356 divide 119851096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-26) + 1840\/(-1040). Put -5, -4, p, -1, 23 in decreasing order.\nAnswer: 23, -1, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 5*f + 8. Let j be 10\/8*(9 - -3). Suppose 14*x = 9*x + j. Suppose 5*d + 1 = 3*q + 8, 4*q - x*d - 9 = 0. Calculate u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.4, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + 4 + -5 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9391 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40349 + 518?\nAnswer: -39831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.01. Let c = 3.09 + -3.1. Let d = c + f. What is the nearest to -0.2 in d, 0.3, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 + 48*l**2 + 40*l - 178. Is z(53) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 9*z - 7. Let o be a(-10). Suppose -o*f + 4 = 1. Let g(b) = -f + 1 + b + 0. Let n(p) = 4*p**2. What is g(n(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 34 + 46 = -j, -30*j - 20*o - 598 = -21*o for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2\/9 + 334*q\/9 + 1304\/9 = 0.\nAnswer: -163, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.025 + 3.925. Which is the nearest to -1? (a) -1 (b) 1\/10 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 13*s**2 + 86*s + 180. Calculate u(-8).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 - 83. Let h(w) = d - 53 - w**3 + w**2 + w - 44. Let f be (-72)\/(-42) + (-2)\/(-7). Calculate h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 7:51 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -3*c + 2*s + 8, c - s = 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1033, 1092, 1165, 1258, 1377, 1528, 1717, 1950?\n\"Answer: i**3 + i**2 + 49*i + 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64065 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 v, and 1 i when three letters picked without replacement from {i: 1, d: 4, n: 4, v: 1, e: 1, k: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2827833410 and 3.67.\nAnswer: 2827833413.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 8*o - 5*o)*(51*o - 437*o - 147*o - 1) as s + w*o**2 + z*o and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r - 10. Let n(y) = -1677*y + 841*y + 838*y. What is n(p(h))?\nAnswer: 22*h - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11011 - -11327. Which is smaller: k or 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 276987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*-36*6\/(-120)*-5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9+-25038\nAnswer: -25047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6*n**2 + 4*n + 10. Let g be p(6). What is the highest common factor of 51 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-25) - 154\/35\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474187?\nAnswer: 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/(-189)*7*279\/(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z + 0*z**3 + 4 - 4*z - 5*z**2 + 2*z**3. What is the units digit of d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/34 in 1\/432, 1\/3, -0.5, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2385 and 1183572.\nAnswer: 313646580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 245 + 961. What is the remainder when j is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-701)\/576 - 2*(-2)\/4. Let u = o + -1\/192. What is the smallest value in u, -4\/5, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 - 2*q - 4. Suppose 133*b - 134*b + 37 = 5*p, -5*b + 104 = -2*p. Calculate the remainder when b is divided by c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2938 (base 13) in base 16?\nAnswer: -174a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 9*g - 7. Let r be z(-3). Is 18 a factor of (-2 - -943) + 44\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0 - 6, y + 2*m + 4 = 0. Suppose -5*u + 5*w + 10 = 0, -u + 19*w - 20*w = -4. What is the closest to -0.1 in y, 5, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*l - 5789 = -284*l. Let k = l + 1246. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534149 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -469*c**6\/15 - 3643*c**4\/24 + 8*c**2 + 221. Find the second derivative of b(l) wrt l.\nAnswer: -22512*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -166, -371, -658, -1027?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6930*m*u**5 - m*u + 20*m + 46*u + 1 wrt u.\nAnswer: -138600*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 4*q - 12. What is the tens digit of c(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 5*p + 3*o = -8, -p + 2*o - 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51837, 50333, 48829, 47325?\nAnswer: 45821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 16*a**2 - 199*a + 3183. Let l be i(16). Let z = 0 + -4. Sort -6, z, l, -10.\nAnswer: -10, -6, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.336908501 minus 0.2?\nAnswer: 1.136908501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**3 + 14635*r**2 + 713120*r + 2618000 = 0. Calculate r.\nAnswer: -44, -4, 2975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1552 - 1558. Which is smaller: c or 1.87?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:23 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1131*a**5 + a**3 - a**2 + 2*a + 2 wrt a?\nAnswer: 22620*a**3 + 6*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 1\/3, -0.4, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211*f**2 + 205 wrt f.\nAnswer: -422*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179605884.\nAnswer: 2, 3, 17, 880421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 532396225 divided by -106479245?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37029625.\nAnswer: 5, 296237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358535 times -2?\nAnswer: -2717070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 159, 309, 445, 561, 651?\n\"Answer: -b**3 - b**2 + 160*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 13 + -5 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 + -56. Let a = z + -68. Calculate the remainder when (1 - -1 - 3) + a + 12 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**8\/1008 + x**7\/210 + x**6\/360 - x**5\/60 - x**4\/36 + 19*x**2 - 1. Factor m(p).\nAnswer: p*(p - 1)*(p + 1)**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2103 - 2343 = 91*l + 303 + 1803 for l.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.641 - -0.564. Which is bigger: 6 or d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*a + 8 + 14 = 0, 2*a = -5*z + 18. Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 147. Let k be q(0). Let l(j) = -44*j + 857. Let o be l(19). What is the greatest common factor of k and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210011100 + -20?\nAnswer: 210011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (3 + 5) - (1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148538262*f**3 + 5*f**2 + 13633*f + 727?\nAnswer: -891229572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t - 5*a - 93, 0 = -3*t + 3*a - 192. Let g = -60 - t. Put -4\/3, -2, -6, g in increasing order.\nAnswer: -6, -2, -4\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 + -1 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3034*s**2 + 3*s - 13720*s**2 - 1044*s**2 - 3*s.\nAnswer: -17798*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-82)\/((-3)\/(-1) + -1). Let x = u + 55. Suppose x = 2*o - 10. Calculate the highest common factor of o and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -2a17a?\nAnswer: 2a17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wixwiqe. What is prob of sequence wxqe?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -7*s**5\/10 + s**2\/2 - 7*s. What is the first derivative of m(q) wrt q?\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*h - 495 - 603. Let q(i) = -6*i - 42. What is the least common multiple of q(-11) and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763*j - 32 = 731*j. Which is smaller: j or 29\/38?\nAnswer: 29\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*w - 2 + 2 - 4*w + w + w + (-2*w + 2 - 2)*(5 + 0 - 4) - 7*w + 9*w - 14*w)*(0 + 2 + 1)*(-3*w**2 - w**2 + 0*w**2).\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -191?\nAnswer: 19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 10:58 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 67b066 + -3?\nAnswer: 67b063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9146380063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.02 take away 0.38?\nAnswer: -278.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 8546, -1 in descending order.\nAnswer: 8546, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 - 24*u - 52. Let o(c) = c**2 + 8*c + 17. Let x(h) = -7*o(h) - 2*p(h). What is the tens digit of x(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 23.22199mm?\nAnswer: 23221990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4. Let s(y) = -3. Let j(k) = -4*o(k) - 5*s(k). Let z(x) = -2*x + 6. Suppose -2*d + 2*r - 15 = d, -r - 15 = 3*d. What is d*j(b) - z(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11969315 divided by -185\nAnswer: -64699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 2*c**2 + c - c**2 + 3*c - 3*c + (2 - 1 + 0)*(3*c - 3*c - c**2) - 3*c**2 - c**2 + 9*c**2 - 26*c**2 - 20*c**2 - 13*c**2.\nAnswer: -58*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14122, 56466, 127092, 226048, 353382, 509142, 693376, 906132?\nAnswer: 1147458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -131 and -104512\/799 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**8\/2100 - d**7\/175 + 2*d**6\/75 - 4*d**5\/75 + 29*d**3\/6 + 9*d**2. Let c(y) be the first derivative of v(y). Factor c(x).\nAnswer: 4*x*(x - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55951, 111868, 167781, 223690, 279595?\nAnswer: 335496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574 + 207 + 4*v + 190 + 198.\nAnswer: 4*v + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 69556*o + 140. Calculate n(0).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 2*u**4\/3 - 8*u**3\/3 + 18*u**2. Find the first derivative of t(f) wrt f.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:10 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2259\/5699 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2613 is divided by 535?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -8 + 28. Find the second derivative of 12*g**v + 315*g**3 + 5*g - 315*g**3 wrt g.\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/9 (b) -5\/98 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoq when three letters picked without replacement from johhoqqqoxuu?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 124800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 76*q**2 - 841*q + 54. Let i be r(11). What is the biggest value in -0.5, 24.4, i?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 15. Let g be c(-5). What is the highest common divisor of 40 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12166633.903 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-108)\/9 + 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:46 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 2*z**2 + 3*z - 6. Let k(f) = -5*f**3 + 6*f**2 + 9*f - 17. Let r(a) = -8*b(a) + 3*k(a). Give r(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3409435 centuries?\nAnswer: 409.1322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -256 - -277. Calculate the highest common divisor of 35 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84909?\nAnswer: 3, 11, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1 + 1 + (4 - 0). Let w = 4 + b. Calculate the greatest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2061.\nAnswer: 5\/2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214 - 214. Which is the closest to l? (a) 4\/7 (b) 5\/6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 15*d**2 - 37*d + 56. Let z(g) = g**3 - 3*g**2 + 2*g - 1. Let v be z(2). What is the lowest common multiple of m(17) and v*-1*11*1?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -8*z, -3*z + 59 = 4*d - 0*z. Suppose -4*a = 3*p - 0*a - 52, p = 2*a + 34. Suppose p = i + d. Calculate the remainder when 77 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 286*d + 4128 = 0 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 10*v**2 + 11*v + 1. Let k be p(-11). Calculate the greatest common factor of 2 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 940 - 940.00000389. What is c rounded to seven dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244681 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 844374 and 422187?\nAnswer: 844374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 233513?\nAnswer: -64\/233513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20122010222102011 - -12?\nAnswer: -20122010222101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 - 7*l + 259. Let i(y) = -y**2 + y - 5. Calculate -a(h) - 4*i(h).\nAnswer: -h**2 + 3*h - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-56)*(-1155)\/(-30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -24, 11\/4, -0.1, -0.12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 2*j + 3*j - 2*j + 2 - 2 + (4*j - 2*j - j)*(1 - 3 + 0) + 71*j + 9 + 98*j + 334*j as x*j + n and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4 from -359.\nAnswer: -357.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 832, 6656, 22226, 52414, 102092, 176132, 279406, 416786?\n\"Answer: 812*f**3 + f**2 + 137*f - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*a - d - 10, -a + 4*d = -8. Let k(w) be the second derivative of 5\/6*w**3 - 3\/2*w**2 + 1\/6*w**a + 28*w + 0. What is l in k(l) = 0?\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeuuueeee. Give prob of picking 2 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 371 (base 12) to base 6\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 + 151. Let l = -1 - -52. Suppose 3*b = 5*k + l, -b = 3*b - k - m. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250994584.\nAnswer: 2, 23, 1364101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 p when four letters picked without replacement from {e: 2, m: 4, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -1974 (b) -0.024 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 4*s + 5. Let m be g(-4). Suppose -m*z - 4*f + 2 + 0 = 0, -3*f = 3*z. Factor -4*q**2 + 2*q**2 - z + 4 - 4 - 4*q.\nAnswer: -2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2. Let q be ((-1)\/(4\/8))\/(-1). Let s(j) be the first derivative of -3\/2*j**2 + 0*j - q. What is s(w(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/6 + -97\/6. Calculate the common denominator of (3 - -31)*(-4)\/6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.3, -5, -51, 2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110511.\nAnswer: 3, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624\/70*(-5)\/(-2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) - -5*sqrt(15)\/sqrt(3)) + -1.\nAnswer: -1 + sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-169809)\/6532 + 26)\/(9\/36)?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30044866 divided by -15022433?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 6*o + 5. Let t be c(0). Suppose -6 = t*r - 41. What is the greatest common factor of 882 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 174695 or 2445717\/14?\nAnswer: 174695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5593240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 271, -6, 14 in ascending order.\nAnswer: -6, -5, 14, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-2.48808451\nAnswer: -1.244042255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -c639a (base 13) in base 10?\nAnswer: -356548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2 + (-532)\/(-95) + 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 19*o = 3*q - 229, 5*o = 4*q - 303. Solve f + 74 = q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1 - 11*v - 1. Let n(d) be the second derivative of d**5\/30 - 27*d**2\/2 - 2*d + 11. Let k(a) be the first derivative of n(a). Give s(k(u)).\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18822?\nAnswer: 2, 3, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -18. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:36 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -4c?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2531*r**2*v + 135232*r**2 + 5*r*v**2 - v**2 wrt v.\nAnswer: -2531*r**2 + 10*r*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27003 (b) -90\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4393460.\nAnswer: 2, 5, 23, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 819950*m*y**3 - 3*m*y + 2*y**3 + 30711*y**2 + 8*y - 1 wrt m?\nAnswer: 819950*y**3 - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 20. Suppose -5*l + 1 = d. Suppose -8*i + 6 = -11*i. Sort 0, i, l in descending order.\nAnswer: 0, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2194973721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 942, 2107, 3734, 5817, 8350?\nAnswer: 11327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59077.2 + -59077. Let a = 0 + -0.5. What is the smallest value in -2\/7, a, s, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 122*z**2 + 1315*z + 238. Determine p(-11).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 2. Let z be i(4). Let a = z + -4. Let m(f) = -f**2 - f - 5. Let v(p) = -2. Let s(x) = a*m(x) + 5*v(x). Suppose s(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**2 + 0*r**3 + 0 - 3\/20*r**5 - 22*r + 0*r**4. Let g(d) = -22*d**2. Calculate 5*g(f) - 12*o(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 61. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 5*k - 9 = -2*h, 2*k + 5*h = 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 15\/218?\nAnswer: 15\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 - 4\/3*a**2 - 3*a.\nAnswer: -(a + 2)*(4*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0733 smaller than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1388102044 divided by 347025511?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g**2 + 7*g + 3. Let u(x) = x. Determine -s(a) + u(a).\nAnswer: a**3 - a**2 - 6*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 60.9. Let u = 4 + -5. What is the nearest to u in -1\/4, x, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -68*n**3 + n**2 - 6*n + 5. Let a be x(5). Round a to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*b - 3 + 8, -1 = 3*b + 2*x. Suppose 106 = v + 2*h, -v + 106 = -h - b. Suppose 4*r = 284 + v. What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9864145, -36.\nAnswer: -9864145, -36, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*6*(-2)\/60.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*-1*sqrt(21))\/(sqrt(1008)*1 + sqrt(1008)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5487 (b) 4 (c) 1 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*y**2 + 1)*(0*y + 0*y + y) + 4*y**2 + y**3 + 3 - 4*y**2 to the form i + r*y**3 + a*y**2 + m*y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-20) - (-51)\/4. List the prime factors of g - (0 + 1 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 846 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 + o**2 - 2)*(-52*o**2 - 5 + 5).\nAnswer: 52*o**4 + 104*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/1800*(-4 - -1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2188 + 3476?\nAnswer: 5675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 102*u - 97*u + 28, z - u - 52 = 22*u - 0*u for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-70)*((-10)\/(-4) + -3). Which is the third biggest value? (a) -5 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t - 2. Let d be 38\/(-14) - 10\/35. Let g be q(d). Suppose -2*y = -6*y + g. Let j(p) = -p - 1. Calculate j(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 3*a**3 + 2*a**3 + (3*a - 3*a - 3*a)*(2*a**2 - 4*a**2 + 4*a**2) + 3*a**3 + 10*a**3 - 54*a**3 in the form g*a**3 + v + c*a + l*a**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + 0*l)*(-2*l - 3*l + 7*l)*(4 - 2*l + 1 - 3)*((-2 - 2 + 5)*(2 - 2 - 1) + 3 - 2 + 3 - 26 - 37 + 15)*(0*l - 4*l + 5*l).\nAnswer: -360*l**4 + 360*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38972892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*t + 8*t + 792. Let v be (t\/(-15) + 6)\/((-6)\/15). Sort 3, v, -5.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 564*c + 39762.\nAnswer: 2*(c + 141)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 - (-8480285)\/(-67203) - 4\/54.\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*o**2\/8 - 291*o\/2 - 39\/2 = 0. Calculate o.\nAnswer: -2\/15, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/12)\/((-9)\/168). Suppose 2*o - t + 38 = 0. Factor 6*d**2 - o*d**2 - d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 505.9928 hours?\nAnswer: 1821574080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) + -10 + 1089\/110?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(108)\/(sqrt(12)*1)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 2*y = -22*g + 62, 38 = 2*g + 2*y. What is the highest common divisor of 860 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4200, -8408, -12616?\nAnswer: -16824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*w = -18*w + 266. Let v(b) = -b**3 + b**2 - 2*b + 2. Give v(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - ((-13 - -27) + 25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6855518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.2 and 0.1.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 3*z**2 + z + 4. Suppose 5*d - 4*d = 0. Suppose p = -3*n + 72, 0 = 5*n - p - d*p - 128. What is the remainder when n is divided by c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 10315*a**2 + 93170*a - 145040.\nAnswer: -5*(a - 7)*(a - 2)*(a + 2072)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7*p + 2991 = -2*p, 5987 = 4*w + 5*p. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 7*j + 656. Let w(v) = 98*v + 253. Let q be w(-5). Let l = j - q. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 + 2*f**3 + f**2 - 69 + 29*f - 7*f + 9*f to z + u*f**2 + s*f**3 + c*f and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 237821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u + 2*c - 7 = 0, -4*u + 40 = -4*c. Suppose -5*j - 927 = -14*j. What is the smallest common multiple of u and j?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 27*u - 162. Let c be b(-9). Solve -2*x = 2*a, c = -4*x - a - a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427426 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:44 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*(-6)\/((-24)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52824 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 63 - (-12 + 0 - (58 - 109 - -55))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.525589, -1\/2, 7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 64*y - 32*y = 30*y - 8, 20*l = -4*y - 64 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 8*c**2 - 5*c - 10. Let t(d) = -d**3 + 10*d**2 - 10*d + 16. Let v be t(9). Let l be o(v). Let y be ((-6)\/l)\/((-9)\/(-96)). Is -16 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*y - 14 = 0, 37*y - 4 = 36*y. Let x = -1 - -3. Which is the third smallest value? (a) j (b) -0.5 (c) x (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:43 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 5 (b) -1\/6 (c) -30 (d) -2518 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 670 + 719*o**2 + 667 + 461*o**2 - 1336 to d*o + v*o**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 78*f - 3069. Let r be j(39). What is the second biggest value in 15\/2, 0.09, r?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 5*u**2 - 6*u + 6. Let p be f(6). Calculate the common denominator of (-4746)\/252 - (4 - -1) and (-9)\/p*38\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/485 + 88267\/23668)*(-28)\/(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2959 divided by 11.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + 0)*14\/(-8). Let k(l) = -l**3 - 5*l**2 + 13*l + 10. Let g be k(f). What is the greatest common factor of 187 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 5*z + 922. Let p be v(0). Let a = p - -128. Does 25 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*n**3 + 10*n**5 + 28*n**3 + 6*n**2 + 92*n**3 - 834*n + 76*n**3 - 191*n**3 - n**4 wrt n?\nAnswer: 600*n**2 - 24*n + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y - 3. Let o be n(2). Suppose 0 = 6*q - o*q. Let k be (-1)\/3*-3 - -2. Solve -d + k = -q*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhchiihi. What is prob of picking 1 c and 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-3 + 0) - (-7 - -8). Solve -2*y + 0*y = 5*c - 10, 0 = b*y - c + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-4)*o**(1\/7)*(o**(-1))**41*(o**(-2\/13)*o\/o**1)**(-29) assuming o is positive.\nAnswer: o**(-2857\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 241449.502 + -937517.\nAnswer: -696067.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 851962*c + 181459812361.\nAnswer: (c - 425981)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Solve -z = -4 + q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*p + 27 + 22 = 72, 5*a - 3*p = -47 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {j: 15, w: 4}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = -0. Is (16 - 4 - g) + 2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 14*r**2 + r + 8. Let l be a(-14). Sort 4, l, -2 in descending order.\nAnswer: 4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -28.7865281.\nAnswer: -28.4865281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 27 = 3*m, h - 3*m = 8 + 11. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/1)\/1 + 0. Suppose c = -3*c + 64. Let y = 15 - c. Sort v, y, 1.\nAnswer: y, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 17*d**2 + 2876*d - 8448.\nAnswer: -(d - 44)*(d - 3)*(d + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:37 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.01.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 3, 5, -0.054?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -1649?\nAnswer: -1649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 5*p + 7. Let q be ((-4)\/(-6))\/((-4)\/(-24)). Let j be (-10)\/(-15)*258\/q. Suppose 3*o - 5*v + j = 0, 3*o - 4*v = -o - 44. What is y(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11 - 7 - 6 - 14*p. Suppose 5*z - 5 = -25. Let j be o(z). What is the greatest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y - 4. Determine a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 10. Let u be k(-8). Suppose 0 = 2*w + u, 31 = 3*t - 8*t - 2*w. Let i be 4\/(-10) - 32\/t. Solve -v - 2*v - i = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*q + 1112, -5*q + 5*t = -1192 + 72. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + (-465)\/(-9). Suppose 0 = -5*x + p + 170, -2*p = 5*x - w - 103. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 608, 1\/3, 2, -4 in descending order.\nAnswer: 608, 2, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-52)\/(-42) + (-6025)\/(-175) + -35. Let u = 0.6 - 0.53. What is the smallest value in u, -0.2, 1, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.904463 milligrams to micrograms.\nAnswer: 1904.463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 72*a - 940. Calculate g(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m - 12. Let s be x(13). Let u = s + 88. Which is the fourth smallest value? (a) -4 (b) -21 (c) u (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.48, 5, 2, -1\/4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j**4 + 1659*j**3 + 10*j**2 - 548*j**3 + 2*j - 555*j**3 - 553*j**3 to the form f*j**4 + r*j + v + b*j**2 + l*j**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 + 5*m + 3. Let t(v) = -660*v**2 + 6 + 656*v**2 - 4 + 5*v + 2. Determine 6*g(k) - 5*t(k).\nAnswer: 2*k**2 + 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 2*q + 8*q. Calculate the greatest common divisor of q and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24922 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6871 is divided by 245?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*f = -25, 0*j - 3*j + 3*f - 12 = 0. Suppose -d + 5 = j. Let z be (6\/d)\/(15\/20). Sort z, 0, 5 in descending order.\nAnswer: 5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 60. Let x(y) = y**3 - 6*y**2 + 5*y - 1. Let c be x(5). Calculate the common denominator of (c + 0)\/(k\/106) and 89\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**2 + 11*t + 8. Let x(z) = 15*z**2 + 23*z + 17. Suppose -2*j + 2*v = 6, 102*j + 4*v = 103*j + 30. Calculate j*x(s) - 13*p(s).\nAnswer: -s**2 - 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10620871 is divided by 1637.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - (46 - 81)) + 0 + -34?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -k - k - 26, -5418*k + 5417*k - 43 = 17*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1543159, 1543160, 1543161, 1543162, 1543163, 1543164?\n\"Answer: h + 1543158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140284.\nAnswer: 2, 17, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 18*d - 71. Give k(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41 and -183591?\nAnswer: -7527231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-90))\/((-34157)\/102471)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 2. Let f be m(-2). Let r = -17 - -3. Let p = f - r. Solve -h - 1 = u - 5*u, 3*h - p = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 + 46*f**3 + 14*f**2 - 14*f**2.\nAnswer: 53*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 284632*l - 284631*l + 569301*l.\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -16 - 2\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/411056 and 37\/32.\nAnswer: 822112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.4, -0.08, 5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 2, -38, -104, -202?\n\"Answer: -t**3 - 4*t**2 - t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 57 = 3*g, 0 = g - 6*k + 2*k + 3*k - 17 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j - 0, 4*j = 3*i - 8. Suppose h = -i*h + 815. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.72 (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 2*r**3 + 5*r**2 - 19*r - 7. Is w(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.82*-2062.\nAnswer: 1690.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38\/(-57)*-36*(-1 - -232)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -78*c + 2547. Calculate o(24).\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6 = 5*u, 0 = -0*u + u + n + 3. Is 5 - 4\/u*-8069*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*t + 4 + 2)*(-1 - 31*t + 22*t + 2*t**2 + 22*t).\nAnswer: 4*t**3 + 44*t**2 + 115*t - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222890 + 46920 = -3775*q + 31655 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/9))\/c**(-4))**(12\/11))**(-24) assuming c is positive.\nAnswer: c**(-1472\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 335951 take away -0.55?\nAnswer: 335951.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -67022 >= -67020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 38, -3, 5 in decreasing order.\nAnswer: 38, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/232 and -1\/261.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-1\/20)*y)\/(y*(y\/(y\/y**21)*y)\/y)*y**14\/(y*y**(-16\/7)) assuming y is positive.\nAnswer: y**(-513\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-8)*92\/575.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (588\/945)\/(-7*16\/280).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/8 + 80617*l\/4 = 0.\nAnswer: -161234, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17538319, -17538317, -17538313, -17538307?\n\"Answer: h**2 - h - 17538319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -407179374 equal to -407179375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2911, -3678, -5763, -9826, -16527?\nAnswer: -26526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 4847*d**2\/4 + 1211*d\/2 - 2423\/4.\nAnswer: (d + 1)*(d + 2423)*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*y**4 + 3*y**2 - 54*y**4 - 50*y**4 - y**2 + 3 as v*y**2 + x*y**4 + l*y**3 + f*y + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(253\/92*(-8)\/2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -4*v**7\/105 + 49*v**6\/60 - 2*v**5\/5 - 358*v**2. Find r such that o(r) = 0.\nAnswer: 0, 1\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1900)\/76 - (-9 + -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 2*o**3 + 5*o + 3*o**2 + 2 + 0*o**2 as a + c*o**3 + h*o**2 + i*o and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*t + 33*t + 10*t**3)*(3 + 0 - 1)*(4*t + 0*t - 3*t) - t**4 + 3*t**4 + 0*t**4 in the form f*t**3 + z*t**2 + j*t**4 + g + v*t and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 129413 - 0?\nAnswer: 129413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29694169879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826809180?\nAnswer: 2, 3, 5, 199, 69247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58136 is divided by 1964.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102751\/5 - -20550. Which is the second biggest value? (a) -0.1 (b) -0.014 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -17, 88, -36, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22075 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-2)\/2 - 1. Suppose r = -3*g - 5*w + 29930, w + 3924 = g - 6058. Let l = 6380 - g. What is l rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-195)*(-20)\/8. Suppose -m + 4*m - 3*q + 36 = 0, -2*m - 14 = 3*q. Which is greater: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6 - 0. Let v = 28 - 12. Suppose 2*w + 8*q = 3*q + 20, 4*w = 4*q - v. Solve s + 2 - j = w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134*v**2 + 40*v**3 + 134*v**2 + 33 with respect to v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q**2 + 8*q - 75. What are the prime factors of a(-18)?\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034955 to six dps.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/60301817 or 0?\nAnswer: -1\/60301817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -330 - 310. What is the common denominator of -127\/120 and ((-72)\/o)\/(3\/108)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060 is divided by 208?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*n + 2*n**2 - 88*n - 3 + 415*n.\nAnswer: 2*n**2 + 877*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 - 2*k + 3*k)*(2*k**2 + 5*k**2 - 3*k**2 + 0 - k**2 + 0 + (-82 - 45*k + 82)*(-3*k - k + 2*k)) to p*k**2 + u*k + j + i*k**3 and give i.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 524447 (base 8) to base 11\nAnswer: 10a013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4)*1) - (4 + sqrt(21)\/sqrt(3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**6\/60 + 173*b**5\/30 - 41*b**4\/8 + b**3 - 8664*b**2. What is the second derivative of q(r) wrt r?\nAnswer: -12*r + 692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + d**2 - d - 9. Let c be z(0). Is 19 a factor of 114\/8*(-24)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9130994, -18261989, -27392984, -36523979, -45654974?\nAnswer: -54785969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9719 is divided by 532?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/120 + 11*w**5\/60 - w**4\/24 + 9*w**3\/2 + 15*w**2. List the prime factors of b(8).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39, 3, 5, -613, 8?\nAnswer: -613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13106 - -64364?\nAnswer: 51255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/49*644\/276?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.13 - 2.76. Let d = s + 1.73. Let j = 1 - -1. Is j >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -631 (b) -0.3 (c) -1768\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by 24.\nAnswer: -49\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(-5*d**5 + 2*d**5 + 4*d**5) + (2 + d**2 - 2)*(0 - d**3 + 0) - d**4 + d**4 - 3*d**5.\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 10*b + 12. Suppose -b = 9*p - 13*p. Determine t, given that -2*t**p - 20*t + t**3 + 21*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-275)\/(-125)*(-7 + 2). Does d = -68\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2611 divide 199495479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 641 = 2*i - 4*i, 5*c - 1047 = 2*i. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = -2*o. Suppose -v = 2*y - o, 5*v - 19 = -5*y + 1. Suppose -3*c - 72 = -v*b, -c + 37 = b + 3*c. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = -4. Let n be ((-12)\/3)\/2 - -4. Suppose -2 = n*u + 3*o + y, -u = o. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41+368\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 26*y**2 - 2*y + 138. Let n be q(0). Calculate the highest common divisor of 2001 and n.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134140 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 - (0\/(-2) - 0). Let y = 13 - h. Let p be y\/(-10)*5\/2. Solve x + 0 = p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 60\/7 and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 <= 751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 803980364 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -22453*u + 43914. Determine l(2).\nAnswer: -992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.1 + -15. Which is the nearest to 2? (a) -1\/4 (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f - 6?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384*u - 1279*u = -1575 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/10 + (-3)\/(-2). Let u be (4 + -5 + 2)*p. Suppose -q = -x - 50, -4*q + 3*x + 46 = -149. Solve 0 = 5*b + 4*z + q, 32 = -3*b - 4*z - u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1605, 0, -15, 1, 6 in increasing order.\nAnswer: -15, -1, 0, 1, 6, 1605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n + 26. Let z be l(11). What is the greatest common factor of z and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72a0 (base 11) in base 14?\nAnswer: -3749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 19\/13779?\nAnswer: 19\/13779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6555.\nAnswer: 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -25. Let s(g) = 7*g - 1. Calculate the least common multiple of s(1) and (3 - u)\/(1 + 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a9a43 (base 11) to base 7.\nAnswer: 5315023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2440*x + 2431*x + 7.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.066886mm to meters.\nAnswer: 0.000066886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 66?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k = -41*k + 16. Suppose l - v - 14 = 0, 2*l + 5*v = k + 17. What is the remainder when 74 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millimeter in micrometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*v + 3*y + 22, 0 = v - 3*y + 11. Find the second derivative of 19*m**4 - 12*m**v - m - 15*m + 22*m**4 wrt m.\nAnswer: 348*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - z**3 + 54252 + 0*z**3 - 54312 + 3*z**4 in the form t*z**4 + f*z + u*z**3 + w + l*z**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111210 + -20?\nAnswer: 1111130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165100 and 627380.\nAnswer: 3136900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4063 - 57?\nAnswer: -410a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/(6\/24). Let k be -1 + (-2)\/y + 4. Suppose 5*l = n + 204, 188 = 5*l + n + k*n. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**4\/5 - 3228*r**3\/5 - 40904*r**2\/5 + 305328*r\/5 + 343008\/5 = 0.\nAnswer: -794, -18, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 453 (b) 0 (c) 2\/3 (d) 5 (e) 3 (f) 25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-8) + (-7176)\/920\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 13*g**2 + 0*g - 2*g.\nAnswer: -13*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3380.602 minutes?\nAnswer: 202836120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*n = -327 - 690. Let m(d) be the second derivative of 0 + 0*d**2 + 1\/2*d**4 + 16\/3*d**n - 20*d. What is the second derivative of m(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)\/((v\/(v**1*v))\/v))**(-36)*(v\/(v**(1\/2)\/v))**(26\/3)\/((v\/((v*v*v**(2\/7))\/v))\/v*v)**(15\/2) assuming v is positive.\nAnswer: v**(-587\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -259*z**2 + 5*z - 1. Let k be y(-3). Let b = -529 - k. What is the derivative of 1818*w**3 + 44 + 11*w**4 - b*w**3 wrt w?\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38855 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, j: 1, h: 2, w: 6}. What is prob of picking 1 z, 1 j, and 1 w?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 122*s + 752. What is w(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-3)*l)))\/l*l**(-2\/5) assuming l is positive.\nAnswer: l**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98780\/13 or 7597?\nAnswer: 98780\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31419?\nAnswer: 3, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 493174100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 s when four letters picked without replacement from {s: 2, l: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*p + 0 + 3 = 0, 3*u - 29 = 2*p. Suppose -u*i + 9*i + 336 = 0. What is the remainder when i is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o. Let x(d) = -13*d - 24. Let n(h) = -897*h - 1664. Let r(y) = -3*n(y) + 208*x(y). Determine -5*b(z) + 3*r(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.1 minus 4032962?\nAnswer: -4032905.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Let j(f) = -76*f**2 + 3*f - 1. Let p(i) = -i**2 + i - 1. Let d(l) = -j(l) + p(l). Give d(x(n)).\nAnswer: 300*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7218, 3\/5, 0.3.\nAnswer: -2, 0.3, 3\/5, 7218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-3)*(-80)\/80.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times 185\nAnswer: -48.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 6 = -13*n. Suppose -n*c + 6 = -2*u + 4*u, 5*c = -u + 3. Suppose -3*m + 7 = -2. Solve m*v + c = -12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -511 - -403. Is 53 a factor of (-5)\/(-25)*-5 + (-1 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*d - 715 + 163*d - 491*d + 162*d to f*d + l and give l.\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-63))\/(507\/1183).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**2 - 39*g + 3. Let v be f(-10). Let t = 309 + v. Factor -4\/3*u**t - u**3 + 4\/3*u + 1\/3*u**5 + 0 + 2\/3*u**4.\nAnswer: u*(u - 1)**2*(u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 3*g**2 + g - 2. Let q be o(-4). Suppose -2*c - 25 = -5*b + 1, 0 = 5*c - q. Let h(d) = d**3 - 5*d**2 + 5*d + 5. Is h(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89002796.421 - -3.\nAnswer: -89002793.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3840, -3835, -3820, -3789, -3736?\n\"Answer: l**3 - l**2 + l - 3841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 484298838, 968597678, 1452896518?\n\"Answer: 484298840*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66.36 + -66.46. Let d = -0.12 + -4.88. Put u, d, -2 in decreasing order.\nAnswer: u, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**3 + 2*b**2 + 52*b + 461. Let q(p) = -24*p**3 + 9*p**2 + 210*p + 1844. Let k(f) = -2*q(f) + 9*s(f). Differentiate k(r) wrt r.\nAnswer: 9*r**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/4 (b) -160 (c) -1\/5 (d) -0.06 (e) 226\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4529, -8353, -12197, -16067, -19969, -23909, -27893, -31927?\nAnswer: -36017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/99)\/((-10)\/12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.114 and -169537.\nAnswer: -19327.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*h = -95*h + 135. Suppose 15 = 7*d - h. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 3 + 24 + -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = -11*m + 15*m. Suppose 0 = -3*k - 24 + m. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, 74, -15, -7 in decreasing order.\nAnswer: 74, -1, -7, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 121154 and 121157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -192, -210, -228?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 10560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -970, -965, -956, -943?\n\"Answer: 2*h**2 - h - 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - v - 150 = 2*v, 0 = 2*m + 5*v + 94. Let b = -26 - m. Let n = 39 - b. What is the greatest common divisor of n and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x + 55 = -113 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 + 16*d + 1 in the form q*d + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkm when three letters picked without replacement from {m: 2, g: 1, l: 2, t: 8, k: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30066933 divided by -67.\nAnswer: -30066933\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 25\/1767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 372.194 (b) -11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 13. Let u = 7 - h. Let t = -3 - u. Solve t*w - 2*g = -w - 8, 6 = -4*w + 5*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.167 and -2678559.709.\nAnswer: -2678558.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c + 4. Let p be l(-2). Suppose 4*r = -5*j + p, j - 15 = -2*r + 1. What is the remainder when 30 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 + 3*c**2 - 5. Let a be (-6)\/4*(-6)\/9. Let x(i) = i**3 - 1. Let g(u) = a*k(u) - 5*x(u). Find the third derivative of g(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l = -2*l - 66. Let k(c) be the third derivative of -c**4\/8 + c**3\/3 + c**2. Calculate k(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.39 + -0.01. Let m = w - -1.4. Let s = 0.5 - m. Sort 1, 2\/9, s in decreasing order.\nAnswer: 1, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4381*z**4 - 2084*z**2 - 7*z - 14. Let i(n) = 2191*n**4 - 1042*n**2 - 4*n - 8. Let d(x) = 4*a(x) - 7*i(x). Find the third derivative of d(m) wrt m.\nAnswer: 52488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 16 (c) 3 (d) 28 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*a**5 - 27\/2*a**3 - 29\/4*a**4 + 1\/2*a**2 + 27\/4 + 55\/4*a = 0 for a.\nAnswer: -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 23 + 10 = 0. Find the common denominator of 4\/(-8) - (39 + 0 + 1) and (-2)\/15*(2739\/(-4))\/u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3010*p = 3009*p + 4. Suppose -35 = -3*w - 5. Let i = w - 7. Solve -i*s + p = -b - 3, 5*b - 4*s = 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -c + 174 + 273, 3*c + 4*q - 1276 = 0. Calculate the greatest common divisor of c and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 smaller than 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 403569389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/7 - 387*v\/7 + 786\/7 = 0. What is v?\nAnswer: -131, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112001 - 13?\nAnswer: -112014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from {p: 4, r: 1, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/8 - 535*v**2\/8 + 67375*v\/8 + 1134375\/8 = 0. Calculate v.\nAnswer: -15, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 8*z - 1. Let q be i(6). Let v(t) = t**2 - 2*t - 4. Let o be v(11). Let c = q + o. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -227968?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4598 and 264?\nAnswer: 55176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -37*v**6 - 17*v**4 - 19*v**2. Let z(g) = -6*g**6 - 3*g**4 - 3*g**2. Let s(a) = -6*k(a) + 34*z(a). Find the third derivative of s(w) wrt w.\nAnswer: 2160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 6*s**2 + 9*s + 14. Let w be (-6 + 3)*(-47)\/3. Let d = w - 19. Calculate the lowest common multiple of d and x(-4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.3 and 246?\nAnswer: 1303.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19, 1, 105, 11 in increasing order.\nAnswer: -2, 1, 11, 19, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 20. Let z(n) = -4*n + 29. Let r(c) = -7*a(c) - 5*z(c). Differentiate r(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let i be c(-8). Let h = i - -18. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 2*j - 2. Let t = -261 - -297. Let u be (-22)\/(-5) + t\/(-90). What is m(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11))**(-1\/21)*(z**4)**(20\/11) assuming z is positive.\nAnswer: z**(1678\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2453177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68706077 to the nearest integer?\nAnswer: 8289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 1, q: 1, v: 3, e: 7, x: 3}. Give prob of sequence qeee.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -829771 - 6885630 = -90*a - 664981. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 36 = -16*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*t**2 - t**3 + t**3 - 66*t - 39*t - 4*t**3 wrt t.\nAnswer: -24*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5324 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 7*h + 4. Let o(m) = -m**3 + 2*m**2 - 1. Let a be o(1). Let l = -6 + a. Give k(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 666, 3388, 7914, 14238, 22354, 32256?\n\"Answer: -m**3 + 908*m**2 + 5*m - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-18))\/2)\/(304\/(-57)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5 - (-52)\/20. Suppose -2*x + 4*c = b*x - 248, 2*c = x - 52. Calculate the highest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417107221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.06 - -0.94. Which is the nearest to n? (a) 4 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32754 - -13?\nAnswer: -32741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 11476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22558331 a multiple of 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 24*o**2 + 4*o + 15. Is m(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/7 + 1610320*i\/7 + 162070656400\/7.\nAnswer: 4*(i + 201290)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 316. Let p(i) = -i - 632. What is 2*p(j) + 5*v(j)?\nAnswer: -2*j + 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -12)*(2 - 2) - (27 - -10).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 54.2. Let j be (6 - 4) + 18\/(-8). Which is the biggest value? (a) j (b) g (c) 1\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19444985*b*h*p**5 + 7*b*h*p**2 - 49575*b*h - b*p - 567*h*p wrt p?\nAnswer: 388899700*b*h*p**3 + 14*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 5 = 4*c - j, 2*c - j + 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 + 3*n**2 + n - 2. Let q be z(2). Suppose 0 = -7*x + 3*x + 64. Is (x\/3)\/((-4)\/q) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.006 + -39.006. Let u = 42 + i. Let k be (-14)\/10 - (0 + -1). Which is the third smallest value? (a) k (b) u (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, -1\/8, 0.5, 0.64 in decreasing order.\nAnswer: 14, 0.64, 0.5, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6218754137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8412163 to the nearest integer?\nAnswer: 2900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**2*p))\/(p\/(p*p\/(p*p**(2\/7))))*p**2\/(p\/(p*p*p**2)))**(13\/3) assuming p is positive.\nAnswer: p**(338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and -70.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4853 - 383 = -22*c. Let d = 2421 - c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iapm when four letters picked without replacement from immmmaapmmmamm.\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/15 + 2375132*p + 10577347532670 = 0.\nAnswer: -8906745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*i - 346*i + 16085 + 5825 = -12515 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*y**4 - y + 3*y + 357*y**4 - 3*y**3 - 2 + y**2 - 192*y**4 to x*y + d*y**3 + w*y**4 + r + v*y**2 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3)*1 - sqrt(3))*-5 - (sqrt(33)*4)\/sqrt(11).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(6)\/(sqrt(3) - (sqrt(108)*1 - sqrt(108))))**2.\nAnswer: 8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.8*-146.\nAnswer: 5810.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85060 is divided by 400.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((((w\/(w*w*w\/w**(-1))*w)\/w)\/w)\/w)\/w)\/w**(-2)*w*w**3*w*w**5\/w*w)**(-4) assuming w is positive.\nAnswer: w**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 5*i - 8. Suppose 6*a = 59 - 95. What is k(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152186088 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0 - 10) + 2)*(-3)\/4. Calculate the greatest common factor of 102 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -178 + 3648. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/120 + n**5\/20 - n**4\/12 + n**3\/6 - 19*n**2. Let x be c(-4). Let r(y) = 2*y + 14. Calculate r(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) -4 (c) -16 (d) 1\/4 (e) 0.1 (f) -0.2116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-1*sqrt(156))\/sqrt(12))**2 + (-5*(sqrt(13) - 1*2*sqrt(13)))**2)*-4.\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b**2 + 6*b - 10. What is the tens digit of r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/15 - 109\/1308 and 57\/706.\nAnswer: 7060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3236, -6675, -10114?\n\"Answer: -3439*a + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nondcdcs. What is prob of picking 1 s, 2 n, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 51 = -3*d, 4*v + 0*v - 2*d - 26 = 0. Solve -v*u + 5*u = 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-40)*6*4\/(-6). Let l = 37.42 - 37. Let g = l + -0.02. Which is the fourth biggest value? (a) -1\/9 (b) 1\/5 (c) x (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2 - 6 + 10*o - 28*o**3 - 19*o**3 + 2 + 14*o**3 - 3*o**3 wrt o?\nAnswer: -216*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 12*k - 3*k. Solve 35 = k*t - 0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 72\/(-3) + 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -1\/5*j**2 + 0 - 1\/5*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*r + 154899 - 149478 = 0 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -759 - -162?\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 202 - (-4 - -5) - -5. Let m(b) = 104 - g + 101 + 4*b. Let h(i) = -i. Let r be (-1 + (-1)\/(-4))*-8. What is r*h(k) + m(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 911*g - 7224.\nAnswer: -(g - 903)*(g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, c: 2, t: 13, n: 2}. What is prob of picking 2 t and 1 n?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 23*f - 33. Let h(i) = -14*i**2 - 97*i. Give t(h(r)).\nAnswer: -322*r**2 - 2231*r - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5718 is divided by 757.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -31. Is (4\/(-3))\/(j\/18) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128393059 is divided by 94825.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3283\/11 + 299. Sort -4\/3, 1\/3, m in descending order.\nAnswer: m, 1\/3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(52))*5.\nAnswer: 20 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26081 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2297+-0.6294\nAnswer: 2296.3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) -10\/7 (c) -5 (d) -1473 (e) 464\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-20))\/((-5)\/(-6)). Let t = -109\/150 + h. Let i = 16.9 - 17. Are i and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -61, -95, -163, -277, -449, -691?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -7, -1\/2, 152\/3 in decreasing order.\nAnswer: 152\/3, -1\/2, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126 + -12?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 14*k - 4*b + 341, 72 = k - 3*b. Let q(x) = -49*x**2 + k*x**2 - 44*x**2. Let u(m) = 6*m**2. What is u(q(z))?\nAnswer: 3456*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 363.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 + c**2 + c. Suppose -q - 3 - 1 = 0. Let j be (-6)\/q*(-8)\/12. Give g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Suppose -2*i = -5*r + 49, 0*r + 55 = j*r - 5*i. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 2*z**2 - 2*z + 2. Let c = 12 + -7. Let a be (3 + (-12)\/10)*c. Suppose 3*q + 0*q = a. Give h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 502*u**6\/15 - 22*u**3\/3 - u + 181. What is the second derivative of s(y) wrt y?\nAnswer: 12048*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 6*b - 7. Calculate g(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + (sqrt(17) + 1)**2 + sqrt(17) + 3)*-5 + 3 + (sqrt(17) - ((4*sqrt(17))**2 - sqrt(17))) + (sqrt(425) - (sqrt(425) - 4*sqrt(425) - sqrt(425)))**2.\nAnswer: -13*sqrt(17) + 10239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919007 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d - 3*v, -5*v + 8 = -12. Let z(m) = m**d - 21 + 39 + 6*m - 12. Determine z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 8}. Give prob of sequence oo.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 47. What is the closest to 2\/7 in 0, 2, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5752 = -637*j - 1892 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62812?\nAnswer: 2, 41, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043309321 to four dps.\nAnswer: 0.0433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 39134985.\nAnswer: -1\/39134985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 13*g - 14. What is n(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 14*r**2 + r + 16. Let m be y(-14). Calculate the least common multiple of 1 and (-8)\/(-2) - (2 - m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1324, 2649, 3974?\n\"Answer: 1325*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Suppose 0 = -w + d*l - 3, 3*l - 11 = 3*w - 8*w. What is the highest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 22*o**3\/3 - 6400. Let k be (-35)\/(-15) + (-1)\/3. Let m(g) = 7 + k*g - 7. Give m(z(q)).\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 18764615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3958223?\nAnswer: 37, 106979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 2, -4, -5, 1\/51, 6\/29, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4 = -7*v, 4*v = 3*r - 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i - 3. Let u(l) = 7*l + 4. Let m(w) = 3*h(w) + 2*u(w). Suppose -4*n + 27 + 21 = 0. Let f = n - 10. Determine m(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -430081909*j**2*w**3 - 46796508*j**2*w**2 + 3*w**2 wrt w.\nAnswer: -2580491454*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -291*b**3 + 10751*b**2 + 90220*b + 4928 = 0.\nAnswer: -7, -16\/291, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, n: 10, i: 2}. What is prob of picking 1 s and 2 i?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19464*o**3 + 17994*o**2 wrt o.\nAnswer: 116784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 768*j + 4. Let i(w) = 2*w + 17. Let b be i(-10). Let z be u(b). What is z rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/2)\/t)\/t**19)\/(t*t*t\/(t*(t\/(t**(2\/17)\/t))\/t)*t**14\/t) assuming t is positive.\nAnswer: t**(-1211\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2 - o - 1 + 5. Let y be u(-3). What is the biggest value in y, -2, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 13) to base 5.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 3*m. Let t be (-1 + 4 - 6)\/(3\/(-1)). Let a be r(t). Let d = -758\/5 - -149. Which is greater: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**3\/3 + 35*k**2\/2 - 9*k. Let h be d(-10). Solve -y - 2*y = -h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132 at least as big as 1164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12\/(h*(h*h**(-1\/47)*h)\/h))\/(h*h\/(h*h**(-2\/3))*h*((h\/h**(1\/4))\/h)\/h) assuming h is positive.\nAnswer: h**(4853\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24619003 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/(19\/2280*-18)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.2477 * 0.29\nAnswer: -0.361833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 51 = -4*k, 0*g + g = 4*k - 11. Let m = g - -31. Solve m = 2*v + 1 + 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*k, 2*k - 4*y + 1 - 25 = 0. Suppose 4*q - 13 = z, 3*q = -4*z - 2 + 45. Suppose k*n + 39 = z*n. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-75)\/36) + 52\/6864?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2165 - 2156. What is the nearest to f in -3\/11, -4, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l. Let p be k(2). Suppose z + 28 = p*z. Suppose -2 = -3*c + z. Solve 4 = -h, -5*u - c*h - 2*h - 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 18.09537 and -1103432.\nAnswer: -1103413.90463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -3)*(1 - (-3)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-2 + -1 + -6 - (-33 + 26)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1201932 centuries in decades?\nAnswer: 1.201932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - -3) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**7\/5040 - v**6\/720 - v**5\/30 + 2*v**2. Let h(d) be the third derivative of t(d). What is the derivative of h(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -u + 9 - 0, u - 2*m - 14 = 0. Suppose -8*i + 1120000 = -u*i. Round i to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**2 + r**2)*(0*r - 2*r + r + 2)*(5*r + 8*r + 4*r).\nAnswer: -68*r**4 + 136*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/276*-18)\/(6\/624*-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10274789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9175, -9147, -9071, -8923, -8679, -8315?\n\"Answer: 4*q**3 - 9179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*f = 4*f + 3480, -2*f = 0. Suppose 5*y - 1478 = -2*i, i + 3*i = 4*y - s. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.97 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {z: 3, r: 4, c: 2, y: 10}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y + y - 3*y + 3)*((0 + 4 - 3)*(3 + 0 - 4) + (2 - 3 - 1)*(-2 + 11 + 0)) as i*y + t and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001153 to seven dps.\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p*p\/((p\/p**8)\/p)*p)\/p)\/p*p)\/((p*p**(-2\/17))\/p)*(p**(2\/9)*p)\/p**(-5)*((p**0\/p*p)**(-1\/5))**(-11) assuming p is positive.\nAnswer: p**(2806\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -115563 divided by -101\nAnswer: 115563\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 370612*m.\nAnswer: 2*m*(m - 185306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 6606*r + 6600*r - 12913*r + 1.\nAnswer: 293*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u - 4 = 0. Let n be u\/(-1) - 0\/2. Let k(a) = a**3 - 2*a + 1. Let d be k(n). Is -1 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0487 and -11.\nAnswer: -0.5357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 3009?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*y - 211*y + 671*y + 544*y + 4*y + 0*y - 2*y + (-3*y + y + 0*y)*(-1 + 3 - 4) + 0*y + 2*y - 3*y.\nAnswer: 933*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 3:07 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14059, -14062, -14063, -14062?\nAnswer: -14059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**2*k - 2*c**2*m**2 - 65*c**2 - 6*c*m**3 + 5*k*m**3 with respect to k.\nAnswer: -8*c**2 + 5*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578722834.\nAnswer: 2, 269, 1075693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*g**4 - 7*g**2 - 4*g - 2 - 41*g**3 - 55*g**3 + 94*g**3 - 34*g**4 in the form c + i*g + o*g**3 + a*g**4 + r*g**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 1\/24*a**4 - 56*a**2 + 0 + 3\/2*a**3 + 0*a. Calculate o(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9098.\nAnswer: 2, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (2 - -1))\/(-1). Let c be -1*(-4 - -6)*(-19)\/((-684)\/1818). Sort p, -3, c in decreasing order.\nAnswer: p, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/6 and (-55)\/(-20) - -2*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 304, 592, 864, 1120, 1360, 1584?\n\"Answer: -8*h**2 + 312*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - 123*y - 1219. Determine m(-26).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3532684, 3532687, 3532690, 3532693, 3532696?\n\"Answer: 3*q + 3532681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 j, and 1 k when four letters picked without replacement from {k: 5, p: 5, n: 1, j: 7}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 285 = 3*o, -2*o - 481 = 3*c - 8*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2189, 5, 6 in decreasing order.\nAnswer: 6, 5, 3, -4, -2189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0294830013 to four dps.\nAnswer: -1.0295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -3 - (20 + 3510\/(-125)) - (-8)\/(-225)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 78\/157, -3\/5, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28442, -28456, -28516, -28652, -28894, -29272?\nAnswer: -29816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 18\/5, 4, -1\/11, 0.2?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 + 6 = 0. Suppose 6*c + 3*i - 16 = c, -z*c = i - 17. Suppose -4*m = 2*v - 3*m - 20, c*v - 50 = 5*m. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let f = q + 0. Let v = -1.062 + 0.062. Is v greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3))\/(p**(-6)*p))**(2\/25) assuming p is positive.\nAnswer: p**(6\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 41. Let b = r + 38. Suppose 2*u - 6 = 0, -4*p + 63 + b = -2*u. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 185\/35 + -5 - (-783)\/(-21). Let z = -56 - r. Let m = -16 - z. Solve -y = -m - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-8)*(-1443 + -9 + 4). Suppose 0 = -4*u - 2*u + w. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2325, 4641, 6957, 9273?\n\"Answer: 2316*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)*c*c*(c*c**(-1\/7)\/c)\/c*c**(-1\/4)\/c**(3\/2) assuming c is positive.\nAnswer: c**(-193\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 891, 1861, 2829, 3795, 4759, 5721, 6681?\n\"Answer: -p**2 + 973*p - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33537 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35154 divided by -27.\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 5. Suppose 10 + 35 = 5*x. Let l be y(x). Solve l*r + 0*r = 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvu when three letters picked without replacement from {u: 1, c: 1, n: 1, o: 2, v: 1, p: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66696 is divided by 22195.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 14*p**2 + p - 12. Let y(h) = 8*h + 102. Let w be y(-11). What is g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.02, -6, -3, 1\/25?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 284354 (base 11) to base 6\nAnswer: 13312024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426206.9 - -55.\nAnswer: -426151.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21243 divided by -2\nAnswer: 21243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 - 6*o**2 + 3 + 44*o + 11*o**2 - 145*o.\nAnswer: 11*o**2 - 101*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, -6.4929, -204?\nAnswer: -6.4929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 76 = 26. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9348119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - -6. Suppose -d = -84 + c. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20961845*b**3 + 20719613*b**2?\nAnswer: 125771070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 723 - 715. Suppose 3*k + v = 14, -k + 10 = -o*v + 11*v. Solve 4*n + s + 8 = 27, -k*n = -5*s - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 - 6*t + 6. Let h(a) = -2 + 3*a - 4*a**2 + 2*a - 1 - 2. Let r(i) = 6*h(i) + 5*o(i). Let n(q) = -8*q. What is n(r(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((272\/(-40))\/(-2))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13143 = -125*b + 12268 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 26 = 142. Suppose -l - 175 = -4*z + v, 3*z = -5*l + 135. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.91 + -0.09. Suppose -494 - 130 = -48*p. What is the third smallest value in -1, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7, k: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20882288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4572974 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 40. Put -4, g, -2, 5 in increasing order.\nAnswer: -4, -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3294, -2950, -2170, -738, 1562, 4946, 9630, 15830?\n\"Answer: 36*u**3 + 2*u**2 + 86*u - 3418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*v + 16, 2*m - m = 2*v + 4. Suppose v = 2*y + 4*i - 42, 0*y - 170 = -5*y + 3*i. Find the first derivative of 16*n**3 + 56 - 22 - y wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 12*w - 28. What is g(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*k - f, -3 = -0*k - k - 5*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, o: 13}. Give prob of picking 1 f and 3 o.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6462850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -328085490, -328085488, -328085486?\n\"Answer: 2*s - 328085492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = 2*l. Suppose -l*a = -5*a + 8. Solve -6 = -a*w + w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**5\/110 + 2*a**4\/33 + 5*a**3\/33 + 2*a**2\/11 + 49*a + 1. Factor n(c).\nAnswer: 2*(c + 1)**2*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31409, 31407, 31405, 31403, 31401?\n\"Answer: -2*d + 31411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let a(c) = 8*c**2 + 2*c. What is the remainder when a(-1) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -14 - 3 - -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-80)\/((-6080)\/(-513))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4562 + 4574 = -3*l, -3 = o for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 3:37 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1\/4824, 2\/7, -0.2 in increasing order.\nAnswer: -0.2, 1\/4824, 2\/7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -o - 5*u, -5*u - 54 = o + 3*o. Let y = -5 - o. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 111, 222, 331, 438?\n\"Answer: -i**2 + 114*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 - 2982*x - 32782. Give m(-11).\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5901398 millennia in decades?\nAnswer: 59.01398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242394 and 441762.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + 9060.\nAnswer: 8938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -13943, -5, -2\/7, 0.7 in descending order.\nAnswer: 0.7, 3\/7, -2\/7, -5, -13943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*h + 24 = 0, s - 3 = -2*h + 9. Let y = 780 + -601. Suppose s*m = 133 + y. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -4, 3585?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 25144.\nAnswer: 251440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0886 + 1.088599277. Round u to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67581863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 19255771 and -0.01.\nAnswer: 19255770.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964199 is divided by 107132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 11:57 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q + 132. Let v be u(0). Let k = v + -85. Suppose -x = -k + 16. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 468\/1981 + 14\/283. Let u = -2 + 1.9. Let y = 0.1 + u. What is the nearest to 2\/7 in h, 4, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20110\/4*306\/255.\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - u = -192, 0 = j - 3*j - 3*u + 106. Calculate the remainder when 136 is divided by j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 11:22 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51054*z + 4194*z**2 + 51054*z.\nAnswer: 4194*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -290767729.3617.\nAnswer: -290767732.3617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f**3 - 8*f**2 - f - 34. Let p(b) = -8*b**3 - 10*b**2 - b - 33. Determine -3*p(d) + 4*u(d).\nAnswer: -8*d**3 - 2*d**2 - d - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:03 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 60464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082231926.\nAnswer: 2, 23, 59, 398759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -1638989.\nAnswer: 19667868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -153 - -195. Let q = -41 + a. What is the nearest to -2 in -14, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b + 21*b + 74 = -14*b + 12*p + 4*p, -4 = -p for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -21, -32?\n\"Answer: -11*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -i - 3*i. Suppose -k = 3*p - i, -4 = -p - p. Suppose k = f, -2*n = f + f - 88. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -15. What is the third derivative of 2*i - i**3 + 14*i**5 - 14*i**5 - g*i**2 + 17*i**6 + i**6 wrt i?\nAnswer: 2160*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -835921 (base 11) to base 2.\nAnswer: -101000111001011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*h + 5*h - 1)*(-11 + 11 + 3*h**3).\nAnswer: 6*h**4 + 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t + 9. Let d(k) = -14*k - 12. Let h(r) = -5*r - 4. Let i(f) = 3*d(f) - 10*h(f). Let q be (946\/77 - 6) + (-4)\/14. Calculate q*l(s) - 13*i(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5262.97 + 5263. What is the third biggest value in 4, -47, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**3 + 13*c**2 - 9*c - 13. Suppose -b + 44 = -3*b + 4*m, -4*m = -4*b - 96. Let x(o) = o**3 + 3*o**2 - 2*o - 3. Give b*x(l) + 6*r(l).\nAnswer: -2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*d - 20 = 216*d. Solve o - 14 = 2*k + d*o, -3*k - 4*o = 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3432? (a) -1 (b) 7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220 + 0?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17755 - 31476 = -233*g - 23601 for g.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7780 + 7831. Solve q = h + 54 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 356 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 9 = -v, -6*v - 4*s = -v - 45. Let f be (-8)\/12 - 46\/(-6). Let x = f + v. Solve 4*b + 3*c + c - x = 0, 3*b - 11 = -2*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*g**4 - 5*g**3 + 2*g**2 + 7369*g - 2 wrt g?\nAnswer: -1560*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {h: 1, s: 8, n: 1, i: 8}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17 = b - m, 0 = -5*b + 4*m. Suppose 0 = -w + b + 6. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d + 398 - 400 + 7*d.\nAnswer: 16*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 664239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1152 (base 6) to base 3\nAnswer: 101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 7. Let n(f) = -6*f - 13. Let c(v) = -6*n(v) - 11*x(v). Let b = -3 + 6. List the prime factors of c(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367 + 0.01529?\nAnswer: -366.98471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 902 - 902 - 3*j. Let y be 0 - (0\/1 + 2). Let b be -1*y*(-1)\/(-2). Calculate w(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -219320, -219319, -219316, -219311, -219304, -219295, -219284?\n\"Answer: x**2 - 2*x - 219319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.201, -87, 9, -1\/4, -2 in descending order.\nAnswer: 9, -0.201, -1\/4, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17461 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8154 (base 9) to base 12.\nAnswer: -354a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/90*(15\/24 + -1).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 9:32 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6851.\nAnswer: 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 0*h**3 + 0*h**2 - 2 + 0*h + 1\/4*h**4. Let b(y) = -2*y**3. Calculate 2*b(p) + 2*o(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -3, -0.03995, 0.5, -4, -6\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + u**2 - 4*u**2 - 11*u**2.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-47)\/3 - -1)*3. Suppose -8*n + 8*n = 9*n + 414. Let v = f - n. Solve -2*c = -s - 12, c + v*s + 0*s = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6630 (base 10) to base 3\nAnswer: 100002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11039 = 19*y - 26*y. What is the remainder when y is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153733.\nAnswer: 153733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + -3) + -4.\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 9*m - 4. Let a be j(0). Sort a, 0, -5, 1.\nAnswer: -5, a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 241 and -183?\nAnswer: -44103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 + -113?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 607 + 203 = 0. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.7 - 45.7. What is the fourth smallest value in y, 0.3, -0.9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/c**(-1\/6)*c))\/(c*c**9*c*c*c*c) assuming c is positive.\nAnswer: c**(-97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -50080 and -49909 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/174755959?\nAnswer: 2\/174755959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 32*u + 251. Calculate p(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5312 = -48*x - 3248 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 37. Calculate d(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -220, -483, -850, -1315?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/6 (b) 0 (c) 4 (d) 350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - -17 - (2 + -16).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/6 - -1*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*r - 336. Suppose 5*z + 108 = 4*n, -5*n = 4*z - 263 + 169. Calculate the lowest common multiple of n and r.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5591, 10734, 15445, 19724, 23571, 26986, 29969?\n\"Answer: -216*u**2 + 5791*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 362\/(-18) + ((-232)\/72 - -3). Which is smaller: f or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + -1 - (40 + -44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156390875 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(0*n**2 + n**2 + 0*n**2)*(3 - 1 + 1 + (-6 + 7 + 3)*(0 + 2 - 1)) to p + u*n**2 + z*n and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n**2 - 3*n + 1. Let g be o(2). Let y = -24 - -34. Suppose -y - 86 = -g*x. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 31. What is the fourth smallest value in -5, 4, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 + 896?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261335?\nAnswer: 5, 52267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 9*t - 16. Let b be g(12). Suppose -361 = -3*s + b. 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: What is 60623 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: Simplify 1*(3 + -6*(sqrt(300)*-1 - sqrt(300)) + 5*(2 + sqrt(300))).\nAnswer: 13 + 170*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9392 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00286735 rounded to 5 dps?\nAnswer: 0.00287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -19, 4, 8?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332 and 69965348?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/5)*d*d**(4\/5)*d\/(d*d**(-5))*(d*d*((d\/(d*d*d*d\/((d\/(d\/((d\/((d**(4\/9)*d)\/d))\/d*d*d)))\/d)))\/d)\/d*d)\/d*d assuming d is positive.\nAnswer: d**(223\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077019.0155 rounded to the nearest one hundred?\nAnswer: 1077000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -82 in 6, 3\/7, -1371, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -63.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 2*r - 4. Let p be m(-3). Let i be 5\/(-15) - 10\/6. Sort p, i, 1.\nAnswer: i, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10093121 * -2.\nAnswer: 20186242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -92*o**3 - o + 1. Let a(u) = -186*u**3 - 2*u + 2. Calculate 3*a(p) - 5*w(p).\nAnswer: -98*p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8\/35, 33\/10 in descending order.\nAnswer: 33\/10, 8\/35, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 p when three letters picked without replacement from alulluapuuupaeuiup?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -11 + 3 - 4 - -1125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - f - 878 = 0, 0 = f - 5 + 3. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18994 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - 6*o - 3. Give f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waa when three letters picked without replacement from {s: 1, w: 2, y: 4, a: 10}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 52, 1\/3, 3, -1, -2\/17, 5.\nAnswer: -1, -2\/17, 1\/3, 3, 5, 28, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*811.9\nAnswer: 113.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 38 = -193*t + 390. Solve i + t = 5*w, -4*w - 2*i = -6*i + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 3029*j**2\/3 - 127848*j - 105840.\nAnswer: -(j + 252)**2*(6*j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1246 + 3549. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-15)\/(-18))*((-345)\/630)\/(1\/(-7)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 9*f**2 + 3. Let k be 1*(-1 + -26)\/3. Let u be z(k). Find the third derivative of -2*i**6 - 2*i**2 - 3*i**6 + 0*i**2 + u*i**2 wrt i.\nAnswer: -600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3087) + 1)**2.\nAnswer: 42*sqrt(7) + 3093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.039, -1\/3, -4, -11, -2\/31, -0.3, -2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let p(v) = 3*v + 3. Let i(c) = 0 + 1 + c + 0. Suppose 5*m - 2*h - 73 + 145 = 0, -3*m = 3*h - 3. Calculate m*i(j) + w*p(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3185352.\nAnswer: 2, 3, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341742 take away 0.3?\nAnswer: 341741.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 o when three letters picked without replacement from fxmxoooffoxxffx.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 8*n - 5. Let t be h(-7). Let m be (6\/4)\/((-27)\/t). Determine a, given that m*a - 1\/3 - 1\/3*a**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40170 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1118399*g**3 - 430594*g**2 wrt g.\nAnswer: -6710394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 47103.\nAnswer: 188412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3003 + 6040. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 > 11\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*h + 115 = 149*h + k, 5*h - 4*k = 307. Calculate the remainder when h is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307, -630, -999, -1438, -1971, -2622, -3415?\nAnswer: -4374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -956*o + 1841*o + 3540 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1344)\/780)\/(-28)*(-10)\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 14955*r**3 + 193810*r**2 + 714900*r + 536040 = 0 for r.\nAnswer: -2978, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 15. Find the second derivative of z*r - 18*r**4 + 7*r**4 - 4*r + r wrt r.\nAnswer: -132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69579271 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/891333 and -17\/2079777.\nAnswer: 6239331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.963 in -12, 0.26, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)\/z*z*z**(2\/7)*z**(-2\/11)*z\/(z\/z**(4\/9)*z) assuming z is positive.\nAnswer: z**(-1699\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*v + 87*v + 108 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-6) + (-2)\/(-4). Let g(l) = l**3 + 4*l**2 + 4*l + 3. Let v be g(n). Sort -3, v, 2 in decreasing order.\nAnswer: 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -433779\/8 + 53962. Let l = 260 + p. Put 0.02, l, 0.5 in decreasing order.\nAnswer: 0.5, 0.02, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 380\/1281 + -2\/183. Solve 2\/7*f**3 - 6\/7*f**2 + 6\/7*f - q = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48.9? (a) 2\/3 (b) 3 (c) -2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -21054416.6 to the nearest one hundred thousand.\nAnswer: -21100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(2299) + -1 + sqrt(2299)))**2*-4.\nAnswer: -147152 + 704*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*(z*z**6)\/z)\/((z*z*z\/z**2*z)\/z**(5\/4)))**(-1\/53) assuming z is positive.\nAnswer: z**(-25\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4194)\/(-12582)*(-6)\/56?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8586?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10707912 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*t - 71*t - 71*t - 67*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5033 minus -11.1?\nAnswer: 5044.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4921 + 4931 + 8 + (3 - 2) + 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 14*i - 33. What is s(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5 + 24*y**4 - 44*y**3 + 8*y**2 + 48*y - 32.\nAnswer: -4*(y - 2)**3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 6803978.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4436*b**2*v + 8091*b**2 wrt v?