diff --git "a/data/dm_maths/full_data_1/10333_11255.jsonl" "b/data/dm_maths/full_data_1/10333_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10333_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Add 0.2 and -63508173317.\nAnswer: -63508173316.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20, 166, 548, 1280, 2476?\n\"Answer: 19*g**3 + 4*g**2 + g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = -4. Let z(q) = -2*q + 9 - 1 - y. Determine z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 17*w - 160. Let v be o(-26). Let p = v - -601. Is p equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -406 + 220. Let g be (6 - v\/(-36))*24\/45. Solve 2\/9 + g*r**2 - 2\/3*r = 0 for r.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 3*u**5\/20 + u**3\/3 - 3*u + 2. Let k(a) be the first derivative of l(a). What is the second derivative of k(i) wrt i?\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 0*x**5 + 0*x**3 + 0*x**2 - 61*x - 19\/15*x**6 + 0 - x**4. Find the third derivative of c(k) wrt k.\nAnswer: -912*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980074394 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000395703 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 794, 1588, 2382?\n\"Answer: 794*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 4, j: 1, m: 5, y: 3, k: 1}. Give prob of picking 1 m and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u. Let l(x) = -136*x + 5. What is l(i(z))?\nAnswer: 272*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a + 15 = 0. Suppose -9 = 3*y - a. Let x be (2*y + -1)\/1. Does -3 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.35564ns in microseconds?\nAnswer: 0.07435564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82463801*s*z - 56*s + 527796 with respect to z.\nAnswer: 82463801*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15880334 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 <= -34646395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 3*o**2 - 5*o - 43. Let n be g(3). Sort -48, n, 13 in decreasing order.\nAnswer: 13, n, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 116\/(-10) + 15\/25. Let t(j) = j + 14. Let x be t(z). Let f be x*((-46)\/24 - -2). Are f and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 4}. Give prob of sequence oo.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/70*-20*9\/1512?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 1, n: 6, i: 6, m: 3}. Give prob of sequence nw.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 11*d - 28*d - 1.\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1570008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.13 - -12.13. Let k = 14 - r. Let q = 11\/28 + -3\/28. Sort -5, k, 0.01, q in decreasing order.\nAnswer: k, q, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 420546*o - 8*o**3 - 420546*o.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**8\/1008 + c**7\/210 - c**6\/360 - 7*c**5\/180 + 2*c**3\/9 - 5*c**2. Determine l so that p(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(432))*6 + sqrt(192)*1)**2.\nAnswer: 22188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6649511 - 0.3.\nAnswer: -0.9649511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25297*n**3*t**3 - 703*n**3 - t**5 + 17*t**2 wrt t.\nAnswer: -151782*n**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 5*k**2 - 7*k - 8. Let w = -2 - 2. Let z be t(w). Let o = 0.1 - 1.1. Which is the closest to -2? (a) 0.1 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/3 - 5*c**2\/2 + 10*c. Calculate q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*s**2 - 4927*s + 4927*s as w + t*s + n*s**2 and give n.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3244*y**4 + y**3 - 3*y**2 + 45371*y - 2 wrt y?\nAnswer: -38928*y**2 + 6*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*(1075\/(-160) + 7)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1275 - -1278. Let r = 13.1 + -2.1. Let w = r - 13. Which is the nearest to 0? (a) -18 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)*w)\/w*w)**(-1\/69)*(w\/((w**1*w)\/w*w)*w)**28 assuming w is positive.\nAnswer: w**(1\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 54*o**2 + 303*o + 4504. Give m(45).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2 + 5. Let c be (-2)\/a + (-115)\/(-35). Solve 2*l - 5*x - 18 = 0, -x - 13 = -3*l + c*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q - 4*d - 12, -57 = -4*q + 5*d. Solve 0 = -q*v + 5*v + 2*a + 9, 0 = v - a - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 45, 98, 173?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*z**4 - 16*z**3 + 3047*z**2 + 1770029.\nAnswer: -68*z**3 - 48*z**2 + 6094*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 419764 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**6\/3 - 4*z**5\/5 + 2*z**4 + 4*z**3\/3 - 3*z**2 - 24. Find u such that l(u) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244*z**2 - 503*z**2 + 258*z**2 - 302*z**3 + 2 + 119*z**3 - 249*z**3 to the form o + y*z**3 + b*z**2 + t*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**2. Let f(h) = -2*h**2 - 14387491*h. What is f(x(t))?\nAnswer: -50*t**4 + 71937455*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*g - 4256*g**3 + 77*g - 11529*g**3 - 2.\nAnswer: -15785*g**3 + 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -w + 54. Put 4, w, 3, -6 in descending order.\nAnswer: w, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n\/n**(-18))\/(n**(-6)\/(n*n\/n**8)) assuming n is positive.\nAnswer: n**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -183 (base 10) to base 16\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.81 + -0.19. Let z = 0.062 - -5.238. Let w = z - -1.7. Sort v, w, -5.\nAnswer: -5, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5040000 rounded to the nearest 100000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*q**5 + 2*q**2 - 106.