\nAnswer: 4436*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 3606\nAnswer: 2\/1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63733693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 38*u + 198. Give n(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*z - 2139301 = -3*x - 81*z, -3*x + 2139309 = -3*z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 4. Suppose t*f = f. Suppose -5*x + 11 + 9 = f. Solve 4*w = -3*j - 23, 0 = 3*j + j + x*w + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220690.\nAnswer: 2, 5, 29, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5418407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2\/21, -264\/1241 in decreasing order.\nAnswer: 17, -2\/21, -264\/1241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (96 - (21 + 39)) + -14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 28. Let a be (-1)\/1 + k*1295. Let x = -10129 + a. What is x rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.9417um to kilometers.\nAnswer: 0.0000000819417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/4*-1 + (-1909)\/161*7?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1267671*l**3*o**3 + 2*l**3*o + 260*l**3 + 10*l**2*o - 7*l**2 - 191*l + 42*o**4 wrt o?\nAnswer: -7606026*l**3*o + 504*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by 10\nAnswer: 124\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 598*k - 15554. Determine o(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, f: 6, l: 1}. Give prob of sequence lf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u. Let j(f) = -6*f + 1. Let t(m) = 4*m. Let x be t(-1). Let q(y) = x*j(y) - 3*g(y). Is 16 a factor of q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 16*t - 18. Let a be i(14). Let h(y) = -9*y**2 + 3 - 4*y - 1 + a*y**2 - 3*y. What is the tens digit of h(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -17*c**4 + 6*c**3 - 6*c**2 + 18. Let x(m) = -18*m**4 + 5*m**3 - 5*m**2 + 18. Let j(y) = 5*k(y) - 6*x(y). Find the first derivative of j(w) wrt w.\nAnswer: 92*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -1\/13, -2, 2\/3, -867, 1\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1985905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*w - 5, -3*h - 24 = -2*w - 7*h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-351)\/15 - -7)*-625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 30*c**4 + 13 - 17*c**4 - c**3 + 51*c**4 - 2*c**2 to the form d*c + o + a*c**2 + g*c**3 + f*c**4 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (458754\/(-628))\/((-129)\/(-6)) - -34.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120814819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19213, -19207, -19201, -19195?\nAnswer: -19189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 10. Let x = -10 - -13. Sort x, -3, k in descending order.\nAnswer: k, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/16 + (-1)\/(-4). Let g(o) be the first derivative of -8 - q*o**2 + 4 + 3*o**2 + 2*o**2. Let w(r) = 2*r**2. Calculate g(w(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y = -68*y - 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3879 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) - 2\/(-1). Let m be -1*u*(-2)\/(-3). Let q = -2 - m. Let v(f) = -f + 1. Give v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283741 is divided by 178.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.99984. Let t = -0.2 - -0.2. Let u = t - y. Round u to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14438*h*j + 3*h - 141*j - 240 with respect to h.\nAnswer: -14438*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -12656?\nAnswer: -12652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515582697.\nAnswer: 1515582697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 14*w - 3. Let o(n) = 5*n + 1. Let z(j) = 2*b(j) + 7*o(j). Let d = -15 - -17. Let x(i) = -i + 1. Let f(h) = d*x(h) - 2*z(h). Factor f(t).\nAnswer: -4*t*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2 + 0 + 2*r**4 - 4\/5*r + 4\/5*r**3 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 409*f**2 - 423*f + 421*f + 7*f**3 - 1 - 354*f**2 as p*f + m*f**2 + h*f**3 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0783 to three decimal places.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11118 and 18411?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = 4*k + 8, 2*h = 4*k + 4. Let n = 47 + k. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28824.963 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 95*f + 1043. Let m be k(-11). Put 25, -4, 3, m in increasing order.\nAnswer: -4, m, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -26. Let p be -2 - (b - (0 - 3)). Suppose 26 = -p*v + 74. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*f - 1780 + 422, 2*t = 2*f - 1360. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 43. Let u be (6\/136)\/(5322\/15079). Put 4, u, t in ascending order.\nAnswer: t, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-211885)\/775 + 104)\/(28\/(-20))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711073981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -13?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Let n = 23 + -19. Let r = k - n. Round r to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 38, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 11:26 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvz when three letters picked without replacement from {z: 4, c: 1, n: 1, v: 3, a: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 3 = u - 16 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40422 (base 7) to base 13.\nAnswer: -4611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*0.76.\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15 = -5*r. Let p = r + 5. Suppose 0 = -4*h - p*h - 16. Let i(q) = -q - 5. What is i(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (255\/34)\/((-10)\/(-20)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -756 - -774. What is the least common multiple of 10 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -5*n - g - 2, 0 = -n + 3*g + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -18. Let x = f - 14. Let y = 13 - 7. Let w(b) = -19*b**3 - 13. Let c(k) = -9*k**3 - 6. What is x*c(j) + y*w(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-5))\/(1\/(-5)). Suppose -2*y = -7 - t. Suppose -25 - 415 = -5*a. What is the highest common factor of a and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2582459851?\nAnswer: 17, 113, 593, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -394537758 plus 2?\nAnswer: -394537756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21788 - -485?\nAnswer: -21303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 - 2*k. Let g(y) = -5*y**2 + 5. Let q(p) = -p**2 + 1. Let z(i) = -g(i) + 6*q(i). Calculate -m(o) + 2*z(o).\nAnswer: o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1600\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.8 + -1.3. Let o = -1\/32 + -7\/32. What is the third smallest value in z, -2\/9, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 405*d - 6110.\nAnswer: 5*(d - 94)*(d + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 - i + 2. Let p be w(5). Suppose 0 = -y + 5*y - 8. Put p, y, -2 in descending order.\nAnswer: y, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303849001 rounded to the nearest ten thousand?\nAnswer: -303850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**2 + 23*g**2 + 1 - 351*g + 351*g - 5*g**2. What is b(2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.061 and -2046455.\nAnswer: -124833.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - (-30)\/9. Suppose j*f - 138 = 3*n, -5*f - 2*n = -0*f - 230. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 905036087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2249587 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 10902?\nAnswer: 10903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + i - 306 = -i, 2*o - 331 = 3*i. Let u(q) = q**2 - q + 241. Let a be u(0). Let w = a - o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-2)*8\/10. Let v(x) = 5*x - 1 + x**k - 11*x + 4. Let r be 1*4 - (10 + -10). Calculate v(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -177375804, -177375800, -177375796, -177375792, -177375788, -177375784?\n\"Answer: 4*k - 177375808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41854900691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-32)\/(-24)*(-9)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*i - 2*i + 294, -4*i - 3*y - 392 = 0. Let t = i - -143. Calculate the greatest common divisor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 17. Suppose p - 4 = y*p. What is the remainder when 11 is divided by p\/(-18) + 156\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + 1*sqrt(7) + -2))**2.\nAnswer: -48*sqrt(7) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 210 = -217. Let h = 83 + a. Calculate the remainder when 153 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 531*h - 332. What are the prime factors of a(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, b: 3}. What is prob of picking 2 a and 2 b?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 53 = 73. Calculate the least common multiple of q and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49702 (base 10) in base 12?\nAnswer: 2491a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1502*x - 884*x + 741 - 120041 = 0 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(24\/(-8)))\/(48\/1792*7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4527527, 4527488, 4527449, 4527410, 4527371?\nAnswer: 4527332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 172*r**2\/3 - 7396*r\/3.\nAnswer: -r*(r - 86)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 9*s**2 + 1. Let r be n(9). Let c(u) = 2*u**2 - 15*u - 30. Let y(l) = -l. Let v(p) = r*c(p) - 4*y(p). List the prime factors of v(13).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -79*r**4 + 6*r**2 + 77*r + 6. Let v(t) = -78*t**4 + 5*t**2 + 78*t + 5. Let x(i) = 5*n(i) - 6*v(i). Find the second derivative of x(j) wrt j.\nAnswer: 876*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 977.1603 millimeters?\nAnswer: 977160300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 187a + -114?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 108 = -20*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/24 + o**5\/60 + 4*o**2. Find the third derivative of s(v) wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(36\/(-15)))\/(28\/448)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 17*o - 87. Let u be b(11). Is 99 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4840 = -9*y. Let k(x) = -12*x + 163. Let a be k(9). What is the greatest common factor of a and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.423 - -0.077. Let o = 7.8 - 24.7. Let m = o - -16.6. Sort m, -2\/13, 2, z in increasing order.\nAnswer: m, -2\/13, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/632 and -89\/18.\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 466*g + 446*g + 14)*(-2 + 1 + 3) to the form w + t*g and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1220.7 - -0.6.\nAnswer: -1220.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42, -1, 1\/4?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - 0.06. Which is bigger: 0.15 or c?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -588597282 divided by -98099547\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/48 - n**3\/6 - 21*n**2\/8 + 2*n + 68. Factor w(v).\nAnswer: (v - 7)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.206 - -0.106. Let v = -0.9 - -1. Let a = -67.1 - -67. What is the nearest to a in 3, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5203 - 5208 + 4*j + 15872 - 5461.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*l**2*t**2 + 12*l**2*t - 384*l**2 + 270*l*t**2 + 2*l*t - l + 2*t**2 - 43 wrt l?\nAnswer: 14*t**2 + 24*t - 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 2703.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -1, 34, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.243\nAnswer: -0.0972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2548*z**2 + 243432*z**2 + 17919*z**2.\nAnswer: 258803*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/5))**(-7\/3)*((o\/o**(2\/5))\/o*o*o)\/o**5*(o\/o**(2\/3)*o)**34*o**(-3\/5)\/((o*(o*(o**6*o)\/o*o*o)\/o)\/o) assuming o is positive.\nAnswer: o**(451\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {g: 1, b: 1, t: 2, y: 6, a: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o + 2. Let q = -18 + 13. Suppose -5*k = -215 - 95. What is the remainder when k is divided by n(q)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.01, 2, -0.14, -0.18, 5?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 1050?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 456 or 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -420343 + 13?\nAnswer: -420330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, 0, -4, -1 in decreasing order.\nAnswer: 0, -1, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**3 - n**2 - 6*n + 6. Let i be x(1). Suppose g + 7 = -q + 14, -i*q = 5*g - 26. Which is the nearest to -4? (a) g (b) 5 (c) 0.1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 573*c + 2606*c + 2407*c to the form o + y*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 3*h + 15. Calculate s(-10).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/4382800)\/(15\/(-3878028)). Let h = 1\/10957 + m. Calculate the common denominator of h and 16\/55.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827726?\nAnswer: 2, 413863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2160 - 2146. Calculate the remainder when 64 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 7*p - 1. Let b be x(7). Let k(c) = c**3 + 5*c**2 + 3*c - 5. Let y be k(-4). What is the closest to y in 0, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7074 and 722596.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 112 = 4*a - 3*p, 0 = -5*p. Is 6\/15 + a\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 - 174. Let x = 84 + c. Suppose g - 9 + x = 0. Solve -g*y = -y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/291 (b) 2 (c) -2 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + -23 + 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 3120 = 11*q. What is the greatest common factor of 280 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70655 * 41.67.\nAnswer: 2944193.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50516570 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14231104759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgfttysgx. What is prob of picking 2 t and 1 s?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4\/7, -2.3, -20?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34712055, -69424110, -104136165?\nAnswer: -138848220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/216)\/((-6)\/32)*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1944 is divided by 627.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o = -21*o + 2*j + 4, -3*o - 24 = -3*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -346*w**3 - 446*w + 2. Let u(o) = -o**3 - o**2 - 2*o - 1. Let m(p) = r(p) + 2*u(p). What is the second derivative of m(t) wrt t?\nAnswer: -2088*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.4 - -8. Let y = v + -1.6. Is y > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333130, -1332520, -2998178, -5330110, -8328322?\nAnswer: -11992820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**1\/d)**(-32))**(4\/17))**(-35))**(-10\/7) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2545355.9 to the nearest ten thousand.\nAnswer: 2550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-4))\/(7\/(-160)). Let v = a - -356\/21. Let g be (4\/6)\/((-2)\/3). Are v and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -65553 and -1.9?\nAnswer: 65551.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (87945\/325)\/(2475\/375)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2978735.\nAnswer: 5, 29, 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/28)\/(468\/546)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 481*o**2 - 15874*o + 21. Determine c(33).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {s: 1, d: 7, v: 8, x: 1}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 231400 divided by -4450?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -2*m, -20 = -0*m + 2*m - 4*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*d + 11, 0*o - o = -3*d - 14. Let a(w) = -14. Let g(f) = 5. Let h(u) = 6*a(u) + 17*g(u). Let s(n) = -3*n**3 + 3. Calculate o*s(q) + 3*h(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 675\/95 - ((-7371)\/(-57))\/3\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, j: 1}. What is prob of picking 1 j and 2 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 a when four letters picked without replacement from avjujauo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*n**4*r + 4607*n**3*r**2 - 60*n**3 + n**2*r + 3*n**2 + 33*n*r**2 - n + 65*r**2 wrt n.\nAnswer: 216*n*r + 27642*r**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1822.\nAnswer: -364.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2594051\/102 + -25433. Let s = -721347\/34 - -21213. What is the common denominator of s and d?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**3 + x**2 - 2*x - 5. Let t be d(-2). Suppose 3*m = -l + 71, -m + t = l + m. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.3 (c) 4\/79 (d) 3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280234271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/40 + 11*o**5\/30 + o**4\/3 + 3*o**3\/2 - 81*o**2 - 16. What is n(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 20307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 5\/2*h**3 + 6*h**2 + 0 + 23*h. Differentiate p(j) with respect to j.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*z)*(-5 - 1 + 1) + 5 + 2*z - 6 - 1 + (-2 - 4 + 1)*(-z + z - z).\nAnswer: 22*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k + 33. Let s(f) = -10*f + 82. Give 5*s(q) - 12*t(q).\nAnswer: -2*q + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.904 + 0.174. Let b = -0.7299952 - z. What is b rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.91 - -13.01. What is the nearest to y in -1\/5, -3\/14, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1130043200?\nAnswer: 1130043140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-803)\/(-88) - 8)*(1 - -7). Let x(t) = 2*t**3 + 4*t**2 - 2*t - 4. Let p be x(2). Calculate the greatest common factor of v and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011010111010 (base 2) to base 6.\nAnswer: -113522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:27 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 488 = 5*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w - 430 = 0. Let f = -8383\/39 - w. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:37 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/10 and -123\/5990.\nAnswer: 5990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -8 + 8 - 2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 346.9 + -442. Let o = -95 - a. Put o, 1\/5, 0.9, 0.3 in increasing order.\nAnswer: o, 1\/5, 0.3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393268061 a multiple of 3538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100000 - 10110?\nAnswer: -10011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -8\/5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 8:59 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 15 - 0, -3*r - g + 112 = 0. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n + 15960 = -6*n. Let i = n - 557. Solve 0 = -6*m + i + 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -3*g. Sort 3, -3, g in decreasing order.\nAnswer: 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 15*i - 14. Calculate k(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 - 6853991*v\/6.\nAnswer: -v*(v + 6853991)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*o - 15, 3*o = -4*u - u - 45. Calculate the remainder when 69 is divided by 2*(u\/(-4) + 3) - -5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g - 78*g**2 - 2 - g + 920715*g**4 - 920705*g**4 - 2*g**3 in the form x*g**2 + d*g**3 + b + a*g + c*g**4 and give x.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9539, 9537, 9535?\n\"Answer: -2*r + 9541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8))**(-8\/9)*((z*(z**(-2\/29)*z)\/z)\/z)**(-2\/5) assuming z is positive.\nAnswer: z**(8156\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/5)\/(1\/(-5)). Solve 0 = -i*w - 2*r + r + 1, 5*w = 5*r - 25 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 1\/3*u**2 - 18*u + 1\/60*u**5 - 24 + 5\/18*u**3 + 1\/9*u**4. Let q(r) be the first derivative of s(r). Factor q(j).\nAnswer: (j + 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.7 + -40.1. Let p = -24 - w. Sort -0.3, 3, p in descending order.\nAnswer: 3, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 21*l**2 - 28*l - 34. Let y be v(-22). Suppose 0 = 2*d + 5*d + y. Suppose 2*x + b = -29, 2*x + 3*b - 6*b + 41 = 0. Which is bigger: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecdr when four letters picked without replacement from {h: 3, t: 5, r: 4, c: 3, d: 1, e: 1}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**2 - 5*i**2 + 7*i**2 + 0*i**2.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27059?\nAnswer: 27059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6405, -12813, -19219, -25623, -32025, -38425?\n\"Answer: a**2 - 6411*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*g**5 + 14\/9*g**2 - 4\/9*g + 0 - 2*g**3 + 10\/9*g**4.\nAnswer: -2*g*(g - 2)*(g - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 + 32 = 0. Suppose 3*x - q = -2*x. Suppose 2*u - 5*m - 421 = 0, -x*m + 4 = -1. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 4*z**2 + 0*z**2)*(4 - 4 - z)*(-687*z + 137*z - 297*z).\nAnswer: 1694*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 948 and (3 + (-21489)\/(-26))\/((-3)\/(-4) + 0)?\nAnswer: 6636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n**2 - 4665125*n + 5831375 = 0. What is n?\nAnswer: 5\/4, 233255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d + 218 - 26328 = 0. List the prime factors of d.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*j - 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 6*g - 2*g. Let q = g + 18. Let p be ((-26)\/(-8))\/((-4)\/q). Solve 2*o = 4*k - 8, 3*o - 8 = -5*k + p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (((sqrt(117) - sqrt(117)*2)*4)\/sqrt(9) + -5 + (sqrt(13) - (-2*sqrt(143))\/sqrt(11)))**2).\nAnswer: -60*sqrt(13) - 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 21*w + 13. Let o be j(-10). Solve o + 0 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163832 != 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5861254.1+-0.5\nAnswer: -5861254.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 715 divided by -143.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/(-512)*1\/1*5*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 6 - 0. Suppose 0 = y*j - 6. Let 4*i**j - 4*i**2 + 5*i**2 - 3*i**2 = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h + 1. Let y be (-1 - -2) + (-2 - 1). What is m(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 o when three letters picked without replacement from {c: 1, i: 1, o: 2, d: 4, v: 7, s: 3}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 1)*(1 + 0 - 2) + (1 - 1 - 2)*(-1 + 0 + 0)*(2 - 3 - 1))*(2*v**2 + v**2 - 6*v**2)*(92 - 92 + 54*v).\nAnswer: 810*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*f - 76 = -16, -15 = 3*f. Let g = x - -34. Calculate the remainder when 94 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 3*t**2 + 3*t - 1. Let a be l(-4). Suppose -2*m + 2 = -2. Suppose -b = -a*b + m. Is b smaller than 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and -1061408.\nAnswer: -32903648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 86*x**2 + 256*x - 138. Is w(-25) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21335 divided by -5.\nAnswer: -4267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 0 = 5*y. Suppose -8 - 10 = -y*s. Let d = 149 - s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z - 2 - 8*z - 12*z**2 + 13*z**2. Let g be l(15). Suppose -5*u - 3*j = 0, -3*u + 3*j = -11 - g. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-6)\/12*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05494 + -0.055. What is k rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443913 is divided by 177?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 at most as big as 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4679 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.6 and 33.964.\nAnswer: 30.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/7)\/(3\/63). Which is smaller: t or -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -23845*x - 4 - 41033*x - 22576*x + 0. Let d be t(-5). Let k = -617266 + d. What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 18. Suppose -5*d - 5 = -5*p, -p + 6*d - 3*d = -5. Let w be 3399\/44 + p\/4. Calculate the highest common divisor of z and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 46989.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.9.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21374 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.28 + -1.72. What is the closest to -0.1 in 0, -3, -11\/3, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -74.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - a)*(-3 - 1 + 5 + (0 - 2 + 1)*(2 - 4 + 1) + 1 + 0 + 0 + 5 - 5 - 10)*(a**2 + 0*a**2 + 0*a**2).\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3.1. Let z(y) = 2*y**2 - 19*y - 11. Let u be z(-18). Let q = u - 8801\/9. What is the closest to a in q, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42819 - 11?\nAnswer: -4282a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/20 - ((-39)\/12 - 1). Suppose 2*t - j*r + 28 = -10, -3*t - 53 = -5*r. Let o = t - -16. Let x(k) = k**3 - 4*k**2 - 4*k + 2. Calculate x(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 7) to base 4.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*x**4 - 40*x - x**4 + 41*x wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.6321467 plus 2?\nAnswer: -128.6321467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = -8*i, 3*c + i - 126 = 0. Calculate the remainder when 95 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 9, -29, 5, -4 in ascending order.\nAnswer: -29, -4, -2, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2987 and 618.\nAnswer: 17922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.094 (b) 0.05 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 6*t**2 + 38*t - 42. Let f be q(15). What is the highest common divisor of 48 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59938.\nAnswer: 2, 23, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**16))\/((o*o**(1\/46)*o*o)\/o)*(o**(1\/18)\/o)\/((o\/o**(6\/5))\/o*o) assuming o is positive.\nAnswer: o**(13697\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 237\/429 - 324\/702?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-35) + 87\/180. Let r(w) be the third derivative of 1\/6*w**3 + 1\/60*w**5 + w**2 + j*w**4 + 0 + 0*w. Find p such that r(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55434 - 3654. What are the prime factors of x?\nAnswer: 2, 3, 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -451 + 851. Let x = 203 - 112. Let t = x - q. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Let b be m(-1). Let i(x) = 30*x**2 - 5*x - 14. Let d(l) = 7*l**2 - 2*l - 4. Let z(g) = 4*d(g) - i(g). What is z(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 2. Let w be i(-11). Let f = -7 - w. Solve 4*b + s - 9 - 13 = 0, -5*b - f*s + 29 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-5\/7)\/y)*y\/(y*y\/(y\/(y*y*y\/(y*y**38\/y)*y)*y*y)*y))**(-5\/6) assuming y is positive.\nAnswer: y**(-220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 4:46 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 2*f - 2, -3*a + 86*f + 17 = 85*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(132)\/sqrt(11))*-6 + ((sqrt(75) + sqrt(75)*-1)*-1)**2.\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = -0. Let h(d) = d + 32. Let f be h(u). What is the highest common divisor of f and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272 - (6 + -15) - 3.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -158831b + -10?\nAnswer: -158832b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82726\/15 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/60 + t**4\/24 - 5*t**3\/6 - 3*t**2. What is the units digit of u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 2, 266, -1, -499, 3 in decreasing order.\nAnswer: 266, 7, 5, 3, 2, -1, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -84.1. What is the nearest to z in 0.1, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, x: 1, d: 1, o: 1}. What is prob of sequence bx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 17591 - 17591.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217 or 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 44. Suppose -p - 56 = -h, 0*h + 3*p = 2*h - 113. Let v be 114\/r + (-10)\/h. Solve y + 3*q + 0 + v = 0, 2*y + 5*q + 9 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215384 is divided by 107690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 - 1.81919\nAnswer: -1.72919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*g - 51*g + 19*g.\nAnswer: -76*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30617 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0807 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3777.965212 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 4*d = -6228, -8326 = -4*v - 2*d. Suppose -116*m = -120*m + v. Is m a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u + 16 = 0. Let d = u + 11. Let v = 5.6 + -5.1. What is the smallest value in d, v, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + ((39950\/(-30))\/47)\/(-2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 4 + 5 - 0\/(-1). Suppose -p*g + f - 27 = 0, 0 = 6*g - 3*g + 5*f + 26. What is the nearest to -2\/7 in 1, g, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -142.958 and -32475?\nAnswer: 32332.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 252, -7, -555, -3, -6 in decreasing order.\nAnswer: 252, -3, -6, -7, -555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Suppose -37*l + 32*l + 10 = 0. Determine m(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*y + 20*y. Which is smaller: y or 1\/100?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2 - 10 = 0. Suppose 0*s + p*t = s - 417, 5*s = 3*t + 2071. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 5*o + 479, -89*o - 104 = -k - 93*o. Is 58 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6449834 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6168327 is divided by 284?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 9*n - 8. Let o be r(10). Suppose 4*h = -2*f + 3*f - 12, 2*h = -o*f - 6. Let p be ((-8800)\/12*h)\/(-1). What is p rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 80925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95250453*a**5 - 32*a**2 - 168558*a - 8?\nAnswer: 5715027180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40304004 + -1003?\nAnswer: 40303001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g**3 - 80*g**3 - 1 + 2.\nAnswer: -135*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h. Suppose -5*p - 4 = -3*l, -4*l - 5*p = -2*p + 14. Let b be (18\/27)\/(l\/3)*0. Determine d(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 22*y**2 - 49*y + 626. What is the hundreds digit of j(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17140 + 3.2993\nAnswer: -17136.7007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 33321122?\nAnswer: 33321113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - v = 25, a = -3*v + 8743 - 8802 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 6*k**2 - 1. Let g be s(-6). Does 9 divide ((-231)\/(-28))\/(3\/8) - g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10184 - -10190. Solve 4*f = -5*x + 6*x - 14, -x + k = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + z = -4*z + 8, 0 = -p + 3*z - 9. Solve 4*b + 5*m + 1 = 0, 2*b + 3*m = p*b + 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43442362*b**3*q**2 - 148*b**2*q**2 - 3*b**2 + 58*b*q**2 + 94*b*q + q**2 wrt b.\nAnswer: 260654172*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1901 - -1901.5. Which is the third smallest value? (a) 0.1 (b) i (c) -0.5 (d) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2945453536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - ((-3 - (2 + -6 + -8)) + -18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -6*z**4\/5 + 58*z**3\/5 + 18*z**2 - 18*z\/5 - 44\/5 = 0?\nAnswer: -1, 2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6075 = 7*o - 12*o. Suppose 310 + o = 5*a. What are the prime factors of a?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4787619 nanometers in meters?\nAnswer: 0.0000000004787619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 0.5 (c) 1 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/3 - 3*u**2. Let v(p) = -4*p + 2*p + 4*p. Determine 2*n(m) - 9*v(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 1 k when three letters picked without replacement from {k: 5, x: 5, a: 1, m: 2, g: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 629026 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6102 + -3425. Let j = -29496\/11 + u. What is the common denominator of j and -53\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 2:11 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 17 = -4*l, 5*l + 0 - 4 = -2*g. Let i = 2 - g. Put i, 1, 2 in ascending order.\nAnswer: 1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((165\/99)\/((-40)\/(-96)))\/(2\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1519 - 1519.5. What is the third smallest value in g, 2\/3, -0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(sqrt(2299) + -2))**2*-5 + -4 + sqrt(1216)*2 + ((sqrt(152)*1 - sqrt(152))\/sqrt(8))**2 + -4.\nAnswer: -415108 + 10576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -9*d**2\/2 - 3*d - 40. Let p(g) = -g**3 + 8*g + 29. Let l be p(4). Calculate r(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/20 + 1)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l - 254 = 78*d - 79*d, 0 = -2*d - l + 6*l + 76 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:11 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q**2 + 13*q**2 - 23*q**2. Let w(o) be the second derivative of 2*o**3\/3 - o. Determine w(l(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -57 (c) 0.2 (d) 0.1 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1255, -2039, -2823, -3607?\n\"Answer: -784*v - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from mggm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 551028, 551035, 551056, 551097, 551164, 551263, 551400, 551581?\n\"Answer: g**3 + g**2 - 3*g + 551029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*n + 16, -4*m + 55 = n - 39. Let y = m - 23. Let i = -3\/29 - 17\/116. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311687788 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2409039819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2241329.\nAnswer: 107, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 738 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: Is 410 a factor of 391940320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -4\/19 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 6523.626.\nAnswer: -6518.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205*f**2*m - 3*f**2*t**3 + 6*f*m*t**3 with respect to m.\nAnswer: -205*f**2 + 6*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -334545 or -334547?\nAnswer: -334545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3508554 + 117?\nAnswer: -3508436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 11 + 11)*(-3 + 3 - 13 + (-4 + 1 + 1)*(4 - 4 - 3)).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7020 divided by -27\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.07, 8, -0.2 in descending order.\nAnswer: 8, 3, -0.07, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.21 or -0.1788417?\nAnswer: -0.1788417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(1539)*-2 + 3 + 3*sqrt(1539) + 3 + 2))**2.\nAnswer: 2106*sqrt(19) + 15372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 8*v**2 + 4*v - 12. Let d = 16 - 13. Suppose 0 = b - 2*w + d, 21 = -4*b + 2*w + 3*w. Calculate the remainder when g(b) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -32*x**3 - 1. Let n = -22 - -21. What is the tens digit of o(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*a**2 + 2068*a**3 + 4 + 9*a**2 - 76 + 17*a**2 + 9*a**2 wrt a?\nAnswer: 12408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 1 = -11. Solve -2*q - 2*c = -3*c + 1, -c - i = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205516 and 50572?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 1, f: 2, r: 1}. What is prob of picking 1 r and 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/(-135)*4\/(-1)*(-15)\/(-3).\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 6*x - 3. Let u be i(-6). Let t be (-89)\/u - 2\/(-6). Suppose -5*s + m + 3*m + t = 0, -s = 5*m - 6. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -201101221220110?\nAnswer: -201101221220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5))**(-3\/35)\/(((l**(1\/4)*l)\/l)\/((l\/(l\/(l**13\/l)*l)*l)\/l)) assuming l is positive.\nAnswer: l**(7537\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9842000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2777*x + 14527. Determine l(-5).\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*o - 181613 = 139*o - 482395. What is the remainder when o is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1000?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a - 4. Determine t(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -20*a - 123. Calculate z(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-784)\/30*(-113640)\/30304?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*v + 6 = 0, -v + 20 = -5*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77512659 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -22. Suppose c*z - 14 = -z. Let g(p) = -2*p - p + z*p. Let k(a) = -8*a. Determine g(k(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -4950.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 1\/4*b**4 + 5\/2*b**2 + 0 - 1\/20*b**5 - 2*b + 1\/3*b**3. Let k(m) = -m**2 + 4*m + 81. Let x be k(11). Give z(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (74 - 143 - -134) + -29?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/7 - 24*d\/7 - 40\/7 = 0. What is d?\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1270)\/96*(68\/(-20) - -3) and 61\/39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*p + 2, 9*k - 12*k - 4*p + 21 = 0. Put k, 3, 4, 5 in descending order.\nAnswer: k, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 3 - (-25 + 58 + -8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (5 - 4) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 817857.472 rounded to the nearest 10?\nAnswer: 817860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 3. Let a(w) be the second derivative of -w**4\/12 - 11*w**3\/6 + 29*w**2\/2 + 4*w. Let t be a(-13). Calculate c(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, u: 1, q: 1, v: 6}. Give prob of picking 2 u and 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {t: 2, k: 1, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let w(k) be the third derivative of 0*k + 0*k**3 + 1\/20*k**5 - 2*k**2 + 0 + 0*k**4. Determine y(w(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -605143, -605144, -605145, -605146?\n\"Answer: -k - 605142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6805675433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/10297 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3289 by 10.\nAnswer: 3289\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13064 + -1?\nAnswer: -13065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 1\/9, 0.04 in decreasing order.\nAnswer: 2, 1\/9, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 9:05 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 6\/13, 2\/17, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -441 + -14033104?\nAnswer: -14034100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 17, j: 2}. Give prob of sequence aa.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let l = x - -6. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -25533?\nAnswer: -25527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*p - 14 = 2*p, -2*p - 2 = 0. Let h(m) = 2 + 6*m + 9 - 2. Let g(l) = -4*l + 11*l - 139 - 5*l + 71 + 71. Determine j*h(w) + 8*g(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 4*n - 2. Let d be h(-2). Suppose -d*t + 15 = -9. Solve r - 4*i = -8*i - t, 12 = -3*r + 2*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3398*u**2 + 3339?\nAnswer: -6796*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/114875 and -13\/91900.\nAnswer: 459500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n. Let l(y) = -29*y - 8. Let c(d) = 10*d + 3. Let s(v) = 8*c(v) + 3*l(v). Determine u(s(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/78798720 and 113\/112320.\nAnswer: 709188480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 2*j + 0*j**2 + 1\/30*j**4 + 0 + 0*j**3. Suppose i(a) = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 9) to base 6\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + -2*sqrt(190))*-6 + sqrt(190))\/(2*sqrt(640)) + 3.\nAnswer: 7*sqrt(19)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 + 219 = -5*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*-1*2\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6132073 is divided by 2044004.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 923*q**2 - 2*q + 3. Let n(a) = -1813*a**2 + 5*a - 6. Give -2*n(t) - 5*u(t).\nAnswer: -989*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 11. Let k be 2 - (-6)\/j*3. Suppose k = -4*o + 3*q + 389, -377 = o - 5*o - q. What is the greatest common divisor of 38 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*t - 3. Suppose -3*f - 25 = -t*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, k: 1, u: 8, f: 2, v: 2, i: 1}. What is prob of sequence iu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Let f = -11092 + 11094. What is the second biggest value in f, t, 0.7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 8 = 0. Suppose 0 = -h*q + 4*q + 4. List the prime factors of (-3 - (q - -1)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/(p\/(((p\/p**0)\/p)\/p)))**21*(p**(-6)*p**(2\/9))**(1\/2) assuming p is positive.\nAnswer: p**(-1349\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51136 and 70176?\nAnswer: 6596544","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 56041585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, w: 1}. What is prob of picking 1 w and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 7. Let u(m) = -m**2 + 7*m + 3. Let o be u(8). Let c = o - g. Calculate the highest common factor of 65 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {k: 3, a: 2, w: 6, l: 1, c: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11052 and 486?\nAnswer: 298404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.8395369 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + 4 - -5 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(12)\/(sqrt(1008)\/sqrt(7)))**2 - -2*(sqrt(3) + (sqrt(1188) + sqrt(33))\/sqrt(11) + sqrt(3))**2*5)*-1.\nAnswer: -29101\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*z + 10 = 0, 0 = 3*v - 0*z - z + 22. Let u(n) = n**3 + 6*n**2 - 2*n - 1. Determine u(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/1*((-12)\/(-6) - 4). Let p = w - 49. Let x(f) = -547*f**2 + 6*f - 6. Let y be x(p). Round y to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, y: 2, r: 4, q: 2}. Give prob of sequence rz.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*o**4 - 1962*o**2 + 657570*o.\nAnswer: -132*o**2 - 3924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72428, 72632, 72828, 73016?\n\"Answer: -4*y**2 + 216*y + 72216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 9. Let s be (t\/(-5))\/((-6)\/30). Are 1 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -47. Let v be 655*(48 - 1) + -1. Suppose 10784 - v = f*b. What is b rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 742 divided by -106\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -8*x + 39. What are the prime factors of (-92)\/(-2)*49\/(-42)*x?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 6. Let y be j(9). Suppose -y*h - h = 0. Suppose 28 = 3*s - 4*u, h = s + 2*s + 5*u - 46. Calculate the highest common divisor of s and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 318\/11, 1\/6, -718, 2\/9?\nAnswer: -718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 462*x\/5 - 463\/5.\nAnswer: (x - 1)*(x + 463)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24606553 and -3?\nAnswer: 73819659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 20*q + 3*q)*(2 - 6*q**3 + 11*q**3 - 19*q**3).\nAnswer: -392*q**4 + 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + -11. Let i = 109.99933 + d. Round i to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 1:55 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 7:35 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19071493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**3 + 14*f**2 + 64*f + 331. Give w(-6).\nAnswer: -1709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70276 is divided by 2807?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -131.\nAnswer: 131.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-78) + (-41)\/(-13). Solve 2*o = o - p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 143\/1890 or -6?\nAnswer: 143\/1890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -33*z + 2. Determine l(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3964.0407 rounded to the nearest integer?\nAnswer: -3964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3761 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 105. Suppose 5*d = -4*i - 24, i = d + 6*i + v. Put d, -0.4, -6, 0.5 in descending order.\nAnswer: 0.5, -0.4, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 13484.3 to the nearest ten.\nAnswer: 13480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6*q + 180. Let l = q + 51. Let a be (2 - -3)*6\/5. Calculate the highest common divisor of a and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, k: 6, h: 4}. Give prob of picking 1 d and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 2*j + 127, 5*j = -3*q + 113. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = -c - 5*r, c = 3*r + 5. Suppose c*o - 10*o = -5. Is ((-5)\/(-10))\/(o\/66) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 3292706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**6\/120 - q**5\/60 - q**4\/12 + q**3\/6 - 9*q**2. Determine y(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 10:20 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -34.2. Put 0, -7, b, 4\/7 in descending order.\nAnswer: 4\/7, b, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.52 * 0.2.\nAnswer: -0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((3399\/(-206))\/(6\/8))\/1)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 578, 853, 1158?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 3, t: 5, q: 1, y: 5, k: 5}. What is prob of sequence wt?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {g: 5, o: 7, r: 3, n: 4}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - 15. Let o be 2 - (-39)\/(-9) - -3. Let z(r) be the first derivative of 0*r**2 - 8*r - 2 + o*r**3. Determine 6*f(w) - 11*z(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**4\/4 + d**3\/2 - 3*d**2 - 53*d - 2. Factor r(x).\nAnswer: 3*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -96 + (162 - 62)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - (-518)\/(-42))*120*(-362)\/4.\nAnswer: 2, 5, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1643653ns?\nAnswer: 0.0000000001643653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 3*n - 5*n)*(-3649 - 1166 + 878) to the form x + v*n and give v.\nAnswer: 7874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3.9, -0.3, 114, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*r, 2*r = -2*r + 2*y - 14. Let j = 9 + -4. What is the biggest value in j, -4, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10928 divided by 16?\nAnswer: -683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 0 + 1 - -3. Suppose c = -2*t, t + 3 = 2*z - 12. Suppose -4 = 5*f + 21. Sort -4, z, f.\nAnswer: f, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 + -1.6. Let o = 0.1 + -0.3. Let q = o - 0.2. Which is the third smallest value? (a) x (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 273*c + 7383. Let y be t(-27). Solve 5*w = -z + 7, -7*w + 2*z = -4*w - y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {z: 7, m: 7, y: 1, d: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**5 + 18594*r**4 + 111669*r**3 + 18684*r**2 - 446736*r + 297792 = 0. Calculate r.\nAnswer: -4, 1, 6204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-4) + (1 - (-120)\/(-57)). What is the fourth smallest value in 0.3, -2\/15, z, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 2\/3, -1\/6, 2, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 174, 188, 210, 240, 278?\n\"Answer: 4*p**2 + 2*p + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 122, 203, 296?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(11\/66)\/((-10)\/(-36)). Let b(n) = 3*n**3 - 2*n**2 - 7. What are the prime factors of b(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c74b8 (base 14) in base 3?\nAnswer: -1220202202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/((8610\/(-245))\/(-82)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e7 - -1e38?\nAnswer: 2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let k(r) = r**2 - 11*r + 15. Let u(i) = k(i) - 3*y(i). Let j be u(8). Let q = 54 + j. Calculate the lowest common multiple of 1 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + ((0 + 1 + sqrt(272))*5 - (2*sqrt(272)*1 + 2)))*-4)**2.\nAnswer: 1920*sqrt(17) + 39568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, -44, -108, -208, -356?\n\"Answer: -2*t**3 - 26*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1835473 is divided by 13300.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2182865*w**4 - 523355*w + 2 wrt w?\nAnswer: -26194380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -22499*r + 2. Suppose -72 = 4*a - 24. Let c be 1\/((-3)\/a*-2). Let x be s(c). Round x to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from wwwvwlwvwwwjjwvlvlw.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2458 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o + 5*l - 10683 = 26*o, -5*o + 5*l = -13320. Round o to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 > 925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*t = -1568, -5*o = 5*t - 984 - 2896. What is the tens digit of 4\/26 + 102060\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d = -8469 + 8025 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29453.0099 + 29433.5. Let r = 100.5489 + x. Let j = 81 - r. What is j rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76539?\nAnswer: 3, 31, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -3)*(-1)\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*h - 2*h + 7*h)*(-74 + 74 + 13*h).\nAnswer: 468*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -75, -5, -6, -142, -4 in decreasing order.\nAnswer: 3, 0.3, -4, -5, -6, -75, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {d: 3, o: 1, f: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {m: 14, o: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-11 + 2) + -1. Let n be 842\/14 + (-100)\/700. Let u = x + n. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*x + 9*q**2 + 14*q*x + 2*q + 35*x - 78 with respect to q.\nAnswer: -2*q*x + 18*q + 14*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6274.605 weeks in minutes?\nAnswer: 63248018.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06766 + 0.87494. What is u rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 14*p**2 - 10*p - 9. Let z be g(-6). Let n = 239 + z. Calculate the smallest common multiple of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.8 + -58.4. Let f = b + -53.85. Let t = f - -120. What is t rounded to one dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5\/b**(1\/3))\/(b**(-1\/8)*b*b*b*(b\/b**(-8))\/b))\/(b**6*b**(5\/3)*(b**(-1)*b)**(-5\/6)) assuming b is positive.\nAnswer: b**(-111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**12*q)\/((q**(-15\/4)\/q)\/q)*q**(2\/121)\/(q\/q**45) assuming q is positive.\nAnswer: q**(19247\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/4 - 15*f**4\/4 - 25*f**3\/2 + 125*f**2\/2 + 19*f. Find s such that o(s) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.23, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5386, 21512, 48392, 86026?\nAnswer: 134414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/135*-115 + -9 and -10\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2. Let z(q) = 76*q**2 + 587*q. Calculate z(r(t)).\nAnswer: 1216*t**4 + 2348*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c + 114 = 33*c. Let j(g) = 259*g**2 + 77*g + 77. Let k(i) = 20*i**2 + 6*i + 6. Determine c*j(o) + 77*k(o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*m*o**2 + 331388*m*o + 14*o**2 + 933563*o wrt m.\nAnswer: 32*o**2 + 331388*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4726.\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -25*j**2 + 11*j + 3. Determine z(-2).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/5 - 426*x\/5 - 45369\/5 = 0. What is x?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 28 - 8. What is the highest common divisor of a and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**5 + 13*m**4 - 487*m**2 wrt m.\nAnswer: -120*m**2 + 312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114877.\nAnswer: 7, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-82.94\nAnswer: -8.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 49. Let d be b(0). Let o be 4*(-3)\/((-30)\/5). List the prime factors of o\/(-7) - 161\/d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/8 + 1)\/((24638\/(-388))\/(-127)).\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:55 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 0*i - 4*i)*(-222 - 217 + 209 + 10*i - 24) as s + z*i + q*i**2 and give z.\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13510.6777 - -13510. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-54)\/39)\/(2 + 108\/(-52)). Solve -14*x = b - 102 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + -21 - -3) + 27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 11116?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18341614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1 + 0 + m - 2*m. Let k be h(-2). Let u(t) = 2*t - 31. Let l be u(16). What is the nearest to -0.1 in 1\/4, k, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 4*f**2 + 4*f - 4. Let c(r) = 4*r**2 + 0*r**3 + 2*r**2 + 11*r - 11 + 5*r**2 - 3*r**3. Give 11*a(t) - 4*c(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3\/3 + 2866030*m**2\/3 - 2866025*m\/3.\nAnswer: -5*m*(m - 573205)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 2338971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 227, -32, 8 in ascending order.\nAnswer: -32, -2, 8, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-3) + 6\/(-18). Suppose 0 = k + r*l - 4846, -5*k = -14*l + 11*l - 24314. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 16 = 0. Suppose p + 0 = 2*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 74320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*b**2 + 7*b**2 + 2*b**2)*(1 + 0 + 0) + 0*b + 0*b + b**2)*(-1 + 1 + 4)*(4 - 1 + 0) in the form d + s*b + a*b**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 1622*k**3 + 2*k + 0*k.\nAnswer: 1622*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*b = 695*b + 8640 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 704090673 to the nearest integer?\nAnswer: 26535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 - 13*g - 19. Suppose 5 = m + 12. Let o be v(m). Suppose -2*q = 5*u - 4*q - o, 3*u = -q + 238. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 4. Let g(b) = 2*b + 9. Let x be g(-6). Let c be f(x). What is the second smallest value in c, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2*x + x - 6*x) + x + 3*x - 3*x + 0*x + 2*x - 3*x + (-138 - 21 + 31)*(0 - 2*x + 0) + (x - x - x)*(-3 + 5 + 0).\nAnswer: 251*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1)\/(12\/8). Let f(c) = -5*c + 5 + p*c - 16 + 0*c. List the prime factors of f(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= -7968351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*x**2 + 0*x + 0 - 363\/4*x**3.\nAnswer: -3*x**2*(121*x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from yjfefijfiefye.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a624 (base 12) to base 7.\nAnswer: -2540542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48162737699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/45)\/(2\/(-5)). Let i = 3 - 3.2. Let o = i - -0.5. What is the closest to -0.1 in o, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3389839 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixteenths of a day?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - -23. Let k be 1\/(1\/b) - 1. Let u = 23 - 16. What is the greatest common divisor of k and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 119 + 5*j**2 + 4*j + 2*j**3 - 2\/5*j**5 - 1\/2*j**4. Let y(w) = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102300021 (base 4) to base 9.\nAnswer: -565854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - 10*q - 6*q**2 + q**2.\nAnswer: 2*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 1. Let v = 25\/406 + 13\/58. Let h = -0.3 + 0.2. What is the third smallest value in h, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/85*5\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 5. Let c be b(-3). Let a(o) = 4*o. Let h be (1 - 0)*0 + 1. Let r be a(h). Solve 0 = 3*q + c - r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100.4 and 0.52254.\nAnswer: -52.463016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, p: 5, h: 4}. Give prob of picking 1 p and 3 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9 + 3*p + 3 - 12 - p**2. What is b(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*6\/8)\/((-9)\/252*12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5716 divided by -24\nAnswer: -1429\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2612 divided by -2.\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*f + 2 - 1878*f - 3 + 2 - 1005*f to the form o + m*f and give m.\nAnswer: -3005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006379 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 5:31 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 192423 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: Sort 0, 12, -41, 207, -5 in increasing order.\nAnswer: -41, -5, 0, 12, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*m - m**3 + 140*m - 8.\nAnswer: -m**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, y: 1, w: 2, c: 1}. Give prob of sequence sy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)*((-28)\/(-4) - 4). Let y be (-1)\/(4\/(-5) - -1). Let o be 1\/(9\/y + 2). Put b, o, -4 in descending order.\nAnswer: o, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142172176.\nAnswer: 2, 8885761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.33 - 0.23. Let y(w) = -w - 7. Let j be y(-5). Which is the nearest to 5? (a) -0.4 (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4610412 divided by -4?\nAnswer: -1152603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 - 4*b - 4*b**3 + 2*b**3 - 2*b**3 - 2*b**2 + 2*b**2 + (b**2 - 4*b + 4*b)*(0 - 2*b + 0).\nAnswer: -3*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from ceeceeoteecteeecetec?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 13, 29, 61, 115, 197?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)\/h**(-7))**(-1\/21) assuming h is positive.\nAnswer: h**(-23\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2308 - 2305. Solve -2*f = -2*z - 12, 3*f = -n*z - 0*f - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 54 + 190. Suppose 0*h**2 + h + y + 0*h**2 + h**2 - 81 = 0. What is h?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taa when three letters picked without replacement from ttkkkakkkkkak.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.9398611 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 35*w + 594. Let l be o(-47). Calculate the highest common divisor of 345 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 2001212110?\nAnswer: 2001212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-1)\/6)\/(3\/6))\/(346\/(-2076)). Solve -4*k = -4*v + 8 - 16, 0 = u*v - 3*k + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 1540094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -65220 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 338*m - 81. Let v be c(11). Suppose 5*t = -v + 10442. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -395 - -289. Let h = 105.99604 + p. What is h rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 6*b - 4508. What are the prime factors of (15\/10)\/((-1285)\/b + 2)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2382*z + 635. Is x(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2849200 rounded to the nearest 10000?\nAnswer: -2850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 139*j**2 + 428*j**2 - 164*j**2 as n*j + h + i*j**2 and give i.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + ((-16)\/10)\/((-12)\/30). Suppose 3*v - h*a = 14, a + 9 = -3*v - 1. Let j(p) = 4*p + 3. Determine j(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1153.4 (c) -1.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 3694641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/35*(-2540)\/(-1524).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 476 divided by 14\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -31 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*l = -13, g + 3*l + 6 = -2*g. Let o = 723 - 718. Sort g, 8, o.\nAnswer: g, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -1.6 (c) -36 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 - 28460*o + 567200 = 0.\nAnswer: 20, 5672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**9\/126 - x**5\/30 - 8*x**2. Find the third derivative of h(r) wrt r.\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**4\/7 - 108*s**3\/7 + 111*s**2\/7 = 0.\nAnswer: -37, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(170) + sqrt(170))*5)\/(sqrt(70)\/(sqrt(7)*2) - sqrt(10)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44\/7? (a) 2 (b) -4.7 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 176*r + 6186*r**3 - 3*r**2 - 6188*r**3 - 2 + 1 in the form p + j*r**2 + v*r + h*r**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9941093 to the power of 1\/2, to the nearest integer?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19094*d + 11 - 2*d**3 + 19094*d - 22 + 11.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003206 rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.539 - 96.799. Round k to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74450000 rounded to the nearest 1000000?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-772)\/(-54))\/(2\/3). Let v = g - -8\/9. Calculate the common denominator of v and 51\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-4)*t*t)\/(t\/t**(1\/6)))\/((t*(t\/(t*t**(-2\/11)*t))\/t)\/(t**(2\/11)\/t*t)))\/(t**4*t**(-4\/7)\/t*t**(2\/9)\/(t**(-1\/6)\/t)) assuming t is positive.\nAnswer: t**(-356\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 43*y. Let p = 13555 - 13544. Let v(m) = -22*m. Calculate p*v(r) + 6*h(r).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8679 - -2.8679. What is the nearest to u in 7, -4, 0.5, 1\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o - 22 = -w, 4*w + 17 = -5*o. Let t = 0.15 + -1.25. Let x = 1.1 + t. Which is the nearest to x? (a) w (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 2*p**2 - 11\/120*p**6 + 0*p**4 + 0 + 0*p + 1\/3*p**3 + 0*p**5. Differentiate n(y) wrt y.\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 97 = -5*p, 4*u = -5 + 1. Suppose y = -4*y - 2*j - 15, 4*y - j = 1. Let m be 23 - y - (-3)\/(-5 + 8). Solve -4*n - n = m, -p = -3*o + 2*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 1. Let g(h) = 0*h - 9 + 5*h + h - 4*h + 18. Let p(q) = d(q) + g(q). Calculate p(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**5\/120 + b**4\/8 + 2*b**3\/3 + 1. Let d(j) be the third derivative of m(j). Calculate d(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 + -2146999576?\nAnswer: -2146998915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8925*t**3*u**2*x - 20*t**3*x - 41*t**2*u**2*x - 4*t**2 - u**2*x - 2*u*x - 3*u wrt t?\nAnswer: 53550*u**2*x - 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 36. Determine g(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5398 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1488023475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - m**3 + 5*m**3)*(-m**2 - 2*m**2 + 2 - 3) - 2*m**5 + 0*m + 0*m.\nAnswer: -20*m**5 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*n**4*u + 21970*n**2*u + 3700574*u wrt n?\nAnswer: -16*n**3*u + 43940*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*q - 4 = -14, -2*y - 4*q - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -92809 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 9 (b) 5 (c) 2 (d) -0.04 (e) 50 (f) -1 (g) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -152, -421, -870, -1499, -2308, -3297, -4466?\n\"Answer: -90*s**2 + s - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 40*q - 4 - 80*q + 42*q. Let l(s) = s - 1. Suppose 8 = -4*f - 4*c, c - 4 = -c. Let j = 57 - 56. Calculate f*l(p) + j*g(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 + 895*d**2 - 46450*d + 611000 = 0. What is d?\nAnswer: 20, 65, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 232, -1.43 in decreasing order.\nAnswer: 232, -0.5, -1.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*d**2 - 4573*d + 4573*d)*(-1 + 2 - 4).\nAnswer: 150*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -3.1. Let u = -1 - t. Let z = -1.2 - -1.5. What is the closest to 0 in u, -1\/4, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 6*a**2 + 8*a - 7. Let g be s(7). Suppose 7*m - 4*m - 30 = g. Let p = m - 5. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-66))\/(6\/39)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2712479\/4 or -678120?\nAnswer: -2712479\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19337 or -135369\/7?\nAnswer: -19337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45880378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(128))**2 + sqrt(72) + 0.\nAnswer: 6*sqrt(2) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -2.322?\nAnswer: 0.4644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 30. Suppose -6\/5*a**2 + 0*a + l*a**3 + 3\/5*a**4 + 3\/5 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 0.03. Let j = d - 5. Let q(b) = b**2 + 5*b + 4. Let h be q(-5). What is the nearest to 1 in 0.5, j, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**8\/6720 - w**6\/360 - w**5\/60 + w**4\/4 - 2*w. Let t(b) be the third derivative of u(b). Suppose -x - 1 = 1. Give t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31529\/6 - -5268. Let u be (-6)\/33 - (-4)\/22. What is the common denominator of (u + 1\/2)*-87 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19293, -19313, -19345, -19389?\nAnswer: -19445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263*9 - (-170)\/(-187)*-11 is divided by 1186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -42. Let c(a) = a**3 + 5*a**2 + 3*a - 4. Suppose x + x + 6 = 0. Let m be c(x). Solve q + 4*d = 25, m*q + 0*d - 15 = y*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5072 (base 9) to base 10.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -110434 and 971.\nAnswer: -109463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14832*k = 14802*k - 480 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:58 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:58 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i**2 - 5. Let b(h) = 19*h**2 - 11. Give -4*b(o) + 9*q(o).\nAnswer: 14*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45.14 and -0.1.\nAnswer: -4.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 7, p: 1, l: 11}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3 - 78961570*x**2 + 779366231588896*x - 779366152627328 = 0.\nAnswer: 1, 19740392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**3 - 2*r**2 - r - 1. What is the units digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 11:23 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1034, -1045, -1070, -1115, -1186, -1289?\n\"Answer: -c**3 - c**2 - c - 1031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 863.9 from -367549.6.\nAnswer: -368413.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**2 - 19*z**2 + 3*z**2 + 37*z**2 + 4*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136878502.\nAnswer: 2, 3929, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 7*m**2 - 14*m - 4. Let f be k(-4). Suppose 14 = 5*q + f. Put -2, 5, -25, q in ascending order.\nAnswer: -25, -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173461\/7028067 + 53\/3911. What is the common denominator of q and -41\/33?\nAnswer: 19767","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9451?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23548, -23541, -23524, -23491, -23436, -23353, -23236, -23079?\nAnswer: -22876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 5*p**2 - 7*p + 9. Let y be s(6). Suppose 4*t - 26 - 22 = 4*b, 3*b + 40 = -t. Let n = b + 11. Put -3, n, y in ascending order.\nAnswer: -3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*a - a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*n + 4*n - 7 = 0, 0 = -5*y + 4*n - 25. Let m = y - -2. Calculate the common denominator of -5\/16 and 3*(m - (-131)\/(-48)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03999917 + -0.04. What is i rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 7*m**2 - 4*m + 3. Suppose -3*h - 26 = 1. Let c be 9\/((-275)\/198 + 1\/h). Give r(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18653786 is divided by 1503.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:58 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 3 + -21 - (-2 - -9) - (6 + -18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2100\/27 - (-12)\/54?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -39. Find the third derivative of -185*x**2 - 3 + 9*x**5 + 3 + 0 - 16*x**3 - 109*x**d wrt x.\nAnswer: 540*x**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 9 - 1. Is (-47 - 0)\/(0 - r\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6687? (a) -4 (b) 19 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -3119?\nAnswer: -3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bdd (base 15) in base 13?\nAnswer: -5aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 285*n - 131*n - 42*n - 140*n + 10 in the form r*n + z and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f. Suppose m = -7 + 9. Suppose 2*q + m*y - 32 = 0, 4*q + 3*y + 2*y - 66 = 0. Let h(n) = -q*n + 14*n + n**2. Calculate d(h(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u + 1 - 7 - 2*u**2 + 3. Let d be p(-2). Let l be 4*(d\/2 - -2). What is the highest common divisor of l and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-20 - (18 + 0))) + -18?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*1)\/(4*sqrt(8)\/sqrt(4)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9121861 litres to millilitres.\nAnswer: 912.1861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(72\/(-810))*(-1)\/(-20)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 22*d**2 + 3*d - 3. Let n(p) = 155*p**2 + 20*p - 20. Calculate 3*n(i) - 20*r(i).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 63\/(-36) - 6\/(-8) - -4. Let v be z\/(-9) - ((-56)\/6 + 2). Let s = v - -6. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 526212 and 293100084.\nAnswer: 293100084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**1*u)**(-24\/11)*(u*u\/u**(2\/3)*u)\/u**(-5) assuming u is positive.\nAnswer: u**(-118\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/9 and -82\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*l + 30*l + l**2 + 1 - 69*l + 22*l in the form m*l + j + z*l**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Calculate the highest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -1192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) -0.09 (c) 0.1 (d) -0.3 (e) 387 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a + 7. Let x(z) = -351*z + 693*z + 7 - 347*z. Determine -2*j(f) + 3*x(f).\nAnswer: -3*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 201*z. Let t(g) = 6*g. Let u(n) = 2*i(n) - 66*t(n). Let r(s) = 81*s**2 + 2. Calculate u(r(m)).\nAnswer: 486*m**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 2*o - 7. Let p be q(5). Let t(w) = 13*w + 24. Let s be t(p). Let a = s - 113. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.4 + -51.6. Let l = -8 - k. Let c = 60.000000184 - l. What is c rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8544953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) -4 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + o**2 + o + 5. Let q be y(0). Suppose u + 14 - q = 0. Is 15 a factor of (-5)\/((3 + 0)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 15. Suppose x = -3*i - i + 8. Which is the closest to 1? (a) i (b) -1\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*o**4*t**3 - 795*o**4*t - o*t**3 + 85460*o wrt o?\nAnswer: 204*o**2*t**3 - 9540*o**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*y + 12 = -325*y. Solve -14 = 3*a - 6*a + y*d, a - 23 = 5*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:13 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 4. Let a(m) = -24*m - 5. Give w(a(t)).\nAnswer: 24*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 248, 498, 746, 992, 1236?\n\"Answer: -k**2 + 253*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 7:55 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1 = 3*r, -2*i + 3*r - 8 + 21 = 0. Suppose -2*o - i = m, -2*o = -6*o - 5*m - 10. Let a be -1 - o - (-1 - -200000). Round a to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003579 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2592 = -111*q + 107*q, 0 = -4*q - 3*w + 2593. What is the greatest common factor of 22 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/6)\/((-14)\/190701*9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*z, -16 = -5*c + 4*z + 15 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52459175\/12 - 4374441. Let g = r + 2835. Find the common denominator of g and 185\/(-50) - (-1 + -3 + 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 319?\nAnswer: -319.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3*i + 654275*b**3 - 5*b**2*i + 290*b*i - 128*i wrt i?\nAnswer: -b**3 - 5*b**2 + 290*b - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153252 + 852*h - 3566*h**4 - 210*h - 153252 wrt h?\nAnswer: -42792*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2214, -2070, -1632, -738, 774?\nAnswer: 3066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/k**(-2\/3)))\/k*k)**32*(k\/((k\/(k\/(k*k\/(k*k\/(k*k*k**(1\/9)*k)*k)*k*k*k)))\/k))\/(k\/(k**(-1\/2)\/k)) assuming k is positive.\nAnswer: k**(-1061\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/685?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 11:20 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2207 is divided by 203?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0695988955 rounded to three decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g - 3. Let s(m) = -2*m - 2. Let q(o) = -5*s(o) + 3*v(o). Let p(a) = 1. Let t(u) = p(u) - q(u). Let w(h) = 5*h. Give w(t(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 17*z**2 - 15*z - 11. What is q(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150484*l**5 - 72*l**2 - 78*l + 7.\nAnswer: 9029040*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1881425 is divided by 7872?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-18))\/((-2)\/15)*2196\/(-1464)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 0)\/(24\/(-4)). Which is the closest to 0? (a) 2 (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66897 divided by -22299.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 - 82. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189212161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 1227261.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 387037302235501*h - 387037302235501*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.8 * -52.\nAnswer: 301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 5\/24*o**4 - 8*o**2 + 0*o - 1\/60*o**5 + 0 + 1\/6*o**3. Let c be n(5). What is the greatest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -b + 21, -4*b + 2*b + 4*i = -34. Suppose 4*c + b = 7*c. Suppose -56*w**2 - 4*w**4 + c*w**4 + 55*w**2 + 2*w**3 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.7 - -0.7. Let p = -11 - -5.2. Let l = p - j. Which is the biggest value? (a) l (b) 4 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61994 + -3.9286591.\nAnswer: 61990.0713409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-16)*8)\/((-1)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.195, 5, -53.7, -0.7?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**3 + s**3 + 3*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8254550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j**2 + 1 + 0 - 1.\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001973 to 7 decimal places.\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-4 - 0)\/1)*-1. Is 1\/39 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 106418.\nAnswer: 6\/53209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 48. Let g be x(0). Suppose -11*j + g = -5*j. Let l be (1\/(-2) - -1)*4. Sort j, l, 0 in decreasing order.\nAnswer: j, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511938857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 3. Let g = 28 + q. What is the closest to -0.1 in -1, 5, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -49034438.53 and -0.3118.\nAnswer: -49034438.8418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00213548262 rounded to 6 decimal places?\nAnswer: -0.002135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q + 8. Suppose 32 = 6*a + 2*a. Suppose -k + 4*s + 192 = 3*k, -a*s = 12. Let f = k + -50. Let g(v) = 9*v + 5. Calculate f*x(u) + 8*g(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let b(o) = 2 - n*o + 7 + 3*o. Let q be b(-6). Solve g + 0*w + w + 1 = 0, 3*w - q = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*r + 35 = 2*r, 3 = 3*r. Let f = s + 22. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 548.2 - 504. Let x = -44 + q. Let f be (-3)\/2*(-12)\/45. Which is the second biggest value? (a) 2 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h - 14. Let u = -26 + 34. Let b be i(u). What is g in -51*g + 3*g**3 + b + 3*g**3 + 56*g + 4*g**3 - 25*g**2 = 0?\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + u - 31 = -34, 3*s = -2*u + 22. Let z(f) = f**3 + f - 6. Let b(k) = k**3 + k - 5. What is s*z(y) - 5*b(y)?\nAnswer: -y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 14*c**2 - 4*c + 55. Let x be p(6). What is the derivative of x - 60 + 86 + 16 + 111*j**3 wrt j?\nAnswer: 333*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 547398, 2189600, 4926604, 8758410, 13685018, 19706428?\nAnswer: 26822640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 14 - 2*f - 14 - 3. Let y(t) = 4*t + 5. Calculate 5*j(a) + 3*y(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -1\/32*c**4 + 0 - 1\/120*c**5 + 3*c**2 - 1\/24*c**3 + 0*c. Find l, given that r(l) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-8 - -4) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10349333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*sqrt(2400))\/sqrt(2) + 3 + sqrt(48)\/sqrt(4) + 6*-1*sqrt(12))**2.\nAnswer: 60*sqrt(3) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*z**2 + 199*z**2 - 402*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:54 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 + 2. Let u = -0.6 - x. Which is the closest to 0? (a) u (b) 1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-6))\/((-9)\/(-2) + -3). Calculate the highest common divisor of l and 788.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5511845 is divided by 1837247.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7693)\/(-8) + (-3)\/(-16)*2. Suppose -z = -2*h - 11*h. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*t**2)*(2*t - 2*t + 2*t**3) - 8*t**5 - t**5 - 6*t**5 + (2*t**4 - t**4 - 2*t**4)*(-46 + 46 + 9*t).\nAnswer: -20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28427393?\nAnswer: 131, 217003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3453 divide 85442903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74180075 to the power of 1\/2, to the nearest integer?\nAnswer: 8613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4890142 + 18958173. Let o = y - 23848315.10000029. Let x = o + 0.1. What is x rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89828154 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**8\/4032 + 5*g**7\/1008 - g**6\/36 - 3*g**5\/5 + g**4\/24 - 26*g**2. Let a(z) be the third derivative of m(z). Factor a(c).\nAnswer: -5*(c - 4)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 23*r - 2. Let p(i) = 20*i**2 - 45*i. Determine f(p(u)).\nAnswer: 460*u**2 - 1035*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18414 divided by -99?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*i - 3754 + 3808, -51 = 3*s - 3*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/783 and -7\/2871.\nAnswer: 8613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-6) + 10\/4. Sort 3, q, 2 in decreasing order.\nAnswer: q, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (1 + sqrt(252)) - sqrt(252)) + -3)*-6*-3)**2.\nAnswer: 15552*sqrt(7) + 86832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqii. Give prob of picking 2 q and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 16*h + 1. Let v be u(16). Find the third derivative of -41*q**5 + v + 6*q**2 + 32*q**5 - 1 wrt q.\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 413 + 219 = 0. List the prime factors of 1\/(-3 + a\/(-52)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/5 + -2)*5. Let k be 1\/(5\/(390\/6)). Is k at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 7 = 5*r, r - 2 = 3*r - 2*b. What is u in 483 - 96*u + 353 - 160 + r*u**2 + 92 = 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/8)\/b*b*b**3)\/(((b**11\/b)\/b)\/b**(-5)) assuming b is positive.\nAnswer: b**(-83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00162388 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:30 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -0.89655887.\nAnswer: 1.19655887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-414)\/(-90) + (-144)\/40 + 7 + -3 + 36.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -1.0193?\nAnswer: 1.4193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22204109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 0.72, -0.2, -0.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 9165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441 = -8*v + 449 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 2. Suppose -10 = 3*u + 4*a, -a + s - 7 = -u. Does 15 divide -1*u - (4 + -36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(-2\/17) assuming f is positive.\nAnswer: f**(-4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-234)\/8*-468 - 9?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*t + 10, 2*t + 21 = -2*w + 17. Let f(b) be the second derivative of 0*b**2 + t + 26*b + 1\/6*b**3. Let n(h) = 13*h**2 + 2. Determine f(n(q)).\nAnswer: 13*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -756 in 1\/2, 1340\/7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 6*v - 2. Let r(w) = w**2 - w - 1. Let u(l) = b(l) - 2*r(l). Let h be u(6). Solve t - h = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14543*i + 13342*i - 7475*i = -918450 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + c = -9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbbxccopopbbioppcpc. Give prob of sequence pp.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*(i*i**(-2\/9)\/i)\/i)*i**(2\/3)\/i)\/(i**(1\/4)\/i)**(-3))**(1\/3))**(6\/19) assuming i is positive.\nAnswer: i**(-49\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 - 842 = -23*t. What is the remainder when 491 is divided by t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4752) + -1*sqrt(4752))\/sqrt(3) + sqrt(66)\/(sqrt(12)\/sqrt(2)*-2))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + -1. Let q be (-60)\/18*228\/a. Let m be (q\/14 - 2)\/((-8)\/(-28)). What is the greatest common divisor of 36 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f + 5*l = -37*f - 5, 0 = -3*f - 14*l + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36305812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*o = -311*o + 2920. Suppose v - 797 - o = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1499 = -400. Let f = 1220 + k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6762 is divided by 453.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 12 - 40 - 443*n + 931*n + 70 - 495*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -64*y + 58*y. What is the remainder when y is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(sqrt(252) + (-3 + sqrt(252) + -2)**2 + (5 + -1*sqrt(252) + sqrt(252))**2)*2 + -4).\nAnswer: -9680 + 1728*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25017*1.3\nAnswer: 32522.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 139841964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152 - -2.989904.\nAnswer: -149.010096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {e: 1, p: 3, m: 2, y: 3, w: 1, l: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -55*x + 50*x, 4*o = 8*x + 4 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 20. Let l(a) = a**2 + 1. What is 2*l(c) - s(c)?\nAnswer: -c**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -73*p**2 + p. Let x be m(-1). Let n = x + 104. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -132. What is the remainder when i is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 148, 5\/9?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15 - ((-280)\/14 - 38560)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 35*b**2 - 49*b + 40. What is the units digit of a(33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from bsqwb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8270*r - 32938. Calculate q(4).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -258 times 19.2497\nAnswer: -4966.4226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*d**2 - 339*d**6 + 50*d**2 + 43*d**2 wrt d?\nAnswer: -40680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + 6*j**2 - 7*j**2 + 2 + j**2 - 2 + (3 - 2 - 2)*(-3*j**2 + 5*j - 5*j) + 1 + j**2 - 1.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 52 = 3*r - 3*b, -b - 44 = -5*r. Suppose -16*s + 17 = -143. Solve -r*l + 3*l = -s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -213\/538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-30))\/((-6)\/(-16)). Are m and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1044 + 0*r**2 + 1044 + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**4 + 59381*z**3 + z**2 - 3697002*z wrt z?\nAnswer: 12*z**2 + 356286*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2596428.9919 + 2596295. Let f = a + 134. Round f to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 2*y + 2*y + y + 0*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/17 + 22*r + 17460\/17.\nAnswer: 2*(r + 90)*(r + 97)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15\/143 - 541\/2431. Which is the third smallest value? (a) 0.5 (b) 28 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 4. Suppose w = 11*s - 7*s. Put 3, 1, s in decreasing order.\nAnswer: s, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8808 + 10027. Calculate the highest common divisor of 46 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 865 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -410112322?\nAnswer: -410112323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*5\/(-30)*(-4386)\/(-1935)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -35.9. Which is the biggest value? (a) 5 (b) -11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -34*g + 4. Let c be u(1). Let x be 12\/(-10) - -1 - 6\/c. Suppose 2\/7*v + 1\/7*v**3 - 3\/7*v**2 + x = 0. Calculate v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46622392 and 8?\nAnswer: 46622392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:46 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*b - 4255*b + 1723 = -139*b - 20705 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36960, 73937, 110914, 147891?\nAnswer: 184868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.051?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 198158 = 22*i + 31*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62310024 by 63.\nAnswer: -989048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 3*s**2 + 5*s - 9. Let p be h(3). Solve 4*r - 5*a = -25, 0 = 3*r - p*r + 5*a - 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87546 divided by 6.\nAnswer: -14591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 749290902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5027 - -6116. What is the highest common divisor of 63 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94237981097 - 94237981483.00000383. Let s = -386 - l. What is s rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = q, q = -2*o - 0*o. Suppose -3*a + 110 = -5*h, q = 3*a + 2*h - 42 - 82. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4630920451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/15*(-20)\/(-12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 834 = -402. What is the first derivative of 102 + 57 + 15 + t*h**2 + 10 + 102*h**2 wrt h?\nAnswer: 420*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = -o + 12*n + 2, 0 = 4*o - 3*n - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 27 - 12 - 11.\nAnswer: -4*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.3 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l - 60. Is l\/(-18) + (-110)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 3*n - 3. Let j be o(-4). Let m(q) = 4*q. Let v be m(j). Let i be 1\/14*v - 228\/(-84). Solve -i*s + 13 = 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (738\/(-36) - -15)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from ofnffnnnnnonf.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:29 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - -4*(-5715)\/11448)*-2)\/((-2)\/(-4))?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 49*o + 44*o + 36*o + 41*o - 216*o + 47*o. Let w(g) = g**2 - 109*g + 3*g**2 - 2*g**2. What is w(n(c))?\nAnswer: 2*c**2 - 109*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492 and 911758?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1143773*m**5 + 1056247*m wrt m.\nAnswer: -22875460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73627.32m in micrometers?\nAnswer: 73627320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-211)\/2*(-2 + -2). Is (v\/(-8))\/((-5)\/20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/24 + 378\/(-24).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**7\/210 - v**6\/6 + 5*v**5\/2 - 125*v**4\/6 + 11*v**3 - 102. Let x(t) be the third derivative of h(t). Factor x(s).\nAnswer: 4*(s - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28cd27 (base 15) in base 16?\nAnswer: 1e046c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*l + 3*s = 162*l - 81, 0 = 2*l - 2*s + 58. Which is the closest to 13? (a) 0 (b) 5\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -476.6086 less than 34.2?\nAnswer: 510.8086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-64)\/24*5448\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2266, -3 in descending order.\nAnswer: 2266, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 101, -5, -2, 0.\nAnswer: -5, -2, 0, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 15) to base 13.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + 5*sqrt(1900)*2)**2.\nAnswer: -190001 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/6546 in -12, -0.06, 2, -2\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -29*k**2. Let d(f) be the first derivative of f**3\/3 - 12. Calculate h(d(c)).\nAnswer: -29*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213049809?\nAnswer: 3, 7, 3381743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 4 - 13) + 3 + 10 + -11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*y + 74, -5*i - 24*y + 19*y - 170 = 0. Put -4, i, -1, 5, 3 in ascending order.\nAnswer: i, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-448)\/(-1120)*65\/(-6)*1?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4960683162 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - i**2 + (i**2 + 0*i**2 - 3*i**2)*(-1 - 1 + 3))*(4 - 1 - 5).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 757500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57 and 0.377673.\nAnswer: -56.622327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 2*k + j, 32 = k + 4*j - 35. Which is smaller: k or 88?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167070663 to the power of 1\/2, to the nearest integer?\nAnswer: 12926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58033693213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502162.\nAnswer: 2, 251081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*u = 19 + 4, -3*u - 8 = 4*o. Let v = 0 - o. Calculate the lowest common multiple of 6 - (1\/1)\/v and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -879.1 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4243.981 weeks to nanoseconds.\nAnswer: 2566759708800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 736, 1473, 2210, 2947?\nAnswer: 3684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f**2 + 3*f + 39. Let g be y(0). Let t(x) = g - 19 + 0*x - 2*x + 37 - 2. Let z(s) = -2*s. Calculate t(z(j)).\nAnswer: 4*j + 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2269, 2262, 2255, 2248, 2241?\nAnswer: 2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 819070 and 3290.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -89*j**6\/120 - 25*j**4\/8 + j**2 + 12. Find the second derivative of p(l) wrt l.\nAnswer: -534*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Let i be ((-21)\/(-6) - k)*4. Solve -6*t + 2 = -i*t - 2*c, -2*t = -4*c + 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 2*n + 138 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269 by -28071.\nAnswer: -269\/28071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 135*y**4 + 3*y**3 + 5*y - 102. Let r(s) = 271*s**4 + 5*s**3 + 8*s - 205. Let w(x) = -5*f(x) + 3*r(x). Find the second derivative of w(k) wrt k.\nAnswer: 1656*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -1)*(-2)\/4. Let o = b - -5. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 1, -2\/11, -3\/8, -878\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 181767724, 363535448, 545303172?\n\"Answer: 181767724*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 10*k - 45. Let q be s(5). Let u be ((-12)\/(-2))\/(1\/7). Let f = q - u. What is f rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 263*q**2 - 9458*q - 337. Determine d(-220).\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114314*c**3 - 106577*c?\nAnswer: -685884*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 4*m + 1. Let z(g) = 3*g**2 + 8*g - 16. Determine 2*r(w) + z(w).\nAnswer: 5*w**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (1202 + -1189 + (19 - (-2 - -4)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-5 + 10) - 34) + (-6 + 11 - 12).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((-8)\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4907011292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 664 = 2*c - 6800. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-124)\/(-32)*1 - -2 and 660\/(-40)*4\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = -255*i + 94*i + 7350 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*l**2 + 3 - 1845*l - 22*l**2 + 39*l**2 - 1846*l + 3692*l in the form f + m*l + d*l**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 9*h + 9. Let m be u(-4). Which is the third biggest value? (a) 4\/5 (b) 3 (c) m (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -14*a - 15. Let o be z(6). Let t = 125 + o. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, -13, -25, -39, -55?\n\"Answer: -z**2 - 7*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -48?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/21)\/(0 - 4). Suppose y*d + 3*d = 75. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a - 9. Suppose -20*f = 1313 + 1667. Let b = f + 155. Determine v(b).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(-2)\/(-4))\/((-25)\/200). Suppose v*f + 5*b - 720 = 0, -3*f + 9*b = 4*b - 575. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28341*b**3*d**3*s + b**3*d*p + 59451*b**2*d**2*p + 2*b**2*d - 3*b*d**3*s + d**3 wrt b.\nAnswer: 170046*d**3*s + 6*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58758 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 82\/(-16) + (-2)\/(-16). Let v(r) = -128*r - 47. Let b(q) = -43*q - 16. Let f(o) = -11*b(o) + 4*v(o). Is f(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 31 = -3*w, 15*s - 13*s - 5*w + 33 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 144. Calculate y(-5).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 + 723. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6 + 20. Let m(h) = h**3 + 8*h**2 + 6*h - 3. Calculate the remainder when 6 is divided by m(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 49, -0.4, 0.3 in decreasing order.\nAnswer: 49, 2, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 5) in base 7?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 7:41 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4700176 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -1 + sqrt(1584) + -5 + sqrt(1584))*-4)**2.\nAnswer: -6912*sqrt(11) + 228672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32624 and -108?\nAnswer: -3523392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5 + 4*k**4 - 19*k**3 + 14*k**2 = 0.\nAnswer: -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.400197 months to years.\nAnswer: 2.03334975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*i + 46313, 48*i + 23174 = 2*j + 50*i. What are the prime factors of j?\nAnswer: 2, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 23*j**2 + 1\/100*j**6 + 0*j + 1\/525*j**7 - 1\/20*j**4 + 1\/150*j**5 + 0 - 2\/15*j**3. What is q in w(q) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 1. Let q(d) = 1. Let b(n) = -3*q(n) + u(n). Let y be b(7). Suppose 4*i + 20 = 0, -y*t + 59 = 5*i + 12. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 41. Solve 4*x + 20 = -4*r, -f = 2*x - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**3 - 22*m**2 + 26*m + 2. Let c(d) = d**2 - d - 1. Let o(i) = a(i) + 2*c(i). Determine l, given that o(l) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144022.14 rounded to the nearest 1000?\nAnswer: 144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 - 167 + 17*w**2 + 8*w**2 + 316 + 6*w**3.\nAnswer: 6*w**3 + 25*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106 - -106. Suppose r + 6*w - 13 = w, -2*r + 3*w = i. Let x be ((4 - 3 - 1)*-1)\/r. Is 0 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3459? (a) -3 (b) -5 (c) 1881\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 4012.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:47 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 10) in base 6?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -15*q**5 + 2817*q**4 + 2295*q**3\/4 - 7341*q**2\/4 + 423*q = 0.\nAnswer: -1, 0, 3\/10, 1\/2, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -o + 2*o + 3*z, 3*z + 3 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22553 and 285.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -278.\nAnswer: -70\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (161\/(-14) + 13)\/(15\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7224 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 divided by 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -856? (a) 12 (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2068269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - t = 0. Sort -3, t, 14 in descending order.\nAnswer: 14, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 2*u - u)*(7 + 0 - 4) + (3 + 4 - 1)*(-u + u - u) to the form h + r*u and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:40 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4 = -2*m, 4*h - 34 = -m. Let v be (-121)\/(-4) + h\/(-32). What is the remainder when (v\/(-20))\/((-1)\/10) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0523 - 565.9477. Let u = o + 608.2. What is u rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2550 (base 16) to base 12.\nAnswer: -5640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (43 + -9 - 7 - 19) + -3 + -42.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = -2*i - 3*h, -i - 3*h + 264 = -2*h. Suppose -62 = 7*l + i. Are l and -48 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 522*b**2 - 3486*b - 1277517. Give d(-524).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 19*r**2 + 195*r - 199. Determine d(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let w(u) = 2*u - 5. Let f(y) = -6*y + 16. Let v(b) = 5*f(b) + 16*w(b). Give k(v(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9754486.\nAnswer: 2, 7, 19, 36671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10.8 in 0.03, -3\/118, -19, 2\/11, 0.4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-3 + 4 - (-4 + 0 + sqrt(72)))**2.\nAnswer: -432*sqrt(2) + 1522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/21 - 1803992*n**3\/21 + 3608008*n**2\/7 - 64*n\/21 - 57728128\/21 = 0. What is n?\nAnswer: -902002, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 122, -228, -1176, -3022, -6066, -10608, -16948, -25386?\n\"Answer: -50*h**3 + h**2 - 3*h + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19948 is divided by 214.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1242\/14 + 5 + (-330)\/70)\/(910\/(-910)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192*s + 136568 = 1129*s - 733*s for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*d + 38, 2*p - 7*d = -3*d + 28. Let o = 7 - 3. Calculate the greatest common factor of o and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 216, 4, -212?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 9:52 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*h - 219*h - 4*u = -35, 0 = -5*h - 5*u + 25 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3 - 1768*t**2 - 197148*t - 575640 = 0 for t.\nAnswer: -234, -205, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 10:59 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 2:50 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-6)\/(-4)) + (-477750)\/(-7350))*(-2)\/(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3876 by 8116.\nAnswer: 969\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-33) + (-1134)\/990?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*x - x + 51, 0 = 4*o - x - 56. Is o greater than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = n + 2*q - 1403, 5*n = q + 6988. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248063 is divided by 1610?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -600 in -118.48, 0, 5?\nAnswer: -118.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 299493 >= 3294438\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7275149657 take away -0.2?\nAnswer: 0.9275149657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177394 is divided by 1200.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**8\/112 + w**7\/35 - 3*w**6\/10 + 7*w**5\/10 - 5*w**4\/8 + w**2 + 25. Factor z(b).\nAnswer: 3*b*(b - 1)**3*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1610462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207743?\nAnswer: 207743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-657)\/72 + 6\/48 + 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/5427 and 23\/90.\nAnswer: 54270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)*(n**(-3)\/n*n)\/n)\/(n*(n*n**(1\/2))\/n*n*n**(-2\/15)))\/((n\/(n*((n**(-1)*n)\/n)\/n))**(2\/7))**(-27) assuming n is positive.\nAnswer: n**(899\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 7:32 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-1\/6))*n)**50\/((n*n*n*n\/((n*n**(6\/11))\/n*n)*n*n)\/n**(-4\/7)) assuming n is positive.\nAnswer: n**(12314\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/4*(2 - -2)\/(-4). Suppose -k - 3*n = -58, -5*k - h*n - n = -290. Suppose -a + 147 - k = 0. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005384 to 6 dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/13 (b) -0.3 (c) 0 (d) -0.1 (e) 6\/17 (f) -91282 (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 4*s**3 - 1819*s + 1824*s + 9*s**3 in the form h*s**3 + q*s**2 + p*s + r and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1765543 + 0.81981561.\nAnswer: -1765542.18018439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6567.\nAnswer: 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 454563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*y - 1267 + 1251 = 0, r - 4*y - 8 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 6*d**2 - d + 4. Suppose -5*w - j - 33 = 0, w + 6*j = 5*j - 9. Calculate l(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*a + g + 10, 4*a + 33 = 5*g. Let f = 11 + -15. What is the biggest value in -0.4, a, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132174?\nAnswer: 2, 3, 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 - 4. Let q(k) = -k**2 - k. Let g(v) = -6*q(v) - t(v). Let i be g(-8). What is the highest common divisor of 50 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r - 1\/5*r**4 + 18\/5*r**2 + 0 + 3\/5*r**3.\nAnswer: -r*(r - 5)*(r - 2)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 1:45 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5598316.2 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 21?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1980)\/44*(-2)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - -10. Let k = n - 22. Calculate the remainder when 17 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 - 11*z**3 - 12*z**3 - 4*z**3 + 36*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1010 + 1019. Suppose -g - h + 8 = 0, 0 = -4*h + 3 + p. Put g, 0.1, 0 in descending order.\nAnswer: g, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 525953127 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -240510012 (base 6) in base 8?\nAnswer: -21172370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 59*h - 8 = 35*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3*l = 52, 42 = -4*z + 1986*l - 1988*l for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1d3a (base 14) to base 6\nAnswer: -40424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 146844533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 629639889 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 910 and 1040.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5 - d**4 - 4*d**3 + 4*d**2 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52971, -105942, -158913?\nAnswer: -211884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -30 + 1. Let g = u + -24. Solve g*w = 3*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4 - 418*j**3 + 415712*j**2 - 826328*j - 3318816 = 0.\nAnswer: -573, -2, 4, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-127 - 3*w + 128 - 2*w + (0 + 3 - 2)*(-w + 0*w + 3*w)).\nAnswer: -6*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 4*b + 1, 2*b + 2 + 5 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1708290 and 555.\nAnswer: 1708290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 36*h - 149. Calculate o(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22038778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1262\/9 - 11747\/90. Let f = -845\/2 + 4133\/10. Find the common denominator of f and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 135856.5 tonnes?\nAnswer: 135856500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.083332 + 19848756.\nAnswer: 19848756.083332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 = -2*g, -2*g + 5*g + 4*j + 10 = 0. Suppose -6895 = -5*x + 2*o + 5549, g*o + 7464 = 3*x. What are the prime factors of (x\/25)\/6 + (-2)\/(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - 13*p**2 + 7*p + 7. Let i be f(6). Put -5, i, 0 in ascending order.\nAnswer: -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 25, 4, 1, -252 in descending order.\nAnswer: 25, 4, 1, -4, -18, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -856 and -0.9.\nAnswer: 770.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*t - 36670 = 0, 0 = 3*j - 19*t + 15*t + 27508. Round j to the nearest 100.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32610 - -59189. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**4 - 655812*i**3 + 1617387*i**2?\nAnswer: -24*i - 3934872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 5*h + 1. Let q be a(-3). Let u be (-1)\/6*(-8)\/(-20)*-10. What is the fourth smallest value in -0.2, 3, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 9:28 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, i: 1, k: 2, c: 1, l: 1, t: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110020132 + 0?\nAnswer: 1110020132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.04, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404065795 is divided by 32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -439210.106 + 67.206?\nAnswer: -439142.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38181, 38182, 38183, 38184, 38185, 38186?\n\"Answer: f + 38180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d + 1\/2*d**3 + 0 + 5\/24*d**4 + 5*d**2. Let n(m) = -15*m - 10. Suppose 0*r - 54*r - 12 = 366. Calculate r*b(q) - 2*n(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 35 (c) 0.5 (d) -4.7 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400051, 398895, 397739, 396583, 395427?\nAnswer: 394271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 252, 260, 272, 288, 308?\n\"Answer: 2*v**2 + 2*v + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33201, 66281, 99331, 132351?\n\"Answer: -15*h**2 + 33125*h + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25261*i**4 + 77*i**3 - 5*i**2 + 501478?\nAnswer: 606264*i + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70509*x**3 - 70519*x**3 + 8 - 8.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-25)*o)\/o*o\/(o*o**24*o*o) assuming o is positive.\nAnswer: o**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(65) - (sqrt(65) + (sqrt(65) - (sqrt(65) + -1*sqrt(65))))) + sqrt(65))\/(sqrt(180)*1).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**2 - 6*z - 4*z**4 + 4*z**2 + 4*z in the form i*z + r*z**4 + m + f*z**3 + u*z**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80.39 - 1.39. Let r = o + -85. Sort 1, r, 4.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42669719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4617 and 8873?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13278 - 970. List the prime factors of j.\nAnswer: 2, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -28. What is the smallest value in 5, l, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3070 divided by -411?\nAnswer: 3070\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -349.449?\nAnswer: 344.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18653138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2144430 - 132?\nAnswer: -2200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 = -16. Suppose f = -r + 8, -v*f + 3*r - 2*r + 16 = 0. Suppose -9*q**3 - 1 - 3*q**5 - 6 - 9*q**f + 7 - 3*q**2 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 416*w**5*y**2 - w**2*y**2 + 60 wrt w.\nAnswer: 24960*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.5 + -5.5. Put 2, g, -3\/5 in decreasing order.\nAnswer: g, 2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + 105?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209\/1990 + 1\/199. What is the third smallest value in -2\/9, q, 4, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701 - 2864 = 115*s for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 91\/2 of a microgram?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(104) + 1*sqrt(104)) - sqrt(104) - sqrt(104))\/sqrt(8) + 2 - ((sqrt(117) + (sqrt(117) - (sqrt(117) + 5*-1*sqrt(117))))\/(sqrt(225)*-1))**2.\nAnswer: -418\/25 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487.712 meters in centimeters?\nAnswer: 248771.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -89*n**6\/30 + 53*n**4\/4 + 174*n - 127. Let x(g) be the first derivative of b(g). What is the third derivative of x(o) wrt o?\nAnswer: -2136*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -57. Suppose -3*l - 6 = 0, -4*l - u = -a - l. What is the third derivative of -8*s**3 - 7*s**2 + a*s**3 - 8*s**3 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aja when three letters picked without replacement from {j: 11, a: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:33 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20 = -5*l + u, -29 = -5*l + 2*u. Suppose 2*k + 3 = -2*y - 1, -3*k - l = 4*y. Which is the biggest value? (a) 5 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18cba7 (base 16) to base 8\nAnswer: 6145647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 3*y + 44 - 80.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t + 2 + 5*t**2 - 6*t**2 - t. Let a be l(-8). What is the third derivative of -k**a - 2*k**3 + 5*k**3 - k**3 wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let h be l(2). Let a(i) = -i - 1. Let o be a(-11). Let m = h + o. Solve -j + 1 = 0, 2*b = -b - 4*j + m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52055030 (base 7) in base 8?\nAnswer: -20520642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 3*m - 1. Let v(k) = 52 - 11 + 7*k - 9*k. Let x(g) = 4*g - 83. Let d(y) = -9*v(y) - 4*x(y). Let n be d(18). Calculate z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11408457.\nAnswer: 3, 223, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1034164, 1034172, 1034180, 1034188, 1034196, 1034204?\nAnswer: 1034212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127392808 divided by -2?\nAnswer: -63696404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7457\/230 - -1299\/23. Let q = x - 89. Which is the nearest to 2\/7? (a) -6\/7 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86067431.\nAnswer: 83, 1036957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from vjrmrjjjjvrmvjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 329, 1487, -1 in ascending order.\nAnswer: -1, 5, 329, 1487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63536995*s**5 + 47*s**2 - 42528.\nAnswer: -3812219700*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 23 = -5*w + 313, -560 = -5*n - 2*w. Let p = 86 + -84. Suppose -u + p*u = 14. What is the highest common factor of n and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 23 (b) -2\/269 (c) 186 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11688 - -116991\/10. What is the common denominator of t and 3\/(-4)*(-366)\/(-81)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 718, 1739, 3044, 4615, 6434, 8483, 10744, 13199?\n\"Answer: -3*q**3 + 160*q**2 + 562*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322a07 (base 12) in base 14?\nAnswer: 168d39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 12:35 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4955 + -1421. What are the prime factors of v?\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280194009 to the nearest integer?\nAnswer: 16739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 512589.3ml in litres?\nAnswer: 512.5893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygmemettyzgy. What is prob of sequence mg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c8c (base 14) to base 8.\nAnswer: -17434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 113 = 2*o, 0 = -4*o + 2*z - 83 - 155. Let q = 178 + o. Calculate the remainder when q is divided by (3 - -38)\/1 + (-2)\/2.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 198*h + 1538. List the prime factors of b(51).\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5809*c**2 - 451*c**2 - 11 - 33 + 1217*c**2 + 44.\nAnswer: 6575*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4731768 divided by -394314\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -j + 70. Suppose 0 = -3*b, -p = b - 0*b - j. Do 10 and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 62*q**2 + 183*q - 6. Calculate the remainder when x(-5) is divided by 38.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251040191?\nAnswer: 1091, 230101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/60 - 3*u**4\/4 - 43*u**3\/6 + 25*u**2. Let x be r(-15). Solve -4*p = -5*i - 8, 0 = p - x*i - i - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -1\/6*x**3 + 11 + 1\/2*x**2 - 11*x - 1\/12*x**4. Let u(r) be the first derivative of b(r). What is u(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*1*(-1 + 1). Suppose v = -7*j + 9*j - 218. List the prime factors of j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38758*i**2*l + i*l**2 - 1474*l**2 + 17 wrt i?\nAnswer: -77516*i*l + l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let m(l) = 24*l + 3. Let k be (5 - 2)\/((-6)\/(-6)). Let p(h) = k - 4 + 26*h - 6 - 73*h. Let c(f) = -7*m(f) - 3*p(f). Give c(z(b)).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 - 3*q**3 - q**4 + 2*q**3 + 5 + 0 to v + i*q**4 + k*q**3 + o*q**2 + p*q and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21047 - -26?\nAnswer: 2106d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -8*t. Suppose 0 = 4*j + 4*y, -t*y - 10 = 2. Calculate the highest common factor of 12 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135 + -142)*(-25)\/((-10)\/(-2))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {d: 1, h: 4, o: 2, j: 1, e: 3, u: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-3\/5))\/u**(-3\/5))\/((u*u**0)\/u*u)**(-5\/9))**(-1\/65))**(-2) assuming u is positive.\nAnswer: u**(28\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-259)\/(-370))\/(924\/48)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from dfrnftfrffntfdnrr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/11 (b) -9 (c) 0 (d) -566 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 6*z - 3. Let n be a(6). Let x be (n + -3)\/(12\/(-8)). Suppose x*m - o + 0*o = 7, 2*o - 2 = 0. Solve -3*s = m*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 38. Let t = 16 + p. Suppose -5*i = -t*i - 40. Is -10 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/19 - 4872318*o - 92574040\/19.\nAnswer: -2*(o + 1)*(o + 46287020)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 55*d - 652. Let b be i(12). Solve -11*v + b*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7364106 (base 9) to base 14\nAnswer: 747a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-12 - -18) - (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*x = -109*x - 3*i - 89, 4*i - 46 = -x. Solve -5 = j, 3*p + x*j = 31*j + 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -16 + -8 + 11 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j - 58. Calculate q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(405)\/sqrt(9) - 3*sqrt(20))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 20 = -4*w - 0, 0 = -4*w + 4*r + 24. Let c(j) = 27*j**2 - 13*j + 23. What is the tens digit of c(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n + 13*n + 13*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 261, -23, 2 in ascending order.\nAnswer: -23, 2, 5, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**6\/720 - r**5\/120 + r**4\/6 + 3*r. Let g(q) be the third derivative of x(q). Let j(p) = p - 1. What is 4*g(w) - 6*j(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.94 + -1. Let r = -701562.0600006 - -701562. Let d = r - c. What is d rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-82)\/((-5248)\/(-320)))\/(25\/(-24))*5\/(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553968671 to the power of 1\/2, to the nearest integer?\nAnswer: 23537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11100 (base 2) to base 9\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j + 136. Let l = j - 18. List the prime factors of (2 - 0)*l\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 1, w - 2 = -h + 2. Suppose -h*k - k + 72 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3 - 259116*f**2 - 5595091788*f = 0.\nAnswer: -43186, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-12)*20\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 760 + -770. Let p(h) be the first derivative of -h**3\/3 - 5*h**2 + 5*h + 2. Calculate p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.824 to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.068 and -4.3.\nAnswer: -0.2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + -8. What is the third biggest value in -1\/4, 1\/6, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55876259 a multiple of 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**15*m*m**(-11)\/m)\/(m*m**(-1))**(-4\/19))**(12\/5) assuming m is positive.\nAnswer: m**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 18, b: 2}. What is prob of picking 2 b?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*x + 28*x - 43*x)*(-387*x - 11*x**3 + 5*x**3 - 120*x + 5*x**3).\nAnswer: 56*x**4 + 28392*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00103760804 to five dps.\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*(-42)\/9.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233 divided by 41.\nAnswer: 233\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 86227565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(2 - 3) + 2. Suppose 2*y = 3*u - 17, -3*u + 5*u - 18 = g*y. What is the units digit of (u\/6)\/((-3)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 - 90*u**2 + 2446*u + 898. What is a(-64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-2))\/(-5))\/(3\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111 (base 2) to base 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381932392.\nAnswer: 2, 5591, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36102 - -36101.975958. What is v rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*l - 4096470, 0 = -2*l - s - 3166477 + 435490. Let h = 825492 + l. What is h rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 7*k - 2*k + 110, -463 = -4*t - 3*k. Let b = 292 - t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03204 rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 817553317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8441271 by 6.\nAnswer: -2813757\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.3. Let u = -0.1 + y. Let b = 0 + u. What is the closest to b in -5, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a**3)\/(a\/a**3*a**(2\/19))*((a*a**(-3\/5)*a)**45)**(5\/2) assuming a is positive.\nAnswer: a**(5905\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 24 = -2*s, -1127*q - s - 6 = -2261*q + 1135*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/32 and -31\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7\/1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 - ((-2322)\/(-126) + -17)\/(2 + 13\/(-7)). Factor 6 + 11907\/2*j**s - 378*j.\nAnswer: 3*(63*j - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 946152.\nAnswer: 4730760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1061944938 and 216?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z - 3*z**3 - 3*z + 6 - 3*z + 4*z**3 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/35 + 0 - (-4)\/14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(78)\/sqrt(6)*6 + (sqrt(13) - sqrt(65)\/sqrt(5) - sqrt(13)) + 4)**2 + 3.\nAnswer: 40*sqrt(13) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3499 + 1213 = -127*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9355 divided by -5.\nAnswer: -1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 28 = 4*i, 10 = -3*i - 5. Let b(d) = -2*d**2. Let s(f) = f**2. What is u*b(h) - 9*s(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 26*q**3 + 599*q**2 + 17*q - 133. Let l be a(-23). Solve 0 = 3*w - 2*w + 3*k - 15, 0 = -5*w + k - l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-375)\/(-450) - 1\/2*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 + 103. Let k = -24 + 20. Sort x, 1, k in ascending order.\nAnswer: k, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-9120)*-2)\/(400\/(-3200))?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 + 84 = -5*j. Let w = -1 + -94. Let n = j - w. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 5 = 3*s + 5*t, -3*s + 4*t - 2 = 0. Suppose 15894 = 8*v - s*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30629 - 30621. Let v be 5\/20 + 19\/4. Solve j = v*j - k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((-1)\/7*203\/58).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3678 + -3631. Sort 2, s, -4.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -230*b + 218*b - 456. What is the nearest to b in 3, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - f + 3*f + f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (13 + -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b - 45. Let j be h(12). Suppose 5 = -3*m + 2*v, m - j*v + 7*v = 17. Let n = 1 + m. Solve -n*g = -4, 3*l + 7 = 4*l + 3*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 558395, 1116534, 1674673, 2232812, 2790951, 3349090?\n\"Answer: 558139*z + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a factor of 1056970856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 5, -3620.\nAnswer: -3620, -5\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 105*f**3 + f**2 - 2*f + 1. Let q be g(1). Let c be 35\/14*52\/10. Suppose 5*z - 62 = c. Calculate the greatest common factor of q and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - -32. What are the prime factors of m?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652828816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -16*y**2. Let h(c) be the third derivative of c**5\/15 - 7*c**2. Determine h(j(x)).\nAnswer: 1024*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*s = -s + 28, 0 = -5*s + 20. Find the third derivative of 3*a**2 + 3*a**5 - 3*a**6 + a**c - 3*a**5 wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -14, -8, 281, 0, 1 in descending order.\nAnswer: 281, 1, 0, -1, -3, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/((sqrt(132)*1 + sqrt(132) + sqrt(132))\/sqrt(12)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -59, -1847.\nAnswer: -1847, -59, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 2*r - r + 9*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 5 - (10 + 10)) + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 - 211 - 91 = 11*l. What is the fourth biggest value in 0.2, -0.3, -1\/4, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -57*w + 6270. Let s be p(110). Solve s = -5*q + 30, a - 3*q + 7 + 16 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p + 4. Suppose -3*f + 0*h + 12 = -3*h, -6 = f + 4*h. Suppose c + 21 = -f*y + 4, -c - 5 = 0. Does 17 divide v(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 48*r - 536. Calculate l(30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u**(1\/5)\/u*u*(u**5\/u)\/((u*u**(-1\/5))\/u))\/(((u*u*u**0*u*u)\/u)**(-39)\/(u**(-1)*u**(2\/13)\/u)) assuming u is positive.\nAnswer: u**(31019\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 133 (b) 1.5 (c) 0.1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/3, 12\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -33*p - 141. Let s be j(-36). What are the prime factors of 6 + (s\/11 - (-18)\/(-99))?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2 - 5*v + 6. Determine i(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/4 + 719611*v**2\/4 + 6836485*v\/2 = 0. Calculate v.\nAnswer: -19, 0, 719630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2856 and 10248?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(847) - (sqrt(847) + 3*(sqrt(847) - sqrt(847)*3)))*6)**2.\nAnswer: 1097710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 6*y + 8. Let v be j(-6). Let k be 21\/36 - 2\/v. Which is the closest to 0.3? (a) k (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + 1*sqrt(324) - sqrt(36))\/(sqrt(12)*2*6).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o. Let q(p) be the third derivative of p**5\/10 - 39*p**3\/2 - 2*p**2 + 2. Let h(g) be the first derivative of q(g). Calculate h(k(n)).\nAnswer: -132*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10022632 - 5045932. What is y rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 299*v**4\/3 + 1903*v**3\/6 - 790*v. What is the second derivative of y(z) wrt z?\nAnswer: 2392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5*s + 3. Let r be k(3). Let n(g) = -1547*g - 7728. Let b be n(-5). Sort b, -4, r, -5 in increasing order.\nAnswer: -5, -4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -542, -1095, -1648, -2201, -2754, -3307?\n\"Answer: -553*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2*w - 3. Suppose 129 - 9 = 10*d. Suppose -7*h - d = 16. Calculate p(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s + 3. Let h be p(0). Let x(t) = 104*t - 11. What is the hundreds digit of x(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 19*n - 244. Let t be m(13). Solve 2*g + 3*g = -4*x + 20, -15 = 4*g - t*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1559, 1568, 1581, 1598?\n\"Answer: 2*m**2 + 3*m + 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y - 36 = -17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -37 - 133. Let q be (-6)\/(((-4)\/(-2))\/(-70)). Let n = q - z. What is the greatest common divisor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1711\/(-5841) - ((-50)\/125)\/((-22)\/(-10))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17791 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 5*j. Let v(d) = -d**3 - d**2 + d. Suppose -2*y + o + 3 = 0, 4*y - 4839 = -3*o - 4858. Give y*b(p) + 2*v(p).\nAnswer: -2*p**3 - p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*p - 136*p - 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*l - 2*l - 2 = 0, 5*l - 10 = 0. Suppose -2*j + 4 + 0 = m. Solve -5*n + 13 = -j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -15\/11, -0.3, -2\/15, -11\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 95.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -59?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1783326 and 20445?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2. Let w(u) be the third derivative of u**5\/30 - 9*u**2. Determine v(w(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*s + 85 = 16, -2*g - 37 = -s for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*v*x**2 + 2*v + 2*x**3 - 2099*x - 1869705 wrt x?\nAnswer: 42*v*x + 6*x**2 - 2099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 16*u = 420. Suppose 0 = -4*z - 7*z + 33. What is the least common multiple of z and u?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2*(-8)\/(-50))\/(978\/(-978)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12429, 51340, 116187, 206970, 323689?\nAnswer: 466344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64517 (base 9) in base 5?\nAnswer: 2331303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11314, 11308, 11302, 11296, 11290?\n\"Answer: -6*f + 11320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/6292115?\nAnswer: -1\/6292115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -25. Let m = 0 - 0.4. What is the biggest value in m, -2\/21, v?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 16. Let v be (r\/6)\/((-2)\/12). Solve 2*k = -v*a + 6 + 10, 0 = 2*a - k - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + 66\/(-21))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 61.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-5*n + n**3 + n - 6*n).\nAnswer: -n**3 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbekebkfbbbb. What is prob of picking 1 f and 1 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x - 1. Calculate l(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 258, 499, 740?\n\"Answer: 241*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 69*v**3\/2 - 37*v**2\/2 + 162*v - 275. Let h(k) be the first derivative of a(k). What is the derivative of h(n) wrt n?\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9075 and 412350.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2 + 0 - -3). Suppose 0 = 3*a - 0*l - l + 3285, 4*l = g. Calculate the common denominator of ((-6)\/15)\/(54\/a) and 11\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41412 + 0?\nAnswer: -41412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -55829, 43 in ascending order.\nAnswer: -55829, -5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 205 = 18*r. Suppose 2*t + 2*v - 98 = 0, -t - r = -2*t - 5*v. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - -7.15. Let t = p + -8. Let y = 3 + 2. Sort t, -0.3, y in decreasing order.\nAnswer: y, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.01 + 0.01. Let t = 7.2 + h. Which is the third biggest value? (a) t (b) 2\/11 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - (73 + -66 + -13).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h + 1. Let f(a) = -a**3 + 6*a**2 + 8*a - 6. Let z be f(7). Let j be x(z). Is j at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p. Let z(m) = -3*m**2 - m + 2. Give 4*f(j) + z(j).\nAnswer: j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -122*d + 7651. List the prime factors of t(-102).\nAnswer: 5, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - 6 - -10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -9. Put -4, 0, g in decreasing order.\nAnswer: g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 708*p**3 + p**2 + 12*p + 21. Let s be o(-2). Is (-8)\/(56\/s) - -8 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m**2 + 12*m**2 + 2*m**3 + 9*m - 243 + 239 - 3*m**3. What is h(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-1106)\/(-49))\/((-1)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -6 - (-2 + 1)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(175)*3 + (sqrt(175)*-3*4 - sqrt(175)))*1)**2.\nAnswer: 300*sqrt(7) + 17509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 58.6. Which is the second smallest value? (a) -0.1 (b) g (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29618630.63 rounded to the nearest ten thousand?\nAnswer: 29620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 17*m - 63 = 0. Let g = 18 - m. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136166648 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2782 - 2782 - 1560*l in the form w*l + b and give w.\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*v - 8329, 4*v - 5*s = -10*s + 6650. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 6*k + 6. Let d be h(-6). Let r(p) = p - 8. Let c be r(d). Let l(o) = -86*o - 521. Let w be l(-6). Put c, -3, w in decreasing order.\nAnswer: c, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1659 - -0.2059. Sort -2\/9, 0.3, l, 1, 0.2 in decreasing order.\nAnswer: 1, 0.3, 0.2, l, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(1\/2)*p))**(2\/39)*(p\/(p*p\/(p**(-6)\/p)))\/p**(-4)*((p\/((p*p\/(p*p**(-2)))\/p))**5)**9 assuming p is positive.\nAnswer: p**(-638\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 3 - 3 + 2*v**2 + v**2 - v**2 + (-v - 5*v + 5*v)*(3 - 3 - v) - 63*v**2 + 513*v**2 + 62*v**2.\nAnswer: 513*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(-1 + (sqrt(108) + -1 + sqrt(108) + -1 - (0 + sqrt(108) + sqrt(108) + -4)) + -2)*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076404448 times -0.2?\nAnswer: -0.0152808896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1945 + 1605 = -10*m. Calculate the remainder when 2773 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 6, -54, 8, 0, -1 in descending order.\nAnswer: 42, 8, 6, 0, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.6, -0.03, 0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-15)\/9)*-12. Suppose 2*k - 117 = 3*x + 247, -3*x = -4*k + 728. Let l be k\/49 + 2\/7. Is l < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3467 = -1217. Let q = d - -462. Solve -2*b = -5*b - 5*n + q, -b = n - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126 + -118. Let l(i) = i**3 + 2*i**2 - 2*i + 1. Let k be l(1). Solve k*v = -v + n + h, 0 = -5*v + 3*n + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/(-3*7\/420). Let h(x) = -x**2 - 8*x + 21. Let v be h(f). Solve 3*d + 3*u = v + 8, -7 = 3*d - u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m**2\/5 - 59*m\/5 + 24\/5.\nAnswer: (m - 8)*(7*m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*h. Let a = -2\/837 - 81149\/16740. Calculate the common denominator of 131\/20 + -2 + h and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860673795 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.5 + -10. Suppose 0 = 3*p - 6*p + 15. Let o be (4\/16 - p\/4)\/1. Which is the second smallest value? (a) 0.1 (b) r (c) -1\/8 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t - 1 + 15*t - 2*t**2 - 11*t**2 to the form a + i*t**2 + v*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3\/7 + 16276*f**2\/7 - 270636*f + 54362268\/7 = 0. What is f?\nAnswer: -4183, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/22 - (-79)\/11. Suppose 72 = j*r - 3*r. What is the remainder when 34 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102683, -102677, -102671, -102665, -102659, -102653?\nAnswer: -102647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9039.629 centuries?\nAnswer: 10847554.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -266 + 494. Suppose 6*b - 25*b + p = 0. Calculate the remainder when 31 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**5\/60 - 3*o**2\/2 + 4*o - 10. Let i(c) be the second derivative of q(c). Let f(x) = 29*x**2. Calculate i(f(r)).\nAnswer: -841*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 17*g**2\/2 + 9*g - 9. Let a(o) = 4*o + 2. Let i(j) = -9*a(j) + 2*f(j). Let y(z) = -2*z. Give i(y(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49456.9835 + -49390. Let w = a - 67. Round w to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 22. Let d be m(16). Suppose -d*f = -137 - 25. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 56 + 56.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 444*n**2 - 8*n + 335*n**2 - 791*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.3. Let t = 0.2 - h. Let s = 3.5 - 4. Which is the second biggest value? (a) t (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 1\/2*c**2 + 1\/240*c**6 - 7\/160*c**5 + 4 - 3\/32*c**4 + 7\/48*c**3 + 5*c. Factor j(t).\nAnswer: (t - 8)*(t - 1)*(t + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33800\/10140*6\/22?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 31*h + 2. Suppose -4*a + 17 = 4*w + 1, 0 = -4*w + 4*a + 8. Suppose -6*g + 3 + w = 0. What is the tens digit of f(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-3)\/4)\/(3\/(-12)). Solve -q + 2 + o = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Suppose 0*c - 18 = -3*i - c, 6 = i - u*c. Suppose 1 = 2*l + m - 2, 5*l + 2*m - 8 = 0. Solve l = -4*h + i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*c + 248889 - 251314 = -51*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 1. Let j(x) = 3*x - 3. Let k(l) = 7*d(l) + 2*j(l). Let c(n) = -2*n. Let m be c(2). What is the units digit of k(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-5*14\/70.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 9*n = 12. Is (1 - n - -447)\/(3 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 40?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 67, -5, -3, -6, 2\/5?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y = 23*y + h + 4380, 0 = 4*h - 24. List the prime factors of y.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(((-4)\/(-14888))\/(1\/(-2))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7247632 millimeters to centimeters.\nAnswer: 0.07247632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 14 = 5*v, -16*x + 3*v + 244 - 266 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -826, 0, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) -9 (c) -2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54481 - -3581. Let s = k + 50912.0215. Let j = 12 - s. Round j to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626682 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14*c**3 + c**2. Let a(h) = 34 - 11 - 8 - 5 + h**2 - 6*h. Let f be a(3). Calculate m(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*-4 - -2) + -2. Let s = 13 + y. Suppose 0 = 3*x - 6*d + 2*d - 105, -4*x + s*d + 141 = 0. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from hehhhehhehhhheevhzh?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and 0.689.\nAnswer: 10.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -69*m**2. Let b(u) = -6*u**2 - 7*u. Let x(q) = q**2 + q. Let g(r) = -2*b(r) - 14*x(r). Give f(g(o)).\nAnswer: -276*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146187 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 68080629, 68080625, 68080621, 68080617, 68080613, 68080609?\n\"Answer: -4*z + 68080633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*a = -417*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 3*l - 40, 12*c + 7*l + 0*l - 72 = 16*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 4. Let d(u) be the second derivative of u**2 + 3*u. Determine 5*d(w) + 2*f(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 - 19*w - w**2 + 0*w - 106*w + w**3 + 15*w - 2 as q*w**2 + k*w + l*w**3 + s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007696 rounded to four decimal places?\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 14*t - 43. Let a be o(8). Put 8, a, -0.02 in ascending order.\nAnswer: -0.02, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5 - 45*i**4 - 75*i**3 - 35*i**2 = 0. Calculate i.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 229*m. Let v(x) = -4*x - 5. Determine v(f(k)).\nAnswer: -916*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 169741.5 months?\nAnswer: 14.145125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*j - 2*j. Suppose -5*w + 5 = -0. Let q = j + w. Solve 0 = q*u - 7 - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 6) + (4 - -38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135*b**2*i**2*p**2*y + 14972*b**2*i**2*y + 2*b*i**2*p*y + 3220*b + i**2 + 7*p**2*y wrt b.\nAnswer: 270*i**2*p**2*y + 29944*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*m = -653*m - 320 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 8. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f + 2. Suppose 5*p - 305 = 5*l, -l + 59 = 25*p - 24*p. Calculate the greatest common divisor of p and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 770 = -h, -2*b + 3*b - 2*h - 260 = 0. Suppose 15*x - 11*x - b = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13110 is divided by 389?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u - 24*u + 207*u = -1368 - 7592 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 1133*d - 41775. What is q(36)?\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfzfwzzfzwzzfz. Give prob of picking 1 z and 1 w.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5997.744098 + 0.055902. What is w rounded to the nearest 100?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10032)\/(-3135))\/((-6)\/60).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.08 (c) 6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 12:24 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*h - 6, -3*i + 6*h - 2*h + 21 = 0. Suppose 0 = -3*s + 5*l - l - 15, 0 = 4*l. Sort s, i, 2 in decreasing order.\nAnswer: i, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*18\/27*9. Let i be 18\/((-8)\/a - (-4)\/(-4)). What is i rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -2\/3*n**3 - 18*n - 20 + 6*n**2. Suppose g(t) = 0. What is t?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbdtc. Give prob of sequence cbt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 5*k + 279. Let h = -45 - k. Let m = h - 7. Calculate the greatest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139835.\nAnswer: 5, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:56 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081747660.\nAnswer: 2, 5, 7, 7726769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138019556611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**6\/2 + 2*g**5\/5 + 1048*g**3\/3 + 1311. What is the third derivative of w(i) wrt i?\nAnswer: 180*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvovxhovhhoofvvjx. What is prob of picking 2 h and 1 x?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + -7 + 13 - 1*-3. Find the third derivative of g - g**h + 0*g - 53*g**2 - 3*g**6 + g**3 wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**4 + 3294011*y**3 + 33685788*y wrt y?\nAnswer: 36*y**2 + 19764066*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2461890, 4923465, 7385040, 9846615, 12308190?\nAnswer: 14769765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066689 divided by -355563?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/115 - 111\/230. Let b = -18.59 - 0.41. Let t = 14 + b. What is the second biggest value in -2\/5, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 6*z - 6*z)*(0 + 0 + 1)*(3 - 11*z - 3).\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21147281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 864 = -6*b. What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(48))\/sqrt(7) + 0 + sqrt(10)\/sqrt(2) + 2.\nAnswer: 2 + 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 - 4*c**4 - c**4)*(2 + 1 + c + 0)*(27 + 1 - 14 + (2 + 2 - 2)*(2 - 4 + 3)).\nAnswer: -48*c**5 - 144*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -1718, -4338, -7996, -12686, -18402, -25138, -32888?\nAnswer: -41646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12475 - -3?\nAnswer: -12472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8342 is divided by 2035?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30962.94 weeks in hours?\nAnswer: 5201773.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - (-4 + 2 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h + 65. Let a be i(8). Let g(o) = -3*o + 30. Calculate the remainder when g(a) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 + -100. Suppose -8 = o - h. Let r(p) = p**2 + 4*p - 1. Calculate r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 + -872 + (4 - -12)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*n*z**2 - 27*n*z - 192067*n + 2*z**2 - 6*z with respect to z.\nAnswer: -40*n*z - 27*n + 4*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2 + 3*v + 2498. List the prime factors of p(0).\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1051 (base 6) to base 5.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/1453, -3, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 3*a**3 + 3*a**3)*(-3*a - 4*a + a) + 4*a**4 + 0*a**4 - a**4 + (-2*a**4 + a**4 - a**4)*(-1 - 1 + 3) + 2*a**4 + 3*a**4 - 7*a**4.\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 10*g. Suppose 5*c + 2*h - 392 = g, c + 2*h = 6*c - 408. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -110\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12164 + 3?\nAnswer: 12167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 15 = -5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1 and 12895.\nAnswer: 12893.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, 160, 526, 1098, 1888, 2908, 4170?\n\"Answer: 2*j**3 + 85*j**2 - 97*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 54. Let p be o(6). Solve -8*x - 10*x = p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10432944?\nAnswer: 2, 3, 53, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + 57. Let q = 1 + -1. Suppose q = 2*s - 7*s + t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(156)\/sqrt(3)*-3)**2.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1110, -1119, -1128, -1137?\n\"Answer: -9*p - 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7713491609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -9. Let g = -0.5 - 1.2. Let q = 1.2 + g. Put d, 5, q in ascending order.\nAnswer: d, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1096, 1094, 1092?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2688953551 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66666.\nAnswer: 2, 3, 41, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11915573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3\/8 + 23*h**2\/8 + 5*h\/4.\nAnswer: -h*(h - 5)*(5*h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -55*j**3\/6 - 19*j**2\/2 - 119*j. What is the first derivative of a(y) wrt y?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 3\/4*m**4 - 4 + 0*m**2 + 0*m - 1\/2*m**3. Factor q(c).\nAnswer: 3*c**2*(2*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 77. Let g(j) = 44*j + 80 + 52*j + 42*j - 123*j. Let f be g(-4). Calculate the greatest common divisor of y and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(143)\/(sqrt(396)*-3) - sqrt(39)\/(sqrt(15)\/sqrt(5)*1 + sqrt(3))))**2.\nAnswer: 325\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 8, c: 2, a: 2, o: 1}. What is prob of sequence coa?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0*36\/(-72)*(-4)\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 150 = 3*p, -2*p = 4*h - 2*h + 100. Let w = p - -352\/7. Let f = 0.3 + -0.4. What is the biggest value in f, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 22*s**2 - 19*s - 30. Let m = 236 - 213. Suppose 3*n - 32 = -n. What is the smallest common multiple of v(m) and n?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 5*d - 7. Let h be v(5). Let f = h - -7. Solve f = -x - 7 + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21 + -27 + 35*11. Let x = s - 378. Which is bigger: 1\/52 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/6 + 20\/18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*a = -6, 4*d + 2*a - 1 = 9. What is the second derivative of -5*j - 2*j - j + 7*j - 5*j**d wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 - 1\/2*l**2 = 0. Calculate l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (881 - 442 - 1608)*(-1 + k - k + k)*(2 + 1 - 1).\nAnswer: -2338*k + 2338","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46151?\nAnswer: 7, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (429 + 390 - 927)*(3 + 2*o**3 - 3 + 0*o**3 - o**3 + 2*o**3 + (o**2 + 2*o**2 - 4*o**2)*(2 - 3*o - 2)) as s + f*o + n*o**3 + b*o**2 and give n.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*d - 4, -5*v + 7 + 18 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(66)\/(sqrt(30)\/sqrt(5)) + -6*(sqrt(99)*6 + (sqrt(11) + sqrt(66)\/sqrt(24) + sqrt(11) - sqrt(11))).\nAnswer: -118*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 23 + 3 = 3*w, -r + 4*w = 13. Let t = r + 13. Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 45*t**2 + 126*t + 5. Let n be b(-42). Solve -n*m = 15*m - 120 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24066)\/(-51) - 10\/(-255)*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -5*n + 4\/3*n**4 + 0*n**3 - 2*n**2 + 0. Differentiate f(q) wrt q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-10))\/((-8)\/(-240)*12). Let b be m*(-15)\/80*2\/3. Sort 1, -24, b in descending order.\nAnswer: 1, b, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 15 - (4 + -8 + 18).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-8) + (-2)\/(-1). Let n = -351 - -351.948. Let g = n - -0.052. Which is the second smallest value? (a) -0.1 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049112 to the power of 1\/2, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 29. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 3. Let j(c) = 2*c + 4. Let z(p) = -4*i(p) + 3*j(p). Let u(y) = 6*y**2. What is z(u(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*s + 89, -6*s - 44*s = -3*k + 2*k - 54*s + 4 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32\/5 of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 3*n + 20. Let q be o(4). Let p = q - -117. Which is bigger: -43\/10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Suppose 0 = d*f + 1 - 11. Suppose 5*n - f*c - 70 = 0, -4*c + 9*c = -15. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(130) + (-2*4*sqrt(130) - sqrt(130)))\/sqrt(10))**2 + 5.\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1723214372*j. Let w(g) = -2*g. What is w(v(l))?\nAnswer: -3446428744*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 2 - -1 - -1*9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 15 = -5*v, 97 = r + v. Let p = -51 + r. Suppose 0 = d - p + 6. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1958969, 1958970, 1958971, 1958972, 1958973?\nAnswer: 1958974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -3*l**5\/100 + 13*l**4\/10 + 27*l**3\/10 + 10*l + 66. Suppose g(c) = 0. What is c?\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w - 7. What is the tens digit of p(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:11 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7*a = 4*a - 66, -5*a = -3*g - 26. Let n(o) = -13*o - 40. Let t be n(g). Let i = t + -112. Solve 0 = -m + i*c - 7 - 7, -4*m + 4*c - 20 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 40537\/5 and 8106 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1677*h + 1606*h + 516525. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -761*j = -730*j - 61566. What are the prime factors of j?\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/5)\/d*d**(-16)*d assuming d is positive.\nAnswer: d**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**2 + 2*n - 430 wrt n?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + (-6 + (0 - -6) - 2 - 48)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 + 8*p + 8. Determine r(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 - -126?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -763.97 and -8.\nAnswer: 6111.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 8 - 8. Let g(t) = -t - 3. Let o be g(-3). Let y = o + f. Is y != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 0*d**3 + 8*d**3 + 8*d - 7*d**3 - 2*d**2 - 17. Let z be f(2). Solve -k + 9 = 4*n, z*k - n = 3*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 8 - 11)*(27*z + 27*z - 58*z)*(3 + 1 - 6) + (2*z - 3*z + 0*z)*(1 + 0 - 3) in the form f*z + h and give f.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 4*q**2 - 9*q + 2. Suppose 0 = -4*x + 4*y + 4, -y - 1 = x - 12. What is the units digit of c(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 2*v**3\/3 + 1. Let c(b) = -23*b**2 + 40*b. Let i(s) = s**2 - 10*s. Let o(w) = c(w) + 4*i(w). Determine y(o(j)).\nAnswer: 722*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/31970 and 14\/415.\nAnswer: 2653510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 0*v + 0*v)*(10265*v**2 - 10265*v**2 - v**3 + 307) to n*v**2 + p*v + r + b*v**4 + x*v**3 and give p.\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 1. Let c(s) = -s - 7. Calculate -c(q) + 6*w(q).\nAnswer: 7*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*g**3 + 955*a**2 + 3*a*g**3 + 551*g wrt a.\nAnswer: 2*g**3 + 1910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**3\/3 + 51*q**2\/2 - 226*q + 4220. What is i(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 30 = -5*t. Let i be ((-9)\/t)\/(9\/48). Suppose -j + 10 + 15 = 3*n, -2*j + i = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 19. Let f be r(-14). Let k(c) = 7*c + 6. Let g(u) = 6*u + 5. Let d(p) = f*k(p) - 6*g(p). Let q(b) = -23*b. Determine d(q(z)).\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 2. Let p(g) = 1 + 4*g + 0*g + 2. Suppose 6 = 10*r - 12*r. Let n be r\/(-2)*(-4)\/(-3). Give n*p(x) + 3*y(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 6, t: 3, j: 1, y: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75066 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, a: 1, f: 3, i: 1, w: 4, r: 1}. Give prob of picking 1 f, 1 w, and 1 n.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + -8*18 - -2) + 3. Let h = -130 - d. Suppose 0 = -4*y + 3*u - 4*u - 3, -4*u - h = -5*y. Solve 3*w + 3 + 0 = y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 2489*b**2 + 5*b - 284. Determine g(0).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxn when three letters picked without replacement from xnvnpvnnvkpk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 117. Let u(l) = -9*l**2 + l**2 - l**x. Let f(o) = -2*o. Give f(u(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -10 + 4 + -3 + 1 + -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/12)\/((-2)\/(-42)). Suppose j*w + 15 = 4*w, -5*l = 3*w. Suppose -4*q + 5*i = -53, -l*i + 0 = -q + 15. What is the remainder when 43 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 0*g + 0*g**5 + 5 + 4\/3*g**3 + 0*g**4 + 0*g**6 + 0*g**2 + 3\/7*g**7. What is the third derivative of m(f) wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/8, 3298?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) -3\/2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 11 = 4. Let m = x + 10. Suppose -g + 8 = -0*z + 2*z, 0 = m*z + 2*g - 20. Solve -6 - 10 = -z*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 1*(-4 - -7). Suppose 3*s + 5*u - 1 = -3, g*s - 36 = 3*u. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010001001010001000 (base 2) to base 8\nAnswer: -1211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**4\/2 - 11*p**3\/3 + 3. What is the third derivative of h(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -228820 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**4 + 2*l**2 + 1277*l + 14776 wrt l.\nAnswer: -8*l**3 + 4*l + 1277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 122400459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 3*a + 4. Calculate the remainder when 59 is divided by o(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 18. Let j be t(-17). Is 2\/631 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/7 + 41\/(-7). Let g = d - -8. Suppose -z = z - 8, 3*c - 12899992 = g*z. What is c rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/2237563 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -293094 divided by 857?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23020)\/648 - 32234\/(-908)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6914, -25834, -57368, -101516?\nAnswer: -158278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/5 - 2*b**3\/5 + 10*b**2 + 10*b = 0. Calculate b.\nAnswer: -5, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*x + 15, 0*a + a - 3 = -x. Let t(u) = -2*u**2 + a*u + 4*u + 0*u. Let v(j) = -j**3 + 4*j**2 - 2*j. Let l be v(3). Determine t(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2507, 2536, 2579, 2642, 2731, 2852, 3011, 3214?\n\"Answer: x**3 + x**2 + 19*x + 2486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o + 48*o. What is the biggest value in -2, o, -0.57?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 130*v + 1846. Give m(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1022 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -140.2. Let p = -2068 - -2068.5. Let i = -3 + -1. Sort p, -1, c, i in increasing order.\nAnswer: i, -1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31845216 by 4.\nAnswer: -7961304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-8 - 2) + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + (-29 - -22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -19. What is the third biggest value in s, 5, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 603043 or 603042?\nAnswer: 603042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h = -20*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 888602.24 to the nearest one thousand.\nAnswer: 889000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1704\/31950)\/(4\/30)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2659 + 2659.35. Which is the biggest value? (a) -14 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 929095*s**3 + 17*s - 929196*s**3 + 2 - 17*s + s**2 - s**2.\nAnswer: -101*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(-1 + (-153)\/(-165))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565328.\nAnswer: 2, 89, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**3\/3 + 6*k**2 - 10*k + 4. Let i be -2 + (-1504)\/(-160) + (-9)\/(-15). Calculate u(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116436 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -225 - -387. Suppose 92 = 5*q + c. Let b(y) = 3*y - 6 + y - 1. Let d(a) = -a + 2. Determine q*d(k) - 4*b(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(4\/3)*(k\/k**(1\/7))\/((k\/k**(1\/2))\/k))**(21\/5) assuming k is positive.\nAnswer: k**(169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*x + 41, -x + 0*b + b + 11 = 0. Suppose 109 = 3*i - 107. What is the greatest common factor of i and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**3 - 1. Let h be x(1). Let y = 0.3 - 0.1. Let m = 0 + y. What is the second smallest value in 0.1, h, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 - 8?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6258583 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 237*u**2 - 160*u**2 + 4 + 581*u**2 - 7.\nAnswer: 184*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -14*p - 1. Let m(t) = 8*t - 8*t - 7*t. Let v(g) = -11*m(g) + 6*u(g). Let l(a) = -a - 1. Give -4*l(z) + v(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - s + 1. Let n(o) = 12*o**2 - 13. Let g(t) = 5*d(t) + n(t). List the prime factors of g(5).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 10:16 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16539853.05 seconds to weeks.\nAnswer: 27.347640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6115 is divided by 148.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1812.4962 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/4 (b) 5 (c) 45 (d) 11\/2 (e) 56 (f) 0.056\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*y**3 - 5*c*y**2 - 4*c*y - 449*c + y**3 + 730341*y**2 wrt c?\nAnswer: -2*y**3 - 5*y**2 - 4*y - 449","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*n - 36. Put 5, -2, -4, n in descending order.\nAnswer: 5, n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**4\/38 - 10*o**3\/57 - 3*o**2\/19 + 18*o\/19 - 956. Determine q so that f(q) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 + -16.999.\nAnswer: 7.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Suppose 0 = -2*m - 3*m + 45. Suppose 3*v + 2*v = -3*u + 37, v + u = m. What is x(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 6*w**2 + 3. Let u be y(4). Let m = 11 - u. What is the highest common divisor of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c - 63. Let z(m) = -5*m + 31. Give 6*p(l) + 13*z(l).\nAnswer: -11*l + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 41*j**2 - 14*j - 162. What are the prime factors of b(-12)?\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*y + 329, -4*u + 3*y - 8*y = -653. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 0*u**4 + 0*u + 0*u**2 - 2 - 1\/9*u**6 + 2\/15*u**5 + 0*u**3. Find v such that z(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(187) - sqrt(187)*2) + sqrt(187))*3 - -2*2*sqrt(187))\/(((sqrt(484)*1)\/sqrt(11))\/sqrt(4)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -57 and -13292615.5.\nAnswer: -13292672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3668 or 3655?\nAnswer: 3655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.01818 millilitres to litres.\nAnswer: 0.07501818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14618209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 138375.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285011144*c**4 + 788406146*c wrt c.\nAnswer: -3420133728*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + -405.\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w**3 + w. Let a be n(-1). Let p(b) be the second derivative of -b**5\/20 - 11*b**4\/12 - 5*b**2 + 4*b. Is p(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 0 + (-1 - 2 + 4)*(-10 + 4 - 4))*(-2*b**3 + 3*b**3 + b**3 - 2) in the form h*b**3 + n + u*b**2 + g*b and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -1)*1 - 62. Let t = c - -80. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 347*n**5 - 130*n**3 - 353*n**2 + 296*n + 19524.\nAnswer: 6940*n**3 - 780*n - 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20379383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11034.99994883 - 11035. What is v rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2b?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b + 22. Let l = 22 + b. Solve l*n = 5*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 - 1 - 137*k + 2*k**2 - 171*k + 316*k + (2*k**2 + k - k)*(k**3 - 2*k + 2*k).\nAnswer: 4*k**5 + 2*k**2 + 8*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = -39*m + 638. Let r(d) = -d - 4. What is r(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4033*v**2 + 4*v + 28. Let a(j) = -1109074*j**2 + 1101*j + 7707. What is 4*a(n) - 1101*h(n)?\nAnswer: 4037*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-6)*(-54)\/1800\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3085742?\nAnswer: 5\/3085742","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -33*-430358\nAnswer: 14201814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*d + 32 - 82 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7732 (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.022 (c) -0.06 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-154)\/(-1)*(-2)\/(-4). Let c(z) = 4*z - 5. Let u be c(4). What is the greatest common divisor of y and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 326172527 + 0?\nAnswer: 326172527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*q + 29730004, -2*q + 152*i = 147*i + 19819990. Round q to the nearest one hundred thousand.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12060 - -168741\/14. Let b(d) = d**3 - 5*d**2 + d + 4. Let l be b(4). What is the common denominator of 156\/l - 2*1 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.056275 - 0.300645. Round j to two dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628576973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29369*b = -29529*b + 3680 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(13) - sqrt(1573)*6)*-6 + (-6*sqrt(104)\/sqrt(8) + sqrt(13))*4)**2.\nAnswer: -1779700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 - 28*g**2 + 570*g\/7.\nAnswer: 2*g*(g - 95)*(g - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.18, 3, 0.9, -1 in ascending order.\nAnswer: -1, 0.9, 1.18, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -213?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5 + 311*r - 152*r - 4*r**2 - r**2 - 163*r - 2*r**3. Let q(u) = u**3 - u**2 - u + 1. Give -5*q(x) + s(x).\nAnswer: -7*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 59841, 64724, 72861, 84252?\n\"Answer: 1627*p**2 + 2*p + 58212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5 + 9*k**4 + 17*k**3 - 69*k**2 - 16*k + 60 = 0.\nAnswer: -3, -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032 + -30232310121?\nAnswer: -30232303023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 378581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/8, -11, -375, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*j - 9932, 0*j = 4*j + 2*a - 9956. Which is greater: 2486 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 417, 3 in decreasing order.\nAnswer: 417, 3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 - 2. Suppose -2*p + 3 = 19. Let t be (-7)\/4 + 2\/p. Let c(o) be the first derivative of 13*o**3\/3 + 6*o + 3. What is t*c(s) - 7*y(s)?\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 466.8 + -533. Round q to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5, -53 = -2*f + 18*p - 23*p. Suppose f*i - 3 - 501 = 0. Calculate the smallest common multiple of 2 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26766609 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*u = -3, 0 = -x - u + 6*u - 29. Let q be (-1 + 6\/4)*-8. Let n = q - x. Which is the nearest to -0.1? (a) n (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*n - 10. Is n + 2 + (-3 - -1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11035 + -11213. Is -178 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3593584, -7187169, -10780752, -14374333?\nAnswer: -17967912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a**3 + 17*a**2 + 4*a - 17. Let z(s) = 16*s**3 - 31*s**2 - 8*s + 32. Let r(i) = 7*f(i) + 4*z(i). Calculate r(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -172, -3, 2 in decreasing order.\nAnswer: 2, -2, -3, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 141?\nAnswer: -4512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9043, 7988, 6229, 3766, 599, -3272?\nAnswer: -7847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2\/5 + 32*l - 320 = 0. Calculate l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g - 7. Let z be w(-5). Let i = z - 9. Is (-198 - (-2 - -3))*i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 4. Let l be 6 - 3\/(-6)*k. Solve 4*i + 0 = -4*x - l, -5*i - 4*x - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 81?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + p = 4371, -3*d + 8*p + 2620 = 6*p. List the prime factors of d.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3167\/8 + -396. What is the nearest to 1\/4 in -2\/5, v, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1434 divided by -6\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-2)*8\/6. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14576 and 103394856?\nAnswer: 206789712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-49)\/(-21))\/(11\/(-15)) and 133\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**5 + 35688*c**4 - 178480*c**3 + 178500*c**2 + 178478*c - 214188 = 0?\nAnswer: -17849, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7512 - 7509. Let i(k) = k**3 + k - 1. Let p(r) = 3*r - 3. Determine s*p(l) - 9*i(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 88. Let u be c(11). What is the highest common divisor of 22 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p + 32. Let c be h(-14). Suppose 3*m - 3*t - 120 - c = 0, -5*m = 3*t - 394. What is the remainder when 3 is divided by 7\/(-2)*(-66)\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 148714043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 11:49 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22425 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*m = -0*m + 20, -5*t - m = -20. Let k be -1*(455\/(-25) + 1\/t). Let d(a) = -1 - 1 + k*a - 16*a. Let w(q) = -5*q + 5. Determine 11*d(l) + 4*w(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1823 divided by 3?\nAnswer: -1823\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*h - h + 10, l = h. Let s(f) = f + 2. Let n be s(0). Suppose 4*c - 10 = -n. Sort c, l, 1 in ascending order.\nAnswer: l, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(567) + 0)*1)**2*-2.\nAnswer: -1166 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 16. Let s be u(-15). Let v = s - -21. Calculate the highest common divisor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 2\/(-14) + 88\/28 + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -15*h + 4. Suppose 5*d + 2 + 8 = 0. Let l(a) = 16*a - 5. Let n(v) = d*l(v) - 3*w(v). Let b be n(6). Calculate the highest common divisor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/8649 + 69122\/302715. Let w(t) be the first derivative of -1\/7*t**4 + 3 + 0*t + 0*t**2 + q*t**5 + 0*t**3 + 2\/7*t**6. What is b in w(b) = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = -1. Solve -2*o = -2 - p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -227*i. Let c(b) = -3*b - 38. Let s(k) = -17*k - 209. Let n(j) = -11*c(j) + 2*s(j). Determine n(t(p)).\nAnswer: 227*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 468 + -447. What is the lowest common multiple of 21 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + 30 - -31) + -53.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887.069 centimeters to nanometers.\nAnswer: 8870690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 415989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 877703948 divided by 2?\nAnswer: 438851974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 886356.749 to the nearest 10000.\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2352, 7885, 16608, 28521, 43624, 61917, 83400?\nAnswer: 108073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31868856 divided by -18\nAnswer: 1770492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwewuuhweweews. Give prob of picking 1 j and 1 s.