\nAnswer: 6300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1\/5, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 294*c**2 - 13*c**3 - 19*c**3 + 2 + 150*c**2 + 41*c**3 - 10*c**3 to the form f*c**2 + u + n*c**3 + h*c and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 21, -0.1, -2, -12, 3\/8 in descending order.\nAnswer: 21, 3\/8, -0.1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b67 (base 15) in base 8?\nAnswer: -71604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -63789 < -63787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**3 - 2*o**3 + 4*o**3 + o**2 + 3*o**3 wrt o.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)\/((-3)\/((-24)\/16)). Let f(g) = -g**2 + 12*g + 2. Let i be f(12). Let s(y) = -i*y + 0*y + 5 - 1 + y. Calculate s(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(2*sqrt(2057) + sqrt(2057) + -1)**2.\nAnswer: -66*sqrt(17) + 18513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24261 + -3?\nAnswer: -24264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = 2*k, -k + 8 = -5*a - 1. Let n = k - 1. Suppose z + 8 = -n*z. Let m(b) = -b - 2. Determine m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1279.91 + 1272. Round h to one decimal place.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5891 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.18 + 0.18. Let k = u - -6. Which is the nearest to k? (a) 0 (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/11, -2, -5, -430500, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 1. Let t(d) = 13*d**3 - 3*d - 3. Give 3*k(j) - t(j).\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/90 + 1\/(-3). Solve y + 10 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 8*n - 6. Determine v(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/6 - 25*g**3\/6 - 4*g**2.\nAnswer: -g**2*(g + 1)*(g + 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 40 = -4*o, 15 = -o + 4*o. What is the nearest to 0.1 in 0.1, x, -2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.2. What is the closest to 1\/3 in -0.5, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*u - 55, -2*u + 8*k - 10*k + 24 = 0. Suppose -6 = -2*b, -2*b = 3*p - 27 - 18. What is the greatest common divisor of u and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/17 (c) 4 (d) 0.13 (e) -3\/4 (f) 47 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-28)\/12 + 2). Solve -c = -r*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:53 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244802, -489598, -734390, -979178?\nAnswer: -1223962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7034, -14432, -22196, -30326, -38822, -47684?\n\"Answer: -183*f**2 - 6849*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*z + 17, 4*z = -4*x + 3*z - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 25*b**2 + 18*b + 58. What is c(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 2 + 44)*(11*w**3 - 15*w**3 - 18*w**3).\nAnswer: 792*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 + m + 4. Let t be z(-4). Suppose -2*c = 4*d - 7*c - t, -16 = -d - 5*c. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.05 and -47\/249 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -1\/12*w**4 + w**2 - 1\/3*w**3 + 0 + 11*w. Suppose -3 = -2*y + 2*t + 7, 2 = 4*y + 2*t. Give p(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 10 + 7 = 0. Let v = 7 + y. Suppose 0*x - 2 = -x. Solve 0 = s + x*s - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925*k**3 - 750292*k**2 + 750292*k**2.\nAnswer: 925*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05023 rounded to 3 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*y + 4 = 0, 0 = u - 0*y + 2*y - 1. Suppose 10*r - 13*r + 72 = 0. Let w(v) = -30*v + 1 + 59*v + 0 - r*v. Calculate w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15\/7 + -68\/35. Let x = 0.04 - 3.04. Put x, -0.2, u in ascending order.\nAnswer: x, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from kkkkkzzkzkkkzk?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -63063, 31, -2, -5 in increasing order.\nAnswer: -63063, -5, -2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u + 627 = 752 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 22 = -48. Let a(s) be the first derivative of 13*s**3\/3 + 3*s**2\/2 - 2*s - 1. Let u be a(2). Calculate the highest common divisor of d and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 7:30 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 j, and 1 z when three letters picked without replacement from fencfzzj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202102210000202202 - 1?\nAnswer: -2202102210000202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 2*y**2 - 2*y + 1. Let i be p(3). Let u(h) = 2*h - 12. Let b be u(10). Let g = b - i. Solve 0*c = 4*c + g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y**3 - y**2 + y - 1. Let r be u(1). Is 72 + 3*3\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 5, i: 1, v: 3, p: 1}. What is prob of sequence iv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.95 + 14. Let a = 0.05 - j. Is a less than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 19*f + 20. Let s be z(-18). Let a(t) be the second derivative of t**3\/6 - t**2\/2 + 3*t + 1. Determine a(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + j**2 + 0)*(1 - 3 + 3) + 10*j**2 - 9*j**2 + 48*j**2 to the form v*j + i*j**2 + z and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/6480919?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2724538, -2724519, -2724500, -2724481, -2724462?\nAnswer: -2724443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21\/61 (b) -3 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6809833390?\nAnswer: 2, 5, 7013, 97103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 9*r + 1824 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 6*y**2. Let n = -214 - -337. Let x = 117 - n. What is d(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 71866754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) -27 (c) 123 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42152 - -66045. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + 2*h**2)*(h + 4*h + h) + 3*h**3 - 2*h + 2*h.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and (-1)\/(-3 - -2)*16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30483\/18 - (-1)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -72.39 - -70. Let n = u - -4.58. What is n rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416025.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.3677 and 0.047.\nAnswer: -2.3207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2801 + 7733. Suppose 4*u + 2056 - c = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*x**4 - 32*x**4 - x**4)*(-4*x - 5*x - 6*x) + 3*x**3 + 29*x**5 - 30*x**5 - 2*x**3.\nAnswer: 794*x**5 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 4. Let s(c) = -3 - 5 + 3 - f*c + 4*c**2. Let j(k) be the first derivative of 7*k**3\/3 - 15*k**2\/2 - 9*k + 3. Give -6*j(p) + 11*s(p).\nAnswer: 2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 less than 0.0373936?\nAnswer: -546.9626064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -178 - -219. What is the greatest common factor of 287 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48240 rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4877957063 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:27 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18 + 689\/(-585) + 1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.18 (b) -2\/5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 589984099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 23, 63, 137, 257, 435, 683?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d - 91. Let v be ((-84)\/(-2))\/(10\/(-15)). Let w = v - d. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7587963 - -80?\nAnswer: -7587883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1125*u - 2016. Is 9 a factor of k(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 587*k. Let w(p) = -5091*p**2. What is w(l(c))?\nAnswer: -1754200779*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8624.46 + -8440. What is z rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.0822 - 0.0822. Let g = -0.7 + 115.7. Which is the closest to 1? (a) g (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1930*j - 13918 - 15842 = -7143 + 14053 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124722?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16535164 - -4?\nAnswer: -16535160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/149856 and -55\/64224?\nAnswer: 449568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-15)\/(-20) + 130\/(-50). Let 0 - v*h + 4\/5*h**2 - 2\/5*h**3 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11240 - -30586. Does 34 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 38*w + 9*w - w = 0. Solve -15*l + 10*l + 20 = w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*z**2 + 2 + 59994*z**3 + 1 - 59996*z**3)*(-2 - 3*z + 2) - z**4 + 5*z**4 - 2*z**4 as s*z**4 + n*z + l*z**2 + c + q*z**3 and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-2\/3)))**0)**(11\/2)*(o*o**4*o*(o**0\/o)\/o*o)\/((o*o**(2\/3))\/(o*o**(-6)*o)) assuming o is positive.\nAnswer: o**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 13. Let s be 0 + 1*(f - 0). Suppose -5*v = p - 9*v - 15, -2*v = s*p - 45. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3\/9 - 17*g**2\/9 + 14*g\/9 + 8\/9 = 0.\nAnswer: -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**6\/120 - u**5\/30 - u**4\/4 + u**3 - 2*u**2. Let b(h) = 340*h - 3396. Let q be b(10). What is g(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 74*v + 21. Is m(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 n, and 1 h when four letters picked without replacement from {e: 4, q: 3, n: 2, g: 2, h: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (108\/(-56) + 4\/(-7))*(-5 - -3). Let f(w) be the third derivative of 0 + 5\/84*w**4 - 1\/7*w**3 - 1\/210*w**t - 1\/420*w**6 + 0*w + 6*w**2. Solve f(b) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 400, -48, 13, -3 in decreasing order.\nAnswer: 400, 13, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 2*-0.03121\nAnswer: -0.06242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 388 + -365. What is the remainder when 26*(25\/2)\/5 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 77. Suppose -p = 0, -4*n + j*n + p = 754. What is the highest common divisor of n and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -19*q - 55. Let b be x(-3). Suppose -396 = -b*c + 152. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1*(-4 + 1648\/416)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1305)\/(-11020)*(-50)\/(-15)*4\/(-10)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -10*169\/26.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -15. Let n = -3 - p. Put n, 0.2, -0.2 in increasing order.\nAnswer: -0.2, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -479421.8 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1003, 2007, 3011, 4015?\n\"Answer: 1004*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(78)\/sqrt(150) + sqrt(1872)*-3 + sqrt(13) + -3.\nAnswer: -169*sqrt(13)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + o**2)*(-5*o - 4*o + 3*o) + (163 - 163 - 46*o)*(2*o**2 - 3*o**2 - o**2).\nAnswer: 86*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:29 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/q)**(-14\/5)\/((q*q*q**(-5))\/q**(5\/3)) assuming q is positive.\nAnswer: q**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 8\/5 (c) 15 (d) -1\/5 (e) -70.4 (f) 1 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24304 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.505049 centuries?\nAnswer: 0.3505049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-660)\/(-1595))\/((-58)\/1682)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618, 1573, 2528, 3483, 4438?