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 2*a**2 - a. Let y be b(0). Find the common denominator of 4\/(-18) - 6487\/(-4446) - y and -13\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - f)*(-2*f**3 + 2*f**3 - 2*f**4) + (-2*f**4 + 4*f**4 - 5*f**4)*(4*f - 3*f - 2*f).\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4431 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 8, -4*x + 5*o = 6407 - 22855. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 9 = -4*a - x, -68 = -4*a - 2*x. Let p(y) = 7*y**2 + 4*y - 2. Calculate the remainder when p(3) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485474 (base 11) in base 14?\nAnswer: 160128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1014739 and 1752731.\nAnswer: 19280041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 22*w + 432 = 0. Suppose 0 = -5*n + 2*u + 56, -4*n + 4*u = n - 62. Calculate the lowest common multiple of n and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = 0, -i + 3*a = -6*i - 22. Let f be i + 1 + 4\/1. Suppose 5*d - k + f*k - 43 = 0, 0 = 3*d - k - 28. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**33)\/g*g)\/g**34)\/((g**38\/g)\/((g*g**(-7\/3)\/g)\/g)) assuming g is positive.\nAnswer: g**(-319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-9) + 1\/3. Suppose 0*w - 93 = -m*f - 3*w, 5*f + 2*w = 92. Let j(k) = 25*k - 40. Calculate the remainder when j(3) is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, 8, 0, -283, 18, 2 in decreasing order.\nAnswer: 18, 12, 8, 5, 2, 0, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*j + 11 = 0, 2*z + 2*j + 6 + 12 = 0. Let f = -3 - z. Suppose 5*h + 12 = -f*t, -2*t = 4*h + 2*t + 12. Are -1 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncigncgngggi. Give prob of sequence cgii.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 2061866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 22519\/4 (c) 0.024 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - o + 92, -q + 22 = -3*o - 14. Solve -3*f - q = -5*g, -2*f + 0*f = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2)*p)*p)**(-33))**(-19)\/((p*p**(-5\/2)*p**3)\/((p**(-4)\/p*p)\/(p*p*p*p**(-2)))) assuming p is positive.\nAnswer: p**(3749\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 40\/(-28) + 1139\/(-2814))\/(6\/4)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 12:37 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 611 (base 7) to base 10\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(0 + 2\/6). Suppose f - 5 = -u. Let x(g) = 4*g**2 - 2*g**u - 4*g**2 + g**2. Let z(d) = d**2. Give x(z(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:47 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1052 - 1200 + 148 + 4*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from hhqqhhqqhhqh.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = -p. Let k be (2\/p)\/(3\/5). Sort 5, -0.4, k in descending order.\nAnswer: 5, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnsnsnnnnnnnsnnnnn. Give prob of picking 2 n and 2 s.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 563440534?\nAnswer: 563440533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/266 - (-45110)\/38 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faayyaayyfaa. Give prob of sequence ff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f\/f**(-12)*f*f)*f*f\/f**(-1\/3))\/(f**1)**10 assuming f is positive.\nAnswer: f**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 p, and 1 t when four letters picked without replacement from {w: 5, h: 1, p: 3, d: 1, u: 8, t: 2}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-418)\/(-138) - 3). Let j be i\/165 - (-4)\/(-22). Put -2, -1\/10, j in ascending order.\nAnswer: -2, j, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2571702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 363 by -2.\nAnswer: -363\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 1 - 1. Let z(h) = -139*h + 2. Let w(a) = 58*a - 1. Let p(g) = 9*w(g) + 4*z(g). Calculate n(p(x)).\nAnswer: -34*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -677.\nAnswer: 11\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 7*l**2 - 12*l - 63. Let k be u(-3). Let y(r) = 3*r**2 - 28*r + 3. Give y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340260 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 5. Let k be -4 + -2 + 6\/((-4)\/(-2)). Let h be n(k). What is the first derivative of h + 5*b + 0*b + 2*b - 2*b wrt b?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2542.92 - 2417. Let x = -1.92 + j. Let v = x - 123. Which is the second biggest value? (a) 5 (b) -0.3 (c) -1\/3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + (4 - (-214)\/(-6)). Let s be (-36 - v - (-4 - -1))*3. Sort 0, 5, s, 2 in decreasing order.\nAnswer: 5, 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -303\/35 + 44\/5. Let j = -0.03 + 0.43. Sort j, f, 0.5.\nAnswer: f, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 9*m**2 - 10*m + 8. What is the tens digit of d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - b - 54*b.\nAnswer: -52*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434913334 to the power of 1\/3, to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 226315432*i**2 - 146207458 wrt i?\nAnswer: 452630864*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 94*p**2 - 685*p - 60. Calculate v(86).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Suppose -q + 18 = 3*q - m*z, -4*q - 3*z + 6 = 0. Find the second derivative of -q*x + 0*x**4 + 2*x**4 + 4*x wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -221*s**2 + 43*s + 5*s - 1 - 282*s**2 - 9*s wrt s?\nAnswer: -1006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 0.4, 1, 2, -8 in decreasing order.\nAnswer: 2, 1, 0.4, -2\/17, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 3*a. Let j be d(4). Let v(l) = -2*l + 6. Let h be v(j). What is the tens digit of 2*h\/2*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4094, -4, 358?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 - 20*x**3 + 78*x**2 - 8*x - 104 = 0.\nAnswer: -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**4*x)\/x*x)**(-17))**(13\/5) assuming x is positive.\nAnswer: x**(-1326\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191246 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*k - 5*g, 18 = 4*k - 0*g + 2*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264 + -15?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.216417866 to 3 decimal places.\nAnswer: -0.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -276569, -553138, -829707?\n\"Answer: -276569*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 6*6\/(-44). Suppose -n + 20 = 4*n. Suppose -9 = n*d + 11. Which is the third biggest value? (a) h (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1209 - 183 = 54*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 11) to base 16\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 40 + 32. Let d = b + 91. Solve v**2 + 64*v**3 - 4*v**2 - d*v**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 83638*w**2 - w + 1. Let v be u(-1). Suppose 0 = h + 16*h - v. What is h rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + k - 63. Calculate g(0).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1560 and 67\/192360.\nAnswer: 2500680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/22)*q**1*q*(q\/(q**(-3\/23)*q))\/(q**(-5)*q))**(-42) assuming q is positive.\nAnswer: q**(-77217\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4 + sqrt(3) + sqrt(48))**2 + sqrt(27)*-3).\nAnswer: -273 + 147*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 62 = -q + 114, 0 = -5*i - 5. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((-3 + 2)*-2). Suppose -69 = -a + 2*l, 8*l - 97 = -a + c*l. Calculate the greatest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(480)*-3)\/((3*sqrt(36) + sqrt(36))\/sqrt(3)))\/(sqrt(800)*1 - -1*sqrt(512) - 4*(2*sqrt(8) + sqrt(8))*-6).\nAnswer: -sqrt(5)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*(-6 - (-440)\/66).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f*f\/f**(-8\/5)*f)\/f)*f*f**(-4\/15)*(f**(-11))**(-11))**(-2) assuming f is positive.\nAnswer: f**(-3544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 10 - 2. Let z = k + 8. What is the remainder when 35 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1442 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 243596*k - 243600.\nAnswer: 4*(k - 60900)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 10\/17 (c) -4\/7 (d) -1\/4 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -2210, -7161, -16720, -32423?\nAnswer: -55806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 295039832 to the nearest integer?\nAnswer: 17177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 79 = 43*f, 2*f = 12*s - 16*s - 46 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-1)\/(-2))\/1. Suppose -4*x + 42 = 2*n, d = x + x. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -75653, -74306, -70631, -63464, -51641, -33998, -9371?\n\"Answer: 194*t**3 - 11*t - 75836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = -87*b + 168 + 119 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 147, -1\/341886, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2 - 6 - 4*v + 2. Let l(h) = h + 1. Let r(w) = 12*l(w) + q(w). Find the first derivative of r(s) wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 656 - 608. Is (o\/(-20))\/(3\/(-250)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51.5189 times -14\nAnswer: -721.2646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 44314, -0.19, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-25) - (-21)\/30*14. Suppose 13*l + 9 = n*l. Sort l, -4, 1 in descending order.\nAnswer: 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 83 - 146 - 1673*g + 1713*g in the form x + u*g and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 474544?\nAnswer: 4270896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z - 3*z - 5*z - 24*z**2 to the form m*z + w*z**2 + s and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 9*q = 5*f - 9977, 0 = q + 4*f - 9978. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 10. Let m be k(7). Factor 2 + m*v**5 + v**4 - 2 + 2*v**4.\nAnswer: 3*v**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**3 - 46*r**2 - 457*r - 3005. Give a(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 96792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, f: 4, r: 1, p: 4}. Give prob of sequence jrpf.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 271392688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 11*q + 150 = 0. Let b be 0 + (-1 - q) + -2. Suppose 3*y = -l + b, 0 = -l - 2*l - 3*y + 75. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3270 = q - 3*g, -4*q + 16238 = q + g. Calculate the remainder when q is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 3:13 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 27\/4275772?\nAnswer: 27\/4275772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19882 and 146857572?\nAnswer: 146877454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -46992.\nAnswer: 5\/46992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 2. Let c be t(4). Suppose -o = c*o - 12. Let r(p) = 2*p**2 - 4. Let v be r(o). Calculate the greatest common factor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d = 0. Suppose -3 = s - d. Calculate the remainder when 11*(s*5)\/(-3) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7037 and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46426415857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 481 - 4550 = 0. List the prime factors of p.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 5, x: 3}. What is prob of picking 2 d and 2 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*j + 26, 4*j - 5 - 7 = -4*f. Solve -6*h + 5*v = -h + f, -4*v - 14 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d - 15. Suppose 6 = -d*t + 16. Let s(v) = -v**2 + 4*v**2 - t*v**2. Let b(r) = 4*r**2. Calculate s(b(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 - cc?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1524, -6101, -13728, -24405, -38132?\n\"Answer: -1525*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 11:23 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, o: 1, x: 4, v: 1, r: 3}. Give prob of sequence xvr.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**6\/120 + h**5\/60 - 7*h**3\/3 + h**2. Suppose 0*v + 4*v = 0. Determine g(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1) - (9\/3)\/3. Let z be (16\/28)\/(p\/42). Calculate the greatest common divisor of z and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 18, -1, -0.67?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*x**3 + 81*x**3 + 67*x**3 - 237*x**3.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 83722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**18*y*y**3*y*y\/(((y**4*y)\/y)\/y)*y*y*y)**(-2\/5) assuming y is positive.\nAnswer: y**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(1\/2)\/n)\/n*n)**9\/(n*n\/(n*n*n\/(n*n\/((n*n**(1\/4))\/n*n))))**31 assuming n is positive.\nAnswer: n**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 61*z**4 + 53*z + 828*z**3 - 336*z**2 - 385*z**4 - 32 - 293*z + 104*z**2 = 0. Calculate z.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 6*r**2 - 3*r - 2. Let g = -95 - -101. What is p(g)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*z**2 + 3 + 5*z + 0 + 72*z**2 + 73*z**2.\nAnswer: -z**2 + 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23657, -189168, -638373, -1513118, -2955249, -5106612, -8109053, -12104418?\n\"Answer: -23641*q**3 - q**2 - 21*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/126 and 65\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 - 52?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-284)\/(-13) + 38\/247. Find the third derivative of 2217 - 2217 - 6*m**2 + h*m**5 wrt m.\nAnswer: 1320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -4 (b) 2\/7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18356 + 2780 = 454*y + 18*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpxg when four letters picked without replacement from kkgnknkxpkxpnnnpk?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31267 is divided by 14796?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 103*g + 80*g**2 + 320*g**3 + 108*g - 231*g - 5 = 0.\nAnswer: -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.24 and 0.022.\nAnswer: 0.00528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)\/p*p*p)**(-28)*(p**(-1)\/p)\/((p\/(p\/p**(5\/3)))\/p)*(p\/(p\/p**(2\/3)*p))**(-46)\/(p**4\/(p\/p**(4\/7))) assuming p is positive.\nAnswer: p**(-565\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 1. Let b be f(-3). Let l be 5 - (b\/2 - -6). Solve -4*h + 12 = -l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + -2.9. Let n = q - -1.1. Let s = 0.499998 + n. Round s to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 26 = -4*k, -4*k + 248*n - 130*n - 44 = 122*n for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 729 = -2008 - 143. Which is the nearest to o? (a) -2\/11 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 4)\/(((-3)\/25)\/3). Suppose -3*n + 4*y - 5 = 0, 0*n = -3*n - 2*y + g. What is the remainder when 18 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77684023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -2269128?\nAnswer: 2269127.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.736 * -0.19\nAnswer: -0.32984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 483551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 45. Suppose c + 5*c = 0. Suppose -4*b = -c*b - 20. Solve 2*r + 8 = b*r + 4*k, -u = -3*r + 3*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 7*k**4\/12 - 4*k**3 - 113*k**2. What is the remainder when h(6) is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11447*r - 922 = -5809*r - 5749*r + 521 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -8*h + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(245)) - ((sqrt(5) - sqrt(10)\/sqrt(2))*-4 + (sqrt(5) + sqrt(5) + -1)*3)**2.\nAnswer: -188 + 43*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16621976*c**3*v**2 + 4*c**3*v + 2*c**3 + 5239*c*v - 15 wrt v?\nAnswer: -33243952*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, n: 1, p: 3, v: 7}. Give prob of picking 3 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 4)*(-2*l - 2*l + 2*l) - 2*l - 2 + 2)*(-3299*l**2 + 2520*l**2 + 1846*l**2).\nAnswer: -4268*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25781 and -32.\nAnswer: 824992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10 and 151\/372?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-16)\/(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - l. Let i = 127 - 133. Let j(m) = 8*m**2 + 6*m. Calculate i*f(p) - j(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/4 (b) -2\/7 (c) -5\/7 (d) -0.1 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*c**2 + 203*a**2*c - 10*a**2 + a*c**2 - 11068*a + c**2 wrt a?\nAnswer: -8*c**2 + 406*c - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 12*q + 17*q + 1225 = 0, -5*i - q = 1205. Calculate the remainder when 30 is divided by 77*(7 + i\/35).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, -47, -55, -65, -77, -91, -107?\n\"Answer: -c**2 - 3*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53, -64, -15, 124, 383, 792, 1381?\n\"Answer: 5*r**3 - 46*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1b0 (base 16) to base 8\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/(-12))\/(2\/8). Let x = 17 + i. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/192*3\/(-10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/24*-4*(-3)\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -542771 and 0.3?\nAnswer: -162831.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**11\/18480 + f**7\/840 + f**4\/6 + 2*f. Let k(u) be the third derivative of w(u). Find the third derivative of k(l) wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 2*q**2 - 3*q + 4*q**3 - 3*q**3 + 4 - 5*q**2. Let s be z(-4). Let u = -12 - s. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 919 + -518. Suppose 0 = -2*t - 4*l + 3*l + q, -5*t + 4*l + 1035 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9*4)\/(450\/600). Solve -18*n = o - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 + 22.8799\nAnswer: 25.0799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 16, e: 4}. Give prob of sequence ggeg.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 2*i - 9. Let d be r(7). Let o be (d\/134)\/(2\/(-2) + 2). What is m in 0*m**3 - 1\/2*m**4 - m + 0 + o*m**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 51, 82, 119, 162?\n\"Answer: 3*z**2 + 16*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1985*v + 121 = 1974*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17628741 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2898 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -49.9 (b) -303 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 47 - 171. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 13*t**3 - 3*t**3 + t**3 - 8*t**3.\nAnswer: -23*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 15. Let m be (-2 - (-70)\/6)\/((-1)\/3). Let a = m - -23. Let l be c(a). Solve 0 = -4*u - 2*b + 10, -l*u + 8 = 3*b - 2*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (7 - 39) - 20.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 + 54. Let k be 3 + f\/((-2)\/(-2)). Which is greater: k or -12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 20.58782 kilometers?\nAnswer: 20587820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v + 3. Suppose 3*d + 12 = -2*z - z, -26 = -z + 5*d. Suppose -m - z - 2 = 0. Let c = m + 3. Give w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*a - 182*a + 102*a - 160*a)*(0 + 1 + 1).\nAnswer: -714*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -18. Is (p - -2)\/(0 + 2\/(-1994)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3120, 17, -0.9, 0.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/6 and 67\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55*14\/1078*3\/3.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*g**5 + 2*g**4 - 65*g**3 + 276*g**2 + 28.\nAnswer: 540*g**2 + 48*g - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - p = 12. Let b be ((-32)\/(-24))\/(p\/(-6)). Let c be (-4)\/(b + 139996\/(-35000)). What is c rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 106\/365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(176)*-3)**2.\nAnswer: -72*sqrt(11) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 5054897 and 5054879 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 181*i**3 + 8*i**2 - 7*i + 4. Let x(u) = 14*u**3 + 1. Let j(s) = m(s) - 13*x(s). What is j(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250.92 - -256. Let t = 0.08 - k. Sort t, 0.5, 2\/7 in increasing order.\nAnswer: t, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65.33 - 1.67. Let c = 71 + m. Let p be (-10)\/8*(-4)\/(-20). What is the second smallest value in 0, -2\/13, c, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19590 + -18111. Calculate the remainder when i is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251*b*i**3 + 40*b*i**2 - 4243*b - 60*i**3 wrt i?\nAnswer: -1506*b - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1 + 9362186?\nAnswer: 9362177.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + (-45)\/(-18). Let u(w) = 11*w**h + 8*w**2 + 23*w + 11 - w**3 - 2. Is u(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 4:07 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419708932?\nAnswer: 2, 103, 1018711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**3 + 15*i**2 + 5*i - 17. Let s be r(5). Let h(w) = 2*w**3 - 14*w**2 - 2*w - 21. Calculate the remainder when h(s) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -19*s**3 - 13*s**2 - 13*s + 21. Let r(w) = -9*w**3 - 6*w**2 - 6*w + 10. Suppose i + 68 = 5*f, -2*i = 2*f - 8 - 12. What is f*r(z) - 6*m(z)?\nAnswer: -3*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -4599?\nAnswer: -4599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/6 and 0 + -2 - 44\/(-40)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 8. What are the prime factors of u(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8333\/7 - -1196. Calculate the common denominator of 0 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1504785681 to the nearest integer?\nAnswer: 38792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 10, -0.02, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17220 and 1470.\nAnswer: 120540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 449 - 234. Let v = 217 - j. Calculate the remainder when 5 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -888*g - 4. Let m be d(4). Let r = -2540 - m. What is the second derivative of 19*u**2 - r - 13*u + 1016 - 7*u wrt u?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24739028 to the power of 1\/2, to the nearest integer?\nAnswer: 4974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + 6. Solve q - g = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4643, -3474, -1519, 1228, 4773?\n\"Answer: z**3 + 387*z**2 + z - 5032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (1 + 103\/(-3))*(-2 + -88).\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 984 and 260924?\nAnswer: 1565544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 460147447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2853062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.63 + 0.33. Which is the nearest to 3? (a) -1\/2 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19284841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2) + -5 + 4 + 2)**2.\nAnswer: 6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 38) + (-6 - -30)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 934346 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4512.9883 + -1460.8.\nAnswer: -5973.7883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02 and 1182.\nAnswer: 1182.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37105502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6*y = 6. Let k be (y\/((-6)\/5))\/(6\/(-12)). Solve 0 = -5*v - 0*v + 5*c - k, 0 = 5*v + 2*c + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (7 - 13) + 12 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 358656 and 5120.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c. Let z(x) be the third derivative of -x**6\/90 - 11*x**3\/3 - 13*x**2. Let n(j) be the first derivative of z(j). Determine n(g(l)).\nAnswer: -324*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6414 + (-4 - (-1 + 1)). Is (0 - 2)\/((-20)\/w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1665*t - 7. Let c(z) = -1112*z + 5. Determine 7*c(m) + 5*d(m).\nAnswer: 541*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + 54. Let u = 100 - j. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 - 303 = -3*m - 4*w, -8*m + 19 = -w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 21\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 269, 568, 867?\n\"Answer: 299*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 96 = -9*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 9, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r**3 - 248*r**2 + 121*r + 256. Let v be x(-28). Factor -20\/3*k**2 - v*k**4 - 28\/3*k**3 + 0 - 4\/3*k.\nAnswer: -4*k*(k + 1)**2*(3*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165 - 3030*n**3 - 162 + 17*n + 1188*n**3.\nAnswer: -1842*n**3 + 17*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 30*y**2 + 3. Let k(j) = j + 18. Let m be k(-16). Let d(u) = 49239*u - 49239*u - m*u**2. Calculate s(d(z)).\nAnswer: 120*z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220.9889 meters to nanometers.\nAnswer: 220988900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2\/2 + 2796685*q\/4 - 5942775 = 0 for q.\nAnswer: 17\/2, 279660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6490403 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 787 divide 1567265769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxqx when four letters picked without replacement from {x: 3, q: 13}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 11:37 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 less than -1.91?\nAnswer: -5.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**4\/4 + 53*y**3\/6 + 4*y**2 - 341*y. What is z(0)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29376173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18))\/(21\/(-9)) - (1888300\/(-525))\/92.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1414 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkt when four letters picked without replacement from {t: 8, u: 1, k: 6}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/7))**46)**(-3\/8) assuming f is positive.\nAnswer: f**(-621\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 223*v**2 - 2 + 28*v**3 - 223*v**2 - v**3 - 3*v**3 + 5*v**3 + 2*v**2 - 2*v**2 + 2*v**3 + (v**2 + 3*v**2 - 3*v**2)*(0*v + 4*v - 5*v) + 2*v**3 + 0 + 0.\nAnswer: 32*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 4*a - 2*a)*(6 + 0 - 4)*(4*a**2 - 2*a**2 - a**2) + 6*a - 11*a + 9*a**3 - 2*a**3 as x*a**3 + m*a + t*a**2 + h and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 1 + 1 + 177*u**2 - 27*u**2 + 2*u. Is v(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*p**4 - 111*p**3 - 23*p - 21124?\nAnswer: -16*p**3 - 333*p**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 13*q = -64. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3613.25686095 less than 3?\nAnswer: -3610.25686095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 17*g - 1344 = 0. Suppose -5*s + 68 = -g. What is the lowest common multiple of 88 and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4 + 2, 5*t - 36 = -2*x. Let q be ((-81)\/6)\/((-2)\/8). What is the highest common divisor of t and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -864 (c) -3.326\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 205 + -86. Let t = 119.00049 - a. Round t to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48 and -450.4.\nAnswer: -402.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(7 + -6)*(-1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*l - 10, -3 + 5 = u + l. Solve 3*c + 7*c - 10 = u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5622, -4, -1\/3 in descending order.\nAnswer: -1\/3, -4, -5622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4381662281 to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 59\/6. Let d(y) = -2*y - 30. Let a be d(-14). What is the nearest to 0.2 in a, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -2. Let g(p) = 3 + 245*p**2 + 1 + 8*p - 7*p - 5*p. Let r be g(h). What is r rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*z - 7*z + 24, 5*z - 20 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:48 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1468 + 1475. Let g(m) be the first derivative of m**4\/4 - 2*m**3 - 5*m**2 + 8*m + 1. Give g(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31797.\nAnswer: 3, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, e: 2}. Give prob of picking 4 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1710401?\nAnswer: 7, 11, 97, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6586 + 6362. Are -233 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316.1 times -8705?\nAnswer: -2751650.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 8. Let b be z(-5). Let l(h) = -3*h + 0 + 3 - b. Let x(d) = d. Give x(l(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + b + 0)*(-2 + 4 - 1) + 28*b - 14*b - 24*b - 2*b + b + 1 + 3 to d*b + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + (-7)\/(-3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -65. Put 2\/49, 0, d in decreasing order.\nAnswer: d, 2\/49, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(210))\/sqrt(7))\/(sqrt(6)*1*3) - ((1 + (sqrt(245) - (sqrt(245) + sqrt(245) + 0)))**2 + (sqrt(245) - 1*sqrt(245))*6).\nAnswer: -246 + 40*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Simplify -1 + ((-3*4*(-1 + sqrt(1331) - sqrt(1331)))**2 - 3*(0 + sqrt(1331) + -5)**2)*-3 + -5.\nAnswer: -990*sqrt(11) + 11766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -821 divided by -5?\nAnswer: 821\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 - 8*m - 9. Let b be p(3). Solve 10*t - 13*t + b = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - ((-3 - 23) + -3). Let i(l) = -6*l + 5*l - x - 2*l. What is the remainder when 10 is divided by i(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12952*q - 1103. Is o(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 6000154.\nAnswer: 552014168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n. Let t(u) = 2*u**2 + 8*u - 2. Let q be t(-6). Let m be q\/10 + 2\/(-10). Calculate the remainder when 62 is divided by d(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6412*b**2 - 2134*b**2 - 2142*b**2 - 2140*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 146 = 467. Let z be -2 + b\/9*3. Let u be 2\/6 + 40\/z. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243486648 a multiple of 4968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/38003720 and 29\/3280.\nAnswer: 76007440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.2 + -15. Let y = 360 - 360.26. Let o = y - -1.26. Which is the closest to o? (a) -3 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1168933, 1168919, 1168905, 1168891?\n\"Answer: -14*k + 1168947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 60592 = 3*v + 181969, -4*v + 121328 = 3*p. What is the greatest common factor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -74*h - 3. Let v be l(-3). Suppose 0 = -2*i + 3*y + v, 2*i + 0*i + 3*y - 213 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 17*j + 12. Give y(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-6)*394\/(-4925)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7636, 15270, 22904, 30538?\n\"Answer: 7634*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most -3067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**4 - 4*k**4 + 0*k**2 - 1 - 3*k**2 + 2*k**3 + 2*k**2 to the form m*k + c*k**2 + d*k**4 + p*k**3 + h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3 + 4*q + 2*q**2 - 3*q**2 - 2*q. Let f = -14 - -11. Determine m(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 74130020\/70 + 2 + 80\/(-35). Round t to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -7\/3 (c) 2 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/4 + 2*g. Let s = 201 + -169. Let j(h) = -18 - 14 + s - 7*h. Calculate i(j(c)).\nAnswer: 147*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**3\/3 + 2*x**2 + 2*x - 2. Let i be v(5). Let c(b) = -2*b - 4. Let l(p) = 4*p + 7. Let n(a) = 5*c(a) + 3*l(a). Give n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 2, w: 2, f: 4, q: 2}. What is prob of sequence qw?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21327975 divided by -5?\nAnswer: -4265595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away -40744782.2983?\nAnswer: 40744773.2983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33385 - -3.66615. What is the fourth smallest value in 7, 1.1, -4, w?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -155. Let n = u + -72. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/114*-8*(13\/2)\/(-13)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnnknnnznnnnnnnnknk.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/1057 - 5239\/48622. Let g = 212926 - 212926. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*z + 56 = 0, 0*h + 2*h + z - 56 = 0. Are h and 29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/28 + 1)*(-7)\/6. Let d = -0.12 + 0.2. Let p = 0.14 - d. Sort l, 3, p in increasing order.\nAnswer: l, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870728401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -2\/9 (c) 4 (d) -2 (e) 4404\/11 (f) 3\/5 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -28*k - 20. Let x be v(-22). Let i = x - 388. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*k = 160, -2*j = -4*k + 8 - 118. Let a be (6\/(-5))\/((-3)\/j). Let w = -12 + a. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 56 + 25 + 28 + 6*k + 4*k in the form z*k + j*k**3 + b + a*k**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/105 and 29\/23130.\nAnswer: 161910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*f + 2*m - 10 = 0, 0 = -5*f - 5*m + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/((-3)\/8). Let c = 1.3 - 1.16. Let h = -0.34 + c. What is the closest to -0.1 in z, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2401 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.6 from 6092597679611.\nAnswer: 6092597679612.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 301 + 301.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 246, 351, 438, 501, 534, 531, 486?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 578 + 5409. Round f to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.9 + -10. Suppose -a + 8*c = 3*c - 15, 0 = -a - 2*c - 20. Let m = 2 - a. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 22. Let p be d(15). Suppose 31 = 18*t - p. Suppose -4*n - l - 28 = 3*l, 4*l = 3*n - 7. Sort n, 5, t in descending order.\nAnswer: 5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 3. Let t(z) = -z + 29. Let x be t(14). Suppose -6 = -4*a + 10. Suppose -4*u = m + x, -2*m = 2*m - a*u. Give i(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 207 - 192. Suppose c*k - 10*k - 550 = 0. Does 55 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37679 + 188404\/5. Factor n*o + 6\/5*o**2 + 4\/5 + 1\/5*o**3.\nAnswer: (o + 1)**2*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a. Let t(x) be the second derivative of 0*x**2 + 0 - 7*x + 0*x**3 + 7\/12*x**4. What is t(o(n))?\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**2 + 3648*h + 12074 wrt h?\nAnswer: 4*h + 3648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 0*a - 3*a + (-2*a + 5*a - a)*(-3 + 3 - 2) + a - 1 + 1 + a - 1 + 1 - 12526*a + 264 + 6260*a + 6256*a to the form h + p*a and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -6, 5\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 227495.2 centimeters in nanometers?\nAnswer: 2274952000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -145\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409*a + 50 = -399*a. Let t(f) = 0 + 7*f + a*f + 4*f + f**2 - 1 - 15*f. Let z(v) = v**2 - 4*v + 4. What is -4*t(m) - z(m)?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 242 - 46661?\nAnswer: -46416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4535 (base 6) in base 4?\nAnswer: -100223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*2\/(-3)*-1450. What is f rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from qqekdekx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 9, 3, -3, -18 in increasing order.\nAnswer: -18, -3, 3, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from sffcsc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9.6. What is the smallest value in -0.2, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, -151, 0.4, 3\/5, 6, 2\/89?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3 - 33. Let v = w + -15. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (56\/2)\/(3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 3*x**2 - 247*x - 483. Give s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1\/28)*b))\/((b*b*b**(1\/3))\/b))\/(((b*b*b**(-1\/4)\/b*b)\/b)\/((b\/(b\/((b*b**(-16)*b*b*b*b)\/b)))\/b)) assuming b is positive.\nAnswer: b**(-316\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-24))\/(-7*80\/(-224))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**2 - 15. Let g(j) = -3*j**2 - 7. Let h(m) = -2*f(m) + 5*g(m). Let u(s) = 1. Suppose -25 = 2*q - 7*q. Let r(w) = q*u(w) + h(w). Solve r(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.6 minus -7?\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 252*l - 252*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-3) - (-23)\/(-303 + -19)*112\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 18561, 10 in descending order.\nAnswer: 18561, 10, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16429*l + 203091 = 1281747 + 613531 for l.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25886388 is divided by 622?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - -3 - (-2 - (6 - 4) - -12).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 13 = -2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 4\/3*p**4 - 84*p**2 + 0*p + 0*p**5 + 0*p**3 + 0 - 11\/30*p**6 + 1\/105*p**7. What is the second derivative of c(h) wrt h?\nAnswer: 24*h**2 - 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663 and 5109?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j = 2. Let c be j\/(-3)*(-15)\/(-70). Sort -3, -2, c in descending order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/619 and 50\/7.\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(560) - 2*sqrt(560)))\/(sqrt(605)*-2 + sqrt(605) - sqrt(25)\/(sqrt(5)*-2 + sqrt(5))).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/40)\/((-71)\/10792)*(-2)\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50 - (-4 + (13 - 4)). Suppose 0*q = -h + 2*q + 3, -5*h - 5*q = -w. Is (2 - -6692)*h\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28886710 to the nearest integer?\nAnswer: 5375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 + 0 - 2) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4*b - 5 = 0, 2*a + 2*b - 7*b = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1368 smaller than -1353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 44, 7, 76065?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958191141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17780 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 10868540?\nAnswer: 10868540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1050 (b) 5\/3 (c) 4 (d) -31.3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 562, 4, 1.8, 0.5, 9\/4, -0.1?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124.9998706 - 125. What is w rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-4)**2 - (4 + sqrt(11)*1)**2) + ((sqrt(11) - (sqrt(396) + 2))**2 - (6*(sqrt(22)\/sqrt(2))**2 + sqrt(11))) + -4.\nAnswer: 11*sqrt(11) + 2998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = -2*s, 4*s - 2*p = -1 + 23. Suppose 3*i = 5*a, -6*i + 2*i - s*a = 0. Let g(j) = -j + 3. Determine g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45757359 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.75 - 0.25. Let i = 2943.8 - 2944. Let g = 11 - 8. Which is the closest to l? (a) g (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87, 175, 263?\n\"Answer: 88*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 3*k**2 + 3*k - 5. Let v be y(3). Let b be v - (-3)\/((-6)\/4). Is 10\/10 + 1097*b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 4*s = -54, 14 = 2*s + 8. Let u = -583\/5 + 116. Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 - 297261\nAnswer: -297257.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 47\/10*j**6 + 0*j**2 + 5\/6*j**3 - 2*j - 11\/12*j**4 + 140 + 0*j**5. What is the third derivative of y(x) wrt x?\nAnswer: 3384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) 1\/5 (c) 8 (d) -1\/7 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/88)\/(20\/(-22)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - 3. Suppose 0*n = 5*n - 125. Let w = m + n. Solve -5*i + 5*d - 2*d - 11 = 0, -3*d + w = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.39 + 1.51. Let k = -1.6 + f. Which is the third biggest value? (a) 5\/2 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 0*q**2 + 5*q + q - q**2 - 7. Calculate the remainder when 20 is divided by t(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2293?\nAnswer: -5\/2293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 4) in base 13?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 322*s - 225. What is the tens digit of g(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225256 = 2607*s - 88*s - 58*s + 13610 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 2*h - 2. Let b(q) = -15*q**2 + 15*q + 15. Let c(k) = -b(k) - 7*d(k). Let m(p) = 35*p + 35. Calculate -35*c(u) - m(u).\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3\/4 + 251*w**2\/4 - 1697*w - 1760 = 0.\nAnswer: -1, 32, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*h + 645 = -99*h + 2185 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4740 + 8682 = 2*y. List the prime factors of y.\nAnswer: 3, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2205 is divided by 439.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 3*g - 3*g**2 - 4 - 3*g + 2*g. Let c be z(-4). Let k be 1\/c - 4\/(-16). Solve k*t - 6 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1968123112.\nAnswer: 2, 157, 1009, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.6844 times -25.5?\nAnswer: 476.4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23200 and 320?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -a, 2*d - 3*a = -3*d - 1. Suppose d = 3*z - 8. Solve 5*y = -z*m - 8, -m - 8 = 3*m + 4*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/3 - d. Let w(n) = 13*n**3 - n**2 + 1. Let m be w(1). Let p(b) = -b + m - 13. Give p(j(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, 78, 418, 1082, 2178, 3814, 6098, 9138?\n\"Answer: 18*y**3 - 2*y - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifetd. Give prob of sequence tf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.06, 2\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k + 80. Let n be k\/36 - (-4)\/(-18). Let m be (n - 1)\/((-4)\/(-12)). Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*j - 16, h = 4*j - 0*h + 16. Let q be (-9)\/6 + (-18)\/j. Solve 3*m - 3*u + 6 = -u, q*u - 10 = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1694 is divided by 456?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16\/35 - 3\/70. Let s be 4\/20 + (-9)\/(-5). Suppose 0 = -s*y - 0*y + 8. Do p and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(272)*-1 + 2))**2 - (0 + sqrt(272) + -5)**2*6.\nAnswer: 96*sqrt(17) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 + 214. Suppose 4*n + 0 = 8. Suppose 0 = -3*i + 3*g + 9, i + 3*g = n*i - w. Solve 0*m - i = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -544*h. Let g(z) = 7378*z. What is b(g(x))?\nAnswer: -4013632*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3. Let u be 6\/(-54) - 22\/(-90). Let l = 0.2 - 0.4. Which is the closest to v? (a) l (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 + -107. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4313000 (base 5) to base 3.\nAnswer: -10200222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:25 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 14, k: 4}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**4 + 130*g**3 - 425*g**2 + 290*g = 0.\nAnswer: -29, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3)*(15 - 6). Let i(a) be the first derivative of -a**2\/2 - 3*a + 3. Determine i(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0*j)\/j)**45*(j\/j**(2\/7))**(2\/59))**(-1\/22) assuming j is positive.\nAnswer: j**(-5\/4543)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4) + 462\/(-24). Let w = -17 - q. Solve w*j + 5*s = 40, -5*j - s = -j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 0*f**2 - 5*f**2 - 2*f**3 - 11 + 6 + 2*f**2 + 2*f. Is c(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2050*s + 5*k + 26 = -2048*s, 3*s - 18 = 4*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**2 + 6*p**2 - 2*p**2 - 4*p**5 - p**5 wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57481.54 rounded to the nearest 10?\nAnswer: 57480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(5 + -4) - (-60)\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/10 and ((-10)\/(-24))\/(5248\/(-720) - (-2)\/9).\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2832 divided by 4.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.5 + -9.5. Which is greater: 1\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355603.\nAnswer: 23, 15461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g - 31. Give n(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11734704823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -2, 8, -3, 2 in descending order.\nAnswer: 8, 2, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -508, 3, 1, -35, 2, 0 in increasing order.\nAnswer: -508, -35, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l + 58*l = 2*l + 528 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 4. Let a be o(4). Let u(b) = -2*b + 3*b + b**2 - a*b. Let x(l) = 4*l**2 - 12*l - 1. Let d(y) = 9*u(y) - 2*x(y). Factor d(s).\nAnswer: (s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12048*n - 1120*n - 1475*n to d + a*n and give a.\nAnswer: 9453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -94595, 3655, -4 in increasing order.\nAnswer: -94595, -4, 3655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-17170)\/3544)\/5 - (-13 + 25)\/(-12) and -39\/40?\nAnswer: 17720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by -8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(125)) - ((-1 + sqrt(125) - sqrt(125)) + 0) - -6*(sqrt(125) + -2)*-6) + -5)**2.\nAnswer: -26520*sqrt(5) + 194749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -5*j - 41*j. Put -30, -1, j in increasing order.\nAnswer: -30, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z - 4 = -36*z - 4*q, 3*q + 6 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4272 by 3.\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(10\/7))**(1\/14) assuming g is positive.\nAnswer: g**(5\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259.1 + -279.79. Let a = g - 5.21. What is a rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -2654 - 206. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/32*758\/(-9475). Let n = -1727\/15 + 115. Which is the fourth smallest value? (a) k (b) n (c) 2\/9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 41*k**2 - 2*k. Let c(i) be the third derivative of -i**5\/30 - 66*i**2. What is c(h(q))?\nAnswer: -3362*q**4 + 328*q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6015496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44166 + -44163. Suppose 4*l = -2*h - 4, 4*h - l = 2*h - 4. Let y = -2 - h. Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109 and 209.\nAnswer: 22781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/15 - 87\/285. Let w = 3382 - 3381. What is the closest to w in -0.1, g, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 3, f: 5, l: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 10:15 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3944969\/48 or 82188?\nAnswer: 3944969\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -a + 4, -3*a + 19 = 3*j - 5*a. Suppose -5*d = r + j - 7, -4*r + 101 = 3*d. Calculate the remainder when 107 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.523634 to one decimal place.\nAnswer: -78.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-53)\/(-4) + (-6 - -10) and -16\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(((p*(p**2\/p)\/p)\/p)\/p))\/p*p)\/p**25)**(2\/9) assuming p is positive.\nAnswer: p**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -40. Let l(a) = 10*a**2 - 15*a**2 + s*a**2. Let m(x) = -12*x**2. Determine m(l(u)).\nAnswer: -108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.8l in millilitres?\nAnswer: 451800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g**13\/g)\/g*g*g**(-3)*g*g*g**(4\/13)*g*g\/(g\/g**(7\/5)*g))**(-1\/34) assuming g is positive.\nAnswer: g**(-478\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 24 - 22 - 2.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.5 - -15. Suppose -11 - 17 = -2*w + 3*n, n = -2. Let b = w - 6. What is the nearest to 0 in b, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + (sqrt(648) - (sqrt(648) + 1*2*sqrt(648))))\/((sqrt(9) + sqrt(99)\/sqrt(176))*-6).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158 + 105.2. Let l = 53 + r. Which is greater: -0.014 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192300, -192223, -192020, -191631, -190996, -190055, -188748?\nAnswer: -187015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 189?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88614 and 11970.\nAnswer: 58928310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9251278.\nAnswer: 2, 43, 97, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -190.71 * 73.\nAnswer: -13921.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (6 - 9 - -10 - 23)) + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 3*y - 9*y = -1216. Solve 13*p = 45*p + y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-376)\/32 + (-15)\/180) + 12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/48)\/((-133)\/1748)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252600)\/3368)\/((-35)\/21).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 5, z: 1, u: 5}. What is prob of picking 1 z, 1 u, and 2 a?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxpx when four letters picked without replacement from {x: 3, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 + 0)*(3*i - 5*i + 0*i) + 4*i - 3*i + 0*i - 2*i + 5 - 5 + 0*i + 11*i - 4*i + 1)*(0 + 3 + 16)*(-3*i + 4*i + 0*i) as w + x*i**2 + g*i and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 980992616 greater than 980992615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5848.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1704 - -1704.0005678. Round m to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u + 32. Let k be r(13). Let f = -16 - k. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179 + -2145. Let x be (-2)\/8 - f\/16. Suppose x = 5*n - 130. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(729)*-1)\/(-5*(sqrt(3) - sqrt(36)\/sqrt(108))))**2.\nAnswer: 2187\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1730, -1760, -1790, -1820, -1850, -1880?\n\"Answer: -30*c - 1700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038847 divided by -21?\nAnswer: -144707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 2*k = 36. Let g(u) be the first derivative of -13*u**2\/2 - 50*u + 1. List the prime factors of g(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 152, 135, 98, 35, -60?\n\"Answer: -s**3 - 4*s**2 + 2*s + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 1125 - 1209 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b3 (base 14) in base 2?\nAnswer: -1110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5837?\nAnswer: 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - c = -0*c - 4, 14 = 3*n - 5*c. Let h be 10\/n - (-36)\/(36\/9). Put -34, 2, h in descending order.\nAnswer: h, 2, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248081 is divided by 1248?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 13, -2118, 16 in decreasing order.\nAnswer: 16, 13, -1, -11, -2118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22025600 rounded to the nearest one hundred thousand?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 54 = -74 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2664, 5326, 7988, 10650, 13312, 15974?\n\"Answer: 2662*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 i when four letters picked without replacement from diddiddid?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 502716505 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 5*x**2 + 5*x - 5. Let y be (-3 - (-1 - -2))*-1. What is the tens digit of z(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69500 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 5295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-7) - ((-288)\/56 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35250\/1750 + (-3)\/21. Solve -3*x = o*v - 16*v + 7, -13 = x + 4*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 14 = -2*z, 2*f - 5 - 15 = -4*z. Let u be 24\/(-30) - (-58)\/10. Let n = u - z. Which is the biggest value? (a) n (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6253*y + 11693*y - 21 - 5915*y)*(-3*y + 3*y - y**4).\nAnswer: 475*y**5 + 21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 1 + 9. Suppose -5*k - 3*y = -0*y + 79, -i*y = -k - 8. Let m = -13.03 + 12.83. What is the third biggest value in m, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102036 = 14*u + 102106 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g - 80*g + 59558. Calculate the remainder when g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 8) + 3 + (3 + 1 - -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -106352763 (base 8) to base 2\nAnswer: -1000110011101010111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/3 + g**3 - g\/3.\nAnswer: g*(g + 1)**2*(2*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*s*u + 37307*s - 3789500*u with respect to s.\nAnswer: 14*u + 37307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2*r**3 + 2*r**2 - 3*r**3 - r**2 as k*r + j*r**2 + h + y*r**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/72)\/((-21)\/28)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foh when three letters picked without replacement from {d: 3, s: 4, r: 1, f: 1, h: 2, o: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.42? (a) 0 (b) -0.6 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 5*o**4 + 8*o**3 - o - 6*o**3 + 3*o**4 as y*o**3 + j*o + z*o**4 + s*o**2 + u and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2285372.339 to the nearest 10000.\nAnswer: -2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000 + 111001011000110010001111?\nAnswer: 111001011000110011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -2 - (-6 - 1). Let x(m) = -m**2 + 6*m - 4. Let a be x(s). Let z = a - -25. Calculate the greatest common divisor of 147 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 11) to base 2\nAnswer: -10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f**5 + 76*f**4 - 74*f**3 - 20*f**2 = 0. What is f?\nAnswer: -5, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 274736 and 137368?\nAnswer: 274736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j + 13. Suppose 4*o = 0, 3*x + 2*x + 40 = 2*o. Let d be a(x). Let r(m) = m**3 + 3*m**2 - 3*m - 1. What is the remainder when r(d) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 781*i**3 - 504*i wrt i?\nAnswer: 4686*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10427.53 plus -8458?\nAnswer: -18885.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**4 - 471*h**3 + 3921*h**2 - 6417*h + 2970 = 0.\nAnswer: -165, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5.6. Let s be -366 - ((-5)\/5 + 6). Let d = 369 + s. Sort d, 1, g, 0.2 in descending order.\nAnswer: 1, 0.2, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3450 + -2401. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19710091 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6741?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136685 + -58998. What are the prime factors of g?\nAnswer: 77687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22296748 is divided by 2877?\nAnswer: 2875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -719 (base 10) in base 7?\nAnswer: -2045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4 - 669*f*y - 3*y + 2002 wrt f.\nAnswer: -8*f**3 - 669*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0664208 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + w - 7 - 3, 2*o - 5*w = 4. Let a be 1 - o - (1 - 2). Suppose -2*l + s + 53 = 2*l, 0 = -l + a*s + 18. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q + 10. Let k(n) = -24*n - 129. Let l(d) = -k(d) - 12*s(d). Let v(i) = i. Calculate l(v(y)).\nAnswer: 72*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62226 = -z + 5*x + 2104, 5*x = 4*z - 257230. Round z to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j = 26*j - 3641742. What is the ten thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v + 15668 = 53*v + i, v - 5206 = 3*i. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 11 + 2. Let c be (-26)\/(-65) - s\/5. Suppose q - c*q**2 - 4*q + 0*q**2 + 0*q = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 86 = -2*q - 2*q + 55, g - 5*q - 53 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-42)*(-216)\/288*(-104)\/(-1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**2*v)\/v*v**(2\/5)*(v**(2\/3))**28)**(-41\/4))**(-11\/3) assuming v is positive.\nAnswer: v**(35629\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -506562 >= -506019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lall when four letters picked without replacement from {l: 5, a: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -5. Suppose -3*g + i*g = -3. Suppose 3*d - 11 = g. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/((-3)\/(-36)) + 2. Let n = 37 - v. Suppose 5*j - n = -5*t + 8*t, 3 = 3*j + 5*t. Calculate the smallest common multiple of 27 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:02 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.257 - -0.043. What is the nearest to 1\/2 in -0.1, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 3*y - 9 + 9.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjjj when four letters picked without replacement from jqrqjtttwju.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -2\/7 (c) 0.3 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 403\/520*8 - 5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4431, 17716, 39855, 70848, 110695?\nAnswer: 159396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ac (base 13) to base 2.\nAnswer: -100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 2 - 4*j + 29*j.\nAnswer: 31*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-6)*w*w**3)\/((w*w**(5\/4)*w*w*w)\/w**(-6\/5)) assuming w is positive.\nAnswer: w**(111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -12570 to the nearest 100.\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 57. What is the third biggest value in a, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2193854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -543.4249071 + 0.4216271. Let u = -543 - h. Round u to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7918 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 - 3*c**3 + 2*c**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2897294 centuries?\nAnswer: 347.67528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 9607139 to the nearest 100000.\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83607 and 224781.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1*(g*g\/(g*(g*g**(-7\/2))\/g*g))\/g*(g\/(g*g**(1\/7)\/g))\/(g*g**(-13)) assuming g is positive.\nAnswer: g**(229\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7259 + 1913 - 4*t - t + 2*t.\nAnswer: -3*t + 9172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -605005, -605294, -605583, -605872?\n\"Answer: -289*u - 604716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0.5, -1, -5303, -2\/17, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 = -9. Suppose -12 = -l*z + 3*n, -3*z + 2*n + 11 = 2. Let o = 888.2 - 888. What is the nearest to 0.1 in 1, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/12 and -71\/22914132.\nAnswer: 22914132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, b: 2, m: 6, o: 9}. What is prob of sequence nmob?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 15) to base 14\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1620 and -53\/4698.\nAnswer: 46980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*(56032\/(-309))\/(-68)*20\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/7 + 9426*m**3 + 244890*m**2 + 1648250*m\/7 = 0. Calculate m.\nAnswer: -32965, -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -3*u + 2*o + 29, -3*o = 3*u - 21. Suppose 0*q + 6 = u*q. Find n, given that n - n + n**2 + 0*n**q = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.03166g to micrograms.\nAnswer: 46031660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-50)\/4*(-22)\/2420*-22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.63115 rounded to 0 dps?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**3 + 7*r**2 - 7*r - 16. List the prime factors of n(8).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3855 is divided by 390.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, 0, -1, 9\/566, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 24 = -2*k, -2*n + 6*n - 124 = -k. Suppose -z + n = z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 1.39 (c) 12 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**3 + 3*u**3 - 7 + 0*u + 6 - u - 4. Let r(z) = -4 + 3*z**3 - 2*z + 2*z**3 + z. Let l(d) = -5*r(d) + 4*s(d). Factor l(o).\nAnswer: -o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 13 = -w, w + 8 = 4*k + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63074*j**3*v**2 - 138999*j**3*v + 43*j**2*v**5 + j**2*v - 23*j wrt v.\nAnswer: 126148*j**3 + 860*j**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h + 1. Let u be k(-2). Suppose -m - 4 = -1, -9 = -3*g - 2*m. Suppose u + 12 = g*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/11 - 260*t**4\/11 - 3714*t**3\/11 + 139672*t**2\/11 - 640424*t\/11 - 71232 = 0. Calculate t.\nAnswer: -106, -42, -1, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 234 and 88.4.\nAnswer: 20685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-6))\/((-3)\/(-216)*-28)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1 + g**2 - 14 + 9*g - g. Suppose -5*k = j + 35, 3*j + 55 = -0*k - 5*k. Let a be q(j). Solve -5*m = -z + 11, -3*z + m = -4*z - a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.895 rounded to 2 dps?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/j)**(-12)*(j**4\/j)\/(j\/j**3*j) assuming j is positive.\nAnswer: j**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*((-105)\/(-28) + (-2)\/(-8)). Let p(m) = -j*m + 16*m - 6*m. Let c(w) = 8*w - 8*w - 2*w**2. Calculate c(p(q)).\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from rrrrrrryrrdrrrrr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -22 + 23 + -9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635 = 7*r - 2*r + 5*w, 0 = -5*w - 10. Let y = r - 125. Suppose -2*c - c = 3*u - 63, u - 4*c + 4 = 0. What is the highest common factor of u and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 91. What is the remainder when 125 is divided by p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38430848.\nAnswer: 2, 113, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d - 140. Calculate the smallest common multiple of 8\/d - 82\/(-7) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1550448 - 34397767\/22. Let r = -13084 - o. Calculate the common denominator of 31\/16 and r.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from ddddddldddldldd?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6719 or 6792?\nAnswer: 6719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 4:24 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123046872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygjqcgeqqeye. What is prob of picking 1 c and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, x: 12}. Give prob of sequence xaax.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 21*h**2. Let y(p) = -46*p. Determine y(j(c)).\nAnswer: -966*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119)*-6 - sqrt(119) - sqrt(119)) + (sqrt(119) - -1*sqrt(119))*2 + sqrt(119))\/(-1*sqrt(343) + sqrt(126)\/sqrt(2)).\nAnswer: 9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -55, -72, -91, -118, -159, -220?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**5 - h**3 - h + 1. Let s(d) = 39*d**5 + 4*d**3 + 8*d - 14. Let v(t) = 4*p(t) + s(t). Find the second derivative of v(b) wrt b.\nAnswer: 940*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2016 and 2778111?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 3*a - 1. Let g = -6 + 3. Let f be 20\/(-8)*12\/(-10). Let c(s) = 4*s - f*s + 0*s. What is g*c(k) - v(k)?\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 51, -10*x + c + 2*c - 157 = -6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.27 + -1.705. Let f = r - -0.035. What is the second biggest value in -1\/2, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245890877 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8653785 is divided by 4326885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxox when four letters picked without replacement from {t: 3, o: 3, x: 7, w: 2, q: 2}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 28 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 195, 194, 193, 192?\n\"Answer: -b + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -82\/469 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26562 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1385 + 5.539342.\nAnswer: -1379.460658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:43 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*p = -251*p + 315 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -338 (c) 20.93 (d) -1 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*m + 73*m = 2. Let k(d) = 3*d**2 - d + 3*d**m - 14*d**2 - 10*d**2. Let j(a) = 2*a**2 - 13*a - 23. Let r be j(8). Calculate k(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. Let q = -0.3 + 1.3. Let r = o - q. What is the second biggest value in -2\/7, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 103.2066 nanometers?\nAnswer: 0.0001032066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2890 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = 2*t. Let z(s) = 2*s**3 + 2*s**2 + 3*s + 4. Let d(j) = -j**3 - j**2 - j - 1. Give t*d(c) - z(c).\nAnswer: 2*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s + 53*s - 14 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*o + 26, g - 16 = -4*o - 4. Suppose 0 = a - r, 0 = g*a - r - 4*r. Let j be 13 - (a + -4 - -7). Solve 4 - j = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-15) + (-11452)\/474. Let y = c + -1\/158. Let d = y - -91\/4. What is the nearest to 0.1 in -1, -1\/3, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-340))\/((-2)\/10)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20097596 and 6?\nAnswer: 60292788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -n - 4. Let z be (n\/4)\/((-2)\/(-2)). Solve 5*y + 23 = z*f, -3*f - y - 2 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - 4\/(-30). Let o be 1*((-1)\/(-2))\/(-1). Let p = 25\/5314 + -10903\/58454. Which is the second biggest value? (a) p (b) -3 (c) o (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*y - 3649, -2*n = -5*y + 4514 + 4614. Calculate the least common multiple of y and 121.\nAnswer: 20086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u + 7*s + 15 + 49 - 1 = s, s + 14 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0229 times -24.51\nAnswer: 0.561279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16985*h**6 + 30249*h**2 wrt h?\nAnswer: -2038200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*3 - -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, c: 4, h: 2}. Give prob of picking 1 s and 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -16 - -30 - 78) + 24?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 145 = 5*p - 3*p, i = 3*p - 205. Let j = 65 - 51. What is the smallest common multiple of j and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-153)\/36*521*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 190309117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 1.9. What is the third biggest value in g, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:16 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -10*l**7\/7 - l**6\/10 - 11*l**3\/6 + 3*l**2 + 44*l + 1. What is the second derivative of g(n) wrt n?\nAnswer: -1200*n**3 - 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - 2*l. Let w be s(-4). Suppose 3*d - w = -3*d. What is the highest common divisor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26931107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -3*o**5\/20 + o**4\/2 - 2*o + 12. Let i(r) = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -1)\/((-16)\/(-624)). Let j = -140 + h. Calculate the highest common divisor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28550 is divided by 1092?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3\/(-2))\/(18\/(-432)) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 93*i. Let u(f) = f - 11286. Calculate n(u(j)).\nAnswer: 93*j - 1049598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18079060081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/(-1368))\/(12\/360)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15725 + -15725. Which is smaller: w or 1\/306?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 0*v - 9 = -15*z - v, 362*v - 1 = -13*z + 363*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 + 17 + 408009\/(-16254) and -77\/69?\nAnswer: 17802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(-2\/3)*k)\/k)*k)**(-1\/22)*(k\/k**(-1\/2))**12*(k*k**(2\/5))**44*k**(-4)\/((k\/(k*k**(-3\/2)))\/k*k*k) assuming k is positive.\nAnswer: k**(24083\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2175622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 96\/2279 - 115\/4945\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -0.10337?\nAnswer: 3.1011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1115*y + 10. What are the prime factors of c(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times -27?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5888281 divided by 5888281\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19080 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqiiqej. What is prob of picking 2 e and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, -3, 3\/7, 5\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1379719*v**4 + 6*v**3 + 19837031.\nAnswer: 5518876*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1155 - 1010. Let u be q\/(-58)*3\/45. Let k = 5.6 + -6. Put -0.04, k, u, 2\/11 in descending order.\nAnswer: 2\/11, -0.04, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 7*s**2 + 6*s + 4. Let k = 16 + -11. Suppose k*i - 3*i - 14 = 0. What is the remainder when v(i) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-86)\/(-147) - 4\/6. Let p be (2\/98)\/((-9)\/(-216)). Let z = p - v. Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 - 4*x + 4. Let z(u) = -5*u**2 - 5*u + 5. Let r(s) = 6*w(s) - 5*z(s). Calculate r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (925 - 925 + 23*u)*(-4*u**2 + u**3 + 4*u**2).\nAnswer: 23*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 4*l - 201 - 141.\nAnswer: 2*l - 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*y - 71, 2*a - 221 + 180 = -5*y. Calculate the highest common factor of 1526 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-2*x - 3*x + 4*x + (5 - 3 - 1)*(-2*x - 2*x + 2*x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t - 2. Let h(a) = 8095*a**2 + 4*a - 3358. Let c(d) = -4*f(d) + h(d). What is the first derivative of c(q) wrt q?\nAnswer: 16198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8067705 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0*h**2 - 4*h**2 + 7*h + 5*h**2 + 11. Let x(q) = -4*q**2 - 39*q + 2. Let m be x(-10). Is y(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -37*c + 68. Let m be (0\/1)\/(2 - 0). Sort 5, m, c in descending order.\nAnswer: 5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(847) - (sqrt(28)\/sqrt(4)*1 - sqrt(7)))**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-139 - -144) + (2 - 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*d + 5\/4*d**5 - 64 + 17*d**4 + 164*d**2 + 83*d**3 = 0.\nAnswer: -4, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 267, 856, 2001, 3888, 6703, 10632?\nAnswer: 15861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 176. Determine i(86).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 3. Let b = -128993 + 129121. What is the remainder when b is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 12*k**2 - 2*k + 12*k**2.\nAnswer: 19*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkakakkk. What is prob of picking 3 k?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010011100001 - 101?\nAnswer: 10000010011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1539\/(-3591))\/(6\/(-140)). What is the greatest common divisor of v and 27130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5097 - 8?\nAnswer: 5089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-5) + -1 + 14\/10. Suppose j*m + 2*s - 5 - 13 = 0, 2*s + 2 = 0. Solve v + 2*z + 9 = 0, m*z - 14 - 1 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - x + 6*x = -56, 3*x - 31 = c. Let z = -4 - c. Let n be 3 - 2\/(1 - 2). Calculate the greatest common factor of z and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a80 - 6a43a?\nAnswer: -6946a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*z**4 - 29*z + 29*z)*(14 + 21 + 38*z - 36).\nAnswer: 608*z**5 - 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*q**2 + 31*q**2 - 10*q**2 + (-3*q - q + 2*q)*(-q + q + 2*q) + 0*q**2 + q**2 + 0*q**2 + 0*q**2 + q**2 - 2*q**2 as l*q**2 + g + f*q and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6205?\nAnswer: 5, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 578*v - 8162. Give b(303).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -479.3 + 478. Which is the fourth biggest value? (a) y (b) -3 (c) -1\/3 (d) -7 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:06 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1946726 + 3?\nAnswer: 1946729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 2031*k**2 - 1850266*k.\nAnswer: k*(k - 682)*(k + 2713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/22 + (-16)\/(-88). Let x(k) = w*k**2 - 3*k**2 + 4*k**2 + 53*k**3 - 54*k**3. Determine x(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from bbdbbfmbcdsdcdd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2509056 divided by -99?\nAnswer: -25344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 33*k**4\/4 + 25*k**3\/6 - 16*k**2. Let u(b) = 99*b + 12. Let x(n) = 3*m(n) - 7*u(n). Is 27 a factor of x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from imimiiiiii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 10:38 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293787 by -403.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 1. Let l be s(-1). Suppose -36 = -7*t + l*t. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -m - 5*s, -4*m - s + 10 = 0. Suppose 6 = m*v - 6. Suppose 363 = 4*h - u - 0*u, -v = -4*u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-1) - 0 - -14. Suppose 3*j + 2*j - 15 = 0, 5*z - 16 = -2*j. Let t = w - z. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from dubuxxu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 + 42*r**4 + 588*r**3 + 2744*r**2.\nAnswer: r**2*(r + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -70, -3, -5 in ascending order.\nAnswer: -70, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziog when four letters picked without replacement from roorgikokzro.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - 3*k + 2. Let c be i(2). Let o = 598 - 610. What is the units digit of 113 + c\/o*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 30. Let o = -0.08 - 0.12. Which is the biggest value? (a) 1 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*h + 1284 = -h, 0 = -3*g + h + 767. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 47)*(0 + (-10)\/(-4)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494834992?\nAnswer: 2, 199, 155413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(20\/9)\/(q**(2\/5)*q)*(q**(1\/35))**41 assuming q is positive.\nAnswer: q**(628\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31194 and 17330?\nAnswer: 155970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) -17\/4 (c) -0.1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100110 (base 2) in base 15?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*h - 156, 0*h + 2*h - 312 = -2*s. Let x be 1*6*(-8)\/s. Let d = -5\/26 + x. Is d smaller than -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26094083 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22754 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26458937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) 0.4 (c) 29 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 965, 1017, 1113, 1253, 1437, 1665, 1937?\n\"Answer: 22*u**2 - 14*u + 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-75)\/(-6) + (-3)\/(-6). Let f = -21 + d. Let v be 22\/(-2) + (-10 - -13). Is v not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -2)\/(-3 - -2). Let i = 7 + -10. Put i, 1, d, -0.3 in decreasing order.\nAnswer: 1, d, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 + 49. Let x = -67 - v. Let d = 20.6 + -20.7. Which is the third biggest value? (a) 0.041 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -3*y**4\/2 - 5*y**3\/3 + 5*y**2\/2 + 5*y - 46. Let f(j) = -j**3 - j**2 + j + 1. Determine -5*f(g) + l(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*n*r**4 - 15*n*r**3 - 4*n*r**2 - 38*n - 173*r**5 - 5*r**2 + r + 6 wrt r?\nAnswer: -2112*n*r - 90*n - 10380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i + 5. What is the tens digit of x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2282 - -3890. List the prime factors of u.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 11, p: 3}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16910)\/2225)\/((-133)\/(-140)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 9 = k - 15*x, -k - 2*x - 6 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 2632.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + v**2 + 5*v + 23. What is d(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 3. What is the greatest common divisor of 99 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/7 + 34*g**3 + 974*g**2\/7 + 1226*g\/7 + 492\/7 = 0.\nAnswer: -2, -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(208) - ((sqrt(208) - -2*sqrt(208)) + sqrt(208))) + -4)**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*f + f. Let a(j) = -3*j + 0 - f + 4*j. What is a(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -52*r**2 + 173*r + 709. Determine f(-4).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*j - 2*t, 5*j - 27 = 4*t - 5. Let d be 3*(4\/(-6) + j). Solve -3*i = -5*b - 6*i, -d*b + 27 = -3*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*9\/(-2)*2\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 743400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -462, -175, 288, 921, 1718, 2673, 3780?\n\"Answer: -v**3 + 94*v**2 + 12*v - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -24\/41?\nAnswer: -24\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 759490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 13\/12, -0.659?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = -2*s - 4*j, -j - 4*j - 121 = s. Is -132 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7327, 14658, 21989, 29320?\n\"Answer: 7331*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*s + 13 = 6*s + 5*d, -9*d = -27 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12414 - -37916. Calculate the greatest common factor of x and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -437871.52?\nAnswer: -21893.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 9. Let h be d(11). Which is the closest to h? (a) -4 (b) -5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 + 347 = -24*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**4 + p**3 + p**2 - 3. Let t(l) = -19*l**4 + 5*l**3 + 7*l**2 - 17. Let u(s) = -34*m(s) + 6*t(s). Factor u(j).\nAnswer: -4*j**2*(j + 1)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 18*g**2 - 4*g. Let b be w(12). Let c = 68331\/16 - b. What is the common denominator of (-1 + 4)*5\/14 and c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 less than or equal to 69514\/1665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**4 + 3*t**4 - t + 2*t**3 - 3*t**4 to the form h*t**3 + j*t + m*t**4 + l + v*t**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 18080?\nAnswer: -18077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 47*n - 304. Calculate the least common multiple of 53 and r(39).\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147\/(-105) + (-78)\/15 + 14\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*f = -79*f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-6)*(-7)\/210*((-42)\/(-4))\/(-7)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05996952? (a) -1 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-3) - (-2)\/(-3). Let q(t) = t**2 + 32*t + 36. Let a = 459 + -490. Let z be q(a). Solve -c = h - z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 27*o - 35. Let t be k(-16). Let s = t + -137. Which is the second biggest value? (a) -0.2 (b) s (c) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147974070 greater than -147974068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 344904*c**2*h**2 + 764*c*h**2 - 2*h**2 - 9 wrt c?\nAnswer: 689808*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 24*q - 2810824 = -4*j, 3*j - 2108070 = 5*q. Round j to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**38*m*m)**(-1\/3)*(m*m*m**(-4\/33)*m*m)**(2\/3) assuming m is positive.\nAnswer: m**(-1097\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*a - 40, 3 = 3*b + 23*a - 26*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -43, -7, 65, 185, 365?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d + 26. Give w(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/(534\/(-89)*(-1)\/(-10)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-15))\/((-6)\/20). Suppose 3*r + 5*b - 251400010 = 6*r, j*b - 8 = 0. Round r to the nearest one million.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7421 - 3710 + 4*k - 12*k**2 - 3*k - 3719.\nAnswer: -12*k**2 + k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830609007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 3*w**2 - 14*w - 9*w + 5*w**2 + 21*w in the form d*w**2 + b + l*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 3*f**7\/56 - f**6\/4 + 9*f**5\/20 - 3*f**4\/8 + f**3\/8 + f. Factor n(s).\nAnswer: 3*s*(s - 1)**3*(3*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**3 + 0*i**2 + 1\/2*i**4 + 5 - i. Give m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 18 = -4*u, 5*u = 3*o + 886 - 907. Solve 4*p + 28 = -o*t, -4*t + 6*t = -8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3402) + sqrt(3402) + sqrt(3402)*-1*-3)\/(-6*2*sqrt(600)).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s + 10501 - 10869 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - -153001?\nAnswer: 153044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-549)\/183*(-20)\/(-36)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1265*k - 1369 + 2180 = 8401 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q - 214 - 17*q + 163 as g*q + o and give o.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1347122155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 4. Let d be f(10). Let c be (-128)\/6*(-3)\/2. What are the prime factors of 2\/d + c\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(-16)\/((-448)\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 16. Suppose -5*l = -l - g. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-5)*(-89 + 99). Sort -1, -4, -5, r in ascending order.\nAnswer: r, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 638?\nAnswer: -634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2640\/(-80) - (0 + -26).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9680987 is divided by 291.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10076 = 3*f, -5*f = -2*f + d - 10052. Suppose -2*w - 3*b + f = 3*w, 5*b = -w + 666. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 q when four letters picked without replacement from {q: 5, c: 7}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20613 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 4*x + 20. Give z(-11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 15*u + 9. Let f be p(-1). What is the tens digit of -3 - (f + 2) - (-318)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p**2 + 4*p**2 - 4*p**2.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + (-184)\/56. Let o be ((-14)\/4)\/(i\/10470). Let w = 2215 - o. Round w to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 9*m - 9. Let p(f) = -3*f**3 - 14*f + 14. Give -8*b(a) - 5*p(a).\nAnswer: -a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1375*m + 5*m**2 + 23*m**2 + 1375*m + 30*m**2.\nAnswer: 58*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 17*z = -106*z - 244996. Round z to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869 + 737 - 36631*d - 1606.\nAnswer: -36631*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32176 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -3, -5, 4, 248, -59?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccbcbcgccbcmcbfcc. Give prob of sequence gbfm.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47811 is divided by 1397.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**8\/20160 + 3*t**5\/20 + 2*t**2. Let x(s) be the third derivative of y(s). Let f(i) = -3 + 3 - 4*i**2. Calculate f(x(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2922*z**2 - 22*z + 81. What are the prime factors of b(3)?\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 3*x**2 + 5*x + 6. Let c(z) = 2*z + 6. Let f be c(-5). Let d be q(f). Let k = 33 + -30. Solve k*j = 2*g + 16, 5*g + 16 - d = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - t + 4)*(2 + 8 - 4)*(-3 - 4 + 5)*(2 - 3 + 0).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -3597506.5118227.\nAnswer: -3597506.5118227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**4\/12 + m**3\/3 + 2*m. List the prime factors of r(5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570 + 79 = -108*c + 49*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 1:02 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, -2\/7, 4, -3, -2731?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d - 1. Let f(h) = h + 3. Let m be f(-2). Let z be c(m). Let y = 0 + 0. Solve y = p + z - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -304 and -338551408229.\nAnswer: -338551408533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, s: 2, u: 1, b: 1, d: 1}. What is prob of picking 1 v and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3 - -5.35. Round o to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 - c + c - c**2 + 0 + 0 + (c - 1 + 1)*(3 + 2*c - 3) + (3*c - 5*c + 0*c)*(-1 + 1 + 2*c) + 2 + c**2 + c**2 + 5*c**2.\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.02. Let y be 9 + ((-12)\/(-1))\/(-4). Let p be (-15)\/10*(-2)\/y. Is f smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 6 - 1 - 3*p + 1. What is v(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x**2 + 6. Let b(j) = 9*j**2 - 7. Let l be (-1 - -9) + -1 - 1. Calculate l*b(k) + 7*m(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 + 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-1955)\/(-68))\/23*24\/(-25))\/((-3)\/(-30))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, 3, -12 in increasing order.\nAnswer: -145, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15568 = -34*f + 291274. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2064)\/1290)\/(1\/5). Put 4, d, 1, 3 in ascending order.\nAnswer: d, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 75*i**3 - 2*i + 55*i**3 - 131*i**3 - i**2 in the form d*i**3 + g + q*i + t*i**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 10\/14) + 11650\/(-350). Let z = 221 + -226. Which is the third smallest value? (a) z (b) 4 (c) l (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 1 - 1)*(2*n - 2*n**2 - 2*n)*(-2 + 2 + n + (-2*n - 1 + 1)*(0 + 1 + 2)).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 34 = -4*f + 2*f, 5*f - 28 = 2*c. Let g = c + 19. Solve 3*i = -6 - g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 401485*m**3 - 895453*m**2 wrt m?\nAnswer: 2408910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amavzmzp. What is prob of picking 2 z and 1 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)\/t)\/t*(t**7*t)\/t)**(15\/4) assuming t is positive.\nAnswer: t**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938059127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-10) + -3 + 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3))**(1\/39)\/((c\/((c\/((c*c\/c**(2\/7))\/c*c)*c)\/c))\/c*c**4))\/(c**(-6\/7)*c\/(c*c**(-6))*(c*c*c\/(c*c\/c**(2\/3)*c))\/c**(2\/11)) assuming c is positive.\nAnswer: c**(-93017\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1222, 1481, 1740, 1999, 2258?\nAnswer: 2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (116 - 123) + 1 + 973327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + sqrt(64)*-2*6)\/sqrt(4))\/(sqrt(968) - ((5*sqrt(968)*-2 - sqrt(968)) + sqrt(968) + sqrt(968) - sqrt(968))).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-45)\/27)\/(2\/(-6)). Suppose -3*p - p = -v*c + 22, 0 = 3*c - p - 9. Let w(u) = u**2 - 2*u + 3. Let z be w(c). Solve -3*a + z = 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5 + 68668*u**4 - 549178*u**3 - 1304368*u**2 - 686520*u = 0.\nAnswer: -1, 0, 10, 34326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 1675.3.\nAnswer: 1679.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 11861 - 23758 + 11899 - 22242*s in the form f + c*s and give c.\nAnswer: -22242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286996 + 287236 = 16*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**7\/840 + i**6\/120 + i**5\/60 + 2*i**2. Find a, given that k(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 2*z**3 + 5*z + 43*z + 5*z**3.\nAnswer: -z**3 + 48*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 2. Let y(j) = 6*j + 11. Let v(z) = -11*f(z) - 2*y(z). Let r(l) be the second derivative of 0*l**2 - 1\/6*l**3 - 2*l + 0. Determine v(r(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 205*n - 209*n - 12 = 0, -3*j + 4*n = -14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**6\/720 + r**5\/15 + 5*r**4\/6 + r**3\/2 + 142*r. Let c(y) be the third derivative of f(y). Determine c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*u + 68*u + 94*u.\nAnswer: -95*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/4 - 65*j**4\/4 + 1075*j**3\/4 - 1835*j**2\/4 - 269*j + 475 = 0.\nAnswer: -1, 1, 2, 25, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*23.4.\nAnswer: 7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - -4030?\nAnswer: 4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1979964 to the nearest integer?\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3324*f**3 + 5*f**2 + 5*f - 5. Let p(a) = -4419258*a**3 - 6648*a**2 - 6648*a + 6648. What is 5*p(k) + 6648*s(k)?\nAnswer: 1662*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 54. Suppose 10*v - 212 - f = 0. Is (-1 + 8)*(v + 255) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26\/7 of a week?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgjjcghggjgjglgjhgc. What is prob of sequence llc?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from pgpggpxgdppggppupgg?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 0 - 8\/27*s**3 + 0*s**2 - 1\/135*s**6 - s - 1\/15*s**5 - 2\/9*s**4. Factor g(a).\nAnswer: -2*a*(a + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(76)*4 - (sqrt(76) + sqrt(76)*-4*-6))\/(((4*sqrt(40))\/sqrt(10) - sqrt(4)) + sqrt(28)\/sqrt(567)))**2.\nAnswer: 38475\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -406 + 5?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2 = -2*x. Calculate the remainder when 10 is divided by 5*x + -6 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 71*n + 1449. Let l be i(-20). Sort 4, l, 5, 0 in descending order.\nAnswer: l, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1880*b + 1873*b = -21. Solve 4*a - c + b = 0, -4*a - c + 3 = -0*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 83*n = -77*n + 52 - 947, -2*z - 63 - 117 = -2*n for z.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 612 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by -2\nAnswer: -133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19734 is divided by 117.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 5*y = -8, -24816*w + 24815*w + 3*y = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0329170779 to six decimal places.\nAnswer: -0.032917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (9 - 1) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016943682387 rounded to 7 decimal places?\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2914 - 14619\/5. Is -10 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 10. Let r(l) = 261*l - 67. Determine -6*m(t) + r(t).\nAnswer: 267*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2300 or 2299?\nAnswer: 2299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 2*g**3 + 0*g**3)*(-4 - 1 + 3) + 3*g**2 - 56689 + 28398 + 5*g**3 + 28345.\nAnswer: 9*g**3 + 3*g**2 + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/25447290 and -61\/7842.\nAnswer: 25447290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 2\/3*r**3 - 3*r + 0*r**2 + 0 + 1\/3*r**4. What is the second derivative of s(i) wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 5*r - 2. Let w be x(-4). Suppose -2*c + 48 = -6*c. Let q be (-238)\/(-3) - 0 - 8\/c. Calculate the highest common divisor of q and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 32*j - 696. What is the hundreds digit of w(69)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 23653?\nAnswer: -2365b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3)*(-9)\/4. Let i = 7 + -4. Suppose -5*a - 11 = 14, -3*k + i*a = -21. Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62104 divided by 4436?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 71?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:56 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**5 - 18*t**4 + 3*t**3 + 114*t**2 - 96 = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3425*u = -3772*u + 38170 for u.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 j when three letters picked without replacement from {w: 9, s: 1, n: 3, j: 6}.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.588 + -30.588. Let x = -2717\/18 + 151. Which is the biggest value? (a) z (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-33)*(7\/42)\/((-1)\/(-27)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 6.77962 and -1.7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 57189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(4 + 4*y - 4)*(-4 + y + 4).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -32*s - 390 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10668 and 11886?\nAnswer: 3019044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67834.99999942029 - 67835. What is t rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**7\/840 - q**6\/360 - q**5\/120 + q**3\/3 + q. Let c(p) be the second derivative of k(p). What is c(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 1004600*c + 11051205.\nAnswer: -5*(c - 200931)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*s - 66*s = 0. Which is the biggest value? (a) 1 (b) -0.2 (c) s (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from imhhuic?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2840*n + 1399*n + 1409*n.\nAnswer: -32*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 11*r**7\/840 + r**4\/8 + r**3 + 3*r. Let b(g) be the second derivative of m(g). What is the derivative of b(z) wrt z?\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(136)*1)\/(3*sqrt(800) - sqrt(800)).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*i**2 - 68*i**2 + 55*i**2 in the form h*i**2 + v*i + l and give h.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57\/296 - -16\/37. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*d**2 + 166*d**2 + 41*d**2 + 48*d**2 + 49*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678, -1352, -1988, -2568, -3074, -3488, -3792?\nAnswer: -3968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f - 6. Let p be w(-2). Let b = 58 - p. What is the remainder when 218 is divided by b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 4539*g - 44582460.\nAnswer: 3*(g - 3172)*(g + 4685)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k + 11 = 12*k - 3*p, 0 = -4*p - 20. Solve -s = k*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23583873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**(-1\/6)*c**(-8)*c**(1\/4)\/c)**(2\/7) assuming c is positive.\nAnswer: c**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 582094?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 66 = -3*r. Suppose -20 = 5*m, -2*n + 14 = -4*m + m. Let i = n - -3. What is the remainder when r is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from zpwkzzwzh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18139 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:47 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 45*o**2 - 64*o + 3. Let j be d(-21). Solve 2*p - j = -20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 4824*m + 9664.\nAnswer: -4*(m - 2)*(m + 1208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-12)\/(-9))\/((-8)\/(-2904)*22).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3215 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711747223 by 1.\nAnswer: -711747223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 50*d**3\/11 - 206*d**2\/11 + 174*d\/11 - 18\/11 = 0.\nAnswer: 3\/25, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-144)*-20*((-12)\/18*12)\/2?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by ((-1)\/(-2 + 3))\/(14\/(-406))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:05 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from kjcjvqbqkqk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 2. Let a(j) = 16*j + 9 - 4 - 13*j. Let x(z) = 3*a(z) - 7*c(z). Determine x(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*y - 0*d + 3*d, -9 = 3*y + d. What are the prime factors of y\/9*(-8 + -214)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 9ebd2?\nAnswer: 9ebd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88020, -176041, -264076, -352131, -440212, -528325, -616476, -704671?\n\"Answer: -t**3 - t**2 - 88011*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239057966 + 4.51.\nAnswer: 239057970.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3628\/237 - -2\/79. Sort -1\/2, u, -1.\nAnswer: -1, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33686023 times -2?\nAnswer: 67372046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*w = 73*w + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nggggngngggpgn. What is prob of sequence pg?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65421753487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300, 1051, 1802, 2553?\nAnswer: 3304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - b**2 - 3 - b - 3*b as k*b + s + j*b**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.24505166 - -3.5550512. Let r = -0.69 - p. What is r rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o + 372 = a, 0 = 5*a - 4*o - 1923. List the prime factors of a.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.3 + -0.7. Let k = o + 7. Which is the nearest to k? (a) -0.1 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + 21\/2. Suppose 3*d = -5*i + 72, -5*i + 50 = 2*d - 18. Let p = i - s. Solve 0*w = -p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -15*n**2 - 8241*n - 3294 = 0.\nAnswer: -549, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4462*-15.79\nAnswer: -7.045498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -97 + 5*o - 57 - 95 + 253. Let v(p) = -14*p - 11. Give -17*n(q) - 6*v(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 282066?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -2968, -2 in descending order.\nAnswer: 107, -2, -2968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6 and 81\/5180.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68740261 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 = 2. Suppose -15 = w - 4*w. Let f = w - u. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/7 - 8454094*o**3\/7 + 1701706867920*o**2 - 799242933597671808*o - 799244635305747456 = 0. What is o?\nAnswer: -1, 1409016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*p + 19, 3*t - 13*p = -17*p + 47. Let q(z) = 11*z**3 + 5*z - 4. Let y(v) = 5*v**3 + 2*v - 2. Calculate t*y(n) - 6*q(n).\nAnswer: -n**3 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86401*u**6 + 474*u**2 - 32*u - 2 wrt u.\nAnswer: -10368120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 35302?\nAnswer: -35255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 106 = -10. Let o = -14 - 22. Let c = o - d. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3628527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000011111110101 (base 2) in base 7?\nAnswer: -1260415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*s - 12, -77*s = -3*r - 72*s - 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3951*g. Let r(a) = -7724*a**2. Determine r(l(i)).\nAnswer: -120574737324*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4 + 2916*o**3 - 1059962*o**2 - 2128680*o - 1065800 = 0.\nAnswer: -1, 730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 2 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 211102200010211 (base 3) to base 15\nAnswer: 10a742a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 - 11\/(66\/510). Let d = m - -322. Is 79 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:16 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5*x + 60102*b**4*x - 237*b**2*x - b**2 - 41*b wrt b.\nAnswer: 120*b**2*x + 1442448*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = p - 45. What is the remainder when p is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 23979*q**2 + 57677985*q - 36755010225.\nAnswer: 3*(q - 3495)**2*(q - 1003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 434 - 173. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 36 = -p. Suppose -p = -3*z - 31. Suppose z*o + 24 = 8*o. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/27 or 0.045?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.88 + 2.92. Let x = 0.34 - j. Let k = -2.9 - -3. Which is the nearest to 0? (a) 0 (b) x (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*g + 1483 = 1289. Determine n, given that -36\/5 + 0*n + 4\/5*n**g = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 5*n - 3. Let q be b(-6). Suppose -a - q*z + 0 + 20 = 0, 5*z = -a + 20. Solve 0 = 4*m + m - a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4)*-2)\/((-26)\/312)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 3*p**2 - 2*p + 4. Let j be r(3). Let y = 4 + j. Find the third derivative of -3*v**4 + 2*v**y + v**4 - 3*v**2 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/252*(-59)\/((-4956)\/576)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/8 + 1)*-4. Suppose -13 = -v*q + r, r + 2*r - 21 = -q. Let y(g) = -g + 7. Calculate the lowest common multiple of 7 and y(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312821?\nAnswer: 31, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 81*c**2 + 815*c + 451. Give q(-90).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m - 12. Suppose -3*u + m*u - 2*k = 7, -1 = u + 2*k. Suppose 0 + 0*y**2 + 1\/5*y**u - 1\/5*y = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-30) - 24\/(-10). Suppose -d + 2 + b = 0. Solve -3*t - d*g + 12 = 0, 2*t - 5 = 2*g + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -174, 4, -171?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) 4 (b) -3 (c) 16\/7 (d) 0.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 100000211222022?\nAnswer: -100000211222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1807263 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 853, 1708, 2563?\nAnswer: 3418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -96683083 times -0.4?\nAnswer: 38673233.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (484\/(-77))\/((540\/10)\/756)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/3)*p*p**(-7\/4) assuming p is positive.\nAnswer: p**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 6:59 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c**3 - 39*c**2 - 30*c - 6. Let h(u) = 3*u**3 - 12*u**2 - 10*u - 2. Calculate 4*b(z) - 13*h(z).\nAnswer: z**3 + 10*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*q**3*r - 63*a**3*q*r + a**3*r - 3*a**3 + 11050*a**2*q**3*r + 3*a*q**2 + 9*q**3*r + 104*q*r + 2*r wrt q.\nAnswer: 6*a**3*r + 66300*a**2*r + 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/72 and (158\/(-56))\/((-30)\/21).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0 + l**3 + 5 + 8*l + 6*l**2 + 6*l**3. Let r(v) = -13*v**3 - 11*v**2 - 15*v - 9. Determine -11*d(o) - 6*r(o).\nAnswer: o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -643 (c) -3\/5 (d) -16 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*m**2 + 4*m**2 - 2*m + 3*m + (-1 - 2 + 2)*(4 - 2*m**2 - 4) + (2 - 3 + 0)*(-4*m**2 + 8 - 8) to q*m**2 + c + z*m and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218963 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*a - 43*a**2 - 6*a - 6*a - a + 4*a as x + d*a**2 + v*a and give d.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0719028 rounded to 4 dps?\nAnswer: 0.0719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 531*z - 4. Suppose -27*l + 6 = -25*l. Is c(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325524 rounded to the nearest 1000?\nAnswer: -326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1273*x - 2299.\nAnswer: -1273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, h: 3, r: 4}. Give prob of sequence rr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*b**4 - 273*b?\nAnswer: 2004*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (203\/6902)\/((-3)\/18).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in 0.1, 21, -267?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 + 9 = 0. Let r be 2*52\/(-40) - w. Let q = -8 - -5. Which is the nearest to r? (a) 1 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 273, -5\/8, 13.1?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 + -170. Let w = -0.03 - 2.97. What is the second smallest value in u, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 22*j**3 + 2*j**2 - 3*j - 23. Let h(z) = 110*z**3 + 9*z**2 - 14*z - 109. Give -14*c(n) + 3*h(n).\nAnswer: 22*n**3 - n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 9) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, 4, 12\/7, -0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/13 + 566*c\/13 + 564\/13 = 0.\nAnswer: -282, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc4 (base 14) to base 6.\nAnswer: 14440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/12*4)\/(4\/(-14)). Calculate the greatest common divisor of 56 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 491 - 524. Calculate the least common multiple of (-880)\/s*9\/5 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.5 + 30. Let z = k + -22. Let p = -1.4 - z. Which is the second biggest value? (a) p (b) 7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 1. Suppose 0 = -k + 2*k + 5. Let p(a) = 2*a**3 + 11*a**2 - 4*a + 13. Let h be p(-6). Let r be h\/((-11)\/k - 2). Calculate b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4\/5*m**3 - 8\/5*m**2 + 4\/5 - 2\/5*m**5 + 4\/5*m**4 - 2\/5*m = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 - 223 - 219 + 668 - 7*s**3 - 226.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t + t - t)*(0 + 0 + t) - 2*t**2 - 4 + 4)*(1794*t + 1429*t - 2507 - 23052*t + 2507).\nAnswer: 19829*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 19*a - 52. Calculate the smallest common multiple of s(23) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1090 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.024 (b) -0.3 (c) -9 (d) -1.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 21953*k**2 - 4173*k**2 - 4977*k**2 + 12297*k**2 in the form f*k**2 + l*k + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -372 + 373. Let y be (-81)\/(-18)*f\/(-12). Which is the biggest value? (a) -3 (b) -5\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1078*t + 1879 - 385 + 2507 + 103*t wrt t?\nAnswer: 1181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 69, 106, 145, 186, 229?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 10:49 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3228228?\nAnswer: 2, 3, 71, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1215718 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2843.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 6174.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12017, -48136, -108453, -193064, -302065, -435552?\n\"Answer: -16*q**3 - 12003*q**2 + 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8872*m*v**3 - 1331*m*v + 2*v**3 + v**2 - v + 276471 with respect to m.\nAnswer: -8872*v**3 - 1331*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((1*sqrt(64))\/sqrt(8)) - ((sqrt(8) + 1)**2 + sqrt(2)*-2*-1).\nAnswer: -9 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2885, -5769, -8653, -11537?\n\"Answer: -2884*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*g**2 - 42 - 384*g + 771*g - 377*g + 42.\nAnswer: 368*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4 + 117852*a**3 + 353520*a**2 - 16*a - 471360 = 0. Calculate a.\nAnswer: -29460, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 97 = 3*k - 2*k + 122, 2*v - 131 = 5*k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1, 230, -2 in decreasing order.\nAnswer: 230, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3.8. What is the nearest to 0 in f, -3\/2, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -21. What is the second biggest value in i, 2, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128086060 and 280?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -54*v**4 - 46*v**2 + 4*v. Let n(r) = -106*r**4 - 93*r**2 + 9*r. Let g(m) = -9*f(m) + 4*n(m). Find the third derivative of g(u) wrt u.\nAnswer: 1488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-332)\/24 + 2 - -3 and 38\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3416432 tonnes in grams?\nAnswer: 341643.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -109056, -436226, -981512, -1744914, -2726432, -3926066, -5343816?\n\"Answer: -109058*f**2 + 4*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182290034?\nAnswer: 2, 263, 346559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -122920.4 * 0.03.\nAnswer: -3687.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1254.\nAnswer: -5\/1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165747020?\nAnswer: 2, 5, 8287351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-20)*20\/105.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {w: 5, r: 2, m: 9, l: 2, e: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**0)\/q)\/q)**(-50)*(q**(1\/6)\/q)\/(q*q\/q**(1\/3)*q) assuming q is positive.\nAnswer: q**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9 + 1148*c**2 - 325*c**2 - 1281*c - 9 wrt c.\nAnswer: 1646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0*11126.686\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5669?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -40. Suppose -c - 4*c + w = 0. What is the greatest common factor of 55 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 - 2*a**2 - 5*a**2)*(-5*a + a + 3*a)*(-2*a**2 + 4*a**2 + a**2).\nAnswer: 36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*k - 13 = 0, -4*j + 6*j - 42 = -4*k. Suppose j = 2*p + 1. Calculate the greatest common factor of 2 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.99957 - 27. Let u = 0 - m. What is u rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7750506 + -1195320.7.\nAnswer: -8945826.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588580 by -117716.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 9:46 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3858661 to the power of 1\/2, to the nearest integer?\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(0 + 6\/(-8)). Suppose 0*n + 3*n = 4*o + y, 4 = o + n. What are the prime factors of 14 + o + -1 + -1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 54706*d**2 + 1422357*d + 33. Give x(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/42 and (-9)\/(-180) + 2\/(-15).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2. Let q be (5\/(-7 - 8))\/(-10). Let a(r) be the third derivative of 0 + 0*r + q*r**5 - 5*r**2 + 0*r**3 + 0*r**4. What is a(j(y))?\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2)*2 + -3.\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 130\/3. Let f = 3.9 - -0.1. Let i = f + -4.1. Which is the closest to i? (a) 0 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1679 divide 375005996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3029*t + 63373 + 93820 = 3694 - 980 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -243\/2*b**4 - 12*b**5 + 0 + 0*b - 27\/2*b**2 - 123*b**3 = 0.\nAnswer: -9, -1, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppgpppspsgeeggllsg. Give prob of sequence eg.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*x**6 + 156*x**6 + 7*x**4 + 211*x**6 + 11 - 8*x**4 + 51*x**2 wrt x.\nAnswer: 56880*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzztzzzzz.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**3 + 41*f**2 - 13*f + 20. Let v(s) = -5*s**3 - 21*s**2 + 7*s - 10. Let m(j) = -11*v(j) - 6*x(j). Is 5 a factor of m(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6702866.\nAnswer: 2, 947, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -22 + t + 3*t + 46. Let f(z) = 1. Let m(x) = 5. Let j(b) = 6*f(b) - m(b). Let s(a) = 24*j(a) - l(a). Let g(o) = 3*o**2. Determine g(s(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2. Let b(r) = -r**2 - r + 1. Determine -2*b(n) - 5*p(n).\nAnswer: -3*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9493*a**2 + 13 - 5030*a**4 - 13 - 13982*a**2 wrt a?\nAnswer: -120720*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 7*c + 1224. Let h = c + 140. Solve h = 4*f - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*g + 131, g + 2246*c = 2250*c + 1. Let p be 0\/(2\/2)*1. Suppose 7*n - 3*n - 24 = p. What is the remainder when g is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318127490?\nAnswer: 2, 5, 7, 19, 61, 28573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28305*q**3 + 15488*q**2 - 7752*q**2 - 7736*q**2)*(q + 2 - 3*q - 2*q) to the form s*q**4 + w*q**3 + f + j*q + z*q**2 and give w.\nAnswer: -56610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 371789454 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 52 = -4*l, -2*l + 5*u - 2 = -3*l. Suppose 6 = l*b - 9*b. Suppose 3*v = b*v + 9. What is the least common multiple of 5 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 t when four letters picked without replacement from {p: 2, o: 1, t: 3, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 5*m**2 + 4*m - 6. Let w be -2*9\/(3 - 0). Is k(w) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -17, 16, 73, 160, 283, 448?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + -0.2. Let v = 0.01 + 0.09. Which is the nearest to v? (a) -5 (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*n**3*r - 2*n**3 + 4268*n**2*u + 789*r*u wrt r.\nAnswer: -6*n**3 + 789*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4419 and 3\/6874?\nAnswer: 61866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295411 is divided by 396.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from jhhdpddhphdjjdndj?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 15 = -2*v. Let k = v + -3. Suppose 5*t = -6*h + k*h + 280025, 69985 = h - 3*t. Round h to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-98)*-14 - 3\/2. Which is the fifth smallest value? (a) 43\/5 (b) -0.4 (c) -2\/13 (d) -5 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.941 - -0.059. Let p = 32 - a. Which is smaller: p or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2018026*t**2*y**3 - 21*t + 5032231*y**3 - 2*y**2 wrt t.\nAnswer: 4036052*t*y**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 12:30 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) - 136\/12. Let z = m - -35. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62579000 rounded to the nearest one hundred thousand?\nAnswer: -62600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340181 is divided by 653.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419313139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1567181538 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140 + 921. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*d - w, 9 = d + w + 14. Suppose -5*v = 6*o - o - 1720, d = o - 2*v - 356. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t + 19*t - 32*t)*(4*t + 4*t - 13*t).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595725.\nAnswer: 3, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 - 1*(-4)\/(-2)*1. Suppose 0 = -6*n + n - 4*i + 4, 0 = -n + 2*i + 12. Suppose 4*v = 3*l + 8, z*l - 2*l = n*v - 16. Is v at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 381, 554, 729?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0939684573+1772\nAnswer: 1772.0939684573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18869756, 18869757, 18869758, 18869759, 18869760, 18869761?\nAnswer: 18869762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 6, 0 = 2*l - w + 4*w + 44. Calculate the common denominator of l and -58\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145892175329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + w**2 + 4 - 2)*(10*w - 77 + 77) + (w**2 - 3*w**2 + w**2)*(4 - 4 + 2*w) in the form p*w**3 + h*w**2 + j + n*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3*j**2*k + 2684*f**3*k - 7*f*j*k + 33*j**2*k wrt j.\nAnswer: 2*f**3*j*k - 7*f*k + 66*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*u + 32, -423*u - a - 17 = -427*u. Let v = -2\/145 + 316\/1885. What is the nearest to 0.1 in 1\/3, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2299) - (sqrt(1216) + sqrt(1216) + 0)) + 4.\nAnswer: -5*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8143398467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 5, f: 3, q: 3, n: 1}. What is prob of picking 2 f, 1 n, and 1 m?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15588 and 0.08?\nAnswer: 15588.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24383 or -121917\/5?\nAnswer: -121917\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -27. Let k be (-9 - -4)*s\/(-15). Factor 4*p - k*p**3 + 5*p**3 + 11*p + 9 + 7*p**2.\nAnswer: (p + 1)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 16 - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 15, -7, 1 in decreasing order.\nAnswer: 15, 4, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 64*v - 4795. Suppose 0 = -9*t + 4*t + 25. Suppose -t*r + r + 56 = 0. Calculate the remainder when r is divided by i(75).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2255.\nAnswer: -1\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5420.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 44\/5 of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 877619896 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25448 + 126572\/5. Let f = 134 + w. What is the nearest to f in 2, -5, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*w + 81320 + 33088, -4*w + 114384 = 5*l. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000097922 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 16. Let h be 1*(2 + o + 2). Suppose -3*y - 2*y + 240 = h. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29112739 is divided by 583.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llcccllcclclccccpl. Give prob of picking 4 l.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24)*1)\/((-13)\/130)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6408666 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t = 20*t + 1319 + 2014 - 201 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4514105435 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17713, 70842, 159387, 283348, 442725, 637518?\nAnswer: 867727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:48 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1291 + 1301. Suppose 0 = -25*x + 30*x + 5. What is the nearest to 1\/3 in s, 11, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - (-3 - 7\/4). Suppose 67 = 3*i - 182. Suppose -3*m + 55 = -z*g, -3*m = -0*m + 2*g - i. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s - 186 = 0. Suppose 4*y = 5*w + 84, 4*w + 14 = y - 18. Calculate the remainder when s is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 271 = 120. Is -17 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/81 and 47\/99.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996312897.\nAnswer: 1996312897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 760 + -92. Let w = 87083\/4 - 21108. Let s = w - y. Does 1 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.96 times 1556117\nAnswer: 3049989.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, o: 3, b: 2}. Give prob of picking 1 z and 1 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**3 + 2*j**2 - 6*j - 1. Let s(p) = -14*p**3 - 6*p**2 + 17*p + 4. Give -6*s(v) - 17*y(v).\nAnswer: -v**3 + 2*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 3*l, 0 = -4*b + 47*l - 43*l + 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -28169a1 (base 11) to base 2\nAnswer: -10010100001011000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -5, 0.3, 0, 6, 8, 84\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 606485192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {k: 1, u: 2, z: 1, o: 3, x: 1, q: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402424 + -3?\nAnswer: -402432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -10121202222?\nAnswer: 10121210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 107, 2, 0 in ascending order.\nAnswer: -53, 0, 2, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:03 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -770538.283 to the nearest 100.\nAnswer: -770500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6 + 448\/76 - (-220)\/(-76)*-37 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = 3*v, -5*h + 0*h = -2*v + 10. Suppose 3*r - 103 = 212. Let s be (-1)\/v + r\/25. Solve -s*a + 8 = -2*y, -3*y = y + 3*a + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25973790 by -6.\nAnswer: 4328965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/4 + 5*c**3\/3 - 5*c**2\/2 + 4*c + 3. Let i be k(3). Suppose 0 = -2*m + i*m - 75. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 0 - (4 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7624 (base 16) to base 8.\nAnswer: -73044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693854 is divided by 53369?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-24) + (-886185)\/11844 + (-6)\/63?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*v + 9226 + 2167 = 2976 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 1, m: 2, g: 1, k: 1, o: 2}. What is prob of picking 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 16*f - 13 = 42*f - 25*f, 2*r + 11 = -3*f for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54574 (base 10) in base 4?\nAnswer: -31110232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -75. Factor -1\/2*b**v + 0 + 0*b**2 + 0*b + 1\/2*b**3 + 0*b**4.\nAnswer: -b**3*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 + 498 + -143 - 121?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5 + 15. Suppose -k*g = 12 + 18. Is g less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - 22. Suppose -x + y + 37 = 0. What are the prime factors of x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnnfnnfpnnnn. What is prob of sequence fp?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:45 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, -649, 0.2, -0.3, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(0 + 1\/29). Let p = -17 - y. Let j = -31 - -43. Calculate the greatest common factor of p and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-4) - 996\/(-24).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*j**2 + 33 wrt j.\nAnswer: -162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7926 + -314.5226. What is j rounded to the nearest integer?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (6 - ((-2 - 11) + 12)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 18*f - 81. What are the prime factors of t(29)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**2 - 6*a - 5. Let g(f) = -10*f + 0*f**2 + 7*f - 2 + 4*f**2 + 0. Let m be -3 + 0 + 13 + -17. What is m*g(x) + 3*c(x)?\nAnswer: -x**2 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, 0.03, 8, -3\/2 in decreasing order.\nAnswer: 8, 4, 0.03, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2380 (base 12) in base 8?\nAnswer: -7620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*k - 591*k + 17*p + 549 = 0, k + 128 = -4*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, 0.2, -70?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*w**4 - 2346*w**3 + 2351*w**3 - 1 + 25*w**2 - 22*w**2 + 2 to the form k*w**4 + a*w + x + h*w**3 + n*w**2 and give k.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 18*j - 40. Let l be u(11). Suppose 2*d + l = 0, -4*b + 146 = 9*d - 4*d. Is b greater than 79\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, j: 8}. Give prob of sequence jzjj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 1 + 5. Suppose -s + v = 2*i, 2*i + 8 = 2*s + 3*s. Suppose 2 = 2*a - s. Which is smaller: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - 1 - (10 + -7 + (-7 - 0) + 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81876 is divided by 10919?\nAnswer: 5443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t + 9208 = 195*t + 1422 - 2482 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28873072 <= 28873072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -112202220220 (base 3) to base 15\nAnswer: -5b279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380, -753, -1128, -1511, -1908, -2325, -2768, -3243?\nAnswer: -3756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**14*d)*d*d\/(d\/d**(-2\/51)))**(-8))**(-10\/3) assuming d is positive.\nAnswer: d**(-61360\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 3 (c) -43 (d) 3\/98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 17*u**2 + 56*u + 14. Suppose 408*p - 406*p + 2*v + 30 = 0, -33 = 2*p + 3*v. Determine f(p).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*t + 148 = -29*t. Solve -2*p = w + 2, 3*p - w = -t*w - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13277, -26524, -39771?\n\"Answer: -13247*q - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let w(t) = 6*t**2 + 5*t + 2*t**f + 2 - t**3 + 1. Calculate w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*z = 0, 10 = -2*g + 4*z + 46. Factor -24*v**3 - 8*v - 16*v**2 + 24*v**3 - g*v**3 - 2*v**4.\nAnswer: -2*v*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -36303 * 10\nAnswer: -363030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.5, 0, -2504.7, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1176098, 1176093, 1176088, 1176083, 1176078?\nAnswer: 1176073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - s + 17, -345*s = -2*g - 343*s - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -658696 by -1.\nAnswer: 658696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6627?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31372749677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*l**2 - 37*l + 37*l + (3 - 3 + 2*l)*(3*l + 2*l - 3*l) + 3*l**2 + 4*l**2 - 5*l**2 - 1491*l - 6*l**2 + 750*l + 779*l.\nAnswer: 14*l**2 + 38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 398520 and 533?\nAnswer: 5180760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Suppose -25 = -4*v + 5*s, -8 = l*v + s - 3. Let n(h) = -h**2 + 7. Give n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 1452366 in descending order.\nAnswer: 1452366, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2053, 4016, 5979, 7942, 9905, 11868?\n\"Answer: 1963*x + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116821 + -116725.418. Let u = 97.2 - t. What is u rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 194.95 at least -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 104353?\nAnswer: 104353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-288)\/2889)\/(-8)*(-504)\/112).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:33 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -197921 (base 10) to base 11\nAnswer: -125779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34001, -67992, -101983?\nAnswer: -135974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2578)\/(-3) + (-76)\/(-6) + -13 is divided by 142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/(-36))\/(21\/882)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 6*g + g - 2*g - 4*g + 5*g + 0*g + g + g + (2 - 1 - 3)*(-g - 2*g + g))*(5*g + 0*g + 4*g) to z*g + o*g**2 + r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5\/g*g*g)\/((g**(-7)\/g)\/g))\/(g\/((g**0*g*g*g)\/g))**(-23)*((g\/(g**(1\/3)*g)*g)**(-7))**(-4\/31) assuming g is positive.\nAnswer: g**(-688\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1890 + 2170?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -82\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85133758 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4392 and 8?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31210 - -31291.844. What is d rounded to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9) + 31\/(-3). Let c = t - -12. Suppose -c*w - 2*n = n - 50, 0 = -5*w - 2*n + 147. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 1.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42272 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 + -470\/9. Let s(h) = -7*h + 69. Let x be s(10). What is the nearest to x in t, -2\/15, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215*n**3*v - 2*n**2*v**2 + 17*n**2*v + n**2 + 97*n*v**2 - 13*n*v - 13*v**2 wrt n?\nAnswer: -1290*n*v - 4*v**2 + 34*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-70)\/(-84))\/(2\/12). Let v(f) = -4*f**2 - 9*f. Let u(j) = -5*j**2 - 10*j - 1. Let r(q) = n*u(q) - 6*v(q). What is r(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - y - 2 + 23, 3*y - 15 = 0. Let h be -2*1\/(-4)*0. Let l be (a\/(-5) - h)\/2. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - s. Let k be m(0). Suppose -217 - 99 = -139*a - 38. Solve -13*f - a*f + 0*f = k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*c + 42, -3*c + 72 = 4*i + 16. Suppose 20*k = i*k + 18. Solve 5*a = j + k*j + 19, j + 16 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(3*r + 2*r - 3*r + (4*r - 5*r + 0*r)*(76 - 45 + 2) - 3*r + 0*r + 2*r + (1 - 2 + 0)*(4*r - 2*r - 3*r)).\nAnswer: -62*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*q - 57*q**2 - 324*q + 208*q as k*q + n*q**2 + o and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-40)\/10*1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 417*k**3*s**3 - 2*k**3*s - 78*k**3 - 5059*k**2*s**2 - 4*k**2 + 3*s**3 wrt k.\nAnswer: 2502*s**3 - 12*s - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 55 = 0. Suppose 2*a - 428 = -2*a. Let b = a - m. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-17 - -4)\/(-416))\/(-2))\/(1\/(-4))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 28*a + 130. Determine m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-760)\/(-800)*-5)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -329? (a) -13 (b) -3 (c) -6 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**8\/56 - u**4\/3 - 4*u - 2. Let m(b) be the first derivative of y(b). What is the third derivative of m(r) wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l - 3*u = 32*l + 15, -5*l = 4*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2. Suppose 3*k = 5*r - 10, 0 = 4*r - r - 4*k - 6. Let o(d) be the first derivative of 0 - 1 - 12*d**r + 2 + 11. Calculate l(o(u)).\nAnswer: 1152*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14328385*t**2 + 23944296*t wrt t.\nAnswer: -28656770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2) - 5\/2)*-1. Let q(y) = -2 - 3*y**3 - 2*y**h + 10*y**3. Let f(p) = -6*p**3 + 3. What is -3*f(j) - 4*q(j)?\nAnswer: -2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178*v**5 + 71851*v**4*z - 31*v**2*z - 196753*v**2 wrt v.\nAnswer: -10680*v**2 + 1724424*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*(v*v**(1\/3)*v*v)\/v))**(18\/11)\/(v**(-3\/4)\/v**(4\/9)) assuming v is positive.\nAnswer: v**(-391\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h + 468000. Let y = 8 + -11. Let a be -3 - h\/3 - y. What is a rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4735\/4 in -0.2, -3, 1\/8, -86, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21020840 and 475.\nAnswer: 105104200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 86. Give k(-5).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*v + 40*v - 69*v as u*v + i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 23, 12, -5?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 243 - 103. Suppose -20 - h = -4*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8679, 8677, 8673, 8667, 8659, 8649, 8637?\nAnswer: 8623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*r - r = 31, 12 = 3*r. Suppose -j = d*j - 28. Suppose 3*s + 11 = -7*v + 3*v, -s = -2*v + j. Solve 6 - v = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-21) + 40\/7 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -577*h + 795. Does 24 divide y(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxxghxxgxxkxgxgkx. Give prob of sequence xhkg.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*2\/(-21))\/(15\/(-21)*246\/3936).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {c: 4, s: 2, v: 3, z: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 + 34*a**2 + 10109*a + 193. Calculate m(64).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 0.08 (c) 47 (d) 0.2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 149*g**3*l - 5841130*g**3 - 121*g**2*l + 2*g*l wrt l.\nAnswer: 149*g**3 - 121*g**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-8)*(-2205)\/(-1715).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8251 is divided by 8243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-6))\/(((-1748)\/(-171))\/(-23)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 704039.2 and 22273.\nAnswer: 726312.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3582 - 2287 = 718*x + 3465 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1532*f**2 - 8192*f**2 - 14565*f**2 - 771*f**2 - 4069*f**2 as a*f**2 + o + s*f and give a.\nAnswer: -29129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -553 - -143654?\nAnswer: 143101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2164 - 2176 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 13 = 2*m, -92*m + 8 = -90*m. Let d(s) = 6*s**2 - 5*s - 1. Let n(k) = k. Calculate t*d(p) + 5*n(p).\nAnswer: 6*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/(-6800) - 13\/(-130)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g + 2*g - 3*m - 4, -3*g + 1 = -m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 18*w + 45. Let j(c) = 2*c**2 - 16*c - 46. Let p(x) = 6*i(x) + 5*j(x). Factor p(u).\nAnswer: 4*(u + 2)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6427)\/2*2\/4. Let c = -1630 - l. What is the common denominator of c and 1270\/308 + 4\/14?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 u when four letters picked without replacement from dzuiuuuz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346739?\nAnswer: 346739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -666*h - 1. Let o(x) = -255*x. Determine t(o(d)).\nAnswer: 169830*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74483708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-56)\/588*21\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 92.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249467289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 172065 to the nearest 1000.\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 15\/2*h + 3\/2*h**3 + 4*h**2 = 0. What is h?\nAnswer: -4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 11*v**6\/60 - 13*v**3\/3 + 7*v**2. Differentiate i(y) wrt y.\nAnswer: 66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + (2*sqrt(96))\/sqrt(8)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.7, 0.17 in ascending order.\nAnswer: -3, 0.17, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.77118 + -5.76. Round f to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from tvtttmttvtvtttmtt.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 15*r + 18. What is u(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(78) - (sqrt(78) - 2*(2*sqrt(78) + sqrt(78))))\/(2*1*sqrt(486) - (sqrt(486) - (sqrt(486) - (-4*(sqrt(486) - 1*sqrt(486)) + sqrt(486))))).\nAnswer: 7*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.028.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p - 4679. Let o(k) = k - 6. Determine -i(u) + 5*o(u).\nAnswer: -u + 4649","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -4 - 0 - -3. Find the common denominator of i + 1 - (-205)\/(-20) and -20\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 9. Let g be h(0). Suppose -6*l + 60 = -g*l. Is (33\/(-2))\/(35\/l - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 18*s - 15 = -15*s, -2*i - 5*s = 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 31905 to the nearest 100.\nAnswer: 31900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 553 + -4?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3782 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v - 2 + 3 + 3. Let x(k) = -k**3 - 34*k**2 - 31*k + 63. Let q be x(-33). Determine l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2407866*j**2*o**3 + 18*j**2*o**2 + 211519755*o**3 wrt j.\nAnswer: -4815732*j*o**3 + 36*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + 245\/(-6). Let d = 25301 - 25341. Is m greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 140 + 288 = 5*d + 144, -5*o - d - 8 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -414.5 and -2?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039297663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 248a + 2771?\nAnswer: 5150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/9))\/(m\/(m*m\/m**(-7)))*(m**(-2))**(-12\/11))**(18\/7) assuming m is positive.\nAnswer: m**(310\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/(-11) + 6\/(-33). Let a = 259 - -52. Let y = a + -314. Put y, 0.5, v in descending order.\nAnswer: v, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9734180063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2311, -4629, -6951, -9277, -11607, -13941?\nAnswer: -16279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(10\/18 + 16\/(-48)). Suppose -16*b + a = -15*b + i, i = 4*b - 26. Solve -14*p + b*p - 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-1 + (-28)\/(-4). Let m(v) = 3*v - 2. What are the prime factors of m(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1177725 and 3140600.\nAnswer: 9421800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 7 = -3*v - 29, -4771*z = 4*v - 4789*z + 498 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 - 9*n + 2. Let k be o(3). Suppose 4 = 5*l - k. Solve 2*y - l = 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 - 256*i**2 + 4752*i + 400. What is q(-101)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -1, 3, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3)**(-19\/5) assuming k is positive.\nAnswer: k**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -20*d + 100. Let f be m(-25). Calculate the highest common divisor of f and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(40\/15)*(-111)\/9. Suppose 3*o = 2*n - p + 7, 0 = 3*o - 12. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.654 and 55610229.\nAnswer: 55610230.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 33\/5*n**3 + 3\/5*n**4 - 96\/5*n + 0 + 12*n**2 = 0. Calculate n.\nAnswer: -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/(-6))\/(1430\/858).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 11) to base 10\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179785861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15738946 and 45126.\nAnswer: 141650514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.15846?\nAnswer: 0.31692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 + 10*r + 5. Let p be n(-7). Let f = 32 - p. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 - 3*n + 2. Let y be g(-3). Let v(o) = -o**2 - 8*o - 5. Let m be v(y). Factor -i**4 + 0*i**4 - 2 + 3*i**3 - 9*i**2 + m*i**3 + 7*i.\nAnswer: -(i - 2)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 19*x - 28. Let s(l) = -2*l + 42. Let u(g) = g - 28. Let d(z) = 5*s(z) + 7*u(z). What is the remainder when d(-11) is divided by c(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*g + g = -11, -5*a = -3*g - 17. Suppose n + 4*d = a, -5*n + 2*n + 3*d + 12 = 0. Factor -2*k**n + 4*k**4 + 2*k**3 - 4*k**3.\nAnswer: 2*k**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7202205 and 79224255?\nAnswer: 79224255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) 359 (c) -2 (d) 18 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -5, 1, 5, 1431, -8 in decreasing order.\nAnswer: 1431, 5, 3, 1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/260 - (-50)\/13. Suppose -2366 = -3*t + 5*c, -c - x*c = -2*t + 1579. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -3*w + 3*c, -3*w = -c + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/7 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-9)*((-2)\/6 - 20\/(-84))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) -4 (c) 0.3 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -47746\/4761?\nAnswer: -47746\/4761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1)*-6 + -5.\nAnswer: -6*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 26. Let r(h) = 1644*h - 77. Calculate 3*l(d) + r(d).\nAnswer: 1638*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 2}. What is prob of sequence ror?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056358338 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) - 33888\/(-60). Which is the second biggest value? (a) t (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x + 15. Let d be p(10). Calculate the highest common factor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**8)\/(s**6*s))\/(s**(6\/11)*s**(1\/7)) assuming s is positive.\nAnswer: s**(101\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + f**3 - f**3 + (1 - 18 - 5)*(-2*f**4 + 5*f**4 - 5*f**4).\nAnswer: 46*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/((-1296)\/90))\/((-20)\/152)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-9) + (-2)\/(-9). Let w = 2 - k. Let i(m) = -4*m**2 - 6*m + 4 + 4*m**w + m**2. What is i(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*y = -40*y + 461 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heeoyovyey. Give prob of sequence ooh.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27203?\nAnswer: 11, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + 1)*-4 - (-1 + sqrt(108) + 2))*2 + -6*(-5*(sqrt(108) + sqrt(108) + sqrt(108) + 0) - sqrt(108) - (-5 + 1 + sqrt(108))) + 3)**2.\nAnswer: -34224*sqrt(3) + 915073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 times -0.5?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2137, 0.26, 566 in decreasing order.\nAnswer: 2137, 566, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1329*v + 21311. What is k(16)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 463.8868ng in kilograms?\nAnswer: 0.0000000004638868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64.9? (a) -2\/5 (b) 3.7 (c) -4 (d) 47 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3957 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 366552768\/23 or 15937077?\nAnswer: 366552768\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/((-45)\/(-25)) - (2 + -4). Let p(f) = -2*f**2 - 4*f + 3. Calculate p(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - (-3 - (-11 - -5)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10*(2\/35)\/(115\/4025) + -53\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13800 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/44*4\/6.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01287 and 0.1.\nAnswer: 0.08713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.7 - -48. Let r = 3 + -5. Which is the third smallest value? (a) k (b) r (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (580*c - 290*c - 256*c)*(2 - 3 + 2) + 1 - 1 + 2*c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6272)\/(-686))\/(8\/(-42))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 15 - 19. Does 2 divide 0\/(l + 6) - -9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 28591*c + 57419. Determine u(-2).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2369\/28 + 594\/7. Let y(g) = g + 11. Let s be y(-10). Which is the closest to -1? (a) j (b) s (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 32?\nAnswer: -33\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 7.53.\nAnswer: 45.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-15))\/(3\/5). Let w = -9054 + 9052. What is the second biggest value in w, 2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2384 = -20*p + 15*p, h = p - 792. Let b = h + 797. Solve -8 = -c - b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 7862452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 22 = 2*p, 4*t = 2*p - 5 + 41 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 33. Let t(x) = 16. Calculate 7*t(w) - 3*z(w).\nAnswer: 3*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 16. Let p be g(10). Calculate the common denominator of (p\/(-126))\/((-6)\/46) and (-28)\/9 - 7\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4 - 323*g**3 - 13*g - 17.\nAnswer: -12*g**2 - 1938*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -38*c + 4. Let d(y) = 64*y - 3. Let f(q) = 3*d(q) + 5*t(q). What is f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 2161.803295.\nAnswer: 2162.203295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g. Let i(b) = -4*b**2 - 7. Let q = 12 - 9. Let n(j) = -q*j**2 - 4 + 5 - 6. Let f(t) = 5*i(t) - 7*n(t). Calculate f(k(o)).\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = h - 12*c + 10*c + c, 4*h - 2*c - 62 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**5\/20 - b**4\/3 - b**3\/3 + 5*b**2 + 30*b. Is 15 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + n = -19, -698 = 5*n - 703 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*k + 2, 0 = -2*s - k + 5*k - 4. Let n(h) = h**3 + h**2 - h. Let g(o) = -48*o**3 - 44*o**2 + 44*o. What is s*g(t) - 88*n(t)?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5\/3 + 28*l**4 + 1049*l**3\/3 + 322*l**2 = 0.\nAnswer: -69, -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-7)*(f\/((f\/(f*f**(-2\/25)\/f))\/f))\/f*(f\/f**(2\/5))**36 assuming f is positive.\nAnswer: f**(738\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115072427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -10. Is 1774*(b + (-35)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -240*j + 960. Let s be w(4). Put s, -3, -2\/23, -1\/6, -5 in increasing order.\nAnswer: -5, -3, -1\/6, -2\/23, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x**2 + 3*x**2)*(-180*x**2 + 38*x**2 + 314*x**2).\nAnswer: 344*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 2, n: 4, c: 1}. What is prob of sequence mn?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, e: 2, x: 4}. What is prob of picking 1 x and 2 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*v + 3355 - 3223 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 843441761 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(1*(15 + -16)). Let c(q) = q**3 - 10*q**2 + 11*q - 10. Calculate c(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -11. Let g = 11 + l. Suppose -g*u + 8*u - 70 = 0. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514373 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/284413308 and -69\/20609660.\nAnswer: 1422066540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 494, 635, 848, 1169, 1634, 2279, 3140, 4253?\n\"Answer: 6*w**3 + 99*w + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 5. Let p = -2 + 3. Suppose -c = -3 + p. Let o(y) = 4*y - c*y + 3*y + 11. What is 9*a(b) + 4*o(b)?\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*n + 5*m + 5, 5*n + 5 = 4*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75 + 71229?\nAnswer: 71304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012747 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6.54 (b) 105 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.236766 + 0.2.\nAnswer: -0.036766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 36 = -4*f, -r + 12 = -4*f + 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 10. Suppose -2*v + q + t = -13, -4*v - q + 60 = 0. Round v to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520166495.\nAnswer: 3, 5, 101344433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/8, 2\/199 in decreasing order.\nAnswer: 1\/8, 2\/199, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*h - 4. Let w(p) = -p**2 - 5*p + 6. Let v be w(-5). Let i = v - -1. What is the smallest common multiple of h and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 4. Find y such that -3*y + 9*y + 4 - 9*y**2 + 14*y**3 - w*y**2 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r. Let d(o) be the first derivative of o**4\/12 + 3*o**2\/2 + 3. Let s(m) be the second derivative of d(m). Give g(s(p)).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 16. Let d(j) = j - 8. Suppose -8 = k - 5*k. Let p(s) = k*r(s) + 5*d(s). Does 2 divide p(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/9)\/(-4))\/(3\/(-108)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x - 2*x + 4554 = 0. Calculate the highest common factor of x and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*5\/20 + (-7)\/(-4). Let p(u) = 59*u + u**2 - 18*u + j - 29*u + 12. Let c(o) = -12*o**2 + 1. Let n be c(1). Calculate p(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2947 divided by -7\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8469.1 and -332060012.\nAnswer: -332051542.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 77465 = 11*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/12 - 83*a\/6 + 490 = 0?\nAnswer: -196, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 235074623 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45507 = -36*d + 69*d. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n + 9. Let g(x) = -689 + 3*x + 2*x + 672 + 4*x. Let s be g(n). Calculate the highest common factor of s and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1004.43?\nAnswer: -1003.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -12 - (-3 + (-36 - (-10 + 10))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -259107.6 rounded to the nearest 1000?\nAnswer: -259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + (-4)\/(-8). Let g be -1*1*1 + 12\/15. Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36952011 to two dps.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 11*u**2 + 3*u - 118. Calculate k(-13).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 73308886 divided by 37006\nAnswer: 1981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 13 = -0*u - 3*y, -y = u + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4261 + -4055. Calculate the remainder when c is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 11412860*l - 32563343344900.\nAnswer: -(l - 5706430)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.57 + -0.37. Which is the second smallest value? (a) 43 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**4 - 4236*v**3 + 2124*v**3 + 2121*v**3 - 5*v**2 in the form i*v**3 + h*v + l + r*v**2 + s*v**4 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 5. Let p be z(0). Let b(f) = -f**3 - 5*f**2 - 3*f + 6. Calculate the remainder when b(p) is divided by 7 - (0 - -1)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85966 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + b**2 + 4*b + (3*b - b + 0*b)*(b - 3*b + 0*b))*(-2*b + 24 - 26 + 3*b).\nAnswer: -3*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpha when four letters picked without replacement from {p: 1, h: 4, a: 3, q: 6, d: 2}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.57 and -1916476?\nAnswer: 1092391.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -41. Let d = r - 23. Factor 1\/3*i**d - 1\/3 - 1\/3*i**3 + 1\/3*i.\nAnswer: -(i - 1)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8821857 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 10 = 24*r + 5*r + 291, 4*r = 3*b - 48 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5039197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1391824 and 115\/199864.\nAnswer: 115521392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z - 3*k = 299, 4*k = 2*z - 598. Suppose -3*o + z = -4*f, 2*o - 5*f = o + 118. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 4*a + 2*a)*(-4*a + 4*a - a) - 13*a**2 - 142*a**2 - 3*a**2 - 4*a**2 + 8*a**2 - 19*a**2 in the form x + r*a + j*a**2 and give j.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let y = v + 3. Which is the third biggest value? (a) 4 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 + -14 + (2 - 0). Suppose -3*t = y*m - 4321, -5*t - m = 644 - 7840. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219404 - 121404. Round b to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 2)*(7*a + 5*a - 3*a) as v + q*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5128 is divided by 1709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3079000908 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1670 + -184a?\nAnswer: -340a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)\/j**(-3))\/((((j*j*j\/((j\/(j\/(j**6*j*j)))\/j)*j)\/j*j)\/j)\/(j\/j**0))*(j\/((j\/j**0)\/j)*j**(1\/4))**(-20) assuming j is positive.\nAnswer: j**(-223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82317238*c + 1296 = -82317265*c for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 (base 12) in base 15?\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let d = 166 - 162. Suppose 0 = 2*s + d*i - 36, -i + 0*i - 12 = -s. Solve -4*n - s = c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676853 to the power of 1\/2, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.878 * -3.\nAnswer: -50.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -578*u**4 - 271800522*u**3 + 239824506*u**2 + 31036106*u + 940488 = 0. What is u?\nAnswer: -470244, -1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -1341444?\nAnswer: -1342001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*m + 5*j, 14*m - 17*m = 4*j + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.49, -1.4, 0 in descending order.\nAnswer: 0.49, 0, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7773 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 + 7. Let p(s) = -4*s**2 + 4. Give 7*p(z) - 4*v(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 1*(-3)\/12 + 13\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - ((-12)\/(-2))\/(-3). Let w = 11 - l. Let b = 415 + -409. Solve 2 = w*h + 3*i + b, -3*h - 2*i = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 445347*c + 5344596.\nAnswer: -3*(c - 148461)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -476343 (base 8) in base 15?\nAnswer: -33498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 19 = 208. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1790 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n + 3. Let g be w(-3). Let d = 19 - 10. Calculate the greatest common factor of g and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0.1, -3\/7, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6327 is divided by 235.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v - 49*v - 497 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 516, -7, -2, 7, 0 in decreasing order.\nAnswer: 516, 7, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011101101011101011 + -1010100?\nAnswer: -10110011101101100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1623585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n**2 + 2 - 9 - 33*n - 2 - 9 = 0. What is n?\nAnswer: -1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 9 - 6 + 55 + (-2*s**2 + 2*s**2 - s**3)*(0*s + s - 2*s).\nAnswer: -s**4 + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 69 = -2*j - 24*h, -5*h + 10 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 * 0.3\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.384 + -0.984. Which is the third smallest value? (a) 1\/10 (b) -3.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -1. Let l(c) be the first derivative of -2*c**4 + 7*c**3\/3 - 5*c - 11. Let d(m) = -17*m**3 + 15*m**2 - 11. Determine x*d(j) - 13*l(j).\nAnswer: 2*j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13 - -283.\nAnswer: 282.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14.761 (b) 8 (c) 3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1012\/(-207))\/(-44))\/(4*(-16)\/(-6))?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -214 - -533. Suppose 0*h = h - k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15534 by -4.\nAnswer: 7767\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -139, -306, -539, -838, -1203?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -5, -33 in decreasing order.\nAnswer: 5, 4, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12114242659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 622.\nAnswer: -5\/622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q)*(7*q + 393*q + 195*q).\nAnswer: 1190*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, o: 2}. What is prob of picking 1 d and 1 o?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 7*g**2 - 7*g - 3. Let t be c(-6). What is the first derivative of t - 12 + n + 0*n wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:26 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 47 - 24)*(-5 - 3*m**3 + 5).\nAnswer: -84*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 27. Suppose n = -q - 4*k - 11, 1 = q - k - 3. Let a(l) = -11*l**2 - 9*l. Let j(c) = -3*c**2 - 2*c. Let g(d) = -2*a(d) + 9*j(d). What is g(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57230, -114234, -171096, -227810, -284370?\n\"Answer: f**3 + 65*f**2 - 57206*f - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -662498571 from 39.\nAnswer: 662498610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 204, -5, 5, -11 in descending order.\nAnswer: 204, 8, 5, 2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21993 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 11*o**2 - 6*o**2.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000218079 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 0*i**4 + 2*i**4 + (1 + i - 1)*(27*i**3 - 4*i**3 - 3*i**3) - 5*i**4 + 0*i**4 + 4*i**4.\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5102*u**2 + 2. Let k = 20 + -13. Let d be z(k). What is d rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 + 262*m - 143. Let d be a(-67). Round d to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 + 3. Let b be w(5). Solve 5*i + 3*k + 19 = 0, k = b*i - 4*k + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 27614 = -10490. Suppose -6*w + 2*w = -16. Suppose -8037 = -w*n + g. Round n to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 317844 = 59*t. List the prime factors of t.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1.5. Let c = -9 + 4. Let g = 79 + -75. Put c, v, g in decreasing order.\nAnswer: g, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -5\/3, 1\/6, -14.\nAnswer: -14, -8, -5, -5\/3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4595 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53735 + -21733. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90116.98 litres to millilitres.\nAnswer: 90116980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnndsnndsdssnnndd. Give prob of picking 2 n and 1 s.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -14*g**4\/15 - 278*g**3\/15 + 578*g**2\/5 - 1642*g\/15 + 40\/3 = 0.\nAnswer: -25, 1\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than -199864748971?\nAnswer: -199864748984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (sqrt(200) + sqrt(200) + -1 + sqrt(200))*-4)**2.\nAnswer: -1040*sqrt(2) + 33816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n + 6*n - 9*n)*(1 - 3*n - 1) + (3*n - n + n)*(-2*n + 3*n + n) + 2*n + n**2 - 2*n.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 - 929*v**3 + 16*v**2 - 23*v?\nAnswer: 60*v**2 - 5574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -18. Suppose -14670 = p - 2*d, -4*p + r*d + 0*d = 58680. Let m = 8370 + p. What is m rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 4. Let q(z) = z**3 - 4*z**2 + z - 12. Let t be q(4). Let y(g) = 9*g + 11. Calculate t*u(m) - 3*y(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 6*s + 3. Let w be l(6). Solve 5*x + i + 6 - 1 = 0, w*x = 3*i + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxqx. What is prob of sequence qxq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*d - 229*d = -40776. Suppose 991 = 3*o - d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 + 1 = 0. Sort r, -3, 0 in increasing order.\nAnswer: r, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {i: 2, d: 1, o: 2, f: 2, t: 7, v: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 43*j + 1909. Calculate w(-29).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 98*w + 139. Is c(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.22 - 29. Let t = b + 0.08. What is the third smallest value in -4, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 6*j**2 + 44*j + 55. Let t be o(-14). What is the highest common factor of t and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/28)\/(33\/44))\/(6*7\/(-2499))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Suppose 0 = -4*a + d*h, -2*h + 4 = a - 7*h. What is the units digit of (13 - a) + (-2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 8*g + 5. Let u be (7\/3)\/((-10)\/(-30)). Calculate y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.237 to one dp.\nAnswer: 39.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 3. Let z(i) be the third derivative of -11*i**4\/24 - i**3 + 36*i**2. Let r = 26 + -13. Calculate r*x(m) + 6*z(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/20 + 5*d**4\/2 - 25*d**3\/6 - 56*d**2 - 44*d. Let j be l(29). Solve -5*b - 24 = -2*a, -16 = -a + j*b + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 15.44\nAnswer: 4.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/31)*m**(2\/5))\/(m**8*m*m**(2\/3)) assuming m is positive.\nAnswer: m**(-4279\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/6 (b) -1.6 (c) 0.8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206 + -176. Let t(f) = f**2 + 7*f - 5. Let r be t(-7). Let d be (-360)\/(-44) - (i\/(-33))\/r. Calculate the greatest common factor of 128 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + (12 - 0 - 4). Let j = -1\/14 - 9\/70. What is the second smallest value in j, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 16, p: 4}. What is prob of picking 2 p?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 296*c + 593. Let y be g(-2). Is -1\/146 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30808, -30816, -30838, -30880, -30948?\n\"Answer: -w**3 - w**2 + 2*w - 30808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 less than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6156946739 to the nearest integer?\nAnswer: 78466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.073, 2\/5, 4, -0.02?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 163 * 0.06\nAnswer: 9.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -741 + 1053. Suppose v = -2*s + 6*s. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 + -1001101101?\nAnswer: -1010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 352\/5277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - (2 + 2) - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -132, -152, -188, -246?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 161, 346, 557, 758, 913, 986?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 8*a + 2. Suppose -4*r = -j + 2 + 3, 3*j = -2*r + 15. Suppose r = -5*q - 9 - 21. What are the prime factors of x(q)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78961 * 190\nAnswer: 15002590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*n + 65*n + 71*n + 67*n + 64*n + 72*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142\/89 - -17\/178. Sort 0.4, 1, -3\/7, -2\/5, q in increasing order.\nAnswer: q, -3\/7, -2\/5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:07 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 590 + -588. Solve -8 = -z*l + 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 4*k**2 - k**2 + (3*k - 3*k - 2*k)*(k + 1 - 1) + 0*k**2 + k**2 - 3*k**2 + 6*k**2 + 2*k**2 - 3*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 + -5) - (-5 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v**2 - v**2 - 4*v**2 + (-2*v - 3*v + 3*v)*((2*v + 1 - 1)*(-19 + 10 + 28) + 0*v - 3*v + 4*v).\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, e: 1, n: 3, i: 1, q: 2, j: 5}. What is prob of sequence eqqr?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:47 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409 = 28*r + 318 - 189 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 464*j**3 - 463*j**3 - 3*j**2 + 95*j + 21*j**2 + 126.\nAnswer: (j + 2)*(j + 7)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*n - 65 = 0, 3*n - 7*n = 5*a + 331. Let z = 69 + a. Solve -5*f = -3*h + h - 10, f - 2*h - z = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 8, w: 1, g: 2, i: 6}. What is prob of picking 1 e and 1 i?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 12:02 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3594*v**3 + 4987*v**3 - 1391*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(171) + 1*sqrt(171)*2)\/((sqrt(252)\/sqrt(7))\/sqrt(4)*-6)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**2)**(-42)\/(w\/(w*w*w*w**(-8))*w\/(w*w\/w**4))*(w**9*w*w**5*w)\/((w*(w\/(((w*w*w*w\/w**7*w*w)\/w)\/w))\/w)\/w**1) assuming w is positive.\nAnswer: w**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(149017\/(-7038) + (-14)\/(-119)) + 1\/(-6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7680 and 5376?\nAnswer: 53760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1, -16, -37, -1331 in ascending order.\nAnswer: -1331, -37, -16, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -5. What is the highest common divisor of b and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(140) - sqrt(140))\/sqrt(5).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 2*h - 21. Let v(t) = t. Let q(f) = -j(f) - 6*v(f). Let m be q(-10). Which is the nearest to m? (a) -0.5 (b) 0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + 4 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7899 - -7962.49. Round v to 0 dps.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 - 4*x**3\/3 + 5*x**2 - 3*x. What is the smallest common multiple of 7 and z(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = 0, 3*w = -2*a + w - 2. Suppose 0*f = -2*f. Sort -1, f, a in increasing order.\nAnswer: a, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkdeddkkeededk. Give prob of picking 1 d and 1 k.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4310, 4312, 4314?\n\"Answer: 2*z + 4308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*n + 96 - 15 = 0, -305 = -5*b - 5*n. Calculate the remainder when 259 is divided by b.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 113100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 - 0.3. Let f = n + -6. Which is the smallest value? (a) f (b) 0.1 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2106, -1883, -1660, -1437, -1214, -991?\n\"Answer: 223*o - 2329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(156) - (sqrt(156) - 3*sqrt(156))) - sqrt(156))\/(sqrt(24)\/sqrt(2)*4).\nAnswer: 11*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 33 + 3 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6052070\/9 or -672453?\nAnswer: -6052070\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5.57 (b) -5 (c) -0.07292\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29233 and 519777?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*s + 3. Let h = s - 2. Are h and -2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 3*g - 2\/15*g**3 + 1\/30*g**4 + 1\/5*g**2 + 0. Factor b(n).\nAnswer: 2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214161076.\nAnswer: 2, 53540269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-54)*-3 + 65\/(-315). What is the closest to 2\/17 in i, 2, -0.11, -5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + 4. Suppose 5*p = -85 - l. Let h be 4\/p + (-409200012)\/(-66). What is h rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -16*h**2 - 36*h - 230. Let k(g) = 9*g**2 + 18*g + 116. Let z(o) = -7*k(o) - 4*n(o). Is 7 a factor of z(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770652899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258.9225m to centimeters.\nAnswer: 25892.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.2. Let p = j + -0.3. Let u = 40 - 39.5. What is the closest to -1 in 2, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -280 - -303.9. Let k = q + -24. Which is the biggest value? (a) k (b) -3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(1\/3)\/l)*l*l**(3\/10)\/l*l**(-2\/21)*l**2 assuming l is positive.\nAnswer: l**(271\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -299, -482, -673, -866?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -3\/4999, -0.5, -5, -0.3, 0.3?\nAnswer: -3\/4999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 403*n + 418*n + 3 + 26 - 778*n + 31 in the form i*n + v and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h - 10. Let c(p) = p**3 + 6*p**2 + 6*p + 6. Let r be c(-4). Let j be s(r). Let t = -20 - j. What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -229137 in decreasing order.\nAnswer: -4, -5, -229137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -325*z**5 + 2*z**3 + 132*z - 2. Let p(o) = 650*o**5 - 5*o**3 - 264*o + 5. Let x(w) = 2*p(w) + 5*q(w). Find the second derivative of x(j) wrt j.\nAnswer: -6500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -718119, -1436264, -2154395, -2872506, -3590591, -4308644?\n\"Answer: m**3 + m**2 - 718155*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:16 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 25, 5*d = -3*o - 0*o + 15. Let v be 8271\/15 - 6\/(-10). What is the remainder when ((-2)\/(-4))\/(12\/v) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/17)*j*j*j\/j**0)**(-22)\/(((j*j\/(j\/j**2*j))\/j**1)\/(j**(-2\/5)\/(j\/(j**(1\/4)\/j)))) assuming j is positive.\nAnswer: j**(-22631\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + 820*c + c**3 - 820*c + 13 in the form x*c + z*c**3 + b + o*c**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -2*o, -3*o - 2*y = -1 - 10. Let z(t) be the third derivative of t**4\/12 + t**3 + 2*t**2. Does 3 divide z(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/((-1)\/(-2)). Let u = 3.1 + -2.5. What is the third biggest value in 3, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/12698327 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 33. Let a(o) = -o - 2*o + 3*o - t*o. Let z(u) = 5*u. Give z(a(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/6*(-22)\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-6))\/((-12)\/(-18)). Suppose 8 = -b - 4*i - 0, 0 = 3*i + 9. Suppose l = -0*l - 5*a + 6, b*l - 99 = s*a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6 + 2*t + t - 2*t. Calculate the lowest common multiple of 11 and n(13).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.437 - -0.082. What is a rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 122, 237, 352, 467, 582?