\nAnswer: 5393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.96. Let r = 123.8 - 123.7. Is r at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 + 6*y**3 + 0*y**3 + ((0*y - 2*y + 0*y)*(-4*y - 3*y + 5*y) - 4*y + 2*y**2 + 4*y + y**2 + 0 + 0 - 3*y**2 - 6*y**2 + 4*y**2)*(23*y - 18*y + 23*y).\nAnswer: 59*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-30)*(-4347)\/(-252)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + 0.06. Let m = -9 + 5. Let p = m - -6. What is the closest to q in 0, p, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -72. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + 0 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12. Let r be j + 1 + 0 - (-2)\/1. Suppose -4*m + r*k = -60, 0*m - 2*m + 2*k + 30 = 0. What is the least common multiple of 18 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5280458 is divided by 2640157.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-14) + (-2)\/(-532)*-19 - -31.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l + 56. Let n be j(-17). Solve -10 - n = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6708, -52761, -177498, -420261, -820392, -1417233, -2250126, -3358413?\nAnswer: -4781436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {g: 2, m: 9, w: 4, b: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.25?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (-2 - (-4)\/(-4)). Put -0.3, 0, q in ascending order.\nAnswer: -0.3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 7*u - 15. Suppose -5 + 29 = d. Solve -2*w - 2*x - 12 = -0*w, -2*w - d = u*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.026, 2\/13, -0.5.\nAnswer: -0.5, -0.026, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 247\/(-76) - (-567)\/140?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 164728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 19 = 4*h, 3*u + 42 = 7*u + 2*h. Solve 8*o = u*o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and 1764.\nAnswer: -15876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, 3, -0.1, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 3 - 3 - 23*z**2 + 19*z**2 + 1. What are the prime factors of u(7)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - 29. Let p(i) = 10*i**2 + 45*i + 22. Let s(f) = -22*f**2 - 88*f - 45. Let k(z) = -9*p(z) - 4*s(z). Let w be k(-27). Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 169\nAnswer: 10\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, -54, -508, -1148, -1974, -2986, -4184?\nAnswer: -5568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*w**6 - 9561733*w**5 + 321123*w**2 + 315*w.\nAnswer: 3000*w**3 - 573703980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/48*(-6)\/(-7))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 10*r**6\/3 + 52*r**5\/5 + 11*r**4 + 4*r**3 + 174. Determine k, given that t(k) = 0.\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 11) in base 6?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 32 = 41. What is the third derivative of -38*i**2 - 196*i**2 - 267*i**u - 17*i**2 + 17*i**2 wrt i?\nAnswer: -1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 = -4*m - 3*o, 2*o + 182 = -3*m + 504. Calculate the greatest common factor of m and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079063624?\nAnswer: 2, 3, 11, 379, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-60) + ((-55)\/(-12))\/(-5)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 30, 0, -8 in ascending order.\nAnswer: -8, -2, 0, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 10*r - 8. Let d be a(6). Let g = d + -39. What is the nearest to 1 in g, 0.1, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.18861 to two dps.\nAnswer: 2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*f + 8. Suppose l - 2*q + 19 + f = 0, 2*q = -2*l - 30. Let a = l + 31. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17046*r**2 + 0*r - 17047*r**2 + 38*r)*(-3*r**3 + 4*r**2 - 4*r**2).\nAnswer: 3*r**5 - 114*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19287455864870 + -3.\nAnswer: -19287455864873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6905945 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.84 + 0.09. Let k = 0.78 + v. What is k rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -12. Suppose 0 = -2*h - t - 21. Does 7 divide (-5 - -2)\/(3\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1738588\nAnswer: 1\/434647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10612 - -10605. Let f(l) = -3*l - 2. Let r be f(-2). Sort -1\/7, u, -4, r in ascending order.\nAnswer: u, -4, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 37*y + 41*y + 69 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 11*d + 4. Let a be m(11). Suppose 5*b - a = 3*b. Is 15 a factor of b\/8 + (-444)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949304869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3594 is divided by 262.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2104*(3\/((-30)\/4) - (-5928)\/9120)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 26022079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**47\/(x**9*x**(-2\/3)) assuming x is positive.\nAnswer: x**(257\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1160 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-6*1\/(-2). Let a(t) = t**3 - 8*t**2 - 4*t - 4. Let m be a(g). Suppose m = y - 56. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - -b?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 4, 15, 1, 5, -74 in descending order.\nAnswer: 15, 5, 4, 1, 0, -7, -74","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29559606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.12788um in millimeters?\nAnswer: 0.01012788","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -88, -195, -344, -535?\n\"Answer: -21*u**2 - 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3790 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 48915.\nAnswer: 391320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42414 + 86466 = 950*n + 29130. Let j(w) = w**3 + 4*w**2 + 3*w + 3. What is the remainder when n is divided by j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305.2201*-0.02.\nAnswer: 6.104402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o. Let v(n) = 81*n - 335446. Determine v(l(q)).\nAnswer: 324*q - 335446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 + 27*h**2 + 41*h + 6. Suppose 3*s + 180 = 6*s. Suppose 0 = -2*m - m + s. What is the least common multiple of v(-4) and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-23)*(x**(6\/17)\/x)\/x*x*x*x\/((x\/(x**(-2\/29)*x))\/x)*x**(-4\/7)*x assuming x is positive.\nAnswer: x**(-70012\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65791 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1c85e (base 15) to base 16\nAnswer: 16b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11160 and 135658170.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 657 or 658?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 688.\nAnswer: -1\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11195, 22345, 33455, 44507, 55483, 66365?\nAnswer: 77135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 669623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Let b be 10\/j*(-148)\/10. Calculate the common denominator of (b\/(-12))\/((-10)\/3) and -21\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-73)\/(-219))\/(8\/(-3) - -1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 5*l + v + 5, l = -2*v. Let g = 0.45 - -0.55. Let f = -0.35 - 0.05. Which is the biggest value? (a) f (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 y when three letters picked without replacement from wyyswoowwyfyfw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4)*1*-38 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408631742 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/12 - z**3 - 33*z**2\/2 + 15*z. Let y be s(9). Let a be ((-4)\/y + (-20)\/12)\/(-1). Solve 2 = -c - a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 1.577.\nAnswer: -0.17347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -1 - (-7 + -3). Suppose -i - q = -31. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -502 or -516?\nAnswer: -516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 39 = 8*s, 0 = -2*s + 4677*r - 4682*r + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 95*d + 6. Let k be u(0). Solve 5*i = 3*w - 13, -4*i + w - k = 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d - 2. Suppose 6 + 14 = -2*g. Let a be (-5)\/g + 39\/2. Suppose -j = -y - 4, j - 5*y - a = 3*j. Determine f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bk when two letters picked without replacement from {u: 1, k: 5, c: 1, t: 1, x: 3, b: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1723706175 + 1076866175. What is v rounded to the nearest one million?\nAnswer: -647000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721658960.\nAnswer: 2, 5, 11, 820067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1)*60\/8. Let f be (-5)\/k + (-12)\/(-9) + -3. Let r be 31 - (f + (-9)\/3). What is the highest common factor of r and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/8 and -73\/369850.\nAnswer: 1479400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 12*a = 65. Suppose -a*b = -5 - 0. Solve -2*o - 4*t = 0, -2*t = -o + b + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316475.\nAnswer: 5, 12659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + o**2 - o**2)*(-208*o + 189*o - 35 + 209 + 120) to b + q*o + c*o**2 + x*o**3 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494801.\nAnswer: 37, 43, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002043641 to 7 dps.\nAnswer: 0.0002044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 14. Let z = -0.2 + -0.1. What is the second biggest value in 5, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12733420 a multiple of 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 7*m + 11. Let d be w(-5). Let k = 7 + -4. Which is the third biggest value? (a) k (b) d (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3095824cm?\nAnswer: 3095824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123 or -1102\/9?\nAnswer: -1102\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 615290028 to the power of 1\/2, to the nearest integer?\nAnswer: 24805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(sqrt(76) + sqrt(76)*5*-3))\/(sqrt(28)\/(sqrt(7) - 2*(sqrt(7) + sqrt(35)\/sqrt(5)))) + 1.\nAnswer: -168*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1\/((-27)\/(-18))*135 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 138799, 139246, 139993, 141040, 142387, 144034?\n\"Answer: 150*v**2 - 3*v + 138652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 19*p**3 - 6*p - 3. Suppose 85 = -3*b + 8*b. Let l(n) = 56*n**3 - 17*n - 8. Let u(g) = b*q(g) - 6*l(g). Find the first derivative of u(s) wrt s.\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 0 + 2 + 4. Suppose 4*c - 2*c = 2*j - 24, 2*j - c - 22 = 0. Calculate the highest common factor of z and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 782367\/(-220495) + (-36)\/(-60). Let c = -2\/2321 - z. Let l = c - 1181\/304. What is the common denominator of l and 91\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*4*15\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 12:03 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 15041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614311323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2. Let n(g) = 7999 - 4*g - 7999. Give c(n(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -54. Let y be (1 + -26)\/5 + 3. What is the remainder when r is divided by 147\/21 + 6\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 2*p - 630. Let l be k(0). Round l to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 1 - (565 - 611)) + (-1 - 0) + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q + 0*q**5 + 0 - 1\/24*q**6 - 1\/3*q**4 + 0*q**3 - 5*q**2. Find the second derivative of t(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1274636658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/(2\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 133*f**2\/3 - 378*f + 744.