\n\"Answer: 115*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 56. Suppose -338 = -2*n - 4*b, -b + 656 = 4*n + 3*b. Let u = n + -130. Calculate the remainder when u is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 5*g**3 - 11*g**3)*(-11*g + 10*g + 9*g).\nAnswer: -128*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198122.\nAnswer: 2, 23, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -336 + 22?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37\/8? (a) 2\/9 (b) -4 (c) 4 (d) 10 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2726 divided by -47.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 1352*q**5\/3 - 186472*q**4\/3 - 1519474*q**3 + 4379476*q**2\/3 + 357070*q\/3 + 2332 = 0. Calculate q.\nAnswer: -22, -1\/26, 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 + -110. Let o(j) = -j**3 + 49*j**2 - 46*j - 123. Let w be o(48). Let a = w + x. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64.51 * 0.86.\nAnswer: -55.4786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 833*u + 407356. Determine h(-489).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -111, 1, 76 in descending order.\nAnswer: 76, 1, 0, -3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p*x**3*z + 19*p*x**3 - 2*p*z - 2*x**3*z + 89*x**3 + 24*x**2*z + 2*x - 131*z wrt x?\nAnswer: -24*p*z + 114*p - 12*z + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245) - sqrt(245))*-6 + -3 + (sqrt(5) - ((sqrt(320) - sqrt(5)) + 1)) + (sqrt(5) - (sqrt(180) + -3)).\nAnswer: -1 + 115*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = -18*m + 315 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -693, -2782, -6263, -11136?\nAnswer: -17401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4201 (base 15) to base 14\nAnswer: -5127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -32, -7, 1, 576, 0 in ascending order.\nAnswer: -32, -7, -6, 0, 1, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 1:01 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let v = 1727 + -1726. Solve 2*m + v = -k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 2*x - 28. Let t be h(0). Let p be 92\/t + 3\/21. Is -4 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -1, 7, 0, 31\/5 in decreasing order.\nAnswer: 7, 31\/5, 6\/11, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, q: 5}. What is prob of picking 2 n and 1 q?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/31003 and -44\/10787.\nAnswer: 47775623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -140, -209, -278, -347, -416?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -111c (base 13) to base 14\nAnswer: -c2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x - 188. Let d be v(-31). Let h be (44 - 44) + (d - -1) + 5. Solve 0 = -3*s - h*s + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 4, v: 6}. Give prob of picking 2 v.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 0*t**2 + 4*t**2 - 7*t**2. Let z(p) = -4 + 3 + 1 + 2*p**2. What is d(z(q))?\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 6*g**2 + 3*g - 3*g**2 + 2 - 2*g**2. Let f be v(-4). Solve 4*k + 2 = 2*t, -2*k + 5*k + f = t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*n**5\/3 - 101*n**4\/2 - 1417*n**3\/6 - 297*n**2\/2 + 317*n\/6 + 19 = 0. What is n?\nAnswer: -3, -1, -1\/4, 2\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -227.37 to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.04 - -0.04. Let j = i - -5.5. Which is the smallest value? (a) 2 (b) 0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 5*f + 3. Let s be x(-6). Let m = 4 + s. Let j be m\/(-4) + 28\/48. Are j and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (72 - 77)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 74?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-21))\/((-6)\/36)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 1978*q**2 - 2938315*q + 35164900\/3.\nAnswer: -(q - 2965)**2*(q - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2923547 and 1086349?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let f(m) = -2*m**2 - 64*m - 52. Let l be f(-27). Is 4\/x*l\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {v: 2, i: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2597\/689 - (3 + 0).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 666356.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128602 by 638.\nAnswer: 64301\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*a = 4*a + 7, 12 = 3*d + 5*a. Let g be 4\/4 - (2 - d). Does 19 divide g - -75 - (-3)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15833347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 791479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgw when three letters picked without replacement from {w: 6, g: 5, p: 2}.\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-17 - -14)*(-2)\/6. Solve -2*c - t*c - 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u - 20. Let o be k(10). Let w be o\/(-15)*27\/6. Let n = w - -20. Solve 0 = r + 3*z + 2*z + 18, 0 = -4*r - n*z - 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, 109, -76.\nAnswer: -76, -5, 0.1, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*o - b**3*t**3 + 2*b**2*o - 90*b**2*t**2 + 7*b*o*t**3 wrt t?\nAnswer: -6*b**3 + 42*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -908 + 14539\/16. Calculate the common denominator of (814\/(-777))\/(4\/(-6)) - 2 and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3915 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 215 + 44*f**2 - 156 - 142 in the form j + p*f + a*f**2 and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2880 or -648119\/225?\nAnswer: -648119\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10995 and 10661485?\nAnswer: 3665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-221)\/(-2))\/(6\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -301822683, -301822688, -301822697, -301822710, -301822727?\n\"Answer: -2*j**2 + j - 301822682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/2 + 257625*r - 66370640625\/2 = 0. What is r?\nAnswer: 257625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 111. Let w be h*(1 - 0)\/(-1). What is the greatest common factor of 287 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -486 and 3?\nAnswer: -1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 4, 2.\nAnswer: -8, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 474, 544, 616, 690?\n\"Answer: s**2 + 67*s + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + 0 + 1) - (-312 + 309)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/9 (c) -2\/69 (d) -2\/5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-7))\/(-1)*((-2114)\/(-30))\/(-151)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -4. What is the nearest to 2\/3 in -4, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, k: 5, d: 4}. Give prob of sequence kdhd.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a factor of 216303962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*o = 268287 - 280164 for o.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -121111101010221 (base 3) to base 13\nAnswer: -1a7c1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - (sqrt(85) + (-1*sqrt(85)*-2 - sqrt(85)))) + sqrt(85))*1)\/((sqrt(50)\/sqrt(2))\/sqrt(5) - sqrt(5)*2*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 1145 + 1133. Solve -a - w*u = 11, 4*a - a = -3*u - 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u. Let c(k) = 2216*k. What is d(c(t))?\nAnswer: -13296*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11699391, 23398779, 35098167?\nAnswer: 46797555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 153403, 153403, 153413, 153439, 153487, 153563, 153673, 153823?\n\"Answer: m**3 - m**2 - 4*m + 153407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**3\/w)\/w*w**(1\/4))\/(w**(2\/11)*w**9) assuming w is positive.\nAnswer: w**(-305\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32\/15 + 22\/15. Let r = 0.26 - -0.04. What is the nearest to b in 2\/13, 2, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*k**2 - 3*k + 613 wrt k.\nAnswer: 44*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 times -1.42?\nAnswer: -0.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-20))\/(((-490)\/(-25))\/(-7))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*h - 502*h - 200*h - 137618 + 149048 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 14*h**2. Let v(w) = -33*w - 9. Suppose -15*o - 10 = -5*o. What is the remainder when v(o) is divided by x(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l - 4*u + 4, 0 = 3*u + 3. Let i(r) = -r**3 - 3*r**2 + r + 7. Let p be i(l). Solve 26 = 5*d + p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 7140?\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5918?\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 14785.\nAnswer: -3\/14785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -13 - 9 - (-4)\/((-16)\/(-296132)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -18*u + 39. Let a(k) = 6*k + 2. Let r(w) = -a(w) - g(w). What is r(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/12*2\/(-15). Let q = -7.66 - -4.66. Put n, -2, q in decreasing order.\nAnswer: n, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*6\/(-90)*(-10)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2124 and 472.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.1 (b) -0.09 (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 602, 1119, 1634?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30920 and 14.\nAnswer: 216440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a13a997 + 4?\nAnswer: -a13a993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1156434 divided by 24\nAnswer: 192739\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12541340 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 80 = -298 + 84 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*q + 1, -4*z + 0*z + 3*q + 11 = 0. Let f = z + -1. Let x be -2*f\/2*4. Which is the second biggest value? (a) x (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j**2 - 4976*j - 64. Let d(o) = 8*o. What is x(d(z))?\nAnswer: -512*z**2 - 39808*z - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/((-540)\/(-9)))\/(2\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 2. Let k = -13 + 13. Let o = 233\/1090 - 3\/218. Which is the third biggest value? (a) k (b) x (c) -0.3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*3*-6)\/sqrt(576)*2.\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 5:07 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 1, v: 2}. What is prob of picking 1 v and 1 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 4745. Suppose 0 = 5*b - t + 159. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - -63 - (((-6 - 0) + 6 - -149) + -10).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 5. Let h be w(0). Let m = 7 + h. List the prime factors of 40 - 0*m\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 0.3 (c) 20 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1883\/1419 + 3\/473. Solve 1\/3*v**4 + 1 - r*v**2 - 2\/3*v + 2\/3*v**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -335.3 - -391. Let u = 55.4188 - c. Let o = u - -0.29. Round o to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, y: 8, p: 4}. Give prob of picking 1 p, 1 h, and 1 y.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 3*l**2 - 6*l**2)*(1 + 2 - 1) - l**2 - 2*l**2 + 4*l**2 + 18 - 18 + 18*l**2 + (l + 2*l - 2*l)*(3*l - 2*l - 3*l) + l**2 + 6*l**2 - 4*l**2.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8594 = 2*p, -23135 + 1626 = -5*p + 2*o. Is p a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1025*n**3 - 5*n**2 + 26*n + 41. Is t(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 22. Is 2 a factor of u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223571, 447136, 670703, 894272, 1117843, 1341416?\nAnswer: 1564991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253211\/18 - 14071. Calculate the common denominator of l and -67\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/30 + 86\/(-20). Let w = 7 - 6.92. Let f = -5.08 + w. What is the third biggest value in f, -4\/3, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.2 and -1239?\nAnswer: -3964.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, y: 2}. Give prob of sequence yuuu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58348614?\nAnswer: 2, 3, 9724769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*y + x + 4*x, 2 = 2*y + 3*x. Let j = 2 + y. Solve 3*t = 3*b + 15, -3*t + j*t = 2*b + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1573)*2 + sqrt(1573))*-2.\nAnswer: -66*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 + 5*z + 7. Let f(c) = -c**2 + 8. Let s be f(-4). Let h be g(s). Suppose 5*w - 919 = -4*k, 5*k = 4*k + w + h. List the prime factors of k.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454017093 to the power of 1\/2, to the nearest integer?\nAnswer: 21308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/4 + 5*j + 2. Let t(q) = -7*q**2. What is t(c(v))?\nAnswer: -63*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, g: 2, h: 10}. Give prob of picking 1 g and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 5*c = 15*r - 21481, -16103 = -3*r + 4*c. Does 91 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 - 20*p - 20. Let x = 37 + -29. Let o(q) = -q**2 + 7*q - 12. Let t be o(x). Let k(b) = -b - 1. Calculate t*k(y) + u(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -961 = -3*i + 437. Let u be (2051\/7)\/(-5 + 6). Let z = i - u. Does 32 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16887, -67532, -151945, -270126?\n\"Answer: -16884*x**2 + 7*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.1. Let n = -1 + r. Let y = 3323.5 - 3323. Which is the third smallest value? (a) 5 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 2*x + 24 = -13*a, -12*x + 118 = -34*a - 9*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 3, o: 5, c: 2}. What is prob of picking 2 o?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -59c62 (base 14) to base 2\nAnswer: -110101100001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -298 by 2.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337159 is divided by 2875?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 11a477?\nAnswer: 11a472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2771*n + 2756*n + 53 - 14 = 5488*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1136\/25 + 73951\/1650. Calculate the common denominator of (6 - 1) + ((-6885)\/(-34))\/(-9) and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 11. Let x(r) = r - 11. Determine 3*l(h) + 2*x(h).\nAnswer: -h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 24874517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 53484508123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/7*(-4004)\/132?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*9\/((-99)\/11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 645\/35 - (-4)\/7. Suppose -45 = -x + k. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -10 + 0 - (3 + -4 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from xxccxcdccx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-10) - 3)\/((-6)\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/11))**(-36))**(-1\/6) assuming j is positive.\nAnswer: j**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-20)\/(-30)*6\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643389 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 5. Let g(r) = 39*r**2. Let a be g(u). Let i = a - 25. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, b: 1, y: 1, m: 1, u: 1}. What is prob of sequence muy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -127*b - 721*b + 37*b. Let a(q) = -q**2. Give a(y(h)).\nAnswer: -657721*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 5*q**4\/8 + q**3\/3 + q**2. Let w(z) be the second derivative of z**3\/2 + 1172*z. Give a(w(h)).\nAnswer: 45*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -1\/8, 0.37, -12, 1\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -14*p - 12. Let x(f) = 18*f + 13. Determine 4*a(o) + 3*x(o).\nAnswer: -2*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvpvppvvvvppvvv. Give prob of picking 4 v.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008394 to 7 decimal places.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 3 - 6 - 3)*(17*b + 20*b - 17*b).\nAnswer: 60*b**2 - 120*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, 319, 42.3, -6, 1, 1\/2, -0.02?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -937*k + 53422. What is the remainder when 57*2 - (-4)\/2 is divided by n(57)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-11)\/y)*y))**(2\/51)*y**(-2\/11)\/(y**44*y*y) assuming y is positive.\nAnswer: y**(-26194\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 15. Let q = p - -32. Let i = q + -25.999996. What is i rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z + 29*z**3 + 427*z**3 + 2*z.\nAnswer: 456*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (8 - ((-2 - -5) + -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10793, 21620, 32473, 43364, 54305, 65308?\n\"Answer: 2*s**3 + s**2 + 10810*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2428963*k**2 + 10628*k + 34 wrt k.\nAnswer: -4857926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -56508 divided by -6\nAnswer: 9418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -314226\nAnswer: 314223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*4274.3\nAnswer: 128.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 328 - 1753. Let m be (-38)\/k*(0 + 5). Which is the nearest to m? (a) 0.11 (b) -0.5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 16*o**2 + 15*o + 40. What is w(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 19755752 + 2784*o - 19755752. Let h(n) = 3*n**2. Calculate h(b(r)).\nAnswer: 23251968*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 5*v**2 + 5*v + 7. What is the tens digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-3) - 4\/(-1836)*(16 - -6875)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-69) + (-16)\/(-184). Factor -2\/3*l + 0 + p*l**3 - l**2.\nAnswer: l*(l - 2)*(2*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let k be 3\/((-9)\/(-15))*(-3)\/(-3). Sort k, 2, l in decreasing order.\nAnswer: k, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d + 1. Let a = 14322 + -14323. Let w(x) = -x. What is a*k(i) - 6*w(i)?\nAnswer: -11*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.27191 + -0.17191. What is the nearest to 66 in -1\/4, -1\/8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/372 and 109\/1680.\nAnswer: 52080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011022093 rounded to 5 decimal places?\nAnswer: -0.01102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -80, 2 in increasing order.\nAnswer: -80, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 + (-4)\/(-8)*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + (-30)\/5)\/(-1). Let k(c) = -1 + c**3 - 2*c**3 + 0 + 2*c**2. Let n be k(q). Solve 3*b - 2*u = -0*u - 14, n = 4*b - u + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, d: 2, k: 1}. What is prob of picking 2 e?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6836*o + 6555914 - 6555914 to the form s*o + v and give s.\nAnswer: 6836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.2624 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*g - 1403 - 475 = -70 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 3*m + 24*m**2 + m to y + z*m + g*m**2 and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n - 2*n**2 - 111 + 111)*((n - n + n**2)*(-3 + 3 - 2) + 3*n**2 + 5*n - 5*n - 5*n**2 - n**2 - n**2).\nAnswer: 12*n**4 + 36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -4*q + 9*q - u, 0 = -4*q + 5*u + 104. Let g = -1 + 3. Suppose r + g*r + q = 0. Is 0.1 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/((-1395)\/(-1026)))\/((-5)\/200*-12).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/18*((-6001)\/(-425) - 14). What is the nearest to 0 in -20, 1\/4, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 721*c**2 - 1158*c - 91. Let t(o) = 1082*o**2 - 1737*o - 146. Let l(b) = -5*t(b) + 8*y(b). Find the second derivative of l(m) wrt m.\nAnswer: 716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 0*h + 157 + 63\/5*h**5 + 139\/2*h**2 + 0*h**4 - 2\/3*h**3. Find the second derivative of b(w) wrt w.\nAnswer: 756*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 49972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -29*w**3 - 5122*w**2 + 34*w. Let j(l) = 5*l**3 + 852*l**2 - 6*l. Let x(m) = -34*j(m) - 6*o(m). Solve x(f) = 0 for f.\nAnswer: -441, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26394?\nAnswer: 2, 3, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 (base 8) in base 13?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125 (base 8) to base 4.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(117)))**2 + sqrt(117) + 2 + (-1 + sqrt(117) - sqrt(117) - sqrt(117)) + 0 + 2*(sqrt(117) + 1).\nAnswer: 6*sqrt(13) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19529.34cm?\nAnswer: 195293400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijiijjjjjijj. Give prob of picking 2 j and 1 i.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 3:14 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 7*t**2 + 4*t**2. Let k(h) be the third derivative of -h**4\/6 - h**2. Determine k(b(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 150 = -6*g, 2*g - 195 = 5*n - 305 + 60 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -14*u + 7. Let r(a) = -12*a + 6. Let s(h) = 5*m(h) - 6*r(h). Let d be s(2). Solve -d*g + 8 = -k - k, -k = g - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4687.\nAnswer: 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10636 - -5576. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -283*f**6 - 371*f**6 - 7*f**2 + 5*f**2 - 1113*f + 101*f**6 wrt f.\nAnswer: -66360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110100100 - -10?\nAnswer: 111110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.526 + -35.074. Which is the closest to 2? (a) -5 (b) -6\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 81 = 4276*j - 4279*j, 2*j - 21*i - 137 - 335 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146064 by -3.\nAnswer: -48688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 2649 - 1271. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -15*y - 4. Let m(d) = -73*d - 20. Let c(h) = -m(h) + 5*v(h). Let k(o) = -3*o**2 + 45*o - 5. Determine k(c(t)).\nAnswer: -12*t**2 - 90*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k - 5. Let r = -486 + 489. Solve r*v = 4 + k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 7450.\nAnswer: 670.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.033 - 0.333. Let d be 1*(-1 - -5 - 3). What is the third biggest value in d, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 54987.\nAnswer: 54991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3147020 and 629404.\nAnswer: 3147020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 12. Let l be o(-10). Suppose 2*h = l*j + 80 + 38, -4 = j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/36 + 3\/(-6). Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 6. Let l = 14 + d. Solve -s + l*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 61, 141, 265, 439, 669?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.53982 and -0.5.\nAnswer: 1.03982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -61\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -49. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.8 + -43. Which is the nearest to -1? (a) 16 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgccccgcgcqgccgcc. Give prob of picking 1 q and 1 g.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124.7 - 17.3. Let t = l + 141.933. Let g = t - -2.067. Which is the third smallest value? (a) g (b) 3 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212.4 - 42. Let n = p + -179.09. What is n rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**4 - 2*k**3 - 9*k**2 + 6*k. Let v(j) = -2*j**4 - 2*j**3 - 7*j**2 + 5*j. Let u(s) = 3*t(s) - 4*v(s). Let u(x) = 0. What is x?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a04 (base 11) in base 2?\nAnswer: -10001111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*j*r**3 + 7*i*j*r - 19*i*r**4 + 52*j**3*r**4 - 2*j**3*r**2 - 19*j**3 wrt r?\nAnswer: 12*i*j - 456*i*r + 1248*j**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0*z + 0*z**4 - 3*z**2 - 1\/2*z**3 + 0*z**5 + 1\/60*z**6 + 0. Differentiate u(k) with respect to k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -156 (b) 0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 9*p + 12. Let k be w(12). Let x be ((-36)\/k)\/(0 + (-9)\/(-84)). Solve 5*m + 2*o - 16 = 0, 2*o - 6*o = m - x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1587 + 1590. Sort 0, -5, l, -17 in decreasing order.\nAnswer: l, 0, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/6 - (-13)\/(39\/2). Let o(b) = 3*b. Let w(c) = c. Determine f*w(u) + 2*o(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*y = 0, 5*c + 5*y - 21 + 1 = 0. What is the tens digit of (-177)\/(-1*1\/(c\/3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -559 + 1147\/2. Suppose 0 = -4*d - 3*j - 117, 4*d + 102 + 13 = -5*j. What is the common denominator of 257\/d + (-4)\/(-6) and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138814*n**2\/9 - 416006*n\/9 - 436\/3 = 0. What is n?\nAnswer: -218\/69407, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 1. Let h be k(11). Let s(z) = z**2 - 11*z + 13. Let d be s(h). What is the first derivative of -3 - 1 + 0*u**4 - d*u**4 wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**4\/6 - s**3\/3 + s**2\/2 + 3*s. Let d be j(2). Suppose -d*o = -26 - 9. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, 43.1 in decreasing order.\nAnswer: 43.1, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 10 - 2)*(27*y + 0*y - 29 + 30*y + 30).\nAnswer: 627*y + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (1 + -7 - (209 + -221)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183618 is divided by 22934.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8 + 116. Let j(p) = 0*p + 3*p + 37 - f. What is j(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.2. Let k = 1.2 - w. Let v(h) = h**2 - 305*h - 2506. Let l be v(-8). What is the second smallest value in -0.07, k, l?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415439198 + 11?\nAnswer: 415439209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 130, 136, 142, 148, 154?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2 = m, m + 0*a - 4*a = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 976 >= 955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 2*a**2 - 2*a + 2. What is n(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 101.000308. Round n to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/94424 and -127\/308.\nAnswer: 660968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -68953817390.7?\nAnswer: -68953817391.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/56 and -51\/36554.\nAnswer: 146216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + a + 3 = 0, 3*b - 23*a + 71 = -38. Let y(v) be the first derivative of 2\/3*v**3 + 15 + 0*v**b + 0*v. Let c(r) = -33*r**2. Determine y(c(p)).\nAnswer: 2178*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 15. Suppose -z + 2*z = -r - 19, -k*r - z - 103 = 0. Is (-7794)\/(-14) + (-6)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*q + 398*q + 443*q + 399*q + 413*q - 2000*q.\nAnswer: 73*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -3*w**5\/20 - w**4 - w**2\/2 + 2*w - 4. What is the third derivative of c(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((155\/(-2790))\/((-2)\/(-3))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29163 is divided by 7285.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381881 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1805048, -1805044, -1805040, -1805036, -1805032?\n\"Answer: 4*z - 1805052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2563 (b) 6\/7 (c) 363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -425.5958 - -0.5958. Which is the closest to 1? (a) x (b) -1\/2 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + q = -2, -5*p + 5*q = -2*p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 1 - 1)*(4*l + 0*l - 5*l)*(-74 - 1768*l + 3538*l - 1773*l) to z*l**3 + o + x*l**2 + u*l and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 6 - 4. Suppose -4 = -a + 2. Suppose -4*h - 14 = a, 0 = -2*f + p*h + 69. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 6. Let n be d(0). List the prime factors of (-3)\/n + (-99)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 19*c**2 + 34*c + 28. Let p be w(-17). Let d(o) = -o**3 + 27*o**2 + 26*o + 64. What is the remainder when 135 is divided by d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 713 + -708. Solve 2*q - 20 = -2*v, -b*v + 15 + 20 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) 13\/2 (c) 3\/5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3476 + 3476. Let b - 9\/5*j - 6\/5*j**2 + 3\/5*j**3 = 0. What is j?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -7 - 17*p + 65\/2*p**2. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/140 and -103\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**7\/105 - g**6\/30 - 3*g**2 + 7. Let s(o) be the second derivative of p(o). Factor s(x).\nAnswer: -2*x**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d. Suppose -5*u = 2*v - 24, 0*v = -u + v + 2. Let j be 40\/12 - u\/(-6). Let n(p) = 4*p - p - j*p. Determine y(n(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*m = 3, 0*m + m = -5*o + 5. Suppose -2 = -2*d + 2. Differentiate -d + o + w**3 + w**3 wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let t = z - 0. What is the remainder when t is divided by (4 + -7)*((-4)\/3 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101 + -111101010010001?\nAnswer: -111101001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 17 (c) 0.05 (d) -0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = -3*p, -4*p - p = 4*r - 12. Let v(u) = 3 - 11*u + 129*u - 3 - 120*u. Let s be v(p). Solve -f - f = s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f + 943223*f**2 + 491345*f**2.\nAnswer: 1434568*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 - 19*o + 13*o - 11 - 42*o**2 - 9 + 12*o + 45*o**2 in the form g*o + l + h*o**4 + k*o**3 + b*o**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/5880 - s**6\/2520 - 5*s**3\/6 + s**2. Let q(t) be the first derivative of x(t). Suppose q(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 560 + 236. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 63*y - 28. Suppose -374 = 17*a + 153. Let s be z(a). Solve -3*u = i - 17, -s*i = -3*u + u + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 11:17 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 7*w + 0*w)*(-4*w**2 - 1 + 1).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 428165568 a multiple of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 28081?\nAnswer: 28081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10133 + 41?\nAnswer: 10214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 10. Let w = 1.9 + s. Let y = w + 0.2. Sort -4, y, 2 in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*c = c - 365, 2*c = -10. Let z = k + -73. Solve -4*d - 20 = 2*o, 5*d + 2*o - z*o + 18 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*y + 2)*(y**2 - y**2 - 4*y**3)*(-23*y + 114 - 114).\nAnswer: -184*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n - 32*n - 320 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - ((-54969)\/(-5271) + (46\/(-42) - 4\/(-6))).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)\/(v*(v**(-2\/27)\/v*v)\/v))\/(((v**(1\/22)*v)\/v)\/v*v*(v\/(v\/(v**(2\/33)*v)))\/v))**(-31) assuming v is positive.\nAnswer: v**(-32705\/4158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/22 and 91\/288178?\nAnswer: 288178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(2 + ((2*(sqrt(175) + sqrt(175)*1) - (1 + 2*sqrt(175))) + -3*3*-1*sqrt(175))**2).\nAnswer: -105888 + 550*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -72. Solve v*l = 8 - 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -87941, -351842, -791673, -1407434, -2199125, -3166746, -4310297?\n\"Answer: -87965*j**2 - 6*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 89430.57 decades?\nAnswer: 10731668.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22185 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*v + 2*f, -3*v + 1238*f = 1241*f - 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -4. Let p be (f\/18)\/((-3)\/9). Let t = 0.04 - -0.16. Which is the biggest value? (a) p (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 3 - -10 - (2 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 10*w - 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/36325?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/855*3 - 0. Let a be (5 + -5)\/(1*-2*1). Is h > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8477769953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**3 - 7*h**2 - 8*h - 2. Let o(g) be the third derivative of -g**6\/12 + g**5\/10 + 7*g**4\/24 + g**3\/3 - 4*g**2. Determine 6*k(v) + 7*o(v).\nAnswer: -4*v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from nnvlveonmoovovv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.914457 microseconds to minutes.\nAnswer: 0.00000036524095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146855883 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x + 15 = 4*l, 0 = 5*l - 15. What is the greatest common divisor of 24 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) -8 (c) 5.3 (d) 4054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 u when four letters picked without replacement from uououuuuuuuouuouuuuu.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -2*t**7\/7 + 3*t**4\/2 - 37*t**3\/3 + 70. What is the third derivative of j(g) wrt g?\nAnswer: -240*g**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*y - 4*y - 724 - 1212 = 0 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 509*w - 313*w + 92*w as a + g*w and give g.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 8 = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 15*c + 5. Let v be b(-1). Let f be ((-4)\/10*-3)\/((-4)\/v). Factor 9 - 12*a**2 + f*a - 3 + 9*a**2.\nAnswer: -3*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 684.854 millennia in years?\nAnswer: 684854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/211 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 8 + 25 - 2*g**2 - 11 - 10 - g**3 - 9 in the form m + x*g**2 + t*g + c*g**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 976590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 - 6*p**3 + 3*p**3 + 5*p + 0*p**4 - 4*p as j*p**2 + k + r*p**3 + w*p + s*p**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2\/7, 67 in increasing order.\nAnswer: 1\/7, 2\/7, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 5, p: 1, q: 3, x: 1}. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.157713 + 332.419.\nAnswer: 332.576713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -1071*o**5 - 2136*o**4 + 51420*o**3 - 135234*o**2 + 87507*o - 486 = 0.\nAnswer: -9, 2\/357, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5489442 and 28861?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -22. What is the remainder when 39 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/(b*b**(-7\/2)*b))\/b*b\/(b*b\/b**(-24)*b)*b)\/(b**(23\/4))**41 assuming b is positive.\nAnswer: b**(-1029\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -83. Suppose 5*u - 4891 = f*k - 7*k, -3*k = -4*u - 3707. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 14*s - 10. Let m(v) = v**3 - v**2 - 3*v + 1. Let i be m(s). Sort -2, i, 4 in increasing order.\nAnswer: -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from nudnjdsnsuhsnudsh?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162656377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 6, w = -3*t - t - 6. Suppose -2*y - 5 = -7*y. Solve 0 = -5*q + 3*b + y, b + w = -0*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -10\/264640563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7476569 and -0.4.\nAnswer: -7476569.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -43*c**2 - 2*c. Let m be v(1). Let b(k) = k**3 + 2*k**2 - 3*k + 3. Let n be b(-4). Let o = n - m. Calculate the greatest common factor of o and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 72\/17521?\nAnswer: 72\/17521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 2:56 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13433 and 439451?\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 10. Let a = h + -11. What is the nearest to 0.1 in 3, -5, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*d*j*u - 453454*d*j - 53139286*j*u with respect to d.\nAnswer: 26*j*u - 453454*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2977.7 + -2811. Let n = s + -160. Let d = n + -6.364. Round d to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 66. Let m = -19 - -18. What is the closest to m in a, 1, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - -48. What are the prime factors of i?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 21*j - 45. Let l be k(4). What is the second smallest value in -0.3, -1, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - t = -0*t + 1, -1 = t. Suppose -4*i - i + 230 = u. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2841 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 2*s**2 + 4*s - 3*s + 5*s**2 - 2*s**2 + 3*s**2 - 4*s**2 + 3*s**2 + 11*s**2 + (0*s - 2*s + s)*(-s + 3*s - s))*(-8 + 3*s - 3 + 13).\nAnswer: 51*s**3 + 37*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -44. Let g = 18 + w. Let r(x) be the third derivative of x**4\/24 + x**3\/3 - 24*x**2. Let f(l) = -l - 4. Calculate g*r(c) - 2*f(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.284 rounded to one dp?\nAnswer: 30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**3 - 271780*l - 54*l**2 - 2*l**3 + 271830*l + 19. Let k be b(17). Factor 0 - 1\/4*y**k - 1\/2*y.\nAnswer: -y*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -854.01 - -871. What is c rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-58)\/(-14) - ((-504)\/(-98) + -4). Let a = 219\/86 + -2\/43. Factor 0 + 1\/2*n - 1\/2*n**p - a*n**4 + 5\/2*n**2.\nAnswer: -n*(n - 1)*(n + 1)*(5*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15\/5)\/((12\/1570)\/2).\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 7004\/4155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 123*b**2 - 12*b - 246. List the prime factors of m(-9).\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -48?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*f + 66 - 75, -5*h = -44*f + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 64, 92, 142, 220, 332, 484, 682?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200591.\nAnswer: 200591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -1.8?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 4\/7, 107, -0.3, 55, -3?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + 2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5917 - -5923. Which is the closest to -7\/3? (a) 3 (b) 0.5 (c) 2\/11 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599145 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-336)\/30)\/2 + 3660\/(-150).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 14. Let d(c) = -c**3 + 6*c**2 - 6*c. Calculate the smallest common multiple of d(4) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2 = -5*b, 4*z = 4276*b - 4267*b - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -685*c**2 + 711 - 346 - 362 to the form x*c + l*c**2 + s and give l.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g**2 + 6*g. Let v(n) = -31*n**2 + 17*n. Let d = 199 + -216. Let w(j) = d*c(j) + 6*v(j). Let m(u) = 62*u**2. Calculate w(m(r)).\nAnswer: 3844*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 137610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/13)*(x\/(x\/(x\/x**(-19))))\/x assuming x is positive.\nAnswer: x**(245\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8)*((-598)\/26 - 5). Solve 0 = 2*p + n + z, p - 30*n - 1 = -29*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 12. Let p = -0.01 + 0.31. Let g = 9 - 5. What is the closest to 0.1 in p, z, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3808\/(-6) - 8\/6. Let v be (o + (-6 - -2))*25. Round v to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511348.\nAnswer: 2, 127837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/27 + 19*296\/(-703)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3628 + -8?\nAnswer: -9.3628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/30307 or 1?\nAnswer: 4\/30307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-2 - 2 + 6)*(0*f**2 + 0*f**2 + 2*f**2).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*a*c*l + a*l**2 - 2*a*l + 2*c*l**2 + 92*l with respect to a.\nAnswer: -9*c*l + l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2551, -3341, -4147, -4975, -5831, -6721, -7651, -8627?\n\"Answer: -d**3 - 2*d**2 - 777*d - 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 11*q + 5. Let d(z) = -z - z**2 - 5*z - 2 + 2*z. Let x(r) = -7*r**2 - 8*r + 10. Let f be x(3). Let k = f - -85. Determine k*d(h) + 3*j(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2716 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14357 - 8*q + 14357. Let n(h) = -3*h + 1. Determine r(n(i)).\nAnswer: 24*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6 - 15 = 0, 2*z - 5*w = -23. Let g(x) = x**3 + 4*x**2 + 3*x + 4. Give g(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, 15, 4\/5, -2\/9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 54*u**2 - 16*u - 85. Calculate the remainder when x(-54) is divided by 377.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 - 13 + 17)*(u - 4 + 4).\nAnswer: -74*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 12*n = 770. Suppose a + 39 = 3*t - 203, -3*a + n = 2*t. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -51*x + 101*x - 53*x + 0 - 5. Suppose 4*i + 2 = -10. Let h be w(i). What is the highest common factor of 28 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-5 - -9) - (-4 - -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/1629968 and 11\/1426222.\nAnswer: 11409776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**7\/63 + 7*a**6\/45 + 19*a**5\/30 + 25*a**4\/18 + 16*a**3\/9 + 4*a**2\/3 + 5*a. Find h such that s(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*w + 332 + 200 = 0. Put w, -2, 1 in increasing order.\nAnswer: -2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108652 at most -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*r**2 - 101 - 11*r**6 + 101 wrt r.\nAnswer: -1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - o = 6, 0*o - 8 = -4*x + 3*o. Factor -2\/7*q**x + 0 - 4\/7*q.\nAnswer: -2*q*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 14*g + 25. Suppose 0 = 4*s + 43 + 37. Let k = s - -40. Calculate the highest common divisor of g and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17567, 35208, 52871, 70568, 88311?\n\"Answer: 2*k**3 - k**2 + 17630*k - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 2550233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3072, -6155, -9228, -12285, -15320?\nAnswer: -18327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -42*t. Let r(n) = -438685*n**2. Determine r(h(a)).\nAnswer: -773840340*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from babbbbaaababbabbabb?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 - 6 = 0. Let g be (3 - -49)*n\/6. Suppose 2*d = -2*x + g, 3*d - 6*d + 69 = -3*x. Calculate the remainder when 35 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 8*w**2 - w - 8. Let b be v(-8). Let i be b*(-2 - (-6)\/4). Suppose i*f = 2*f. What is f rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*a**4 - 4*a**2 + 4578 wrt a.\nAnswer: -76*a**3 - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 2. Let r be q(-3). Let x = r + -5. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2888*z - 141374 - 216466 = 1810*z - 61866 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 157, 418, 841, 1426, 2173, 3082?\n\"Answer: 81*w**2 + 18*w + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 735191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 23, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842*c + 110 + 11 - 849*c.\nAnswer: -7*c + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 + 3*m + 5. Let f be r(-3). Let w be -1 + 1 + (-1 - 4). Put w, f, -2 in increasing order.\nAnswer: w, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (2 + -2)) + 0. Let x(t) = 2*t**2 + 45*t + 29. Let g be x(-22). Find the third derivative of -m*a**5 + 7 - 13*a**2 + 0 - g wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1433 or 1426?\nAnswer: 1426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 12*n = 0. Suppose n = f - 5*z - 32, -2*f + 6*z - 3*z = -29. Solve -2*a - 2*a + q = f, 0 = -4*a + 2*q - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -5, 160, -1 in decreasing order.\nAnswer: 160, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/5 - 2*h**2 + 13*h\/5 + 22\/5 = 0.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - 4 - 3\/3. Suppose 3*d = -k*l - 14, -4*d - 2*l - l = 7. Factor -4\/15 + 2\/15*u**d + 2\/15*u.\nAnswer: 2*(u - 1)*(u + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -993?\nAnswer: -993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x + 17202. Let i(z) = -94*z**2. Calculate t(i(f)).\nAnswer: 1316*f**2 + 17202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -12*b - 2. Let o be j(4). Let u be o\/30*(-1 - 2). What is the second derivative of -l**u + 3*l + 4*l**5 + 4*l**5 wrt l?\nAnswer: 140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -227 - 0?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -563*t - 231*t - 14 + 187*t + 5. Is d(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119629043, 239258088, 358887133?\nAnswer: 478516178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-5))\/(4\/(-120)). What is the common denominator of 175\/(-18) + 2 + 0 and 6\/4 + (-195)\/f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 722*o**3 + 602*o**3 - 1326*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**2 + 10*l - 75 = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -223, 122, 767, 1772, 3197, 5102?\n\"Answer: 10*u**3 + 90*u**2 + 5*u - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3655*c**5 + 4774*c**2?\nAnswer: -219300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (50*q**3 + 201*q**3 - 2392*q**3)*(2*q - q - 3*q) + 14*q**3 + 7*q**4 - 14*q**3 as s*q**4 + p*q**2 + j*q**3 + t*q + c and give s.\nAnswer: 4289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*u - q + 3, -3*u = 2*q - 22. Suppose 2*r = 2 + u. Solve r*j - 20 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 2341*j**2 - 120 + 46 + j - 623*j**2 + 38.\nAnswer: -2964*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 77 = 2*o. Suppose -638256 = -o*n + 912744. Round n to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 132, -66 = -128*k + 43*k + 54*k + 4*d + 110 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 2*p - 88. Factor 0*a**4 - 4*a**3 - a**p + 2*a**4 - 240*a**2 + a**5 + 236*a**2.\nAnswer: a**2*(a - 2)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/13498 and 49\/306.\nAnswer: 121482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1001111000010101 (base 2) to base 8\nAnswer: 117025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -30068*p - 1989. Is f(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b. Let l(n) = -44077009*n**2. What is l(k(i))?\nAnswer: -1101925225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33353\/3360 + 139\/14. Let s(m) be the third derivative of -b*m**6 + 0 + 0*m**3 + 1\/840*m**7 + 0*m**5 + 0*m + 0*m**4 + 2*m**2. Factor s(v).\nAnswer: v**3*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*z**4 + 5851*z**3 + z**2 + 377883*z + 1?\nAnswer: -1800*z + 35106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrccryayb. What is prob of picking 1 c, 1 b, and 1 a?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 33*p**3 + 3*p + 5*p.\nAnswer: -33*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -553, -2007, -4453, -7891?\nAnswer: -12321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 502 (b) 5 (c) -1\/4 (d) 4 (e) -6 (f) 740\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47257 rounded to the nearest one hundred?\nAnswer: 47300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241*p*v**2 - 7*p*v - 51*p - 12*v**2 - 2*v - 1 wrt v?\nAnswer: 482*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 108912.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 46 = -w + 2*x, 0 = x + 5. Solve 14*h - w*h + 40 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s - 4*s)*(-s**3 + s**3 + s**3) - 136296*s + 68147*s + 68152*s + 1946*s**4.\nAnswer: 1944*s**4 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*k**2 + 6*k**3 + 10*k**3 + k**4 + 8*k**3 - 24*k**3 - 63*k wrt k?\nAnswer: 12*k**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15\/359 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5\/4 - 3633*f**4\/4 + 479109*f**3\/2 + 44630985*f**2\/2 - 561052557*f\/4 + 854221599\/4 = 0. Calculate f.\nAnswer: -77, 3, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*k - 1148 = -4*k, 5*k = 4*y - 1538. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3724 + 3723. Sort 6\/13, 1\/5, v.\nAnswer: v, 1\/5, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(3\/2))\/p**(-1\/5))\/(p*p\/(p**(-8)\/p)*p**(4\/7))*(p**(2\/37)*p*p**(-1))**(3\/35) assuming p is positive.\nAnswer: p**(-5629\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -1 - 7 + 29*m + 28 + m**5 + 11. Differentiate h(g) wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42025.543 - 0.086\nAnswer: 42025.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/10))**(-11))**(-3\/4))**2 assuming g is positive.\nAnswer: g**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/12 - 4*f**3\/3 + 9*f**2\/2 + 797*f. Suppose -1 - 13 = m. Let x = -22 - m. Determine p(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -40 + 29 + 0*i**3 - i**3. Let t be (-2 - -2)\/(1 - 3). Give q(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2\/21, 104?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4368\/(-832)*(-12)\/2772.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 2891*o - 856272. Determine r(335).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + 31. Let h = s + -3. What is the greatest common divisor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 11*z + 46. Determine y(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*a + 2, 0 = 2*a + 3*k - 0 - 2. Let r be a*(0 - 3) + 3. Let 8*x**2 + 5*x + r*x - 11*x**2 - 2*x = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*b**2*j**3 + 8583202*b**2*j**2 + 24434*b*j**3 wrt j?\nAnswer: -240*b**2 + 146604*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-8)*b*b**9*b*b)**(-26\/5))**27 assuming b is positive.\nAnswer: b**(-702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*g - 2*g, -3*c + 5*g = 4. Let b(s) = -4*s + 11*s + s**c - 2 - 4. Let v be b(-9). Solve 2*q = -5*u + 21, -3*u + v + 5 = -q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 9, a: 3, y: 1, j: 3}. Give prob of sequence jj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -361 - -440. Suppose 0 = -25*b + h + 21. Calculate the lowest common multiple of 56 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - q**2 + q**2 - 1 - q**2. Let z be k(-2). Suppose 2*c + c = 0. Put c, 2, z in decreasing order.\nAnswer: 2, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 1*(-761)\/1. Let o(b) = -b**3 + 27*b**2 + 192*b + 267. Let y be o(33). Calculate the highest common factor of y and h.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.1 + -3.1. Which is the nearest to -1? (a) 0.3 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 143146*z + 3292319. Calculate j(-23).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 284*l**2 + 2540*l + 6100.\nAnswer: 4*(l + 5)**2*(l + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8724610*i. Let y(h) = 2*h**2. Determine y(j(v)).\nAnswer: 152237639304200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -7*u**6\/27 + 82*u**5\/9 - 152*u**4\/3 - 4664*u**3\/27 + 736*u**2\/9 - 276. Let q(k) = 0. Calculate k.\nAnswer: -2, 0, 2\/7, 8, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l - 2. Let y(o) = o**3 - 7*o**2 + 8*o - 7. Let h be y(6). Let f be h\/(-7) + 4\/(-14). Which is the third biggest value? (a) l (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1554*i = -77*i - 40775 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 10 = 4*j, -c - 20 = -2*j - 6*c. What is the second derivative of s**5 - 3*s + 0*s**j - s**5 + 4*s**5 wrt s?\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -86, -228, 3, 5, 2 in increasing order.\nAnswer: -228, -86, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 5 + 1 - (-7 - -7)) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5. Let o be -2 + 3 + l + 31. Let w = o + -22. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-5766)*1519*18\/14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14066867 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 21 = -w, 0 = -5*u - 8*w + 9*w + 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205 + 79 + 36)*(-2*j**2 + j**2 - j**2 + j**2 + j**2 + 0*j**2 - 5*j**2 + 0*j**2 + 3*j**2 + (j - 2*j + 3*j)*(-j - 3 + 3) - 2*j**2 + 2*j**2 + 2*j**2).\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40310)\/630 - (-303)\/(-19089)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15500 = 2*c, 5*r - 17347 = 5*c + 21403. Let z = 6213 - c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2368597, -4737196, -7105795, -9474394, -11842993, -14211592?\n\"Answer: -2368599*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(2\/29))\/r)\/(r\/(r\/(r\/r**(1\/14))*r)))\/((r**(11\/4)\/r)\/r**(-1\/28)) assuming r is positive.\nAnswer: r**(-131\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007228 rounded to 6 dps?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 245680 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/1627 - 9705\/30913. Let b = -5 - -5. Is g less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -804*c**2 + 93*c - 88. Give w(1).\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q + 6. Let r be l(1). Suppose 3*p - 31 = -4*b, 8*p - 18 = -2*b + 4*p. Suppose 4*d - b*d - 5*n = 22, 3*d + 12 = -3*n. Sort -4, r, d.\nAnswer: -4, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x. Let s(q) = 4505*q**2 - q + 2. Give s(f(h)).\nAnswer: 72080*h**2 - 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (9 - 12) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 16*x**2 - 15*x - 16. Let g(z) = z - 29. Let a be g(13). Let d be s(a). Suppose -4*y + 476 = -d. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/55, -0.04, -1, -0.4.\nAnswer: -1, -0.4, -0.04, 1\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(252) + -4)*5)**2.\nAnswer: -19200*sqrt(7) + 107204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 366 + 91*a - 366 + 5*a**2 + 2*a**3.\nAnswer: 2*a**3 + 91*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*t - 8*n - 116, -t + 2*n = -38. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268 + 25*c**3 - 268.\nAnswer: 25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7251336*s**3 + 31864*s + 15932. Let y(c) = -4552*c**3 + 20*c + 10. Determine 5*a(h) - 7966*y(h).\nAnswer: 4552*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.6737 rounded to one dp?\nAnswer: -47.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 28 = -0*w - 4*l, -4*w + 2*l = -44. Calculate the remainder when 68 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4291, 7428, 10561, 13684, 16791?\n\"Answer: -b**3 + 4*b**2 + 3132*b + 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 580644653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*z + 66 + 6 = -50. Let c be 4\/5070*(-1 + 6). Is z bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/135*-9)\/((-1)\/4790) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1142c26b?\nAnswer: -1142c269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/4, 0.3, 54 in decreasing order.\nAnswer: 54, 2, 0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*u**3 - 54 + 39*u**3 - 33 + 51*u**3 wrt u.\nAnswer: 471*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16801\/17 + 988. Let u = g - -47\/102. Put u, 4, 0.4 in descending order.\nAnswer: 4, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -2\/7 (c) -2\/23 (d) -1\/214 (e) 282 (f) -4 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(221\/(-2210))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -0.3\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-216)\/672*34\/51.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 25. Let k(p) = -34*p + 1. Let m(n) = 35*n - 2. Let a(s) = 3*k(s) + 2*m(s). Let w be a(-2). Calculate the highest common factor of g and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98550 by -90.\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.182 < -61\/4013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001142888666 to six decimal places.\nAnswer: 0.001143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*(sqrt(1216) + sqrt(1216) + 0 + 4) + 0 - -3*(6*(sqrt(1216) + sqrt(1216) + 0) - (sqrt(1216) - (4 + sqrt(1216) + 0 - sqrt(1216))))))**2.\nAnswer: 25920*sqrt(19) + 2463696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 1. Let y = 230 - 152. Let c(m) = 65*m - 78. Let p(d) = y*o(d) + c(d). Let x(k) = 14*k. Determine x(p(b)).\nAnswer: -182*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17366365183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909809732?\nAnswer: 2, 3, 29, 5487959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 0*t - 6*t + 2*t + 0 + 0 + (-2*t + 2*t - t)*(2 + 2 - 3) - 3*t + 3 - 3)*(-29 - 16 - 6)*(8*t + 3*t - 4*t).\nAnswer: 1428*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + (854 - 865).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 666189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 124. Calculate the highest common factor of a and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -40, -47?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 6*l + 8*l + 4*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, -1, -3134\/43?\nAnswer: -3134\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90676570 rounded to the nearest 100000?\nAnswer: 90700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3275, -7557, -11863, -16205, -20595, -25045, -29567, -34173?\n\"Answer: -2*a**3 - 4268*a + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2445 and 56415?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 146 divided by 73\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-8)\/(-9) + 46\/207\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 572*k**3 - 2*k + 1. Let n be d(1). Suppose 129 = -l + 3*q, q - n = -3*l + 7*l. What is the smallest common multiple of l\/(-15) + 6\/(-10) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2929777?\nAnswer: 157, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**3\/5 + 144*i**2\/5 + 546*i + 980 = 0.\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4018518000 to the nearest 1000000.\nAnswer: 4019000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281035741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzooozzoozzoo. Give prob of picking 1 o and 2 z.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-552)\/(-84) - 8\/14. Suppose 0 = v - 4*v + u, -2*y - 3*v + 10 = 0. Determine n so that -n - 3*n**3 - 4*n**2 + 3 - n**2 + 2*n**y + 4*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8358?\nAnswer: 2, 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - -3) - 2 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 2. Suppose 14 + 6 = n*j. Suppose -p - 207000 = -j*p. What is p rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 92556375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00231229821 rounded to 5 dps?\nAnswer: -0.00231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3357, -3, -22371 in decreasing order.\nAnswer: -3, -3357, -22371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-8)\/(-10))*4. Suppose 3995 = 5*b - 4*r, -3*r = 4*b - 8*r - 3196. Suppose -54 + b = y*s. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 - 11*u**3 + 2*u**4 + 6*u**3 + 3*u + 3*u**3 as s*u + z*u**4 + k + h*u**3 + b*u**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20108*t**4 - t**3 - 96893*t**2?\nAnswer: -482592*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2059.53564 + -2059.5. Is l > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19258, -19260, -19264, -19270?\nAnswer: -19278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b - 55 + 55)*(-b**3 + 2*b**3 + b**3).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12304169 is divided by 20784?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 345619.409 and 0.43215.\nAnswer: 345619.84115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3718652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1071, 1069, 1067, 1065, 1063?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14634195 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13)\/(-4) + -4 + 1. Solve -1\/4*d**3 + 1\/4*d**4 + 0*d + 0 + o*d**5 - 1\/4*d**2 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3089 is divided by 1539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxf when three letters picked without replacement from ycfxk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3796514*b. Let n(a) = -4*a. Determine k(n(o)).\nAnswer: 15186056*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s - 13. Let v(q) = 2*q - 7. Let j(p) = p + 5. Let u be j(-10). Let w(g) = u*v(g) + 3*t(g). Differentiate w(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 74, 151, 230, 311, 394, 479, 566?\n\"Answer: n**2 + 74*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1 + 0 - 4 + 5*g - 2. Let u(w) = -w**2 - 13*w + 52. Let q be u(-16). Let d be o(q). Calculate the highest common factor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4261\/15281 - -15\/2183. Let f be (70\/(-9))\/(-5) - 1. What is the nearest to f in 4\/7, u, 0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 1, k: 4, x: 5}. Give prob of picking 2 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 2. Let f be j(0). Suppose -3*c = -0*m - m - 335, f*m + 4 = 0. What are the prime factors of c?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-354)\/(-45) + 27 + -35\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131*k**5 + 6372*k - 6372*k + (4*k - k - 5*k)*(-3*k**4 + 0*k**4 + 4*k**4).\nAnswer: 129*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87, 769, 2625, 6243, 12211, 21117, 33549, 50095?\n\"Answer: 98*b**3 - b**2 - b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*n + 54 - 132 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 267, 652, 1181, 1848, 2647?\nAnswer: 3572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 2*w**2 + 2*w + 3. Let n(q) = -q**2 - 4*q + 3. Suppose 32*i - 10 = 34*i. Let m be n(i). Determine l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f**(-3)\/f)\/f*f))*f)\/(f**1\/f))**(-23) assuming f is positive.\nAnswer: f**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 24. Let o be q(15). Let f be o*3\/(-9) - 1. Solve 4*m + 4*i = -4, 5*m - f*i + 2 + 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 938 (c) -4 (d) -2\/5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*c - 15. Let p(a) = a**2 - 8*a - 6. Let w be p(c). Suppose w*n - 5 = y, 2*y + 5*n = 2 + 21. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f*f*f\/f**5)))*f**(-6))\/((f\/f**(-6\/7))\/f**7) assuming f is positive.\nAnswer: f**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5\/q**16 assuming q is positive.\nAnswer: q**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 36*o + 18. Let u(q) = -7*q - 2. What is 2*j(k) + 11*u(k)?\nAnswer: -5*k + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.243498m in micrometers?\nAnswer: 3243498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-2))\/(3\/(-4)). Let l(w) = -w + 8. Let y be l(a). Suppose 4*f = -y*u + 99 - 41, u = 2*f + 17. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286941 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 12\/31, 0.5 in descending order.\nAnswer: 45, 0.5, 12\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -1\/688852?\nAnswer: -1\/688852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -22. Which is the second smallest value? (a) 0 (b) y (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 23 + -1 + -1. Suppose -4*p - 2 = -3*h - 3*p, 0 = -5*p + 5. Let f be (2 - (h - -3)) + 12. Solve -f = -a - 0*s + 2*s, 4*a = s + v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-34 - -39) + -19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -30.021. Let t = 3 + -2.97. Let f = h + t. What is f rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -397, 225, 847, 1469, 2091?\n\"Answer: 622*a - 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56205?\nAnswer: 3, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -23. Let z = -12 + v. Let g(j) = 2*j. Let u be g(1). Solve 2*t = -3*o + 12, 10 = u*o + t + z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 1.2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1347396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 170194 or 170193?\nAnswer: 170194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 9:06 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 1, m: 2, e: 1}. What is prob of sequence mgef?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/3 - 92*r**2\/3 + 1718*r\/3 - 6832\/3 = 0. What is r?\nAnswer: -61, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one fifths of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396032330 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -79, -94, -123, -178, -271, -414, -619?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - -2.97. Let g = 0.053 + 17.947. Let o = 18.1 - g. Which is the second biggest value? (a) o (b) h (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056875333?\nAnswer: 29, 36443977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3291, 7409, 11527, 15645?\nAnswer: 19763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5 + 20*d**4 - 27*d**3 - 62*d**2 + 156*d - 72 = 0. Calculate d.\nAnswer: -2, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -502*u**3 - 597*u**2 wrt u.\nAnswer: -3012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.144372*-0.0188.\nAnswer: 0.0027141936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 17. Let k(t) = -2*t + 12. Let q be k(5). Is g*(-3)\/q - 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -48\/120865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 34*q**2 - 70*q - 9. Let w be h(-33). What is the hundreds digit of (-2)\/(-6) + 4 + w\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, z: 5, h: 6, y: 2, l: 2}. What is prob of sequence zzl?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 2.3\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-17\/2))**(-35) assuming v is positive.\nAnswer: v**(595\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(102)\/(sqrt(6)*-1))**2)*-3 + (-6*sqrt(68) - 4*(0 + sqrt(17))).\nAnswer: -19*sqrt(17) - 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-6 - -3) + 4 + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1868\/(-2335))\/(32\/(-20))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/974 and -51\/15584?\nAnswer: 15584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -30.\nAnswer: -28\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*t, 22*t - 7*t = -2*x + 106268. List the prime factors of x.\nAnswer: 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 - 3*c**3 + 2*c - 2*c**3 - 9*c**2.\nAnswer: -5*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 - 9*k**2 - 7*k + 2. Give o(-4).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*20\/(-15). Differentiate 5 - 5*y - r*y + 7*y + 5*y with respect to y.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 61*i**3 + 2*i**2 + 5*i + 2. Let u be r(-1). Let t = u + 64. Suppose 4 = t*j - 18. Calculate the highest common divisor of 187 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 360, 823, 1484, 2349, 3424?\nAnswer: 4715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1393 * -4.\nAnswer: 0.5572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -286, -287, -294, -313, -350, -411, -502?\n\"Answer: -q**3 + 3*q**2 - 3*q - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 113*w + 4985. What is the tens digit of t(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {x: 1, t: 1, p: 1, v: 1, i: 1, l: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21840 divided by 39?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10027583 (base 10) to base 2.\nAnswer: 100110010000001000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/30 - 121*k**4\/12 - 238*k**3\/3 - 1463*k**2. Let n(t) = 0. What is t?\nAnswer: -119, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 14*j**5\/3 + 2*j**4 - 182*j**3\/3 + 30*j**2 + 24*j = 0.\nAnswer: -4, -3\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s**3 - s**3 + s**3)*((3 - 1 - 1)*(3 + 4 - 5) + 4 - 1 - 2)*(-5 + 2 + 1) to the form i*s**2 + h*s + o*s**3 + r and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - -1*sqrt(432)) + 0 - sqrt(432)) + 2 + (sqrt(432) - (sqrt(432) + 2)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*d = -159*d + 182 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*p - 1292 = 287*p + 223*p + 243*p for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60281, -60284, -60287, -60290?\nAnswer: -60293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39325, -78634, -117939, -157240, -196537?\nAnswer: -235830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -64, -5.\nAnswer: -64, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - -8)*1\/3. Suppose 0 = -n*y - 4, 0 = -4*u + 4*y + 318 + 414. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + -9. Let v = u + 13. Let n(l) = -4*l**3. Let t be n(v). Solve -6*w + 2*w = -t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*b - 22, 2*c + 0*b - 2*b - 16 = 0. Let g(n) = -n**3 + 6*n**2 + 4. Let p be g(c). Let j = 4 - 2. Solve 0*d = -2*d + p*i, -2*d + 2*i = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 34 = 2*a + s, 4*s = a - 47. Calculate the highest common divisor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -1\/15*f**5 + f**2 + 0*f**3 + 0*f + 0 - 1\/24*f**4. Find the second derivative of p(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 251 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 25, 28, 33?\n\"Answer: n**2 - 2*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 3 (b) -0.03 (c) 4 (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*m**2 + 25*f*m*p**3 - 3*f*p**2 - m**2*p**3 - m**2*p**2 - m*p**3 - p wrt p?\nAnswer: 150*f*m - 6*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 6*a - 4*a + 4 + 4.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 17 = -4*t, -4*t - 8 = -4*p + 4. List the prime factors of p + -2 + 273 - (-2 + -2).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u**3 - 10*u**2. Suppose 180 = -1006*r + 1036*r. Let y(o) = o**3 - o**2. What is r*t(a) - 60*y(a)?\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 163195 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -60, -69, -98, -153, -240, -365, -534?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2187\/(-6561))\/((-4)\/(-6)*-3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22093686581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40 - ((7 - 2) + 9 - 8)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4 - 4*f - 4. Suppose -4*q = -2*p + 20, -2*q - 16 = -3*p + 2. Let n(o) = -p + 4 + o. Determine n(k(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*1*sqrt(147)*5 + 2)**2.\nAnswer: 2240*sqrt(3) + 940804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1415434001, -1415434002, -1415434003?\n\"Answer: -m - 1415434000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-40)\/u)\/(u*u*u**28*u)*(u\/(u\/(u*u**(4\/5))))**(2\/105) assuming u is positive.\nAnswer: u**(-12594\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235266185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 50*g**2 - 3*g + 9. Let c be ((-3)\/2*-2)\/((-4)\/28). Let f be 28\/c*(0 - 3). Is m(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.743 weeks to days.\nAnswer: 810.201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*v + 319756 = -73241, -4*x = -2*v - 392982. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(8 - 0))\/((-13)\/39).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*n + 381 = -268, 0 = -x - 4*n + 323. List the prime factors of x.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 322.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3093 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 - -10511\nAnswer: 10511.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145.258 + 489.\nAnswer: 634.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2404723 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = -5*z - 133. Let t = z + 367. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 - -235. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/3*6\/4. Let k(m) = m + 8 - 10 + 2*m - 3. Is k(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 9:21 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o + 10627 + 459. Let d be (-483769)\/(-1001) + (-2)\/7. Is o less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 257 - 517\/2. Let s = -3 - -5. Let g = -2 + 1.5. Sort d, s, g in ascending order.\nAnswer: d, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00060408907 to 6 dps.\nAnswer: -0.000604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/6*37\/((-36556)\/171)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -77616787747029?\nAnswer: -77616787747028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/8 + 19*v**2\/2 - 77*v\/8 = 0 for v.\nAnswer: -77, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45472.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 124*d**2 + 79*d**2 - d**3 - 210*d**2 - 9*d - 33. Determine j(-8).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 964962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3\/8 - 2979*g**2\/8 + 5949*g\/8 - 2973\/8 = 0. What is g?\nAnswer: 1, 991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37016238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 - -169. Which is the closest to -0.1? (a) -4 (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -125, -1053, -3599, -8573, -16785?\n\"Answer: -135*p**3 + p**2 + 14*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 + 888*b**3 + 95976*b**2 + 4437600*b + 72510384.\nAnswer: 3*(b + 38)*(b + 86)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.306 - 4.4. Let i = p - -0.094. Which is smaller: i or 24\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 155, 232, 309, 386?\n\"Answer: 77*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-9 + 2) - (3 + -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 155 + -6?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/21851 or 35?\nAnswer: -1\/21851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + -2.4. Which is the second smallest value? (a) s (b) 2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w = -2*a + 107, 5*w = -5*a - 195. Let n = -34 - w. Solve -2*p + j - 10 = 0, -7*j + 8 = -n*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4140\/90 - 2022\/44?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 2*n)*(113*n - 12*n**2 + 29*n + 9*n**2 + 84*n).\nAnswer: -3*n**3 + 226*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 103555583.\nAnswer: -103555597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6779 - -10386. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 345 - -5387. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ztz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78396 and 4000976?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1. Let m(l) = -2*l**2 - 10. Let k(y) = 2*m(y) - 14*r(y). Let t(w) = -5*w**2 - 7. Let x(j) = 7*k(j) - 6*t(j). Let z(g) = g - 32. What is z(x(n))?\nAnswer: 2*n**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 8 + 0*t - 1\/9*t**2 + 1\/27*t**3. Factor x(c).\nAnswer: c*(c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295000 divided by 1475.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -11 + 7. Let q be (l\/(-30))\/(2\/(-12)). Solve q*h**2 - 4\/5*h + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 5*s**3\/3 - 12*s**2 - 2*s + 31. Let n be d(5). Solve -15 = n*g + 5*v, -4*v = -5*g + g + 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = -23. Suppose 0 = 7*x - q - 9. Solve x*m - 6*m = -4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(7)*-1 - (-4 + sqrt(28)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-125)\/625 + -2 + 16786\/7540 and -87\/16.\nAnswer: 30160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**6*n))**(2\/19) assuming n is positive.\nAnswer: n**(-12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -314184 by -152.\nAnswer: 2067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013068 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/57)*t))**(2\/5))**15 assuming t is positive.\nAnswer: t**(4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.568683939 to three dps.\nAnswer: -0.569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7011995 - 2?\nAnswer: -12.7011995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 37*t**2 + 40*t + 79. Let z be y(-38). Suppose -z*q + 378 = -1341. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and -22.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 2*b - 1. Let h(k) = 26*k**2 - 4*k + 3. Calculate -h(y) - 3*q(y).\nAnswer: -23*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71098?\nAnswer: 2, 19, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3969)*-2)\/((sqrt(343) + (sqrt(343)*-2 - sqrt(343) - sqrt(343)) + sqrt(343) + sqrt(343))*2 - sqrt(343)).\nAnswer: 12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 + 176. Let y = l - -67. Let c = -20 - y. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 16. What is the nearest to -0.2 in 3, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -21*c + 9. Give j(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-15) + (-10)\/(-3). Suppose -s*k - 2*o - 7 = -4*k, -k = -3*o - 7. Suppose -77 - 23 = -4*v. Solve -2*m = -k*m - v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/1420174 and -28\/48051.\nAnswer: 12781566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*1\/(-4) + 2. Suppose q - 51388 = -4*j + 224607, a*q = -15. What is j rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 3, 2.\nAnswer: 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 32 = -z - 4*k + 75, k + 33 = 5*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**6\/16 + 3*u**5\/10 + 218. Factor w(b).\nAnswer: -3*b**4*(b - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 - 0) + (-1 - ((-2 - -3) + (139 - 127)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0*n**2 - 2*n**2 - 9*n - 24 + 23. Let g be 1372\/245 - 2*2\/(-10). Let c(q) = 2*q**2 + 10*q + 1. Calculate g*x(m) + 5*c(m).\nAnswer: -2*m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*z + 336*z - 138*z to v + o*z and give o.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w. Calculate the remainder when 11\/(w + (-2)\/(-2)) is divided by (-57)\/(-9) + 1\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Suppose 2*q - 39 = -l. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*(g**0*g)\/g*g))\/g*g*g\/(((g\/(g*g**(3\/2)))\/g)\/g)*(g**(1\/4))**(-10) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m = -4*f - 8, 3*f - 2*m = 19. Let p be -2 + (2 - (-47)\/(-2)). Let u = p + 24. Which is the second smallest value? (a) u (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 35*u**3 - 5*u**2 - 16*u. Let m(y) = 36*y**3 - 6*y**2 - 15*y. Let p(a) = -5*m(a) + 6*q(a). What is the second derivative of p(l) wrt l?\nAnswer: 180*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220.22 meters to kilometers.\nAnswer: 1.22022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.346749 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 + 213. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m - 4. Let b be j(3). Suppose 0 = -b*s - 2, -2*a - s = 2*a + 9. Let n(i) = -i**3 + 2*i**2 + 2*i - 2. Let g(l) = l**2 + l. What is a*g(k) + n(k)?\nAnswer: -k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-2)\/3)\/(10\/(-120)). Solve -5*j - p = -4*c, c + j + 12 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**27*i))\/i*i)\/(((i**(-10\/7)*i)\/i)\/i*i) assuming i is positive.\nAnswer: i**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -2*v**3 - v**2\/2 + 3*v. Let a be u(-6). Suppose -4*o + 931 = a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + ((sqrt(1088) - (sqrt(1088) + 0)) + sqrt(1088))**2.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 1 - -2) + -1. Suppose -4*y + 12 = -2*q, 2*q + 33 = -r*q - 3*y. Is -1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (308\/(-209))\/(98\/(-931))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3628971914?\nAnswer: 2, 37, 127, 386143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 19*r + 12 = 0. Suppose -r*d - d + 48 = -s, -d + 18 = -3*s. Suppose 4*f - d = f. Is 4 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100833 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 609 - 606. What is the second biggest value in -3\/8, a, 4, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -25*u - 26. Let t be a(-5). Calculate the highest common divisor of t and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228, 57, -69 in decreasing order.\nAnswer: 57, -69, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {u: 1, t: 1, k: 2, c: 1, q: 2, x: 7}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, -6, -18 in increasing order.\nAnswer: -18, -6, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*c + 12. Suppose c*o + 2*m - 423 = -109, -2*o + 2*m + 154 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4065174cm to nanometers.\nAnswer: 4065174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, h: 4, u: 1, v: 2}. Give prob of sequence uvhh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-7 + 6 + (-3 - -9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(180)) - sqrt(180)*1*1)**2 + -5*(-4 + ((-1*sqrt(5))**2 - sqrt(5)) + sqrt(5) + ((sqrt(405)*2 + sqrt(405))**2 - sqrt(405)))*3.\nAnswer: -54494 + 183*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*3986694.\nAnswer: -75747186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.5 + -24. Let i = -2.5 + t. Let c = -19 - -22. What is the smallest value in i, 1\/2, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0414 times 3\nAnswer: 0.1242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let n be 0 + 4 + -2 + 9\/3. Solve -q - p*q - n*c = -18, -q - 4*c = -13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3 + (2 - 6 + 2)*(-3 + 0 + 0))*(-a + 3*a - a + (7 - 2 - 3)*(-1 + 1 - 2*a) - 4*a - 6*a - a + 3*a + 2 - 2) to the form x*a + h and give x.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:02 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 500\/17007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(159\/212). Is 10\/17 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (278\/(-3))\/(10\/(-15)). Suppose -3*f - a = -0*f - 83, -5*f - a + c = 0. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*z - 7824. Let s = 2211 + z. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 7889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1586 - 2?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 23.7, 857, 3.\nAnswer: 1\/2, 3, 23.7, 857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -21. Suppose -117 = -n*s + 33. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*f = 136 + 90 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. What is the smallest common multiple of k and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26604 + 27728. Calculate the lowest common multiple of 8 and k.\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 13*g**2 + 23. Let k(r) = -6*r**2 - 11. Give -9*k(h) - 4*s(h).\nAnswer: 2*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/6 + (-579)\/144 and (-9)\/(-12) + 452\/(-64)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9712935 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36\/35 + -10\/7. What is the closest to -6 in b, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 19.7. Let p = -5\/61 - -502\/915. Let y = -4\/5 + p. What is the closest to 2\/7 in -4, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - (-10)\/4*(-24)\/(-20). Let p(d) = 4*d**2 + 49*d + 45. Let n(x) = -10*x**2 - 122*x - 112. Let u(k) = a*p(k) + 5*n(k). Find b, given that u(b) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4850 + 4850 + 154*x**2 to s*x + y + i*x**2 and give i.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 + 1104. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000942 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/5 (b) 5 (c) 139 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-394*g**2 + 27*g**3 + 394*g**2)*(2*g - 2*g + g**2 + g**2 - 3*g**2 + g**2 + (-g - 4*g + 3*g)*(g - g + 2*g) + 2*g**2 - 2*g + 2*g).\nAnswer: -54*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5 - 3 = 2*l, -3*l + 4*b - 14 = 0. Let y = 389 + -6615\/17. What is the nearest to 1 in y, l, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2))*1 + 3.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -195750725 divided by 5?\nAnswer: -39150145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1446.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from hkhxkkhxhkwwmk?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {s: 2, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 346571388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032282114 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10502051 (base 6) to base 7\nAnswer: 2466562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12*b)**(-1\/11)*b**(-1\/12)*b\/b**(-1\/22) assuming b is positive.\nAnswer: b**(-29\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301298*q**2 + 602601*q**2 + 117*q**3 - 228*q + 228*q - 301303*q**2.\nAnswer: 117*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 1)\/(2\/(-547)). Suppose 0 = -5*x - n + i, 0 = 5*x - 3*n - 250 - 289. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144555872?\nAnswer: 2, 1399, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -22. Is o\/(-6)*5 + 907 + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-43)\/3 + (-13)\/(-39). Let a(l) = -l**3 - 6*l**2 + 10*l + 15. Let x be a(-7). Is x*(4 + y) + -3 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + v - 1. Let n(o) = 7*o**3 - 3*o + 5. Suppose -5*i = -15*i + 10. Determine i*n(q) + 5*l(q).\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/2184 and -149\/701064?\nAnswer: 701064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119119661 = -474*f - 7865699. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -19.