\nAnswer: -(f - 124)*(f - 6)*(f - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 + 0 = 3*b, -b - 8 = -5*s. Suppose 0*d - b*d = 3*c + 15, -4*d - 25 = 5*c. Solve 1\/2*u**5 + 1\/2*u**2 + d - 1\/2*u**4 + 0*u - 1\/2*u**3 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - 271*40\/(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-1 + (-32)\/(-20)). Suppose -f = 2*w + 4*c, 0*w - 5*w = 3*c + 4. Let g = 5 + -7. Sort -5, w, g in descending order.\nAnswer: w, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3089 is divided by 3019?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -5. Let y = 11 - m. Let p = -2902.1 + 2902. Which is the third smallest value? (a) p (b) -1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30204 + 341?\nAnswer: 31100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 0.2 (c) 10 (d) -7 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 115*q**4 - 9848250*q**3 + 210838400960*q**2 + 220015583130*q + 9167333805 = 0.\nAnswer: -1, -1\/23, 42819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*s - 1. Let j be s\/2 + (-37)\/(-2). Suppose -2*v - 10 = 4*h, 3*h = 2*v - j - 7. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72732 divided by -2?\nAnswer: 36366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4723, 4748, 4797, 4876, 4991, 5148?\n\"Answer: q**3 + 6*q**2 + 4716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022755 rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 47*f**2 + 2*f + 98. Let k be m(-47). Solve k*t + 10 - 26 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9201 >= -9201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iisiiisoss?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011001101000100100 (base 2) in base 12?\nAnswer: -264204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2340479 is divided by 780156.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {k: 1, f: 1, y: 8, x: 1, b: 2, p: 7}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4090 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 0*c - 3*c + (0 + 1 - 2)*(c + 0*c - 2*c) + 2*c + 1 - 1 - 3.\nAnswer: -3*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 541456141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -15 + (13\/(-2) - (-464138)\/48756).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288996921.\nAnswer: 3, 32110769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 3 - 5 - u**2 - 2*u**3 - 4*u**3)*(0*u + u + 2*u) in the form t*u**2 + r + z*u + o*u**4 + a*u**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 17177*b**2 + 17188*b**2 + 2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-12)\/h)\/(h*h\/h**2))\/(h\/(h*h**(-3\/2)))**33 assuming h is positive.\nAnswer: h**(-125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3\/3 - 17100*b**2 - 34205*b - 51310\/3 = 0 for b.\nAnswer: -1, 10262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - ((-3)\/15 - 1139\/255). Calculate the greatest common factor of 796 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*m - 1 - 9 = 0, 5*r - m = 2. Suppose -2*q + 264 - 85 = 3*x, r = x - 4*q - 55. Suppose -15 + x = 4*g. What is the remainder when 38 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285.9 - -290. Which is smaller: m or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 193636*u**2 + 155101*u**2 - u.\nAnswer: 348737*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1887654474 to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h + 585 = 4*y, -4*h + 4*y + 504 = 0. Let p = h - 76. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6162237722.\nAnswer: 2, 31, 43, 2311417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 61a15d (base 15) in base 10?\nAnswer: 4640938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.6124183ns in weeks?\nAnswer: 0.00000000000012336709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.568625 - 1991?\nAnswer: -1994.568625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1652.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*g + 82*g + 44*g)*(-5*g + 5*g + g)*(-23 + 26 - 10) to c*g + o*g**2 + i and give o.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3*w + 809*o**3 - 2*o**2*w**2 + 2*o**2 + 13*o*w**2 + 27181*o*w wrt o.\nAnswer: 12*o*w + 4854*o - 4*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 417278713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 450804109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*j + 83*j + 91*j + 91*j - 347*j - 189 in the form s*j + f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 26. Let y(a) = 128*a + 822. Calculate the remainder when y(-6) is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*m - 2 = 34, -4*j - 5*m + 88 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 169.884929 and -0.2.\nAnswer: -33.9769858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*u - 30, -3*u - 20 = -0*u + 2*s. Let r = u - -9. Let f(m) = m - m + 5*m**2. Determine f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 0*k**3 + 4*k**3 + (11*k + 38*k + 26*k)*(-2*k**2 - k**2 + 2*k**2) as d*k**2 + g*k + m + p*k**3 and give p.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -m + 5*m. Let k be ((-2)\/(-7))\/((-4)\/(-56)). Suppose 4*j = 3*h + 236, -2 = 2*j + k*h - 142. What is the remainder when j is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -19*q + 3 + 6 + 17*q. Let t be p(6). Is 8 a factor of (-12)\/18 - 50\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100000111000001 (base 2) in base 7?