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 20. Let q be f(7). Let x be ((-432)\/90)\/((-2)\/(-20)). Is x greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -20*((-24)\/15 - -1). Suppose 0 = -r*g + 13*g + 19. Suppose 0 = -6*c + 10*c + 72. Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 792 or -19\/9?\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27708598?\nAnswer: 2, 43, 322193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -925, 1, -5, 2 in descending order.\nAnswer: 2, 1, -5, -925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*5\/(-1)*(-47)\/(-235).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 335730091 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*o + 1. Let w(q) = q - 3. Let t(p) = 3*p - 5. Let u(a) = o*t(a) + 5*w(a). Determine u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 100*b**3 + 2704*b**3 - 64*b**3 to y*b + x + g*b**2 + q*b**3 and give q.\nAnswer: 2540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -352450 divided by -53?\nAnswer: 6650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11118 - 11118 + v**2 - 62*v**3.\nAnswer: -62*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -122, -121, -120, -119, -118?\n\"Answer: u - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035652826 to five decimal places.\nAnswer: -0.00357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -i - 2 + 1, c = -4*i + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 66, 107, 166, 249, 362, 511, 702?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10631 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24444 - 1.75556. What is the closest to -0.1 in 2\/13, 1\/45, d, 7?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*b + 4972 - 572 = 0, 4*b + 6586 = 3*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(1\/7)*o)\/o)\/o**(-2\/27))**2)**35 assuming o is positive.\nAnswer: o**(410\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -n + 45. Suppose 46 = n*o + 21. Suppose 1 = -u - j, -3*j = u + o - 2. Solve -p + 3 = -u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2712 in -2\/1805, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1346*f - 7367 - 13596 = -8007 + 13964 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09506 - 0.0965738. What is v rounded to 5 decimal places?\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -4*w - 672*q + 1332*q - 664*q - 36, w + 5*q + 3 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*d + 545 = 0, -29*f + 4*d = -25*f - 1072. Let z(v) = 146*v - f*v + 135*v + 7. Let k(r) = 17*r + 8. What is 5*k(j) - 6*z(j)?\nAnswer: -11*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 3*s**2 + 2*s - 4. Let n be d(1). Is (-11)\/(33\/(-2))*6159\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85155 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -5*c**3\/6 + 11*c. Let h(n) = -8*n. Calculate z(h(v)).\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f + 38*f = 116*f - 7252 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 373, 24, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622*d - 619*d = -8 + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**4 + 6417210*b**2 - 2834820*b?\nAnswer: -96*b**2 + 12834420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m - 7. Let l(q) = 3*q + 5. Let p(d) = 2 + 1031*d - 516*d - 514*d. Let s(j) = l(j) - 2*p(j). What is -i(b) - 3*s(b)?\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/30 + 11*w**5\/15 - 10*w**4 - 11*w**2 + 100*w. Factor k(o).\nAnswer: 4*o*(o - 4)*(o + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -3, 2, 4820846?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4745*a = 4733*a - 228 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-31 + 31)\/(1 - 2). Solve m = 9*p - 16*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400802800 divided by -1.\nAnswer: 400802800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 6*x + 3*x. Let s = 0.06 - 2.06. Let b = 4 + s. What is the second biggest value in -4, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -38. Is -4\/59 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 13. Let c be 3\/2 - 20\/15. Let s = -1399 - -1391. What is the smallest value in c, -2\/5, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 14*s**2 + 12*s + 14. Let m be o(13). Suppose 2*g - 30 = 4*c, -2 = -g + m. Let y(z) = -z + 1. What is y(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -1178?\nAnswer: 117d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*h = -219*h + 1455 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20678.\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23672670 and 256785.\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/45? (a) 0.3 (b) -0.5 (c) 6893 (d) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41233 (base 5) to base 13\nAnswer: 12c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*s + 658*s + 17625*s**2 - 349*s - 17624*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1 - 0 - 2)*18. Let w be (-43)\/3 - -2*(-3)\/o. Let v be (w\/(-6))\/(0 + (-3)\/189). What is v rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8\/49 (b) 7709 (c) -1 (d) 0 (e) 16 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(-6)\/(l**(-1\/4))**(-3\/19) assuming l is positive.\nAnswer: l**(301\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352822773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 y when four letters picked without replacement from rrryremzeryy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16.5. Round y to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1790 and 40275?\nAnswer: 80550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 235 and 31.\nAnswer: 7285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7212 is divided by 850?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153629*i**5 + 10*i + 4901.\nAnswer: 3072580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/22*(-10 + 28).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14018155?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 170*s**2 + 24. Calculate the least common multiple of v(85) and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -39 - (-5 + 2 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -33.9999974. What is d rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42698, -42699, -42700?\nAnswer: -42701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6\/11)*r*r*r**(-7\/3))\/(r\/r**(4\/9)*r*(r\/r**(5\/6))\/r) assuming r is positive.\nAnswer: r**(-119\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37614346*b**5 + 314539501*b wrt b?\nAnswer: 752286920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1234?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/175 and -13\/300?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 2*g**3 + 3*g - g**3 + 12 to the form l*g**3 + w + k*g + i*g**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + sqrt(117) - (sqrt(130)\/(-1*sqrt(10)) + -4))**2*-3.\nAnswer: -1131 - 312*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/5)\/((-10)\/1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) - ((-28)\/(-70))\/(112\/(-110)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2 + 3. Is 129 + 4\/(-1 - z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6783 - 8734 = -1263*p + 17751 + 20714 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 22*a - 47. Let h be m(6). Let i = h - 86. What is the closest to i in 4, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64928 is divided by 511?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/189508 and -28\/657.\nAnswer: 1705572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*d - 630, 5*u - 20 - 486 = -4*d. Suppose -d - 111 = -5*k. Let n = -33 + k. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -11, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 372*m**2 + 5467*m - 1692. What is r(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 5*f**4\/4 - 2*f**2 - 3*f + 24. Let l = -2170 - -2169. Let u(r) = r**3 - r - 1. Give l*o(z) + 3*u(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*b = -108, 0 = 9*h - 5*h + 5*b - 156. Calculate the highest common factor of 517 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.35394 rounded to 2 dps?\nAnswer: 12.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**3 + 5700*r**2 - 2166000*r + 274360000 = 0. What is r?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*t + 10. Let u(g) = -6*g**2 + 3*g + 2. Let p be u(t). Let k = p - -188. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11340*n**3 + 79*n + 45?\nAnswer: 68040*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 31*h + 1. Let l be d(-4). Let v = -83 - l. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303505577?\nAnswer: 303505577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4))\/(q\/(q*q*q**16)) assuming q is positive.\nAnswer: q**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 4. Let t be 1*6 + (m - 6). Suppose -y = 5*w - 46, -5*w + 7 = -t*y - 33. Solve s + a + 1 = 0, 2*s + s + a = -w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 15*m**2 + 17*m - 43. What is the units digit of i(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhe when three letters picked without replacement from {h: 4, j: 5, o: 2, e: 8}?\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 6 = -5*z. Let r = 11 + -10. Which is the nearest to r? (a) 2\/9 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49, -109, -181, -265?\n\"Answer: -6*i**2 - 42*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -7) + -2 + -4 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 323b?\nAnswer: -3239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 9*x + 18*x = 6*x + 51, 3*x - 2 = -5*p + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1066 or 7559?\nAnswer: 7559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/3 greater than or equal to 541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 81\/2 + (-1)\/2. Suppose -n = -2*n. Suppose -4*s + 79 - 15 = n. Calculate the highest common divisor of s and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:34 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*o + 29, 5*i + 5*o = 8*i - 87. What is the remainder when i is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34201, -34280, -34383, -34486, -34565, -34596, -34555?\nAnswer: -34418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 90*i - 7. Give m(20).\nAnswer: -1007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*v + 5 + 23 = 0, -4*l + 5*v = -38. Suppose 4*n = 5*o - 10 - 1, -3*n + l = 3*o. Solve -o*f + 0*f = -4*w - 25, w + 7 = f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -19354.\nAnswer: -3870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.841847 + 0.89692. Let c = 11.945 + -12. Let h = c + y. Round h to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = -w + 30, 5*w - 118 = -4*q. Find the common denominator of q and 5\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 7. Let l be z(-2). Let g(v) = -34*v + 23. Let q(b) = 23*b - 15. Let p(w) = l*g(w) - 8*q(w). What is the first derivative of p(t) wrt t?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/((-15)\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 487739170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50167\/2 + -25083. Sort -38, -5, r, 3\/8, -2.\nAnswer: -38, -5, -2, 3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**8)\/y)\/y**(-1)*(y\/y**(2\/9))**39 assuming y is positive.\nAnswer: y**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 0.35. Let k = -707\/18 + 79\/2. Which is the smallest value? (a) o (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(1\/2 - 0\/5). Let w be (3 + 276\/(-94))*4\/j. Is 1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 1:10 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/11*b**2 - 24\/11*b + 0 = 0. What is b?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.7277085 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*r**2 + 6*r**3 + 24*r**2 + 26*r**2 - 3*r**3 wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1 = -z, -5*z = 4*f - z - 4. Suppose 0 = 2*k + 10, d + 2*k = -4*d. Solve f*n + d*s + 12 = -3*n, 0 = 5*n - s + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:20 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -3 - 3) + 3 + -1. Solve -3*m = l + b, -3*l + 4*l = 4*m + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -1\/84*x**4 - 1\/420*x**6 + 1\/105*x**5 + x**2 + 0 + 0*x**3 + 0*x. Let v(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {l: 9, c: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*x, -x + 120750 = -0*y + 5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 4713.\nAnswer: 183807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 2*g. Let b be a(-2). Suppose 2*c + b*c + 204 = 0. Let u = -57 - c. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:18 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 + 2 = 0. Suppose 3*f - 5*c = 31, 0 = 4*f - 4*c - 16 - 12. Let a(q) = -q + 13. Let j be a(9). Solve j*p + w = f*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*p**3 + 4 - 4)*(-5*p + 2*p + 4*p) + 3*p - 3*p + 2*p**4 - p**2 to the form o*p**2 + i + f*p**3 + q*p + b*p**4 and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -71 + 536 + -550.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 139062356*f. Let z(w) = 2*w**2. Give m(z(y)).\nAnswer: 278124712*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312297048*o**5 - 19217*o + 1742 wrt o?\nAnswer: -6245940960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/x**(2\/9))\/x)*x)**26\/((x\/(x**4\/x*x))\/(x**(1\/4)\/x)))**(-5\/6) assuming x is positive.\nAnswer: x**(-10805\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Suppose a = 5*c + 12 - 2. Let r = -11\/2 - -6. What is the closest to r in -0.4, c, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 = -2*z, -4*z = 3*d - 2*z + 37. Let m = d - -32. Is (m\/(-14))\/((-1)\/16) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j - 12. Let y be u(5). Let o be 12\/9*180\/y. Suppose 6 = 2*a, 0 = 5*v - 5*a - 22 - 23. What is the highest common factor of v and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-2 + 2 - -3). Let c be (-1)\/q + ((-16)\/(-14) - 1). Suppose c = -2*i - i + 231. List the prime factors of i.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -212*f + f**2 - 251*f + 5 + 459*f. Let u(i) = 2*i**2 - 7*i + 9. What is 11*m(j) - 6*u(j)?\nAnswer: -j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let p(y) = -5*y - 30. Let u(g) = -p(g) + 4*v(g). Let j be 3\/2*150\/(-45) + (-16 - 0). Calculate the remainder when 33 is divided by u(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idd when three letters picked without replacement from {s: 1, z: 14, d: 2, i: 2, e: 1}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*g - 5*z + 5 = 34*g + 33*g, -4*g = z - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 8*v - 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**7\/168 + b**6\/36 - b**5\/24 - 5*b**4\/12 - 20*b**3\/3 - 27. Let m(n) be the third derivative of k(n). Factor m(j).\nAnswer: 5*(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3594.029ml?\nAnswer: 3.594029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(5016\/(-16))*(25\/(-30))\/(19\/(-171))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3 + c + 5*c + c**2 - 2. Suppose -4*y - i - 8 - 20 = 0, 0 = 3*y - 4*i + 21. List the prime factors of g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169640565 divided by 24155?\nAnswer: -7023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**3\/4 + 578*n**2 + 89243*n\/4 + 5929\/2.\nAnswer: (n + 77)**2*(15*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189317 is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -1274?\nAnswer: 1274.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.53395l to millilitres.\nAnswer: 43533.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 24. Let x be 58 - -5*21\/(-35). Suppose x*q - 84 = 53*q. Calculate the highest common divisor of o and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31440)\/(-66024)*(-5)\/(-10)*28\/(-25).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7 + (-4 - 6) + 2607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 9 + 4006*u**2 - 8 + 1629*u**2 to the form n*u**2 + f + m*u and give n.\nAnswer: 5635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 12*r - 1. Let m be y(-6). Is 57 a factor of (42\/m)\/((-2)\/(-380))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703902?\nAnswer: 2, 29, 46619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-36)\/h*h)\/(h\/h**0*h))\/((h*h**(2\/75)\/h*h)\/h)**(-6) assuming h is positive.\nAnswer: h**(-921\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffe when three letters picked without replacement from fzggffaeozfegfggggfg.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 3, -2, -32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (3*sqrt(187)*-2 - sqrt(187) - sqrt(187)))*6)\/((-2*sqrt(66)*-2)\/sqrt(6)).\nAnswer: -21*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w**5 + 1316*w**4 + 1313*w**3\/4 + 41*w**2\/2 = 0. What is w?\nAnswer: -82, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.2 - -5.2. Suppose -r = 3*r - 20. Suppose -r*n + 12 = -3. Which is the third smallest value? (a) n (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 2*g + 4. Suppose 19*j - 650 = -707. Let v(f) = -f**2 - 3*f - 5. Calculate j*v(y) - 4*m(y).\nAnswer: -y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19331, 19289, 19259, 19247, 19259, 19301?\nAnswer: 19379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from zhzzzzzzzzzz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:38 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*c + 966 - 4494 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 673858771 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (21 - 11 - 41) - 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 5*k**2 - 8*k + 12. Let m = -404 + 410. Let i be h(m). Solve 4*o = -3*b + 2, -2*o - b = -i*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-15)*2\/(-10)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/2*(-6 + 22). Suppose -5*l - 4*k - 186 = 0, 5*k = 4*l + x - 59. Let c = -11 - l. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s. Let c(u) be the second derivative of -u**4\/8 - 4*u**2 + 17*u. Let m(d) be the first derivative of c(d). Calculate m(x(y)).\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44005 divided by 5\nAnswer: -8801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1)*g*g)\/g)**31\/(g**(1\/11)*g**(-8)*g)*g**(2\/7)*g**(4\/5)*g*(g**(-2))**(-19\/4) assuming g is positive.\nAnswer: g**(38111\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 8. Let w = 29 - 105. Let y = w - -71. Determine k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**3 + 6*d + 7. Let m(i) = -4*i**3 + 5*i + 6. Let g = 5 - -2. Let q(h) = g*m(h) - 6*c(h). Find the second derivative of q(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1531 = 4*u + 49*u - 695. Which is the closest to 0? (a) -0.2 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 - k**2 + k**3)*(k + 2*k - 2*k) - 71*k**4 - 59*k**4 + 97*k**4 to s*k**4 + l*k**2 + j + a*k**3 + g*k and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 13*d + 32. Let c be r(-10). Let 1\/2*q + 0 - 1\/2*q**c = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1988 and 47144?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29568.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j + 10 - 10.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**4 + 3*c**3 + 9*c**2 - 11*c + 6. Let r = 63 + -68. Let v(a) = -2*a**4 - 3*a**3 - 9*a**2 + 10*a - 6. Let l(t) = r*d(t) - 4*v(t). Solve l(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 4. Let t be n(2). Calculate the remainder when 33 is divided by 84\/7 - t\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3732341 or -3732344?\nAnswer: -3732341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 861*u - 5507. Determine s(5).\nAnswer: -1202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*u**2 - 37*u**2 - 23*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 + 10 = 0. Solve -d*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, 303, 5, -1 in descending order.\nAnswer: 303, 5, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*y + 49, 65 = 5*w - y + 6*y. Let a be (7 + -11)*(-260)\/w. Round a to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*x**2 + 12*x**2 + 20*x**2 + x + 2*x - 3*x.\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69053\/918 - -2090\/27. Let f = b + -6011\/2244. What is the common denominator of -97\/132 and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -415 - -653. Let u = 347 - b. Let o = u - 108.8. Sort 2, -0.4, 28, o.\nAnswer: -0.4, o, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1543 + 280 = -421*u. What is the nearest to -2\/5 in u, -1\/27, 7?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20111*p + 19985*p - 3402 = 0 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 329 - 326. Suppose f*k - 154 = -4*m + 49, 4*m + k - 201 = 0. Calculate the remainder when 299 is divided by m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-556)\/8*(63\/(-84))\/(-6*(-14)\/(-224)).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/3 + 376*x**3\/9 - 1204*x**2 + 15640*x\/3 - 14450\/9 = 0 for x.\nAnswer: -85, 1\/3, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(6 + (0 - 0 - 5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 2*i. Let r be l(6). Let g be (-44)\/r - (-2)\/(-3). Let o = -3 + 3. Is o at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -58\/16085?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405) + sqrt(405)*-1 + 2 + 1*3*sqrt(40)\/(1*sqrt(8)))**2.\nAnswer: 6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 1216, 3618, 8226, 15760, 26940?\nAnswer: 42486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/30 + x**2. Let i(z) = 3*z. Let y(c) = -c. Let n = 41 + -40. Let l(s) = n*i(s) - 3*y(s). Calculate l(f(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159729832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1616, -2907, -4208, -5525, -6864, -8231?\n\"Answer: -d**3 + d**2 - 1287*d - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 434 and 715046?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1\/3)))**(-1\/36) assuming x is positive.\nAnswer: x**(-1\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 161? (a) -1 (b) -396\/17 (c) 1\/7 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.5322 kilograms in micrograms?\nAnswer: 315532200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5543*u**2. Let b(r) = r. What is x(b(v))?\nAnswer: -5543*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98650? (a) -1\/3 (b) -0.03 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197\/4 or -49?\nAnswer: -197\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -2. Suppose 5*d - 14 = l*d. Solve -2*s - s + m - d = 0, 0 = -5*s - m - 26 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-1) + -6 - -38. What is the units digit of 2\/(-7) - (-290)\/l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + y - 83 = 0, -5*u - 3*y - 24 = -4*u. Let p be 10\/6*u\/(-7). Suppose -p*k = -24 - 576. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 + 3 + 59*s - 2.\nAnswer: 59*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {e: 1, y: 5, w: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17*h**2 - 3*h - 3. Suppose -4*i - 17 + 13 = 0. List the prime factors of c(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-24)*(-4)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**2 - 578700*s - 27907807500 = 0 for s.\nAnswer: -96450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 7:02 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 3. Suppose 5*j + y*b = 182, 69 = 2*j + 3*b - 1. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 458, 461, 466, 473, 482, 493?\n\"Answer: d**2 + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwg when three letters picked without replacement from {a: 7, g: 5, w: 8}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*m - 8*m + 1412 + 1284 = 566 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -100451120 and 892454.\nAnswer: -99558666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 107, 180, 271, 386, 531, 712?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t = -22*t - 17*t + 312 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 6 = -11*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1127 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 44 - (-1 + -5 + 6 - (-54 + 9)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115 + 2214?\nAnswer: 2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 974f (base 16) to base 15\nAnswer: b725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0 - 6*r - 23*r + 2*r**2 + 20. Suppose u - 56 = -3*u. Is n(u) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-28)*21\/(-24)*2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j + 4*h - 176 = 0, 5*j - 228 = 3*h. Let n be (-84)\/49*17850\/(-340). What is the greatest common divisor of j and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-15 - -10)) + -26 + -6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/60 - 7*d**4\/24 - 4*d**3\/3 - 2*d**2. Let o be j(8). Solve -5*p - 2*c - 26 = o, -2*p - 3*c - 1 = 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -151, 1\/3 in ascending order.\nAnswer: -151, -2\/13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -5d662?\nAnswer: -5d65d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-50)*100\/75. What is the nearest to 0.1 in -1\/5, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5 + 21*r**4 + 39*r**3 + 3*r**2 - 42*r - 24 = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + 16. Suppose 0 = 5*z + 3*i - 195 - 260, -z - 3*i = -f. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 = -1. Suppose 11 = 5*q + 4*h + v, -2*q = 4*h - 4. Suppose q*s - 70 = 36. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/4 - 40*o = 0.\nAnswer: -160, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2, -m - 3480 - 117 = -5*k. Suppose k = 5*n - 6. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 720, 1378, 2052, 2748, 3472, 4230, 5028?\nAnswer: 5872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 + 2*z**2 + 3*z + 4. Let c be (0 - -1)*(42\/7)\/(-6). Let j be 2*(-3 + c + 3). What is the units digit of a(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from dhdhddddddhhdd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - j**2 + 2*j**2 + 146 - 146 - 5*j**2 + (-j**2 + 0*j**2 - 2*j**2)*(4 - 6 - 2) - 2*j**2 + 3*j**2 - 3*j**2 to d + q*j + l*j**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 15*b**3 - 6*b**2 - 2*b + 6. Let z(q) = q**3 - q**2 + 1. Let c(x) = -d(x) + 6*z(x). Find the second derivative of c(r) wrt r.\nAnswer: -54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 95. What is the tens digit of (c + 15\/5)*(-118)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 424\/5, -6, 21, 1\/6, 5 in decreasing order.\nAnswer: 424\/5, 21, 5, 1\/6, -0.01, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5103514?\nAnswer: 2, 13, 19, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.3+3.480462\nAnswer: 2.180462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55*(1804\/2662)\/(-41)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29274174841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -14) + (1 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (258\/(-10))\/(101\/(-1515))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(1 + 2*t - 3*t - 2).\nAnswer: 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s = 54. Suppose 4*f + 1 = -3*p, -2*f - 5*p - 7 = 2*f. Suppose f*c + 1 - s = -3*j, 4*j - 58 = 2*c. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25919 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 862539012 divided by 9?\nAnswer: 95837668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 155137, 155138, 155139, 155140?\n\"Answer: f + 155136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*(sqrt(1008) - sqrt(1008)*-1 - sqrt(1008)))\/(sqrt(4) + (sqrt(8) - (sqrt(8) + sqrt(32)\/sqrt(4)))\/sqrt(2) - sqrt(20)\/(sqrt(15)\/sqrt(3))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*o**3 - 12*o**3 + 2*o + o - 6*o - 22*o**2.\nAnswer: 29*o**3 - 22*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - -3*(sqrt(132) + 1*sqrt(132))) + sqrt(132))\/(sqrt(144)\/sqrt(3)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -9\/10, 0.13, 2, -5\/9, 0.2?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1460 and 1670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**5 - 21*p**4 + 4*p**3 + 219*p**2 + 4*p - 3. Let f(u) = -u**5 - u**3 - u + 1. Let l(y) = -4*f(y) - i(y). Find the third derivative of l(d) wrt d.\nAnswer: -240*d**2 + 504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-6)\/(-8)))\/(76\/38)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1681*y - 4. Let q be u(2). Let m be (-5)\/(15\/q) + 3. Calculate the common denominator of 3 + 0 + m\/(-108) and -55\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -1698\/67?\nAnswer: -1698\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - 76a?\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11341509.\nAnswer: 3, 3780503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/15*11045\/(-163466).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/9933265 and 16\/1670195.\nAnswer: 188732035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in 5\/2, 1\/2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (240\/90)\/((-2)\/3). Suppose -5*i + 5*g + 5 = 0, i - 4*g = -g + 3. Suppose 5*s + i*s + 140 = 0. Put z, 5, s in increasing order.\nAnswer: s, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 328*m - 1296. What is r(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 152037*x**2. Let v(a) = -27*a. Determine n(v(g)).\nAnswer: 110834973*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -104*a**3*v**3 - 2*a**3*v**2 + 3*a**3 - 68*a**2 wrt v?\nAnswer: -312*a**3*v**2 - 4*a**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556670824?\nAnswer: 2, 69583853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 3*b**2. What is c(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286183904 a multiple of 1243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from zsszzszzmmzmszzz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1. Let q(o) = o**3 + 4*o**2 - 3*o + 7. Let g(n) = 4*i(n) - q(n). Calculate g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 9*t**2 - t. What is the remainder when i(5) is divided by 15\/5*(-14)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millisecond in microseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65380224*h**2 - 689581909*h.\nAnswer: 130760448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. What is the units digit of (h - 3)\/(-1) + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2505248058.\nAnswer: 2, 3, 157, 1399, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, -3, -620\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20127888 divided by -114363.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3a329b4 (base 12) to base 10\nAnswer: 11513368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -287040 divided by -320?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)\/y)\/y*y)\/(y\/(y*y**(-2))*y)*y\/(y*y**(2\/11))*y**1)**(-16\/9) assuming y is positive.\nAnswer: y**(736\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*l - 4 = -0*l, 5*l = -3*q + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, b: 4, l: 3}. Give prob of picking 3 l and 1 j.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162547*v**3 + 325041*v**3 - 162548*v**3.\nAnswer: -54*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-80)\/(-1456)*364\/28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + (1 - (11 - 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6807313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 863 - 859. Put -7, m, -0.12, -3 in decreasing order.\nAnswer: m, -0.12, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29970 and 2775.\nAnswer: 149850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8862\/(-27)*(-117)\/33. Suppose 1163 = c + d, 8*c - 3*c - 5*d - 5825 = 0. Let m = j - c. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, a: 15}. What is prob of picking 2 a and 1 f?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -909, -911, -923, -951, -1001, -1079?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13018804 and 408.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19471 - -5?\nAnswer: 19476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -53, 0.4, -1\/6, 3, -3\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3536*c + 347001 + 2023*c**2 + 434455 - 2019*c**2.\nAnswer: 4*(c + 442)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*a - 6 = 0, 4 = -0*j - j - a. Let f be (-12)\/(-2) + j + 2. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - (20 + 9)) + (9\/(-2) - 0).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*n - 34*n - 74*n + (0*n + 3*n - 4*n)*(3 + 1 - 2) as z*n + g and give z.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11954782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 551068560 a multiple of 1590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -23*j**5\/5 + j**2\/2 + j + 20. What is the units digit of r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -5*c - 33, 2598*c = 2594*c - 2*j + 7*j - 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 393 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 28. Let q(k) = -134*k**2 - 150*k**2 + 298*k**2. Determine i(q(b)).\nAnswer: -28*b**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -557509.2 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 96*h**2 + 0*h**4 + 0*h + 41\/20*h**5 - 2 - 25*h**3. Find the first derivative of c(a) wrt a.\nAnswer: 246*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 52. Suppose a - 5*f - 7 = 0, 2*a + 0 = f + q. Let p = 36 + -24. Calculate the highest common factor of p and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81489805 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 24286.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 63039618 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149308067\/4440 + 269025\/8. Let x = g - -2\/111. Which is the smallest value? (a) -5 (b) x (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1) + (-12)\/6. Suppose -2*t - 2*t = k. Let g(c) = 2*c + c**3 + 0*c + t*c**2 - 4*c**2 - 2. Calculate g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 10 - 2*m - 1 - 17*m**2. Let p be (-542)\/5*(196\/14 + -9). Let v = p - -544. Let c(d) = 4*d**2 + d - 2. Calculate v*h(k) + 9*c(k).\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 6311*w**4\/2 + 185*w**3\/3 + w**2 + 2*w + 8831. What is the third derivative of k(p) wrt p?\nAnswer: 75732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 32*j**2 - 27*j - 147. What is r(31)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 - 7 = 0. Suppose -m + 1 - 10 = 5*p, 5*p - k*m = -15. Put 3, p, -3 in ascending order.\nAnswer: -3, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-44664)\/16)\/((-3)\/(-4)). Let b be (t\/8)\/((-22)\/8). Let m = -169 + b. Is m at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {z: 1, h: 2, x: 4, j: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -76738, -306958, -690656, -1227832?\n\"Answer: -76739*j**2 - 3*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (3 - 5 - (8 - 14))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 154, 211, 284, 379, 502?\n\"Answer: o**3 + 2*o**2 + 44*o + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 3, 1, 1\/6, 128?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/35 + 0 + (-558)\/21. Let v = 2 + -6. Which is the second biggest value? (a) -2 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 371*g - 445. Calculate y(184).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98565.31342 - -98564. What is n rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*h**2 - 2488 + 5177 - 2438 to c*h + z + w*h**2 and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 4) to base 12\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9980673 to the power of 1\/2, to the nearest integer?\nAnswer: 3159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*y + 2*i - 14, 0 = -5*y + 2*i + 5. Suppose c - 4 = 0, -21*c - 892 = -y*q - 16*c. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 106 - 105. Let u be (-7 + -5)*(b - 18\/8). Let d = u - 42. Let s(h) = h**3 + 3*h**2 + 2*h + 2. Calculate s(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63146?\nAnswer: 2, 31573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d**2 + d + 1. Let b(r) = 3*r**3 + 2*r**2 - 4*r + 2. Let z(q) = -b(q) - 2*o(q). Determine z(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10580897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 149877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 10:59 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**3\/6 + 106*s + 1. Let r(f) = 9*f + 3*f + 3*f. Determine -33*i(m) + 2*r(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*c - 2*c - 4*c + (0*c + 3*c - 2*c)*(2 - 3 + 2) + (3 + 2*c - 3)*(2 + 1 - 4) + 0 + 0 - c in the form t + r*c and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1655*s**2 + 1540*s + 115 = 0 for s.\nAnswer: -23\/331, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2, -5*n - 2*g - 3885 = -1059. Let u = -563 - n. Which is the fourth smallest value? (a) -1 (b) u (c) 2 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26 and 0.484.\nAnswer: 26.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570504.8419 rounded to the nearest one hundred?\nAnswer: 570500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/321108 and -133\/30.\nAnswer: 1605540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20068123 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 32 - 22 - ((2 - 3) + -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4631220 + -314325774\nAnswer: -318956994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/65 - 6\/13. Let z = 4.6 - 5. Which is the nearest to y? (a) 2\/9 (b) z (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 2. Let o = -2 + 0. Let q be n(o). Differentiate 2*r**2 + r**4 - 2*r**q - 1 wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-2029.\nAnswer: 202.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 25 + -25 - ((5 - 4 - 0) + -2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t + 29*t + 30*t - 69*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -539481\/35 greater than -15414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 10*s + 19. Let x be k(11). Let u(o) = o**2 - 6*o + 4. Let z be u(x). Solve 5*v - v - 12 = -4*y, -5*y + z = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*r + 3 = 0, -5*o - 222*r = -223*r + 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:53 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252217940 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24926, -100229, -225728, -401423, -627314, -903401?\n\"Answer: -25098*h**2 - 9*h + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 15 (c) 1\/5 (d) -1\/200 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*0.638.\nAnswer: 7.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.97743 millilitres in litres?\nAnswer: 0.06697743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/4 - o**3 - o**2\/2 - 27*o + 31. Does 9 divide y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 75. Which is the closest to l? (a) -1\/7 (b) 0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 4*u**2 + 54*u - 231. Let x be m(7). Which is smaller: x or -14\/437?\nAnswer: -14\/437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -147*k + 1537. Calculate m(15).\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 1\/3, -0.0418.\nAnswer: -0.0418, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-12)*(-36)\/120.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642 is divided by 1427.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.28 and -1029.\nAnswer: -5433.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 0*q**3 + 0 - 1\/8*q**5 - 3\/8*q**4 + 1\/2*q**2.\nAnswer: -q**2*(q - 1)*(q + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 + -114.68. Let o = y - -5.68. Which is the fourth smallest value? (a) -5\/3 (b) o (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -194, -435, -762, -1169?\n\"Answer: w**3 - 52*w**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*t = 224. What is the greatest common divisor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4575 and 5175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-92.\nAnswer: -1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-9)*(-5768)\/265328?\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/100)\/(-1))\/(6\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 1 - 5 + 14106*i + 0 - 14110*i. Let g(z) = -z**2 - 3*z - 3. Suppose 0 = -2*s + 3*p - 6, -5*s + 4*p + 4 = 5. Determine s*g(b) - 2*u(b).\nAnswer: -b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8528 + 204 = -148*k for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33256165 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 28105\/880 - 0*1\/(-2)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 7*o**3 - 269*o**2\/2 - o - 48. What is the first derivative of g(l) wrt l?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 96?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*c**2 + 55*c**4 + 2*c - 4*c**3 - 51*c**4 + 0*c**3 + 2*c**3 to the form z*c**4 + f + d*c**2 + q*c**3 + g*c and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3\/61, -4\/9 in increasing order.\nAnswer: -4\/9, 3\/61, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 2*3\/3. Suppose 4*j = s*a - 4, 3*a + 2*a = -2*j + 19. Suppose 5*k - 95 = 3*x, -j*x + 3 + 7 = 0. Calculate the lowest common multiple of 16 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12b (base 13) to base 12.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + 24*(-28)\/336.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -m + 8*b, b + 530 = 4*m + 524 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -251, -244, -235?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 4, 5, -0.21, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62642*q**4 - 3*q**2 - 875*q - 3 wrt q?\nAnswer: 1503408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150*u**6 + u**4*v + 269*u**3*v + 3*u**2*v + 2*u**2 - 224*u*v - 2*u - 3 wrt u?\nAnswer: -18000*u**3 + 24*u*v + 1614*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + t)*(-22 + 0*t + 3*t + 25).\nAnswer: 3*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 483?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2952\/840 + -23 + 2934\/126.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.65960748 to 1 decimal place.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 50*57077\nAnswer: 2853850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/42776 and -31\/2.\nAnswer: 42776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 843541976 to the power of 1\/2, to the nearest integer?\nAnswer: 29044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (354\/472)\/((-3)\/(-12) + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 573\/(-6) - 1\/(-2). Let a be 3\/9 + l\/(-3). Let w be 13 - (-2 + (-3 - -2)). Calculate the highest common divisor of a and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58539 by 6.\nAnswer: -19513\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-97)\/(-364) - 2\/8. Let j = i - 1847\/1638. Is -1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-5 - (4 - 3))) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 28. Let p = 25285 + -25298. Calculate r(p).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 16*s**2 + 34*s - 53. Determine p(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/12*((-7)\/1 + (-1755)\/(-216)). Let 0 + 3\/2*k**5 - q*k**3 + 0*k + 3\/2*k**4 - 3\/2*k**2 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, 0.1 in descending order.\nAnswer: 21, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 18253454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 20*c + j - 56226 = 0, 56242 = -5*c - 3*j. Let t = 4776 + c. What is t rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 0.5, 14, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*s = -s - 11, 5*b + s = 16. Suppose -b*n + 12 = n. Suppose n*i = -2*i + 115. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 4*o - 24*o**3 - 2.\nAnswer: -24*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 31*m. Let p(g) = g - 1. Determine p(w(x)).\nAnswer: 31*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*n + 24 = 0. Let l(i) be the first derivative of -5333*i**2\/2 - 2*i - 7. Let w be l(n). Round w to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2060, -4121, -6182, -8243, -10304, -12365?\nAnswer: -14426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -43. Let g(y) = -2*y**3 - 14*y**2 + 6. Let q be g(b). Let x(u) = u**3 - 5*u**2 - 5*u - 8. Calculate x(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1171, 1167, 1161, 1153, 1143?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, k: 2, p: 4, u: 2, l: 1}. What is prob of picking 1 l, 1 p, and 1 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - g**3 + 4)*(g - g**2 - g) - g**4 + 17*g**5 - 16*g**5 + 8*g**4 - 2.\nAnswer: 2*g**5 + 7*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003272133 to 7 decimal places.\nAnswer: 0.0003272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 4. Let r be z(-3). Let y = 19 + r. Suppose 0 = y*u + j - 6*j - 90, 2*j - 48 = -4*u. Calculate the smallest common multiple of u and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5934 + 3090967753?\nAnswer: 3090967756.5934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + -3. Let k = 0.1156 + 17.4844. Let x = u + k. Which is the third smallest value? (a) 2 (b) x (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 4360*f**2 + 26106*f - 39132.\nAnswer: 2*(f - 2174)*(f - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 743251044?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22.2 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -157687 take away -2?\nAnswer: -157685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/91 or -148621?\nAnswer: -148621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a + 9. Suppose 2*l = 4*u + 16, u = 3*l - 5*l + 11. Let z(k) = -3*k + 4. Calculate l*x(s) - 13*z(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, u: 8, q: 2, l: 1}. What is prob of picking 1 l and 1 u?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2 - 2*s - 4. Let n be (18 - -2)\/(-5) + 11 + -2. Let w(m) = -m**2 - 1. Calculate n*w(i) - v(i).\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hndqnhddhdhtttddt. What is prob of sequence nqd?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Suppose -5*a + 100 = -60. Solve 0 = h*x - a + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 42 = 2*n. Let p(a) = -5*a + 2. Let m be p(n). Suppose 0 = 2*d - 3*w + 4, -2*d - 4*w = 2*d - m. Sort -4, d, 1 in descending order.\nAnswer: d, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-3) - -1)\/((-64)\/96). Let r = 5 + -5. Solve 6 = -p - t*h, 4 = p - 2*h - r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140886957*b**2*z**2 - 2*b**2*z + b**2 - 2*b*z - 261670*b + 108*z - 2 wrt z?\nAnswer: 281773914*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907010588.\nAnswer: 2, 11, 17, 251, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76839*-7.4.\nAnswer: -568608.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -143 + 2?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*h - 3, h - 2*l + 24 = 25 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -17*f**3 - 3*f**2 + 2*f. Let i(l) = -l**2 + l. Determine -6*i(q) + 2*n(q).\nAnswer: -34*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5553 (base 13) in base 10?\nAnswer: 11898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1025 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 1, 758, 11, 27 in decreasing order.\nAnswer: 758, 27, 11, 1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53\/3 + 35\/2. Sort 4, h, 3, 0.02 in descending order.\nAnswer: 4, 3, 0.02, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**2 - w**3 + 0*w**3 - 32*w**2 in the form o*w**3 + s + g*w**2 + f*w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e4 - 48907?\nAnswer: -48613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, l: 10}. Give prob of sequence ool.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 2:35 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:02 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 2*m + 3. Let f be n(3). Suppose f = q + 3*q. Suppose -t + q*t = 5*d - 46, -d + 2*t = -7. What is the greatest common factor of 36 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 1 t when three letters picked without replacement from gffzzfjrfzfgt.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 12*w**2 - 8*w + 63. Give h(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*n = -22, -4*n - 7 = z + 10. Let d be -2*(1\/(-1) + z). What is the second derivative of 0*f**d - 3*f**4 + 5*f - f**4 - f**4 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32121, -29903, -23875, -12129, 7243, 36149, 76497?\n\"Answer: 318*x**3 - 3*x**2 + x - 32437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 1668 - 492. Let d be (2\/6)\/((-2)\/s). Let u = d - 32. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 99 = -9. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -19\/8*l**4 + 0 + l - 4*l**2 - 13\/2*l**3. What is the derivative of j(v) wrt v?\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 63\/50, -2\/9, -2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -a + 6*a - 5*l, -a + 5 = l. Let m be (a\/(-3))\/(-4)*6. Suppose 0 = m*y + 7*y - 72. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17\/(340\/8) + 528\/5?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 220846546?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from kdkmmmmrmmfmdukmmr.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -27*w**3\/7 - 32544*w**2\/7 - 43356*w\/7 - 2064 = 0.\nAnswer: -1204, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -19.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2562519 tonnes in grams?\nAnswer: 256251.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -937\/11. Let v be 33\/(-18) + 7 + -5. Which is the smallest value? (a) -3\/7 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) + sqrt(77) + sqrt(77)*3) - sqrt(77))\/((sqrt(11) + sqrt(99)\/sqrt(9))*-3).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -552 > -541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -h - 5. Suppose 12 = -2*c + 5*g, -2*c - 4*g + g = h. Let m = 14 + c. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p - 4*p - 2*p. Let i(w) = -w**3 - w**2 + 2*w. Give i(s) + y(s).\nAnswer: -s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61953 and 2.4.\nAnswer: -148687.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000281272433 to 7 dps.\nAnswer: -0.0000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/2, -65, 512?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 + 2*z**2 - 19*z + 59. Is c(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*y**5 + 34*y**3 + y**2 + 17292*y wrt y.\nAnswer: 100*y**3 + 204*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 - -2. Suppose -31 = -3*d + 338. Let i = 245\/2 - d. Which is the nearest to i? (a) y (b) -1\/7 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -25)*1\/(-1). Let k(y) = -y + 6*y - y**2 + 3*y - 3*y + 104. Let f be k(-8). Solve -2*u + 3*i - 2 = f, 3*u - i = 7*u - c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881538718.\nAnswer: 2, 53, 1193, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = -10. Suppose 0 = -x*l - 10 - 2. Let p be 10\/(-6)*(l - 0). Which is the third biggest value? (a) 2 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 + 254*f**2 + 1678*f - 333. Determine j(-120).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-43)\/7 + 2 + 2318\/1330\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**2 + 3*y**3 - 5*y**2 - 2 - 13*y**3 to r*y**3 + i*y + j + q*y**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2028*t**3 + 4*t - 4. Let f(d) = -1153933*d**3 + 2277*d - 2277. Determine -4*f(s) + 2277*m(s).\nAnswer: -2024*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13002 and 42?\nAnswer: 91014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, i: 2, g: 1}. Give prob of sequence ai.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -da4c94 + -64?\nAnswer: -da4d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17680331 is divided by 2946714.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -866, -1801, -2786, -3863, -5074, -6461, -8066?\nAnswer: -9931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 + (1 - 1). Suppose 0*x - 4*x - 24 = y. Which is the smallest value? (a) x (b) -2\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 19 + 56*z + 19.\nAnswer: 51*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a + 195. Let d = -30 - a. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 43*s**2 + 42*s - 3573. What is a(45)?\nAnswer: 2367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374, 1365, 4056, 9299, 17946, 30849, 48860?\nAnswer: 72831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -231*c**2 + 5. Let j(m) = -31301*m**2 + 678. Determine 5*j(y) - 678*o(y).\nAnswer: 113*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*v**4 + 2*v**3 - 2*v**4 - v**4 - 6*v**4 + 4*v**2.\nAnswer: -2*v**2*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4571*t**2 - 4565*t wrt t?\nAnswer: -9142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -398 - -719. What are the prime factors of i?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4868958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*z + 3*z. Put -2, z, 1 in increasing order.\nAnswer: -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 22 = 4*z, 5*z - 8*z - 19 = -2*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 314.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/6 + 6*m**3 - 56*m**2 + 503*m + 2. Factor s(k).\nAnswer: -2*(k - 14)*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866428915 to the power of 1\/3, to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*b - 28847 = 45*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 586.3248 - 2264.792. Let q = -1728.467445 - w. Let v = 50 + q. Round v to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p - 1. Let o(d) = d**3 - 28*d**2 - 5*d + 8. What is 6*f(m) + o(m)?\nAnswer: m**3 - 22*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -54, -65, -78, -93?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32168018 is divided by 120?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a**2 + 14*a + 52. Let s be t(-5). Suppose -3*r + 71 = 29. Find the first derivative of -s + 13*h**3 - 4*h**3 + r wrt h.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 + 3*p - 45. Let c be i(5). Calculate the remainder when 135 is divided by 104\/6 + (-15)\/c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1462406 - 1462406 - 3405*s**2.\nAnswer: -3405*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 5) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*k - 21, -3*k - 29 = -2*j - 8*k. Let q be 1026835\/48862 - j\/11. Let o = -1\/6663 - q. Calculate the common denominator of o and -23\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 916\/7 or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.193 + -3.9494. Let z = s - -29. Round z to three decimal places.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1089*i - 281*i - 288*i - 279*i - 275*i.\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*p - 8755 = 2575, -5*m + 28318 = -3*p. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6265 - 3*o**3 + 38*o**2 - 6345 + 33*o**2 - 216*o.\nAnswer: -(o - 20)*(o - 4)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-12))\/((81\/4)\/9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 + 4032*j**4 - 296*j**3 - 482*j**2 + 113*j - 10.\nAnswer: 60*j**2 + 96768*j - 1776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/13 + 614*n\/13 + 215688\/13.\nAnswer: -2*(n - 516)*(n + 209)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - 16. Let m = 55\/2 + s. Which is the third smallest value? (a) 1\/2 (b) m (c) 0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.4 (c) -2 (d) -972 (e) -102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-38)\/4 - 360\/48\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 144*d + 10. Let t = 40 + -36. Let o be l(t). Suppose 5*y - o = -2*n, -79 = -y - 4*n + 49. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/14 (b) -4 (c) -2\/5 (d) 109\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*p + 90*p = -4614. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1243 and 179557.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1 + 4 + 3*k - 4. Let g(c) = -4*c - 1. Suppose 0 = 2*u + 139 - 131. Calculate u*g(o) - 5*p(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 2*t - 6*t + (20*t + 58*t + 62*t)*(-3 + 4 - 9).\nAnswer: -1127*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3368436 = -108*b - 820068. What are the prime factors of b?\nAnswer: 2, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -11. Let x = -0.355 + -67.645. Let h = 70 + x. Which is the closest to p? (a) -4 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 bigger than -187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 5. Let n be 124\/(-24) - (-1)\/6. Let w(a) be the first derivative of a**2 - 6*a - 102. What is n*m(o) - 4*w(o)?\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, s: 4}. Give prob of sequence ss.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 2*c**3 - 6*c**3)*(-4042 + 1385 - 361 - 5469 + 1094).\nAnswer: 14786*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1168 - 995.2. Let o = 173 - b. What is the second biggest value in -6, o, -0.2, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67 - 14*o + 67 + o + 1 - 1 + (0*o + 3*o - o)*(-4 + 1 + 1) - 2 + 2 - o + (-2 - 2 + 0)*(2*o - o + o).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 44*u**2 + 51*u + 17. Is x(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.679 + -0.021. Let s = -2.7 - v. Let z = 1.99912 - s. What is z rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -188330*l**3 - 740*l + 509196043 wrt l.\nAnswer: -564990*l**2 - 740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 20. Let b = -483 + 500. Determine t(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/13? (a) 4 (b) -0.2 (c) -1200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106 - (-113 + 53)) + 67?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -1111111011101111011010011?\nAnswer: -1111111011101111011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1107 and 1189.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 251 + -177. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/27))**(-1\/19)\/(s**19)**(-2\/5) assuming s is positive.\nAnswer: s**(19504\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*(-4)\/20.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - z)*(-455*z - 2 + 99*z + 176*z).\nAnswer: 180*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*q - 20, 2*n + 69 = -q + 11. Which is smaller: n or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 9567*q + 9572*q - 25 = 0, w = 5*q - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**3\/3 + t**2\/2 - 4*t - 6. List the prime factors of a(-7).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-150)\/(-210) + 50\/(-168)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 14*z - 122. Give b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 - 5680*h - 1613120 = 0.\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -7*n - 16. Let k be ((-12)\/n + -2)*-10. What is the third derivative of 42*c**5 - 17*c**5 + 8*c**2 - 4*c**k wrt c?\nAnswer: 1260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 120 = 15*r. Suppose 43 = r*n + 35. Solve -3*m = -n*b - 1, -4*m = 3*b - 6*b - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14928 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -190*g - 4. Does 13 divide k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6\/(-6)) - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46.3*9715.\nAnswer: -449804.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3066\/(-630) - 4\/30. Let p(l) be the third derivative of l**6\/120 + l**5\/10 - 5*l**4\/24 - l**3\/6 + l**2. What are the prime factors of p(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from xxyxyyyyyyyyyx?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 5*s - 16 = 0. Let r(y) be the second derivative of -y**2 + 0 - 4*y + 5\/3*y**3 - 2\/3*y**s. Factor r(a).\nAnswer: -2*(a - 1)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298512733, 298512739, 298512745, 298512751?\nAnswer: 298512757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -7\/24*p**4 + 9*p**2 + 0 + 0*p + 1\/2*p**3. What is the first derivative of f(z) wrt z?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.1. Let j = 42.26 - 42. Let z = j - a. What is z rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(2\/127))**(1\/3)*z**(1\/2)\/z**5*z**(1\/2)*(z**(-1\/3)\/z)\/z assuming z is positive.\nAnswer: z**(-2417\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9415 - -2.5415. Let m = -0.01 - 4.99. Let g = 4.7 + m. Sort g, s, 0, -3 in ascending order.\nAnswer: -3, s, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46192 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 902 and 12552683?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 29*y = 51 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 1\/5, 4, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/312 and -35\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 178, 169, 162, 157?\n\"Answer: k**2 - 12*k + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/671448 and 7\/3324?\nAnswer: 671448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*x + 142 = -13*x + 2*p, 4*x - 30 = -2*p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5648 is divided by 266.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.02, 6, -5, -2, -0.1, -0.4, 4.127?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5624 (base 14) to base 4.\nAnswer: -3221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652.9986 millimeters in meters?\nAnswer: 0.6529986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1816, -336 in decreasing order.\nAnswer: -2, -336, -1816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12070016 divided by -317632?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151736336 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (1*sqrt(1573) - sqrt(1573) - sqrt(1573)) + 3 + 2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - 1. Let u = k - -106.43. Round u to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2576?\nAnswer: -1\/2576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28373, 56868, 85369, 113876, 142389, 170908, 199433?\n\"Answer: 3*p**2 + 28486*p - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1184\/3996*(-12)\/16. Sort 5, -1, 1\/2, 2.2, l in descending order.\nAnswer: 5, 2.2, 1\/2, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1731303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 1. Let n be s(3). Suppose -5*g - u = -0 - n, -5*g = 2*u - 11. Is 3\/(-3)*g + 14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (498 + -48)*9\/((-135)\/34550). Round j to the nearest 10000.\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 311784 and 1848?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*l - 4*a, a + 0 - 5 = -5*l. Suppose l = -0*k + k - 2. Solve 3*h + k + 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*n - 1043*n + 501*n - 629 = 0 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.454 rounded to two dps?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.05630022.\nAnswer: -0.016890066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*h + 30, -62*a + 48*a - 57 = -10*a + 3*h for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-6))\/((-46)\/24 + 2). Let t(u) = 4*u + 48. Let l be t(r). Suppose -354 = l*d - 26*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27105804 divided by -2258817?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 1.07, -0.2, 4, -2\/5, 0.8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 4. Let d = 30 - u. Suppose 3*w - 2*g - d = 0, w - 6 = -w - 4*g. What is the greatest common factor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + -6. Suppose -18*x - y - 256 = 0. Which is smaller: x or -33\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -166 - 311540?\nAnswer: -311726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -15346*o - 184160. What is d(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 349, 393, 437, 481?\n\"Answer: 44*s + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*3957\/(-15)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44126 (base 10) in base 15?\nAnswer: -d11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30468 + -30464. Solve -9 = -f*v - 3*j, -14*j = 2*v - 16*j - 22 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75143000 to the nearest 100000.\nAnswer: -75100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26893013*i**3*j**2 - 305*i**3 - i**2*j + 185*i**2 - 2*i - 15*j wrt j.\nAnswer: 53786026*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -459012, -459002, -458976, -458928, -458852?\nAnswer: -458742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 496, 563, 652, 745, 824, 871, 868, 797?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-56)\/(-7) - 27)\/(1\/(-9)). Calculate the highest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {f: 8, z: 5, o: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + -5 + (16504\/2 - 0) - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -3*o - 18. Let u = -59 + 61. Suppose -z = 3*v - 161, -u = z + 2. What is the highest common factor of v and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*s + 501 - 591 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 + 1745270*g - 3490532. What is i(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 - f**3 - f + 10*f - f**3 + 9*f to the form h*f**3 + q*f + d + b*f**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 362304 and 112?\nAnswer: 2536128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 761377409 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6888 smaller than -6890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(600)*1 - sqrt(6)) + ((1 + sqrt(1053))*-1 - sqrt(1053))**2.\nAnswer: 325*sqrt(13)\/9 + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130177 is divided by 57?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.52 - 0.23.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, -2, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 94 = -86. Let w be 14\/(-21) + 118\/n. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9908049059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 19. Suppose -3*q - i = -q. Let t = 18 + q. Solve -3*y + 3*r = 0, -2*y + 7*r + t = 2*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 12364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5039455?\nAnswer: 5, 1007891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77168*m**5 + m**3 - 13*m**2 - 318*m wrt m.\nAnswer: -4630080*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*u - 2*u. Let f = u - 1. Suppose -2*k = -3*y + 9, 6*k = 3*y + k. Solve -f = -y*a + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6610 - -13996. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -22228.\nAnswer: -1\/11114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (43696250\/78)\/(1*(-2)\/(-288)). Round v to the nearest one million.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80501?\nAnswer: 79, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 23 - 2 = -5*r, 4 = -2*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -471 (base 9) to base 6.\nAnswer: -1444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*b + 3*m, 0 = 3*b + 3*m + 2 - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (0 - (0 + 1)) - (900 + -844).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2986 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372155.\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2273000 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - 43. Let p(x) = 5*x**2. Give b(p(m)).\nAnswer: 100*m**4 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 123975267 or 123975266?\nAnswer: 123975267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**6\/120 + 11*n**5\/60 + n**4\/8 + 2*n**2 - 404*n. What is b(-11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r + 1. Let h be s(3). Let p = h - 6. Suppose p = 10*v - 8*v. Solve -4*z + v = -n, -2*z + n = -3*n - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85226610, 85226611, 85226612?\nAnswer: 85226613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0146 + -0.3854. Which is the nearest to -12? (a) z (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1258*u**2 + 7687*u**2 - 316*u**2.\nAnswer: 8629*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**2 - 917201*w - 12*w**2 + 917201*w.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 928 (base 11) to base 14\nAnswer: 59d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 8) + -22 - 1115\/(-55)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1964 rounded to 1 dp?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 24*h**2 + 2318 - 3*h**2 - 4626 + 2315 + 3*h**3 to the form f*h + n*h**2 + a*h**3 + p and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 10 = 8*j. Let s(h) = 3*h - j*h + 0*h. Let k(p) = -5*p. Let d(b) = -6*b. Let r(z) = 6*d(z) - 7*k(z). Give s(r(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -594.61 to the nearest ten.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdmd when four letters picked without replacement from {d: 3, m: 1, z: 3, l: 5}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -4, 304, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllnlllzbltbt. Give prob of picking 2 b, 1 n, and 1 z.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 44. Does 4 divide ((-6)\/s)\/((-2)\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6)*r*r**(-10)*r assuming r is positive.\nAnswer: r**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197817 and 21225.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**7\/350 + 3*n**6\/200 + 3*n**5\/100 + n**4\/40 + 4*n**2 - 49*n. Factor a(t).\nAnswer: 3*t*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45749 or 45747?\nAnswer: 45749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffuvvfe. Give prob of picking 1 v, 2 f, and 1 u.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1679 divided by -23?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1891.071?\nAnswer: -1889.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*x + 28, -7167*u - 9 = -7162*u + 3*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 8*m = -g - 4, 5*g + 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1152239 and -101\/1922.\nAnswer: 2304478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 343*t**2 - 342*t.\nAnswer: 686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - -24. Suppose f = -4*o - 72. Let s = o - -43. Solve -s*j - 3 = -9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 - 11?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24179, -24220, -24273, -24344, -24439, -24564, -24725, -24928?\nAnswer: -25179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -50. Suppose -98 = x*o - 107. Suppose -20 = -r - o. What is the remainder when 101 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 3086175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 178733 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15\/38 + 2\/19. Which is the third biggest value? (a) r (b) -2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 75876*i\/7 + 75878\/7.\nAnswer: -2*(i - 1)*(i + 37939)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/11 + 62038*d**3\/11 + 129780*d**2 + 10925888*d\/11 + 2528512 = 0. Calculate d.\nAnswer: -8, -7, 31042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000060552 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(891) - (sqrt(539) + (sqrt(539) + sqrt(539) + 0)*-2 + sqrt(539)).\nAnswer: -3 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) + (-986)\/(-10). Suppose 3*q = 3*t - y, -3*t - 42 = 5*q - 157. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 9 = 5*z - 5, -5*t - z = -8. Let q(f) = 1. Let g(y) = -y - 4. Let c(n) = -3*g(n) - 12*q(n). Give c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 38*c**2 - 19*c**2 - 18*c**2. Let h(a) = -18 + 18 - 11*a. Determine h(x(m)).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/31)\/a**41 assuming a is positive.\nAnswer: a**(-1275\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y. Let p be t(1). Let u = -1.8 + -11.2. Let f = 17 + u. Which is the third biggest value? (a) p (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 59*c**2 - 19*c - 273. What are the prime factors of v(-9)?\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000642942 rounded to 6 decimal places?\nAnswer: 0.000643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/174 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 6 - 6 = 0. Suppose u + 12 - 15 = r. Suppose -u*z - h = 0, 3*z + h = 3*h + 9. Which is the smallest value? (a) z (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101225345 < -101225343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -53*k + 16. Let z(d) = 108*d - 32. What is -13*t(s) - 6*z(s)?\nAnswer: 41*s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (7 - (6 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -32 - -32 - 154) + 3?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -588 at most -588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2. Let v(h) = h**2 + h - 3. Suppose -16 = 4*q - 4. Let j be v(q). Suppose 2 = j*g - 1. Determine o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 186*g - 79. Let t be ((-4)\/(-5))\/(4\/80) - 4. Is c(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-60)*-3)\/((-12)\/48)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44141 or 27430?\nAnswer: 27430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-5*(-10)\/(-25)))\/1. Solve -3*f - 19 + 4 = l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*w**2*x - 59*w**2 + 2*w*x + 4618*x wrt w?\nAnswer: 100*x - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318716 - 318716 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 21*r + 21. Let x(g) = g + 7. Let y(z) = -t(z) + 3*x(z). Let d(v) = -8*v. Let c(u) = -23*u. Let m(n) = -6*c(n) + 17*d(n). Determine y(m(p)).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3240006 and 3092733.\nAnswer: 68040126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.043 (b) 2 (c) -0.4 (d) -49865\/12 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 835037785 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzdz when four letters picked without replacement from zdzdzdzdddzdn.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6318, -12758, -19190, -25614, -32030?\nAnswer: -38438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/5 or -158258?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 9 - 1. Let l = 131 - 129. Suppose 0 = -x - u*x - 3*j + 18, -x + l = -3*j. Solve 2*g + 12 = x*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13266 + 13514.04. What is b rounded to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 24237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52138168.\nAnswer: 2, 2207, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*y + 18, -3*h + 2*y = -4*h - 11. Let t = h - -4. Let m be ((-1)\/3)\/(t\/3). Is 0 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67363.2649163+-24\nAnswer: -67387.2649163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r - 1 + 1)*(-1 + 8 + 0) + 13 + 8*r - 13 + 4*r - 3*r + 2*r)*(-13 + 13 + 6*r)*(2*r - 3*r + 2*r)*(-r + 3*r - r).\nAnswer: 108*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 30.61388ng?\nAnswer: 0.03061388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32123 and 728?\nAnswer: 256984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 492857, 492823, 492789, 492755?\n\"Answer: -34*r + 492891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -100217070.\nAnswer: 2\/50108535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**3 - 10*a**2 - 9. Let i(w) = w**3 - w**2 + 1. Give 3*i(l) + j(l).\nAnswer: -2*l**3 - 13*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688 is divided by 131.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y = 10. Suppose -2*k - 94 = -5*z, -6*k = z - y*k - 10. Let x be (-4)\/18 - (-43560004)\/z. What is x rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w, -4*i + 6*w - 3*w = -133. What is the first derivative of -38*t - 42 + i*t - 44*t wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5874697?\nAnswer: 137, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3166272 and 4405248.\nAnswer: 101320704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 115. Let b = -36 + u. Let i = b - -17. Solve -4*s + 2*s - 21 = 5*q, i*q + 4*s + 24 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233372.\nAnswer: 2, 41, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3\/3 + 133*l**2 + 22508*l\/3 = 0.\nAnswer: -331, -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 99513.6 seconds?\nAnswer: 99513600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4.1. Let m = -0.2 - w. Let t = -0.2 - m. Which is the smallest value? (a) -0.5 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13595 + 19535. Is s a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20560?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -629, -1250, -1869, -2486, -3101, -3714?\nAnswer: -4325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -c147 (base 13) in base 10?\nAnswer: -26592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7061 + 9056. Which is the third smallest value? (a) -3 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 15. Suppose 5 = -s*a + 3*a + h, 11 = -3*a + h. Calculate the common denominator of 30*((-6)\/a)\/(-56) and 1\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*y, -4*n = 5*y - 4*y + 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h - 21. Calculate j(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {f: 2, i: 8, x: 1, z: 2, q: 4, e: 2}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*b - 3*w, 4*b + 684 = 5*w + 701 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*x - 135*x - 38*x - 287*x to c*x + d and give c.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*46.9\nAnswer: 32.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6383, 6102, 5809, 5504, 5187, 4858, 4517?\n\"Answer: -6*p**2 - 263*p + 6652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-18))\/((-3)\/2). Let d = -2\/87 + -77\/435. Let j = 0.02 + -0.02. What is the closest to j in s, -2\/7, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -61, -260, -643, -1252, -2129, -3316, -4855, -6788?\n\"Answer: -7*s**3 - 50*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -1, 4722\/5, -0.4, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 2*t. Let s be a(1). Suppose 25 = 4*g + s. Let o be 3 - (0\/2)\/(-1). What is the greatest common factor of g and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -27 + 2*g**2 + 3*g - g**2 + 10 + g**2. Let x = 33 - 40. Does 15 divide m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5710.337l?\nAnswer: 5710337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860 = 12*o + 248. Calculate the remainder when o is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Let i = j + 0.9. Let x = -95.5 - -96. Which is the closest to i? (a) x (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1059761 and 111\/56?\nAnswer: 59346616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10515 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -22 - 5973*o + 4 + 5969*o. What is the lowest common multiple of 1 and t(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(405) + sqrt(405) + -2)**2.\nAnswer: 36*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1964 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + 2 + (569 - 564)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/188 and -29\/6492580.\nAnswer: 6492580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 + 200*p**2 - 4*p + 2*p - 133 + 266.\nAnswer: 200*p**2 - 2*p - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:06 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 2*v - 2. Give u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = 3*k + 2*x - 578, 5*x = -5*k + 1615. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 2*u + 5)*(2 - 2 + 3) in the form h*u + y and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 2*p. Let b be c(-2). What is the common denominator of 3 - ((-56)\/(-5) - b) and (-244)\/(-21) - 6\/21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6601, -7423, -8245, -9067, -9889, -10711?\nAnswer: -11533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32613 + (-2 - -2 - (2 - 5)). Suppose f - 11364 = 11*b. List the prime factors of b.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -11. Let p be (-6)\/(-36) + (-2)\/12. Let l = -0.57 + 0.37. Put l, v, p in increasing order.\nAnswer: v, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 83*x = -81*x - 6, -25 = -5*t - 5*x. Solve 0 = -24*s - t*s + 168 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(204) - sqrt(204))\/(4*sqrt(192)).\nAnswer: -11*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-119)\/238)\/(8\/(1232\/35)). Let x(r) = -r + 1. Let k be x(4). Is o less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 11000111100100100111101110?\nAnswer: 11000111100100100111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 247ba (base 12) in base 13?\nAnswer: 19714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(684))*-1 - sqrt(684)) + 4)**2.\nAnswer: -24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4990172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - 61 - (-2 + 5 + 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*p = 4, 0 = 2*x + p - 9 + 8. Suppose x*n - 96 = -8*n. Calculate the remainder when 41 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/408090 and -17\/10734.\nAnswer: 730073010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(1053) - sqrt(1053)).\nAnswer: -27*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5559.3 + -5559. What is the biggest value in -48, -1, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 596 + -614. Let k(g) = 3*g**2 + 11*g + 223. What is the hundreds digit of k(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**2*w**2 - 5*g**2 - 3*g*w**2 - 5*g*w + 495*w**2 + 18 wrt w?\nAnswer: -14*g**2 - 6*g + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*((sqrt(260) - 1*sqrt(260)) + sqrt(260)))\/(-1*sqrt(5)*5))**2 + 3)*-5.\nAnswer: -127\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06015173 to 3 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3 - -8. Let h = 6 + -15. Let n = h + 4. Which is the second smallest value? (a) n (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15322?\nAnswer: 2, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -82, -61, -18, 53, 158?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45028.\nAnswer: 2, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 (base 7) in base 9?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124872800 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-9 - 918\/(-117) - 4\/(-26)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from erbevbgvvbbo.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**2 + x + 1. Let g be 9\/2 - (-3)\/(-6). Determine p(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, d: 2, u: 2, n: 1, v: 3}. Give prob of picking 1 v and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqi when four letters picked without replacement from {i: 5, q: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**4 + 1 + 5*h**4 - h - 777*h**2 - 16*h**3 - 3*h**4 + 775*h**2 to k + p*h**2 + n*h**4 + d*h + q*h**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48080 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -284*c**3*t - 2*c**3 + 13*c - t + 3 wrt c.\nAnswer: -1704*c*t - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-560)\/(-60))\/(-4)*(-99)\/11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -777*c + 751*c + 35178. Calculate the remainder when c is divided by 450.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*i - 30. Suppose w - 3 = 12. Calculate the highest common divisor of w and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 127*z**2 + 41*z**2 + 50*z**2 + 0 - 1 + 43*z**2. Let x(f) = f**2 - 1. Determine h(u) + x(u).\nAnswer: 8*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -656.1 - -650.1. Which is the third smallest value? (a) z (b) -13 (c) 4 (d) 0.3 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -19 + 12 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 6*l - 4*r + 22, -r = -5. Which is greater: l or -1\/331?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 399, 501, 601?\nAnswer: 699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 7*s - 3. Let n be p(6). Let c(m) = -n*m - m - 15*m. Let v(a) = 62*a**2 - 134*a**2 + 73*a**2. Determine c(v(i)).\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 6.97. Let j = -165.87 - -166. Let o = g + j. What is the closest to o in -2, 2\/15, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2962*g + 3266*g = 4256 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9659 - 48\/((-18)\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 - 73*s**3 + 29*s**3 - 2 + 4.\nAnswer: -44*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84899 divided by -84899.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25775 + 32574?\nAnswer: 4577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2573 + 2590. What is the third biggest value in 0.4, n, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**2\/2 + 11*t + 2. Let p = -18 + 18. Calculate the remainder when a(p) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 49*u**2 - 7*u - 2. Let g be s(-1). What is the highest common factor of 864 and g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 37*b**2 - 2*b - 1. Suppose -3*u + 140 = i, 19 = 3*i + 2*u - 415. Calculate the remainder when 3\/(6\/i) - -2 is divided by o(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*z)*(9 + 14 + 4)*(2 + 1 - 4).\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - -1.3. Let j(a) = -a + 1. Let m(i) = i**2 + i - 3. Let n(w) = 4*j(w) + m(w). Let c be n(2). Put d, -0.2, c in decreasing order.\nAnswer: -0.2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*12*(-16)\/(-192)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.9 (c) -56 (d) 26\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f**2 - 2362 + 7399 - 5*f - 2522 - f - 2515.\nAnswer: -32*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464848 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3632\/(-210) - (-316)\/3318) + 19. Factor 12\/5*t**2 - 6\/5 - m*t**3 + 3*t.\nAnswer: -3*(t - 2)*(t + 1)*(3*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**3 + 4*g**2 - 5. Suppose 68 + 17 = 5*y. Suppose 0*z = -8*z. Suppose y*l - 16*l + 6 = z. Let b(r) = 5*r**3 - 5*r**2 + 6. Give l*t(w) - 5*b(w).