\nAnswer: -1154132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 27 + 7 + -1 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4154*550\/20*(-2)\/(-10)?\nAnswer: 11, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19 - -4) + 10 + 144\/29. Which is greater: w or -21?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*2\/6*(-44880)\/1020?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -105, -302, -667, -1254, -2117, -3310?\nAnswer: -4887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (6 - 0)) + (-26 - -31).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -379*u - 3041. What is k(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let y be 1 - (8\/1)\/(-2). Let k = p + y. Solve -2*h = -k*r + r + 20, -h - 5*r = -20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/239, -1\/6, -16?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21082 and 37592?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - x = -4*x + 9, 35*a + x - 2552 = -2442 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 522660 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: Let l(b) = b**3 - 5. Let n be l(0). Let h = -3 - n. What is the third derivative of 2*w**6 - 2*w**2 + w**h - 5*w**6 wrt w?\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**3 - 5*p**2 + 7. Suppose s + 38 = 2*g + 40, 0 = -s + 3*g + 1. Let x(j) = 11*j**3 + 11*j**2 - 15. Determine s*x(w) + 9*f(w).\nAnswer: -w**3 - w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1191 and 15666017?\nAnswer: 46998051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 23 = -3*n - 1, -n - 4*v = 0. Suppose -5*p + n - 3 = 0. Suppose 0 = -7*l + 5*l. Sort l, p, -3.\nAnswer: -3, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558 - 554 + 34*o + 2237 - 557 - 553.\nAnswer: 34*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3734*l - 61 + 1848*l + 1867*l)*(3 - 3 + 1)*(4*l - 4 - 2 + 4) to s + z*l + x*l**2 and give x.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-4)\/(-24)*3. Solve 5*b - j*b = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnep when four letters picked without replacement from ewspsnjp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 4*m. Suppose c + 17 = 6*c - a, -3*c + a = -11. Let p be l(c). Solve -t + 5*f = -3, p*t + 2*f - 5 = -13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -335*t**2 + 4177*t - 12533. What is l(3)?\nAnswer: -3017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -91647, -91633, -91615, -91593, -91567?\n\"Answer: 2*m**2 + 8*m - 91657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -3.6. Suppose 2*h - 12 = -4. Suppose -h*u = -0*u. Which is the third biggest value? (a) u (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4. Let i(z) = -3*z + 16. Let x be i(6). Let y be x\/(-6)*(-2 - g). Solve 2*r = -4 - y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -74 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014727 rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2145\/9 - (-8)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = a - 8. Let j be (a\/(-3))\/(-1) + 2. Factor -5\/3*o**4 + 0*o - 7\/3*o**5 + 0*o**2 + j + 2\/3*o**3.\nAnswer: -o**3*(o + 1)*(7*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 n when four letters picked without replacement from nrnniininiiinnirin?\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17887 - 17897. Which is the biggest value? (a) 3 (b) f (c) -0.07 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 7 = 5*s, -6 = -r + 4*s. Calculate the lowest common multiple of 14 and (11\/1)\/(r\/4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m + 12*m**2 - 18*m to the form i*m**2 + b*m + r and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*y - 5*p - 5, 0 = 2*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 407*j - 2435. What is d(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/2)*d**0*d**(-10)*d**(-8\/3)\/d assuming d is positive.\nAnswer: d**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x)**14 assuming x is positive.\nAnswer: x**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008966 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -21. Let v(m) = -m**2 + 14*m - 3. Let f be v(6). Suppose -3*h - 38 + 15 = -w, 5*w - h - f = 0. Solve w = -4*y, o + 3 = -y + s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228718064 and 32528.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, 0.1, -3, -0.1, -6, -2\/15?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let r = l - -24. Suppose -5*q + r = -548. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -948 - 611*b**3 + 948 + (2*b**3 - 2*b**3 - 2*b**3)*(-1 + 1 + 1) - 5 + 5*b**3 + 5.\nAnswer: -608*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*o**3 + 62*o**3 + 4*o**3 + (2*o - 4*o - o)*(-o**2 + o**2 + 2*o**2).\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8)**(6\/17))**(1\/35) assuming h is positive.\nAnswer: h**(48\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.1287 nanograms to grams.\nAnswer: 0.0000000331287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v**2 - 32 + 77 - 36 + 39*v = 0 for v.\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2787 + -2742. Calculate the highest common factor of u and 750.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39994238 less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o + 4. Let x be o*1\/2 - 3. Solve x*t - 13 = -4*q + t, 5*t = -2*q - 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2264 divided by 4.\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31085236.\nAnswer: 2, 7, 13, 23, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-17)*q**(-1\/2)*(q*q\/q**(-2\/13)*q*q*q)**49 assuming q is positive.\nAnswer: q**(6111\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*a**2*v**2 + 2*a**2 + 2*a + 71*v**2 wrt a?\nAnswer: 136*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, c: 4, f: 4}. Give prob of picking 1 u and 1 f.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**6\/15 + 4*o**5\/5 + 3*o**4\/2 + 2*o + 14. Factor l(a).