\nAnswer: -w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -422.3 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -12. Let b(d) = 4*d + 66. Let n be b(-16). Let h be 1*(1 + n + v). Which is greater: 2\/9 or h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -181*x - 2125. Let v be c(-12). Is v not equal to 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w + 30. Let z be 10\/w + 1 + 2. Let b(j) = -2*j**2 - j + 2. Let c be b(-2). Sort z, -5, c.\nAnswer: -5, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -2274, 3 in descending order.\nAnswer: 5, 3, -4, -2274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (9 - -7) + -32 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h + 3. Let o be 2\/(-4) - (-9)\/2. Let x(y) = -y**2 - 45*y + 15. What is the remainder when r(o) is divided by x(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5604 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*x + 19*x. Let l = -90 + 93. Sort l, 4, x, 5 in increasing order.\nAnswer: x, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479985 less than or equal to 480063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Suppose 3*n = 2*l + 44, -5*n + 5*l = -p*l - 70. Let g = 4 - 2. Calculate the greatest common factor of g and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1952166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 879, 876, 863, 834, 783, 704?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)*l**(-11)*(l*l*l\/l**(2\/7))**(-46) assuming l is positive.\nAnswer: l**(-1021\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2252, 2235, 2196, 2135, 2052, 1947, 1820?\nAnswer: 1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-10 - 88\/(-8)). What is the closest to -21\/10 in v, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536983417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 21*a - 147. Let i be v(7). Suppose 12*m - 22*m + 280 = i. Suppose 8*s = 3*s + 980. Calculate the greatest common divisor of m and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.345 - 0.345. Which is the nearest to 1? (a) j (b) 3\/20 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30365698*l - 15182848*l - 15182849*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2132 = -5*h + 343, -2*u + 990 = -2*h. Let l = u - 275. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - (-39956)\/16) + 10\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 96*s + 4572. Determine q(-47).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -0.3 (c) 1736\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010111 - 1122?\nAnswer: 1002323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2242 divided by 2\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*k + 4 = 67*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-8) - 5\/10. Let t be 417\/(-12) + l\/(-8). Let a = 89 + t. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -4, -2, 17, 10\/107, 2\/15 in decreasing order.\nAnswer: 17, 2\/15, 10\/107, -2\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6361502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -269?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -80728.\nAnswer: 3229.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 619883179 to the power of 1\/3, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(8\/84) + -7. Solve -11*o + w*o = -12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-37620)\/(-2926))\/(2\/7)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35, 142, 319, 566, 883?\n\"Answer: 35*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 18886\/8*(9 + -13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let b = 1 + i. What is the second smallest value in 3, b, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -398\/13 + 5923\/182. Find the common denominator of k and -99\/124.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3682 not equal to -3682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 9, 2 in decreasing order.\nAnswer: 9, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 3. Suppose -5*t + f = 117, 0*t = -t + f - 21. Let y be (-16)\/t*9\/(-1). Give c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3319*h = -95102 - 87443 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 - 84. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2990*h = -3003*h + 45864. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 50*d**3 + 0*d**3 - 11*d**3 - d**2 - 1 - 20*d**3. Give g(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2816614*u. Let s(m) = -5*m. Calculate f(s(r)).\nAnswer: 14083070*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177600, 355194, 532792, 710394, 888000?\nAnswer: 1065610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {x: 16, c: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -108*3\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57992 - 84514 = -1737*s - 1656*s for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2*l + 5. Suppose 0 = 4*v + 4, 3*p = 2*v + 2 + 12. Let u be z(p). Suppose 10 - 4 = 3*o, 2*w - 5*o + 18 = 0. Is w greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1672 and 6536.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1125*x*z**3 - 3339*z**3 wrt x.\nAnswer: 1125*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 852374, 1704856, 2557328, 3409784, 4262218, 5114624, 5966996?\n\"Answer: -k**3 + k**2 + 852486*k - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 247067.9t?\nAnswer: 247067900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 9. Suppose 0*v + 2*v = 10. Let q be v - 2 - u\/2. Which is the closest to 0? (a) q (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -1\/2 (b) 3\/4 (c) 0.7831 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -595309.\nAnswer: -595309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/1020)\/((35\/56)\/5)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -310097 + 4961615\/16. Let j = -36415735\/306 + 119006. Calculate the common denominator of y and j.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 3*u - 16, 18*u + 6*u = 2*p - 15*u + 38*u + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/4 - 4083*g**3\/4 - 2028759*g**2\/2 + 56559800*g - 109053912 = 0?\nAnswer: -2068, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h + 8. Let n be a(-4). Suppose 5*z = -n, 4*r + z + 122 = 18. Let g = -8 - r. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027117224 to 5 decimal places.\nAnswer: -0.02712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 14*j + 30. Suppose -k = 3*y - 19, -2*y = -k - 13 - 3. Determine a(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/9*(-18 - -15). Put -0.4, -3, -2, t in decreasing order.\nAnswer: -0.4, t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27507 + 40?\nAnswer: 27547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3066 = 3*s, 2*s + 12*i - 2047 = 11*i. Does 93 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.885301 rounded to 2 decimal places?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423860829 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27176 and 1501.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 6) to base 9\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -1165?\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z + 0*z)*(z**3 + 27 + 82 + 1348*z**4 - 1349*z**4).\nAnswer: -z**5 + z**4 + 109*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3\/4, -0.41, -40068\/13 in increasing order.\nAnswer: -40068\/13, -3\/4, -0.41, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = x - 10. Suppose v - 2*v = x*v. Suppose 6*b = 4*b + 8. Solve j - b*j = v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q - 6 - 3 + 7 as y + d*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5201 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, c: 1, v: 1, u: 4}. Give prob of sequence cg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1472 (base 10) in base 7?\nAnswer: -4202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 143482916501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:28 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3973.0003269 - -3973. What is t rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 147857, 295710, 443557, 591398, 739233, 887062, 1034885?\n\"Answer: -3*w**2 + 147862*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*w + 99 = -55*u - 17, 5*u + 3*w = w - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljwev. Give prob of sequence elwj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1176, 0, 3, -5, 118, -4 in increasing order.\nAnswer: -5, -4, 0, 3, 118, 1176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, -22, -39, -60, -85?\n\"Answer: -2*k**2 - 7*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 261*h + 3417. Determine v(-15).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -67.\nAnswer: -17\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from essessosoeoesos. What is prob of sequence ses?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15537, -31455, -47387, -63339, -79317, -95327, -111375?\nAnswer: -127467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 225 = -3*b - 16, 0 = -4*b - 4. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -964, -27, -594 in descending order.\nAnswer: -12, -27, -594, -964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256670 is divided by 1971?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 21 - 6*p - 31 - 571*p**2.\nAnswer: -571*p**2 - 6*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 29681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144154 (base 11) in base 6?\nAnswer: 4454115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 1014 - 1004 - 2*l)*(-l**4 - 3*l**4 + l**4).\nAnswer: 15*l**5 - 30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**2. Let q(p) be the third derivative of -p**5\/30 + 9*p**2. Give q(o(u)).\nAnswer: -128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 49*l**5\/10 + 71*l**3 + 158*l**2. Find the first derivative of f(y) wrt y.\nAnswer: 588*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 55. Let k be (-88)\/(-24) - (m\/9)\/5. Solve n + 0*n = -2, 0 = -k*b - 2*n + 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 306109150 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*z - 88*z = -460, -k + 81 = 5*z + 192 + 116 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*j + 1333, -4*i - 2*j - 3*j = 1070. Let o = 228 + -669. Let h = i - o. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 16*u + 1. Let z be -2 + 24\/(-1 - 3). Let i be j(z). Is 5\/5*i - (1 + -199) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -105.72, 4, -0.1, 14, -1\/5 in ascending order.\nAnswer: -105.72, -1\/5, -0.1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-396)*(168\/35)\/(-4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 18*x + 44. Let h be z(2). Let k(w) = -w**3 + 6*w**2 - 3*w. Let a be k(h). Solve 0*y = 4*y - a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3\/3 + 869*i**2\/3 - 2042*i + 1752 = 0.\nAnswer: -876, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 7*u**2 - 35*u + 64. Give h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 6916 (c) 0 (d) 99 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688523594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 185*l**4 + 7*l**3 + 4*l + 4*l**2 - 183*l**4 - 2*l as d + j*l**4 + w*l**2 + b*l + t*l**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**5 + 10\/3*r**3 + 10*r**2 - 5*r**4 - 15*r - 84. Factor n(a).\nAnswer: 5*(a - 3)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 106*w - 321.\nAnswer: (w - 3)*(w + 321)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -114, -109, -104?\n\"Answer: 5*s - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Suppose -p*m = -3*i - 21, -m + i = 4*i + 3. Suppose 24 = m*d - 0*d. Calculate the remainder when d is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d56c91 (base 15) to base 13.\nAnswer: -21440b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = y - 10, -5*r - 23 + 8 = -2*y. Let i(u) = -18*u**3 - 11*u**2 - u + 2. Is i(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 11 = 9. Let h be ((-94)\/(-329))\/(1\/(-14)*w). Solve -8\/5*m + 38\/5*m**3 + 16\/5*m**h + 0 + 14\/5*m**4 = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 5*j - 1. Let k be r(6). Suppose 0 = k*q + 593 - 133. What is the common denominator of -24\/5 and q\/(-24) - 1\/1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8963, -17869, -26775, -35681?\nAnswer: -44587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2961\/5906 - 4\/2953. Which is the closest to 0.1? (a) f (b) -73\/8 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 792.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47 or 1935\/41?\nAnswer: 1935\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -476c?\nAnswer: 476d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63423545567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r**(-3)*r**(-5)\/((r\/(r**1*r))\/r))**(-37) assuming r is positive.\nAnswer: r**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 1044*c + 711312. Calculate t(-390).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627128000 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96199 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/24)\/(16\/(-36))*(-10 + (-1008)\/(-90)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -2\/33*x**3 + 0 - 1\/66*x**4 - 1\/11*x**2 + 4*x. Let n(a) = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27345.\nAnswer: 3, 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14511305 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*z = -0*z + 6, -6 = -3*r + 3*z. Suppose 5*l - l - 172 = r. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 11 - 123*z**2 - 11.\nAnswer: -123*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35 - 0.59. What is f rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -23?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 + 7)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11441.1 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (438 - 438 - 149*b)*(190*b - 7*b**3 - 190*b)*(-1 + 3 + 0).\nAnswer: 2086*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 5. Let i be r(-14). Let l = -42 - i. Suppose -2491 = -5*z + 2*j, -j = l*z + j - 2499. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 88\/14 + (-2)\/7. Let h(j) = -j**3 + 2*j**2 - 8*j. Let k(b) = -b**3 + 2*b**2 - 7*b. Determine y*k(l) - 5*h(l).\nAnswer: -l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 14*x**2 - 14*x + 12. Let j be n(-13). Solve 0 = j*l - 29*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 3*i**2 + 3*i - 6. Let y be u(3). Suppose 0 = -5*o + y. Suppose -o*t + 733 = -545. List the prime factors of t.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116266 is divided by 208.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 9*x - 2*x + (3 + 4 - 5)*(x + 2*x - 5*x) + 4*x - 2*x + 5 + 1.\nAnswer: 5*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -10. Let q = -10 - -11. Sort n, q, 5.\nAnswer: n, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7255869 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) 0.6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 684.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*f, z + 2*f = 529. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*h**6 - 3*h**2 + h wrt h.\nAnswer: -3240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*v + 6, v + 3*m - 6*m = -1. Let o(n) = 2*n**2 + 0*n**v + 15*n**2. Let y(z) = -4*z**2. Calculate y(o(t)).\nAnswer: -1156*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -65, -144, -243, -356, -477?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 + 24.72. Let v = z + -25.2. Which is the smallest value? (a) 5 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 3. Let g(i) = -i. Let l(m) = -4*a(m) - 28*g(m). Let f be l(-8). List the prime factors of 4\/(-10) - (-828)\/f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15274?\nAnswer: 2, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - c)*(308 - 6 + 363 + 352).\nAnswer: -1017*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) - (6*(-4*sqrt(363) - sqrt(363)))**2 - (-4 + (sqrt(363) + 3)**2))*-6.\nAnswer: 330*sqrt(3) + 1962408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7384 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4148099.\nAnswer: 19, 233, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -85, -206, -415, -718, -1121, -1630, -2251, -2990?\n\"Answer: -s**3 - 38*s**2 - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289 + 107. Calculate the greatest common factor of 44 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r - 15*r + 44*r + 1400 = 32*r for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 9, -3*t - 2*c + 63 = -7*c. Let p = t - 10. Let r = p + -4. Solve -r*m - 2*m - 4 = 4*b, 3 = -b - 2*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2199 - 2243. What is the fourth biggest value in r, 0.2, -1\/6, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.237571 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 5*u - 1. Let g be w(-4). Suppose -38 = d + 3*v, g*d - 5*v + 0 + 100 = 0. List the prime factors of ((-90)\/d)\/((-3)\/(-14)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and -1474 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + -0.65. What is the nearest to -1 in y, 3\/2, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e50 (base 15) to base 3.\nAnswer: 200022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147770 is divided by 5470.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:39 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = 5*u - 115, -119 = -5*u - 3*c. Suppose -5*m + 0*w - 23 = 2*w, 4*m = 5*w - u. Let z = m + 9. Solve -i - 24 = 2*i - z*s, 5*s - 15 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 13131 = 2*t, 2*p + 2125 = -5*t + 34880. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21261365 to the power of 1\/2, to the nearest integer?\nAnswer: 4611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 5:18 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/7 - 6*(-9)\/189?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -6. What is the closest to 1 in 0.1, -0.5, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37360 and 80751305?\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122930805 by -24586161.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -336 - -342. What is the least common multiple of a and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 7. Let j be h(-6). Suppose 32400 = 4*o - 3*p, -j*p = -p. What is o rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-10)\/(-15)) - (-192)\/(-60)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84163 is divided by 21035?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 808 - 582. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 6*t - 2. Calculate j(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-24)*(-96)\/(-100)\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 653269.41 nanoseconds?\nAnswer: 0.000000181463725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*d - 3164 - 236. What is the remainder when d is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, c: 2, w: 1, e: 1, j: 2}. What is prob of picking 1 r and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 4\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 6*h**2 - 5*h + 2. Let p be a(-5). Suppose p*x - 6*x - 6 = -5*w, -w - 3 = -5*x. Let f(l) = -l**2 - 1. Calculate f(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + 8*j + 2*j**3 + 6*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -221. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(0*y - y**4 + 0*y)*(0 + 0 - y).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -119890000 to the nearest one million.\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/54954 and -59\/909.\nAnswer: 5550354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00131962339 rounded to seven decimal places?\nAnswer: -0.0013196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 1443. Let p(l) = 2*l**2. Calculate p(c(q)).\nAnswer: 32*q**4 - 23088*q**2 + 4164498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21021022112122001 - 0?\nAnswer: -21021022112122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d + 237231 - 32383 = 0. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, 10, 2, 83, -46.\nAnswer: -46, -2, -1, 2, 4, 10, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-11)*(s**(-11)\/s)\/s*s*s\/(s\/s**(-8\/7)*s)*s\/(s\/s**(-13)) assuming s is positive.\nAnswer: s**(-267\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (9 + 144\/(-84)). Which is the third biggest value? (a) x (b) -1 (c) 105\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55635, 55220, 54805, 54390, 53975, 53560?\n\"Answer: -415*b + 56050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egh. Give prob of picking 1 e and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 - -133. Let x = -31 - -14. What is the remainder when (118\/4)\/(x\/(-34)) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wtttwtqwwtwwwt?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {n: 9, x: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 - 6*g + 4. Let f = -1 + 5. Suppose r - 1 - 16 = -3*w, 5*w = -f*r + 33. Let t be a(w). Let p(k) = 4*k**3 + 2*k**2 + 2*k + 1. Give p(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 11 = 8. Let v(y) = -3*y + 4. What is v(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77907 is divided by 3022.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - -3354?\nAnswer: 3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)*x*x)**(4\/15)\/(x**15\/x**(-2\/21)) assuming x is positive.\nAnswer: x**(-1508\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o + 1. Let h(k) = 8*k + 6. Let x(j) = -2*c(j) + h(j). Determine x(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 12:08 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15.4 - 3448.4573\nAnswer: -3463.8573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122202122 + -21010?\nAnswer: -12200000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**3\/6 + 10*b. Calculate u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 0*q - 2*q)*(19 + 3 + 0) + 3*q + 0*q - 6*q + (1 + 1 - 3)*(0*q + 3*q - q) - 3 + 3 + 2*q.\nAnswer: 41*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, 1 l, and 1 f when four letters picked without replacement from {z: 1, f: 1, g: 1, e: 4, m: 9, l: 1}.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-335 + 51*d + 335)*(0 + 4 + 1) in the form a + o*d and give o.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5546341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213211334 (base 5) to base 3.\nAnswer: -1201101212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:14 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 10 = -10*l. Let -2*m**2 - 2*m**5 - 33*m**4 - 5*m**3 + 17*m**4 + 18*m**4 + 7*m**l = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/13)\/w)**(1\/14) assuming w is positive.\nAnswer: w**(-6\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(63)\/sqrt(3)*6)\/(sqrt(3) - 2*sqrt(3)*5).\nAnswer: -7*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.967 rounded to one dp?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 565 + 541. Suppose 0*h = -s*m + 3*h + 21, -13 = -4*m + h. Solve t + 2*k + 15 = -m*k, -5*t + 4*k = -45 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420514.9 millilitres to litres.\nAnswer: 420.5149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -328 - -328.0626. What is r rounded to 3 decimal places?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.5 (c) 5\/3 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 + 4?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5\/3 + 1004*g**4\/3 + 137564*g**3\/3 + 2923472*g**2\/3 + 22060178*g\/3 + 55978580\/3 = 0.\nAnswer: -239, -10, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d - 3 - 15)*(-2 + 3 - 3).\nAnswer: 4*d + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:15 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702404 is divided by 259?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3860 + -2623?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 92*i - 1739. Calculate h(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/136 and 163\/(-112)*(-88)\/(-198).\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 38*r - 30*r. Let z be 16\/r*(-18 + 3). Solve z*o + o - 33 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 16*h - 14. Let p be n(-15). Let v be p\/(-6)*4\/(-13). Are 1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - o = -0*o + 53, 2*h - o = 27. Solve -6 = -10*j + h*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. Suppose -h*n = -0 - 8. Solve -n*c = -7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g + 7\/30*g**6 - 25*g**2 + 0*g**5 + 0*g**4 - 17\/6*g**3 + 0. Differentiate l(c) with respect to c.\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1285483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 23*p + 2. Let c(y) = 8*y - 1. Suppose 1 = -2*q + 4*n - 1, 0 = 5*q - 4*n - 1. Let b be c(q). Is l(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*a**2 + 4\/7 + 2*a.\nAnswer: 2*(a + 2)*(3*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -729.97 take away 43?\nAnswer: -772.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c + 136*c**3 - 1 + 5*c - 135*c**3. Suppose 0 = 5*p + 11 - 1. Calculate s(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -37*w**3 + 15*w - 13. Let i(r) be the first derivative of 9*r**4\/2 - 7*r**2\/2 + 6*r - 5. Let u(t) = -6*b(t) - 13*i(t). What is u(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 39. Solve -w*y + 5 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 2:27 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-13) + (-49)\/(-273)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - -3) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 330307.2 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**8\/840 + g**4\/12 + g**3\/2 - 3*g**2. Let h(f) be the first derivative of t(f). Differentiate h(u) wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 2 - 12 - 48 - -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -2 - (-12 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -2, -2525, 5, 91, -1 in decreasing order.\nAnswer: 91, 5, -1, -2, -3, -4, -2525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**4\/4 + 595*q**3\/2 + 19665*q**2\/4 - 114275*q + 453985 = 0. What is q?\nAnswer: -218, -34, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141 + 173.2. Let z = t + -32. Let q = 3.1 - 3. What is the second smallest value in q, z, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3190\/(-154) + 22 + 5\/(35\/(-2)). What is the nearest to s in 36, 4\/9, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908278618 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, 46\/629, -0.2?\nAnswer: 46\/629","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/7 or -147?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(4 + -5)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/355362 and 31\/48.\nAnswer: 2842896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 2 + 1 + 11 + 6)*(8*h + 18*h - 8*h) to the form p*h + q and give p.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 108*o - 936 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -47224?\nAnswer: 3\/11806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {p: 4, t: 3, v: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*16\/168*7. Suppose -4*s + 50 = 3*m, 4*m - 4*s + 10 = 3*m. Suppose 0 = -5*v - 4*x, a*x + 0*x + m = -5*v. Sort -1, v, -3 in descending order.\nAnswer: -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3981 + -3965. Let d(y) be the third derivative of -1\/30*y**5 - a*y**2 - 2*y**3 - 5\/12*y**4 + 0 + 0*y. Solve d(s) = 0 for s.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10001011011101010010110 (base 2) to base 6\nAnswer: 241540130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a + 4. Let d(f) be the first derivative of -7*f**2\/2 + 5*f - 6. What is 3*d(m) - 4*t(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7765*a*n - 1779*a - 1 wrt n?\nAnswer: 7765*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 675 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359913765 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -8. Let s = o - -22.05. What is the smallest value in -0.1, 4\/3, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dqcqddqqdd.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 15. Let o = -35.9 + 36. What is the nearest to 1\/3 in s, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 - 1. Let a(k) = -6*k**2 + k - 2. Let v(u) = 3*a(u) - 4*w(u). Let b be v(5). Suppose -p = -b + 8. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -11 - (-12 + 8 + -12 + 22).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**5 + 28*l**4 - 40*l**3 - 72*l**2 + 108*l + 108 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3232 smaller than -3347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80\/6*36\/30 and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111010 + 1212102?\nAnswer: 101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -9, -24, -45, -72, -105?\n\"Answer: -3*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + 0?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72174295\/88 + 820145. Let s = 161\/8 + o. What is the common denominator of s and 41\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -2)\/(2*-1). Let v be (-2 + 2)\/((-4)\/l). Let p = -72 + 437\/6. Is v != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31097642 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 4. Suppose 17*y - 784 = -75*y - 6*y. Calculate the remainder when y is divided by h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-16) - 3489\/(-6). Let s = 1459 - t. Does 22 divide s\/10 + 2\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306105985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, e: 6, l: 4, p: 5, u: 1}. What is prob of sequence beu?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -26. Let i = -65\/3 - t. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -28 + 3 + -6 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 4*x + x + 1 + 10*x**3. Let t be (-5 - 4\/(-2)) + (-8)\/(-2). List the prime factors of y(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -22. Suppose -4*p = n + 10, n + 3*p = -0*n - 6. Let k be (n\/y)\/((-2)\/10). Solve -3*u = k*t, 3*t + t = 2*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9161 is divided by 316?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*r - 7. Let d(b) = 10*b - 3. Let z be d(r). Suppose 5*q - 1 = -w, 5*w + 5*q - z = q. What is the greatest common factor of 88 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -15. Let p(r) = -r**3 + 6*r**2 + 10*r - 17. Let d be p(w). Solve 0 = d*l + 2*v - 4, 3*v - 2 = 4*l - 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 6 - 2)*(2*c + 2 - 2) + (-4 + 0 + 2)*(-17*c - 13*c - 19*c) + 2 - 2 + 2*c)*(-2 + 0 + 0).\nAnswer: -172*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 40 = 11. Let m = 23 + y. Suppose 3*b + 3 = 0, -3*x + 4*x + 3*b = 2. Calculate the lowest common multiple of x and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 7*k - 75516. Suppose t - 6139 = -j, -j - 158 + k = 2*t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27090 divided by -5418?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 706907165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y - 12. Let u(p) be the first derivative of p**2 + 263. Give n(u(a)).\nAnswer: -12*a - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129\/2424868 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven halves of a millennium?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40722 is divided by 765.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 63?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 2:20 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.474 - 0.474. Which is the nearest to 1\/4? (a) 0.13 (b) s (c) -3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123694*m**2 + 2*m + 154298 wrt m?\nAnswer: 247388*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000777219048 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/51 + 20\/(-24). Put o, 3, -5\/4, 0.8, 1\/3 in descending order.\nAnswer: 3, 0.8, 1\/3, -5\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*h + h**2 + h + 0*h**2 - 3*h to the form y + q*h**2 + n*h and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v - 5370 = -5400 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3143 (base 10) to base 14\nAnswer: -1207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -153.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z - 140*z**2 - 125*z**2 + z as d + x*z + n*z**2 and give n.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17710*v**2 + 4 - 1 + 15.\nAnswer: 17710*v**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 32*v + 205. Let h be o(-12). Let g = 278 - h. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*f + 2*u, f = -3*f - 4*u + 4. Solve f = -5*d + 8 + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 5 + 1)*(-2*t - t + t) + (-2 + 2 - 5)*(3*t - 7*t + 2*t))*(0*t**2 - 4*t**2 + 2*t**2) as j*t + w*t**2 + n + x*t**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0 + 0)*(5*m - 2*m - m)*(0 - 2 + 0)*(-5*m**3 - 2 + 2).\nAnswer: 40*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9331.05, 1\/251, -0.3.\nAnswer: -9331.05, -2, -0.3, 1\/251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-12))\/1*(-387 + 116303) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00144818 to five decimal places.\nAnswer: 0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5312 - 5164. What is the greatest common factor of 2442 and k?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309130007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*l + 2*l + 23, 2*f + 3 = -5*l. Sort 0, -5, l, -2.\nAnswer: -5, -2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18672dd + 4?\nAnswer: -18672d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {u: 5, j: 1, x: 2, f: 6, v: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.2. Let z = -2 + 1.95. Let s = -0.55 - z. Which is the second smallest value? (a) n (b) -1\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4049*b = -4052*b + 5*h - 13, -3*b - 18*h + 33 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*d + 0 = -21, -m = 3*d + 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 0 - 1\/6*v**3 - 7*v**2 - 2\/15*v**5 + 0*v + 3\/70*v**7 + 1\/20*v**6 - 1\/4*v**4. Factor n(w).\nAnswer: (w - 1)*(w + 1)*(3*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0\/(-1))\/2)\/(-1). Suppose 0 = n + i - 11, o*i = -2*n + i + 16. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.9*-12.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 140.846 + -141. Is -0.02 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -7, 0, 352, -216, -2 in ascending order.\nAnswer: -216, -7, -2, 0, 2, 4, 352","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 scssssc?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p - 5. Let l(u) = 46*u + 20043. Let f(b) = -21*b - 9067. Let z(v) = 42*f(v) + 19*l(v). Let h = -22 - -12. Determine h*z(w) - 6*o(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5635282016 to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((2431\/(-102) + 23)*4\/(-10)). Solve -y = -3*a - k - 18, k - 25 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 59706, 119360, 179014, 238668, 298322?\n\"Answer: 59654*l + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321313 + 1101031?\nAnswer: 2023010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**26\/(t**(2\/13)\/t))\/(t*t**(15\/4)\/t*t*t)**(-4))**(-33) assuming t is positive.\nAnswer: t**(-21384\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1*(-2)\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyggygegv. Give prob of sequence vg.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 34. Let r(j) = -4*j + 3*j + 3 + i*j + j**3 - 3*j**2. Suppose 15 = -3*n + 8*n. Calculate r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 20471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 2*r + 3*r)*(977*r**2 - 613*r**2 + 1966*r**2) as c*r**3 + q*r + x + k*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1109818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -76*b + 1. Let g be v(-1). Let q = g + -75. Solve i - 3*i + q = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -c + 28, -3*c + 7*n - 3*n = -80. Suppose -c*x + 102 = -66. Calculate the remainder when 9 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1590, -501, 540, 1533, 2478, 3375, 4224?\n\"Answer: -24*s**2 + 1161*s - 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 25692*j - 282617. Determine k(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(4\/(-1))*(-2)\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 2*t - 4. Let z be (-3)\/(-12) + 38\/8. Let y(w) = 3*w**2 - 5*w + 8. Let p(c) = z*s(c) + 2*y(c). What is the first derivative of p(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8438, -16868, -25298, -33728, -42158?\n\"Answer: -8430*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11, -17, -11, -0.09, 0.1, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.8 (b) 2\/13 (c) 3\/181 (d) 2\/7 (e) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/17713 and 13\/2012?\nAnswer: 35638556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837833526.\nAnswer: 2, 3, 67, 694721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 3*b**2 - b**2)*((2 + 1 - 1)*(3 - 4 - 3) + 4 + 1 - 3 - 1 - 2 + 1).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 + 9*d - 73. Let x(z) = z**3 + 2*z + 1. Let f(j) = s(j) - 4*x(j). Differentiate f(n) with respect to n.\nAnswer: 3*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -205. Let n = h + 126. Solve -n*k - 4*w + 4 = 0, -5*w = -3*k - 2*w - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + 3. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9211885 bigger than -9211884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + sqrt(171) + 2*(sqrt(931) - ((sqrt(931) - sqrt(931)*-2) + sqrt(931)) - sqrt(931)))**2 + 3.\nAnswer: -636*sqrt(19) + 53410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -12\/758909?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179165919?\nAnswer: 3, 3833, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Calculate the lowest common multiple of 4 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/7)*d*(d\/(d\/d**2))\/d*d*((d\/d**(-1))\/d*d)**30 assuming d is positive.\nAnswer: d**(443\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1748526 by 874263.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3993, 3500, 2683, 1548, 101?\n\"Answer: l**3 - 168*l**2 + 4*l + 4156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85947 is divided by 841?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 59494\nAnswer: -10\/29747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3684435 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 35 = -7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 257609083*y - 16512494?\nAnswer: 257609083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16481 - -16480.8. Which is the fourth smallest value? (a) 0.1 (b) -0.021 (c) k (d) -2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**6\/20 + 33*q**4\/4 - 32*q**3 + 189*q**2\/4 + 1148*q. Determine x, given that y(x) = 0.\nAnswer: -9, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 332\/36 - (-4)\/(-18). Let b = -8 + w. Which is greater: 2\/35 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 43*x - 18 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 2) to base 12\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437789752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 229 and -1268227.\nAnswer: -1267998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 21\/4, 10 in descending order.\nAnswer: 10, 21\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -4*h, -5 = 4*z - 38*h + 33*h. Let p(u) be the second derivative of 26\/21*u**4 + 3*u + z + 4\/35*u**5 + 1\/2*u**2 - 55\/42*u**3. Factor p(y).\nAnswer: (y + 7)*(4*y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68319 or -68316?\nAnswer: -68316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 506835449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031 (base 7) in base 15?\nAnswer: -4a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*n + 207*n = 152595. What are the prime factors of n?\nAnswer: 3, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, 9 in decreasing order.\nAnswer: 9, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37.9433, -9, -0.2, 4\/5 in descending order.\nAnswer: 37.9433, 4\/5, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 0. Suppose -4*m = -u + 4*u - 32, m - 21 = -l*u. Suppose -r = a - u*r - 46, -4*a - 4*r + 120 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b. Suppose b = -k - 1 + 4. Solve -7*h = -k*h - j + 11, -5*j = -2*h - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddvdvvvdddvdddvv. Give prob of picking 2 v.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 95.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 6*h - 6. Let v be k(4). Let b be 1*1*(v + -3). What is the closest to 0.2 in -2\/9, b, -3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 15*y + 3. Let m be a(15). Suppose 2*j - 4 = -12, 5*v = -m*j + 28. Let i(f) = f**2 - 3*f - 5. What are the prime factors of i(v)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1656 and 1841976.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10851*h**2 + 4*h**3 - 205*h - 10851*h**2 to l*h**3 + k*h**2 + o*h + p and give o.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 78*s**2 - s - 6. Let f(z) = -233*z**2 + 3*z + 17. Give 6*f(u) + 17*o(u).\nAnswer: -72*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*c, 4*f = f - 3*c. Suppose -3*z - 2*x + 108 = f, -z + 180 = 4*z + 3*x. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404495 rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/40 and 85\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-49))\/((-26)\/((-2002)\/(-11)))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 8*l + 64. What is u(11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*y + 10 = y, -z - 5*y - 6 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w - 40 = -12*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16166132 divided by -2\nAnswer: 8083066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34363*f**2*t**3 - 61*f**2*t**2 + 1602*f**2 + 2*f*t**4 wrt t?\nAnswer: 206178*f**2 + 48*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-20)*((-175)\/45 + 4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -4, -190, 0.5 in decreasing order.\nAnswer: 5\/2, 0.5, -4, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4131 + -32987\/8. What is the common denominator of g and 3\/(-2)*455\/168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256806152 to the power of 1\/3, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 51. Suppose 2 = -4*h + z - 0*z, 3*h - 8 = -4*z. Suppose -3*m + 18 - 6 = h. Calculate the least common multiple of m and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 125\/(-1788) - 2\/(-8). Let s = -2\/149 + o. Which is the nearest to 6? (a) s (b) -3\/2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2781 - 4053. Let h = 2222 + l. Round h to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 - 3867?\nAnswer: -4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 29*g = -90 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17*x + 10. Let n be w(-8). Suppose -n = -v - 143. Suppose 1729 = v*o - 5*u, -4*u - u = 5*o - 2855. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*u - 2530, 24*u = 26*u. What is the greatest common factor of c and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtk when three letters picked without replacement from {g: 3, w: 1, t: 5, m: 1, p: 3, k: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Is 14 a factor of (q - -1)*150\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(90)\/(sqrt(10) + (sqrt(10) - sqrt(160)))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37\/5 in 73\/17, 5, -36?\nAnswer: 73\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-11 - (-2 - 5)) - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -5*o**9\/504 + 3*o**5\/10 + o**3\/2 - 12*o**2 - 2*o. What is the third derivative of k(c) wrt c?\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/17? (a) 3 (b) -6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*n, k + 0*n - 148 = 2*n. Let m be -2 - (-16 + 0)\/1. Calculate the highest common divisor of m and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n. Suppose 12*a - 10*a - 24 = n. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gff when three letters picked without replacement from xxgxfxfxxxxfxxfxffff.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 29*m - 149. Let o be r(5). Let a be ((-894)\/12)\/(o - 284\/(-72)). What is the highest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19536 = -i + 5*n, i + n - 26714 = -7148. What is the greatest common divisor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k**2 + k. Let h(t) = 12*t**4 - 3*t**3 + 3*t**2 + 3*t - 1. Let d(w) = -h(w) + 3*j(w). What is the first derivative of d(a) wrt a?\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7516547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*t + 56 = 0, 5*t + 435 = x + 500 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d - 3. Let h be b(0). Sort 0, -5, h in ascending order.\nAnswer: -5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*c + 615 - 615)*(-2*c - 1 + 1).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.003 - -2. Let d = a + -12.997. Let v = -12.984 - d. What is v rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 408*u**2 - 2475*u - 3726.\nAnswer: (u - 414)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*x + 2*x**2 + 59*x - 9*x**3 as a*x + t + i*x**2 + y*x**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:08 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -o - o - 5*t, o + 4*t = 2. Let x = o - -23. What is the third derivative of -g**x + 19*g**2 + 25*g**5 - 10*g**2 wrt g?\nAnswer: 1440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*o - 22*o - 12. Let s = 5 - 2. Solve -s*p + o = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-8 + 7 + -4 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**8\/112 - r**7\/70 + 19*r**2. Let k(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 6*b**2 - 9*b + 1. Let m be h(-8). Let y = m + 100. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 + 11 - (9 - 37)) + -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 5\/3, 16?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + -44. Let w = -24 - h. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -3, -5 in increasing order.\nAnswer: -45, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439 - -448. Suppose -36*l = -33*l - d. Find i, given that -1\/2*i - 1\/6 - 1\/6*i**l - 1\/2*i**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 + 18*n**4 + 9*n**3 - 30*n**2.\nAnswer: 3*n**2*(n - 1)*(n + 2)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 475*b**4 + 3 - 7 + 6*b**2 - 2*b**3 - 474*b**4 - 2*b**2 - 2*b**2 - 2*b in the form u*b + m*b**4 + f + k*b**2 + g*b**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*h**2*l*w + h**2*l - 2*h*l + 2*h*w - 30*l*w - 3120 wrt w.\nAnswer: 7*h**2*l + 2*h - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1901685637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3263\/5 - -665. What is the common denominator of 346\/(-180) - 24\/(-16) and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96812 (base 13) to base 10\nAnswer: -271598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-2\/23)*o*o*o*(o**9*o)\/o*(o*o**(-17))\/o**(3\/17) assuming o is positive.\nAnswer: o**(-1276\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 15. Let c(o) = -o + 1. Let n(u) = -6*c(u) - p(u). Let g be n(-6). What is the third derivative of 4*s**2 + s**2 - 4*s**2 + g*s**3 wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.47 - -0.53. Let m = -10 + s. Let o = -9 + m. What is the closest to o in -2\/9, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s - 201. Calculate the remainder when s is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-188.31\nAnswer: -56.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -3)\/4*-58. Calculate the greatest common divisor of 145 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 30. Suppose -5*q - 3 = -b. Suppose 3*h + 1469 = 4*i, 3*h = -q*i - 2*h + 1509. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - a**2 - 5*a + 2. Suppose -2*s - s = 18. Let n = 9 + s. Let g be x(n). Solve 2*v - 3*y = -7, -18 = g*v - y - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23\/66 - 5\/33. Which is greater: s or 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Let i(a) = -78*a + 1. Let m(s) = -6645*s + 7. Let r(q) = -6*i(q) + m(q). Give k(r(o)).\nAnswer: 6177*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1440 and 8.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*a - 7*a + 2*y + 23 + 39, a = -4*y - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.5 + -34. Let m = -3 + 5. Let z = p + m. Sort z, 4, 2.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 + 0.49. Let o = 4.9 - 5. Let c be (-145)\/140 - (18\/(-14) - -1). Sort o, c, j in decreasing order.\nAnswer: j, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, d: 2, t: 12, x: 3, e: 1}. What is prob of picking 1 x, 1 e, and 2 d?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1379 = 28*p - 1085. What is the highest common factor of p and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**2. Let p(h) = 3*h**2 - 4*h + 4. Let j(c) = 24*c**2 - 33*c + 33. Let o(a) = 4*j(a) - 33*p(a). Determine o(x(m)).\nAnswer: -75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 11*i - 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1\/1540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3898 take away -410804980?\nAnswer: 410801082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1397 - 1365. Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(5400))\/sqrt(6)*-6)\/((-2*sqrt(21)*-2)\/(sqrt(28)\/sqrt(4)*4)))**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4\/7 + 142*x**3\/7 + 400*x**2\/7 - 568*x\/7 - 1632\/7 = 0.\nAnswer: -68, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.980436 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-66) - 107\/(-44))*(-648)\/(-54)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, 4, 2, -7, -18584 in ascending order.\nAnswer: -18584, -7, 2, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 131.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 337*c**2 - 2*c - 2350 wrt c?\nAnswer: 674*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 31*v**2 + 143*v - 47. Calculate b(-35).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(592\/300 - 2). Let x be c\/(-30) + 1\/2. Let o be x\/(3\/(-2)) - -7. Solve 3 = o*n - 4*y, 5*y = -n - 0*y - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 5, -2, 0.7, 2\/5, 12689.\nAnswer: -2, -1\/9, 2\/5, 0.7, 5, 12689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12700 divided by 50?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38020 + 38020.3. Let u = -1.2 + 1. Let s = 0.3 - -0.1. Which is the closest to v? (a) s (b) u (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -0.55907?\nAnswer: 0.95907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238 - 37368\/157. Let f = -177\/1570 - k. Calculate the common denominator of 13\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*c - 78*c - 69*c - 83*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1948*j - 3910*j + 1947*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000048855 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 16 - 12 = i, 5*f - 10 = 5*i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 591, 5835, 20373, 48843, 95883, 166131?\nAnswer: 264225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 5*r**2 + 1\/96*r**4 + 0*r**3 + 3\/160*r**6 + 0*r + 0 + 1\/40*r**5. Solve k(p) = 0 for p.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiixixx. What is prob of sequence iii?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 762131*a*u**4 + 366*a*u**3 + 190159*a - 1363*u**2 wrt u.\nAnswer: 18291144*a*u + 2196*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-19)*((r*r**(2\/5))\/r)\/(r*r**9\/r*r) assuming r is positive.\nAnswer: r**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 813135, 813169, 813163, 813111, 813007, 812845?\nAnswer: 812619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/748 and 29\/3978?\nAnswer: 87516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7985390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnnnnnnnnmnn. What is prob of sequence nnm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 9:44 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*g + 326*g = 137*g - 164*g - 10968 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*m + 1 = 0, q - 2*q + 5*m = 32. List the prime factors of (-2)\/q - (-620)\/35.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, j: 4, f: 5}. Give prob of picking 4 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(99)\/(-1*sqrt(11)))\/(sqrt(9)\/sqrt(48)) + -2.\nAnswer: -2 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + 3699\/15)*70\/28 is divided by 140.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*z - 43, 53 = -0*t + 3*t + z. Let g = t - 13. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10977, 11819, 12663, 13509, 14357, 15207?\n\"Answer: n**2 + 839*n + 10137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*c**2 - 39*c**2 + 44*c - 35 + 47.\nAnswer: -4*(c - 1)*(14*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26, -2389, 257 in increasing order.\nAnswer: -2389, 2, 26, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30650, -30177, -29704, -29231?\n\"Answer: 473*y - 31123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/165)\/((-1)\/10*-4). Which is the smallest value? (a) -0.4 (b) g (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 10:00 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68))**2 + -1 - (sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) + (-4*(sqrt(68) + 1 + sqrt(68)))**2))).\nAnswer: 124*sqrt(17) + 4639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 52*g**2 + 52*g - 55. Let t be c(25). Let w(b) = b**2 + 7*b + 6. Determine w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 163 - 749?\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-2))\/(-1))\/((-10)\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:54 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 5) in base 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 702, 982, 1262?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12631 by 2.\nAnswer: -12631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 138*q + 1450. Let j be b(-3). Calculate the greatest common divisor of j and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from xhoonobnuhxhob.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 162*c**3 + 48*c. Let a(d) = -17*d**3 - 5*d. Determine -48*a(r) - 5*u(r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 - 204*z**2 + 261. Let p(b) = -4*b**3 + 411*b**2 - 522. Let r(h) = 5*l(h) + 2*p(h). Differentiate r(i) with respect to i.\nAnswer: 6*i**2 - 396*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-2*sqrt(85) - sqrt(85))\/sqrt(5))*-3)**2.\nAnswer: 270*sqrt(17) + 1602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2300, -494, 2522, 6754, 12208?\nAnswer: 18890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1764 (c) -0.002 (d) -0.36 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - -3.05. Which is the smallest value? (a) 0.8 (b) u (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 5*l - 20, 0 = 228*w - 225*w + 4*l - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**2\/2 - 79. Let f(u) be the first derivative of u**3 + 1. Give f(i(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3, 0, -1 in ascending order.\nAnswer: -1, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 15, a: 3}. What is prob of sequence aaka?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9310 is divided by 1922.\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 465 - -1761. Suppose -17*l + k = -3*l. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2484.7371 months?\nAnswer: 20.7061425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3 + 3*t + 2*t + 3*t - 5*t. Is q(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 15*d - 5*d)*(0*d - 3*d + d)*(0 + 0 - 2*d) to w*d**2 + u*d**3 + s*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227289 is divided by 17167.\nAnswer: 4118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/5)*f*f**(-7)*f**9*f**(-5\/6)*f assuming f is positive.\nAnswer: f**(107\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 179490995147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-735 + -3)*4\/6. What are the prime factors of 11\/(-55) + j\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9904, 79165, 267098, 633019, 1236244?\nAnswer: 2136089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -151, 16, 169, 302, 409, 484?\n\"Answer: -s**3 - s**2 + 177*s - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + 12 = 24*s. Let h be (-7)\/1*8\/(-56). Solve s*i + 5*w - 18 = -h, -2*i = -5*w + 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(50)*2 + sqrt(50))\/sqrt(10))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*b = -4, -4*b + 3 = -c - 6*b. Solve 0 = -11*z + 6*z - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((224\/42)\/8)\/((96\/28)\/(693\/98)).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160 - -132. Let a be (-2384)\/d - (-3 - 44\/(-14)). Suppose 2*u - 19*u = -a. Solve 2*k = -4*r - r - 7, 5*k = -u*r - 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 612?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 10 = -10*q + 6*q, -4*q + 26 = -3*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + i + 8. Determine v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 10.7. Let v = -50983 + 50981.69996. Let w = b - v. What is w rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 56596511113 and 5.\nAnswer: 56596511118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4265 + 4216. Are z and -42 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233033\/28 - 8321. What is the common denominator of i and 89\/44?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 15 - 23)*(-15 - 7*n + 15).\nAnswer: -112*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*v + 77 + 77*v - 95 - 228 + 51*v with respect to v.\nAnswer: 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1172.96 - 1109. Let n = 3.84 + g. Let q = 67.799607 - n. Round q to five dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 5*u + 2. Let r be a(-5). Find the first derivative of -r - p + p + 7 - 6*p**2 wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5241559136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0234271 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -410, -1149, -1888, -2627?\n\"Answer: -739*r + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 3*a - 2*a - 2*a - 6*a - a + (0*a - 2*a + 3*a)*(3 + 1 - 5) + (a - 6*a + 2*a)*(51 - 23 - 20).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {e: 1, g: 2, o: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 222267\/16 + -13897. Calculate the common denominator of -37*1\/(-36) + -3 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996365077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from qqqfinqqqqqq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + x**2 + x + 5. Let z be j(0). Suppose 10 = 5*l - z. Suppose -4*y + 25 + 87 = 0. Solve -6*s + l*w = -s + 2, -5*w = 4*s - y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46*g**2 + 158 + 166*g**2 - 42*g**2 - 47*g - 42*g**2 - 38*g**2 wrt g.\nAnswer: -4*g - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d + 3489 = 187 - 772 for d.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence een when three letters picked without replacement from eeeennen?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261749.7ms to nanoseconds.\nAnswer: 261749700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/3 + (-33 - -38).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505 a factor of 124767310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -229 (base 10) to base 4\nAnswer: -3211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-11) + 156\/11. Is 5\/1 - (t - 454) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**8\/56 - 11*m**5\/60 - m**4\/24 + 14*m**3\/3 - 5*m**2 - m. Find the second derivative of c(i) wrt i.\nAnswer: 120*i**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 31, 41, 55, 73?\n\"Answer: 2*i**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**5\/60 + 5*t**4\/12 - 10*t**3\/3 - 3*t**2. Let y be h(-13). Solve -3*x = 2*f + y, -3*x - 16 = f + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*m = -5*p + 12, 0 = 4*p - 3*m - 17. Suppose -4*f = -d + 60, -p*f + 68 = 5*d - 132. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3 - 4 + 0 + 3 + (4 - 5 + 3)*(4 - 4 - 1) + 3 - 3 - 2)*(0 - 1 + 2 + (-2 + 0 + 1)*(2 + 3 - 3) + 3 - 3 - 1)*(-2*z**4 + z**4 - z**4).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {c: 4, p: 1, n: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/49))\/y*y)**(3\/46) assuming y is positive.\nAnswer: y**(141\/2254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 0 + 7*z - 1\/3*z**4 - 5\/2*z**2 + 0*z**3. Differentiate g(x) wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:05 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21121122 (base 4) to base 13\nAnswer: -1469a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 5782 = 3*x. Let k = x - -785. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Suppose -t + 46 = -5*v, 3*v = -k - 8. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 - 4*o - 3. Let w be g(5). Suppose -5*f + 25 = 5*u, 0*u = 4*u - f. Suppose 0 = -b + u + 4. Solve b*k = w + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3 = 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8444 + 8488. What is the remainder when t is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 7*h + 7. Let g be (-6 - -7 - -2)\/((-4)\/(-4)). Calculate y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.02 (b) -5\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 51*l - 48*l + n, 0 = 3*l + 4*n + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1\/(-1))*((-78)\/(-27))\/(309\/5562)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 54*y + 9840. Determine i(-182).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 27*x**2 + x - 25. Let a be k(27). Solve 0 = t - 2*t + i - 6, 4*t = a*i - 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 11. Let x(g) = -10*g**2 - 7*g**2 - g**2 + d + 11. Let j(v) = -v**2. Let w(s) = -3*j(s) + x(s). What is the first derivative of w(l) wrt l?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**3 - 11*g**2 - 41*g - 21. Suppose -z = -5*n - 77 + 17, 47 = -2*n + 5*z. Let s(q) = -q**3 + 2*q**2 + 8*q + 4. Calculate n*s(w) - 2*v(w).\nAnswer: w**3 - 6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1113, -2215, -3303, -4371, -5413, -6423, -7395?\nAnswer: -8323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2470 (base 8) to base 3.\nAnswer: 1211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130c (base 16) in base 8?\nAnswer: -11414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89680 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.038 in -5, -0.3, -3\/62?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 67433323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:55 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.3636 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 24 = -0*w. Let j be (-3 - 18) + 5 + 6. Let o(a) = -3*a**2 - 5. Let t(c) = -2*c**2 - 3. What is j*t(s) + w*o(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r + 32. Let t(c) = -c**2 + 4*c + 39. Let o be t(-4). What is q(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 3*m**2 + m - 4. Let a be b(-4). Is 1*16 + (10 - a) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0 + r**2 + 2 + r - 6*r. Let a = -3 - -5. Calculate p(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2*(-2)\/(-16)). Let t(a) = -a**2 - 38*a + 317. Let p be t(7). Suppose -m*r + 4*n + 5423 = 3*n, n - 2719 = -p*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43407 divided by 819.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47681 is divided by 3227.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 5*x**2 - 27*x + 84. Calculate g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 8. Let f = -0.0596 + 3.0596. Which is the closest to -1? (a) 0.3 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4633 or -32426\/7?\nAnswer: -4633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v - 19*v = 36*v + 498 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 3:15 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 21*m**2 - 9*m + 52. Let g be d(-21). Is g greater than or equal to 241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*s - d, -d + 22 = s + 3*d. Calculate the remainder when 4 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:24 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (58\/(-116))\/((-7)\/42). Solve 3*o + 5*s = 5, x*o + 1 + 4 = 5*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951606 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 234 = -150. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(72) - (sqrt(72)*-1 + sqrt(72)))*3 + 5*5*(sqrt(200) + sqrt(200)*-2))*5)**2.\nAnswer: 1280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 949\/65)*(-66)\/9.\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16480.77s in nanoseconds?\nAnswer: 16480770000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106.7 + -106.53. What is the closest to 5 in -2, z, -1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616, -1226, -1836, -2446?\nAnswer: -3056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 - 401*s**3 - 3*s**2 - 23289*s**3.\nAnswer: -23690*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + 5*((4 + sqrt(325)*-2 + sqrt(325) + -3*(sqrt(325)*-4 + sqrt(325)))*-2)**2).\nAnswer: -1665284 - 25600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1658*o + 1657*o + 2 + 0 + 1 + 9.\nAnswer: -o + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 65129288?\nAnswer: -1\/32564644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6026 a factor of 71775686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -256?\nAnswer: -5\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6}. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -263.22 + 261. Let i = 2.3 + d. What is i rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 16 - 45 + 5*n)*(2 + 0 + 0).\nAnswer: 10*n - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7862\/5 - -1573. What is the smallest value in 1, i, -1012, 0?\nAnswer: -1012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 547085342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-70))\/(1 - (-51)\/(-42)). Suppose 10 = -6*m + y. Which is smaller: -2\/257 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5. Let l(o) = o**3 - o - p + 1 - 2 + 0 - 3*o**2. Let n be 0 - (3*-2 - -3). Determine l(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-150))\/(39\/780)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 264*p**3 - 28*p**2. Let z(c) = 48*c**3 - 5*c**2. Let o be ((-224)\/(-40))\/((-3)\/15). Calculate o*z(u) + 5*w(u).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**3 + 43*f**2 - 185*f + 1794. Give t(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -979, -964, -939, -904, -859?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5036807411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + -5*(2*sqrt(1300)*-2 + -5))*-5.\nAnswer: -2000*sqrt(13) - 230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aca when three letters picked without replacement from acvvvvcvaaaavvaa?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)\/d)\/(d\/(d*d*d**(1\/5))))\/(d\/(d\/(d\/d**2))*d*d\/(((d\/((d*d**4)\/d))\/d)\/d*d)*d))\/(d**(1\/13)*d**(-3)*(d\/d**(-1\/3))**(-22)) assuming d is positive.\nAnswer: d**(4769\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 121477 and -29688?\nAnswer: 151165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by (-12)\/8*-4*21\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 27\/11, 44, 3\/5, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127946359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or -282420.17?\nAnswer: -282420.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvvvvvvvhvhvvvvhv. Give prob of picking 3 v.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -18) + (5 - -7) - (-18 - -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 93180599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g = -2. Let i be 2\/8*4 - 2. Let w be -2 - (3 + -4 + i). Solve 0 = g*q - w*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444730879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = d + 12. Solve -5*q + 12 = -d, -4*f + 18 = 2*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -59) + 24 + -69 + 74?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6)\/(-3)*(-2)\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4334, -8655, -12986, -17333, -21702, -26099, -30530, -35001?\nAnswer: -39518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -1081*o**8\/84 - 2*o**5\/5 - 2*o**3\/3 - 203*o**2. Find the third derivative of l(q) wrt q.\nAnswer: -259440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 14*q - q + 23*q + 1776 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(4\/61)*-4. Suppose 2*k + 30 = 3*s + 5*k, 4*k = 24. What is the highest common divisor of x and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 36*s**3 + 2*s**2 - 4*s**3.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 22606 - 22617 = -4*r, 0 = 5*r + 5*f + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 34381.19509 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 9*x**2 + 10*x - 46. Give h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 265*y - 1980.\nAnswer: -5*(y - 44)*(y - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.2. Which is greater: t or 0.05?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341399033 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 20 = -128. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -19\/30*w**6 + 1\/4*w**4 + 0 + w**2 + 0*w**3 + 74*w - 1\/28*w**8 + 0*w**7 + 0*w**5. Find the third derivative of n(i) wrt i.\nAnswer: -240*i**3 - 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339877, -339869, -339861?\nAnswer: -339853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53a2010 + -1?\nAnswer: -53a2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 15) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -51, -0.1, 2\/11.\nAnswer: -51, -3, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**2 + 350*g + 190 - 7*g**2 - 175*g - 176*g to the form w + l*g + a*g**2 and give w.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahheeaahhaah. Give prob of sequence heea.\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 33. Let w = o - -1.708. Round w to two dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 1 - 9)*(-4*x - 2*x + 4*x).\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 418880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2. Let z(p) = -4*p + 2. Let l(f) = -10*f - 19. Let v(q) = l(q) + 10*z(q). What is g(v(s))?\nAnswer: 5000*s**2 - 200*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 22. Sort d, 1\/9, -2\/11.\nAnswer: -2\/11, 1\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + j**4 + 0*j**4 + (-2*j**3 + 3*j**3 + j**3)*(-2*j + 4*j + 0*j) + 5 - 5 - j**4 + (-j + j - j**3)*(3*j - 2*j + j).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7445 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 996\/10 + 12\/(-20). Suppose 3*m - q = 60. Round m to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145412311 and 1474.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 3172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (60\/(-50))\/(2\/(-135))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzf when three letters picked without replacement from {z: 14, h: 1, f: 2}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 97.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -17. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 - (129 + -117)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)*z**(-2\/7)\/z)\/(z**(-3)\/z**3) assuming z is positive.\nAnswer: z**(111\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/10 + 0)*5. Suppose -t = r*k + 11, 0*k = -3*t - 5*k - 29. Let j = t - -12. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*o + 16. Let f(u) = u**3 + 16*u**2 + u + 16. Let d be f(o). Find the second derivative of d*t**2 + 19*t + 3*t**2 - 10*t + 2*t**2 wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-2)\/(14\/7673). Let u be 136\/12*780\/(-8). Let j = u - z. Find the common denominator of j and 18\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4809 or -221151\/46?\nAnswer: -4809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 2, f: 1, o: 2, k: 1}. Give prob of sequence ood.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*(-528)\/(-198).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299761 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/76?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-11)*g)\/g*((g\/(g*g**(-9\/5)\/g*g))\/g)\/g*(g\/g**(2\/3))\/g**(-2\/13))**(11\/3) assuming g is positive.\nAnswer: g**(-22979\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4895\/3, -5, 2\/9, -23?\nAnswer: 4895\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**4 + 4*t**3 + 3*t**4 + 2*t - t**4 + 2*t in the form c*t**3 + r*t**2 + k + v*t + l*t**4 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*g + 372*g - 1496*g.\nAnswer: -1229*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6*u = -65. Let i = -29 + u. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*b - b - 6, -2*q - 4*b = 12. Suppose 4*r + 0 = -z + 4, -q*r + 3*z + 16 = 0. Let d(n) = -n - 2. Determine d(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 53 = -2*q, -4*z - z - 37 - 8 = -5*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 times -610.4?\nAnswer: -80572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1378, 2500, 3362, 3958, 4282, 4328, 4090?\n\"Answer: -o**3 - 124*o**2 + 1501*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/46 - -71\/322. Let w(s) = s**2 - 7*s + 6. Let y be w(6). What is the second biggest value in c, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -284 - -299. Suppose 3*n = r, -4*n + 7 = 3*q - 34. Solve 5*l = -3*m + 5, 4*l + 2*m - 41 = q*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbnhnnbnnb. What is prob of sequence nb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 2, f: 2}. What is prob of sequence ft?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000101312 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 550275 and 43516?\nAnswer: 94647300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 75 = 8*g. Find the third derivative of g*c**4 - 14*c**2 + 21*c**4 - 60*c**4 + 20*c**4 wrt c.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -60*k**3 - 3*k**2 - 11*k - 8. Let z be q(-1). Calculate the greatest common divisor of 660 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - (88 - 38)) + (54 - 1) + (1 - 2)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016887 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 + 387*z - 3311. Give b(8).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2500 and 5000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/20 and -127\/798?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 32 = 1. Let d be 0 + 1 + -3 + c. Let u be -12 + d - (-2 + -23). What is the highest common factor of u and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 223*o**2 + 11*o + 29. Is x(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 26 - (8 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide -9 + 20 - 48933\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17.77 and -10344511789.\nAnswer: -10344511806.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/(-84) + -1270*2\/(-14).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpbb when four letters picked without replacement from bbpbgbbbbbppbpl.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 times 32?\nAnswer: -8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 13. Let x be o(10). Suppose -7 + 43 = 9*c. Suppose -176 = -c*y + x*y. Calculate the greatest common factor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 20 = 2*g + 3*g, 3*m = -g + 28. Let h = 67 + -28. What is the remainder when h is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-11)))\/((c*c\/c**20*c)\/c))\/((c\/c**(-1\/5))\/((c\/(c*c\/c**(-6\/17)))\/c)))**(-2\/81) assuming c is positive.\nAnswer: c**(-1442\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -47251 (b) -48 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3)*(1 - 1). Let g be 24\/(-14) - 8\/28. Let j(r) = r + 1. Let n be j(g). Sort -3, n, s in descending order.\nAnswer: s, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a + 7. Let b(f) = 6*f - 7. Let x(m) = -13*m + 15. Let c(t) = -7*b(t) - 3*x(t). Let s(y) = y - 7. Let n be s(3). What is n*d(o) + 7*c(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b - 83. Suppose 11*s + 1080 = 970. Give x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -116? (a) -17 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from vmvvdldddvdvenlnvmnd?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/36 + 3088\/(-192)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = 2*g - g, 2*g = 2*u + 2. Let w be 4 + u - (0 - -3). Which is the closest to w? (a) 0.2 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3676.5 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57336, -61421, -65506?\nAnswer: -69591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1454*k**3*p**2*w**3 - 2*k**3*p**2*w**2 - k**3*w - 2*k**2*p*w**3 + 2*k**2*w + k*p - 10*p*w**2 wrt p?\nAnswer: 2908*k**3*w**3 - 4*k**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 11*k - 2. Calculate the remainder when t(8) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 2*i + 1. Let n be q(2). Suppose -2*v + 2*y = -38, v + 2*y = 32 - 1. Suppose -5*a = 8 - v, -4*g + 1 = -5*a. Is g >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -4*(-4)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4159, -14363, -30617, -52921, -81275, -115679, -156133?\nAnswer: -202637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54149 and 939.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 30 (c) -225321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.68 * -5.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 205.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Let s be 0*1*(0 + 1). Let i be s + r - (3 + -4). Solve i = 3*z + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 72*f - 10. List the prime factors of m(2).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 11:30 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 - 2*x**2)*(-24*x - 5*x + 0*x).\nAnswer: 29*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j - 3*j + 0*j)*(-2*j + 0*j + j) + 10667*j + 1 - 530*j**2 - 10667*j to u*j**2 + s + v*j and give u.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1947308.38 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 11 = -3. Find the second derivative of -7*n**q - 11*n + 6*n - 8*n wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4068.689906 + -4068.23. Let p = -17.46 - -17. Let o = p + k. Round o to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, x: 12}. What is prob of picking 3 f?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r. Suppose r*y = 3*y. Let s be y\/(-5 + (5 - 3)). Solve -l + s = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000657107 rounded to 6 dps?\nAnswer: -0.000657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -96*l**3 - 18*l**2 + 3*l - 4434. Let d(h) = -26*h**3 - 5*h**2 + h - 1267. Let p(n) = 18*d(n) - 5*o(n). Differentiate p(i) wrt i.\nAnswer: 36*i**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 5*c - 19. What is the remainder when 60 is divided by u(-10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Let p be s(1). Let x = p - 16\/7. Let q = 3 - 0. Which is the smallest value? (a) x (b) q (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 122910, 491614, 1106098, 1966362, 3072406?\n\"Answer: 122890*q**2 + 34*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b = -5*t - 2, -2*t = -2*b - 52. Let f(h) = h**3 + 26*h**2 + 48*h. Is 8 a factor of f(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -7. Let g(d) = d**2 - 1. Let h(a) = 9*a**3 + 3*a**2 - a - 4. Let q(o) = -2*o**3. Let t(j) = h(j) + 4*q(j). Let m(v) = i*t(v) + 2*g(v). Give m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 7515\/225 - (-1 + (-7)\/(-5))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153a03 (base 13) in base 11?\nAnswer: -327523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*x + 2*z, -4*z - 17 = -5*x + 7. Suppose -u + x*r + 9 = -8, 0 = -5*r - 20. Solve 0 = s - 0 - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3813 - 3090 - 11630 = -691*w + 38129 for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**5\/120 + p**4\/24 + p**3 - 1. Let n(t) be the third derivative of y(t). What is n(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 32 = 5*s, -s + 5*z = 4*z - 8. Suppose -f + y + 1767 = 0, -y = s*f - 3299 - 3779. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/(-2160))\/((-3)\/18*-20)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m - 4632. What are the prime factors of (m\/(-12))\/(-2 - 9\/(-6))?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 16 (b) 0.4 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 1:45 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -989.07 rounded to the nearest 10?\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-35))\/((((-8)\/(-4))\/(-14))\/((-4)\/536)).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 441690 = -m, -m + 4*w + 272024 = -169701. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -309.4?\nAnswer: 92.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**2 + 259*p + 260. What is the remainder when y(-30) is divided by 52?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-7))\/((-190)\/(-475)*(-2)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 13, a: 5}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82.95 + 2.05. Let l = r - 84. Which is smaller: -6 or l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*v - 247*v + 54*v + 64*v - 134*v to the form g*v + l and give g.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -655, 3 in decreasing order.\nAnswer: 3, 2, -655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 31. Let h(g) = g**3 + 16*g**2 + 3*g + 67. List the prime factors of h(o).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 102\/24 + 5\/(-20). Solve x*k - 8*k = 2*q - 18, 21 = 2*q + 5*k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13010451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.303 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-220)*(-4)\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -20 + w + 7 + 13. Let v(r) = 3*r - r - 3*r. What is j(v(c))?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*t + 2*t - t)*(3*t - 4*t - t) + t - t - 3*t**2 - t - 2*t**2 + t)*(8 + 21 + 1).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20309 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44209*y**4 - 497*y**3 - 18398*y**2 - 5650*y wrt y.\nAnswer: -1061016*y - 2982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*4*sqrt(121)*1*-3)\/(-1*((sqrt(5324) - (sqrt(5324) + sqrt(5324)*-1)) + sqrt(5324))))**2.\nAnswer: 225\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b - 7. Let c be h(3). Suppose 137 = c*w - 1183. Let p = w + -4753\/18. Find the common denominator of -115\/18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36593273 and 36593271 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, -26, -90, -200, -368, -606?\n\"Answer: -2*w**3 - 5*w**2 - w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 8:28 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 - 132 - 118 - 131 + 487 + w - 3*w**3 as t + h*w + k*w**2 + q*w**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8\/9 (b) -5 (c) 2\/17 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 3569*g**7\/210 - g**4\/12 + 203*g**3 - 2433*g**2. Find the second derivative of y(b) wrt b.\nAnswer: 42828*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-72)*5)\/((-5)\/60*9).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/10)\/(19\/(-608)*-42).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3837888040 - 0.2.\nAnswer: -3837888040.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 12:20 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24140 + 4?\nAnswer: 24144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/1)\/((3\/((-63)\/28))\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 269, 487, 601, 557, 301, -221?\n\"Answer: -9*l**3 + 2*l**2 + 275*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*u - 146*u - 118*u + (6 - 2 - 3)*(0*u + 3*u - u) in the form k + t*u and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3\/2*r**5 - 18*r**3 - 9\/2*r + 0 - 15*r**2 - 9*r**4 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 497843401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*q + 20. Let a be 203\/105 + (-2)\/q. Let s(w) = w**2 + 14*w + 14. Let k be s(-13). Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1695164 (base 14) to base 6\nAnswer: -1034132004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 7*t**2 + 4. Let x be u(7). Let s be (1 - (-9)\/(-5))*5. Put x, 3, s in increasing order.\nAnswer: s, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5737 divided by -325?\nAnswer: 5737\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -4*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24 + -18 - ((-242)\/2 + 1). Suppose 3205*g = 3212*g - v. Suppose -n - 2*n + 132 = 0. What is the least common multiple of n and g?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1879064)\/6 + (-4)\/6. Let g = c + 43178. Round g to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**3 - v**2 + 5*v - 15. Let f be k(4). Suppose -602 = c + f. Is (c\/(-3) - -1)\/((-2)\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71545809 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1463035 and 2835.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22c8a (base 16) in base 10?\nAnswer: 142474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 2987790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6943?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*7*(-15)\/9*(-4)\/10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*t - 242*t + 3690 = 0 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262 + 298 + 4*a - 2*a.\nAnswer: 2*a + 560","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -66, -58, -36, 6, 74, 174, 312, 494?\n\"Answer: j**3 + j**2 - 2*j - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}