\nAnswer: -2*a**2*(a - 9)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-6) + (-3)\/9. Suppose -g*b = 3*b. Let z = 8 - 7.9. What is the closest to b in -5, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**2 - 1. Let k(h) be the second derivative of -h**4\/3 + 3*h. Give n(k(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 110, 8533 in descending order.\nAnswer: 8533, 110, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-40)\/(-24) + (-942)\/198\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 5203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 1. Let f be y(0). Let m = -3\/10 - -1\/20. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x**5 - 10265*x**4 + 669250*x**3 - 4419640*x**2 + 5835360*x + 7148160 = 0. What is x?\nAnswer: -3\/4, 4, 68, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - 3*d - 2*d)*(-4*d**2 - 26 + 43 - 25) as a*d**3 + q + b*d + o*d**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-18))\/((-30)\/28 - -1). What is the units digit of 2\/t - 15712\/(-112)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + 87. Let t = -109.1 + i. Let o = -19 + 37\/2. What is the closest to t in o, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, a: 1, u: 2, s: 1}. Give prob of sequence uu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyww when four letters picked without replacement from ycyyyycwwyccyywy.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 1539*m**2 - 3285741*m - 51240 = 0.\nAnswer: -8\/513, 2135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12990 - 13011. Let n(a) = -a**2 - 18*a + 45. Give n(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3782 + 13376\/3. Let m = -676 + g. Which is the nearest to 8? (a) 1\/8 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1078*t**2 + 1055*t**2 - 1691*t**2. Let u(z) = z. Give u(g(s)).\nAnswer: 442*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**6\/120 - a**5\/15 - 7*a**4\/4 - 10*a**3\/3 + 202*a**2. Let q be k(18). What is q rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = -5*y + 5*d, 10*d = y + 6*d + 78. Let v = -284\/3 - y. What is the closest to v in -0.5, 1\/13, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -3*h**7\/7 - 178*h**6\/15 - 646*h**5\/5 - 2012*h**4\/3 - 1408*h**3 + 1152*h**2 + 280*h + 7. Determine m, given that w(m) = 0.\nAnswer: -6, -4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 9 + 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 10*x**2 - 9*x - 13. Suppose 176 = 6*u + 230. Give f(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 32 = 4*n, 5*n = -106*v + 111*v - 35 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35802 and 7216092.\nAnswer: 64944828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/(-39)*-1)\/((-84)\/2457*(-20)\/32).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.91 * 6.213\nAnswer: -5.65383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188 - -550. Suppose -6*p + 4*p = -j. Suppose p = 11*x - 50. Calculate the greatest common divisor of x and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -292, -296, -302, -310, -320, -332, -346?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4)*(-19 - 8 + 0)*(88*l**2 - 36*l**2 + 40*l**2).\nAnswer: -2484*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, k: 1, i: 6}. Give prob of picking 2 z and 2 i.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -31. Factor 4*m**2 + 2*m - 8*m**3 - 3*m**2 + o*m**3 - 1.\nAnswer: -(m - 1)*(m + 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*h + 280*h + 9072 = 178*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -226*f**2 - 6 - 222*f**2 + 449*f**2 + 9*f. Suppose 4*q = -0*q + 8, 2*o + 36 = 5*q. What are the prime factors of t(o)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/(-5) + 12\/15. Let w(r) = 4*r**3 - 2*r + 2. Let p be w(-3). What is the tens digit of f\/((-14)\/p) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 5\/6 + (-1)\/(-2). Let q = 10\/3 + h. Factor -q*x**2 + 0 + 2\/3*x.\nAnswer: -2*x*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3776369 and 5?\nAnswer: -1.8881845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010010011000110011001 (base 2) in base 5?\nAnswer: -2211444300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 226*t + 12570. Determine f(-272).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57 in -0.08, -21, -3\/2, -4\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t - 21*t - 4186 = 0. What is the remainder when 748 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 2:52 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56414 - 23883. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10057\/13 - 771. Let q = o - 269\/78. What is the closest to -6 in 2\/9, q, 3\/8, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-847127.\nAnswer: -5082762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 3)*(-2 + 2 - 2*x) + (-2*x + 5*x - 2*x)*(4 - 2 + 0) - 12 + 13*x + 12)*(5 + 0 + 1)*(2*x - 4*x + 0*x) to g*x + n + f*x**2 and give f.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/3*30\/16. Let z = -29\/10 + f. Does 2 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**5 - 4*u**3 + 795*u**2 - 1957*u + 83?\nAnswer: 20*u**3 - 24*u + 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -95, -359, -799, -1415, -2207, -3175, -4319?\n\"Answer: -88*m**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111 - -100110010100100?\nAnswer: 100110100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 5)*(-4 + 4 - 2*d + (2*d + 1 - 1)*(-1 - 4 + 0)).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 77?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -15 + 3 + -26?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 20*g**2 + 20*g + 37. Let j(h) = h**2 + 2*h - 3. Let t be j(-4). Suppose t*u - 377 = -117. Calculate the remainder when u is divided by y(-19).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3111795*y**2 - 6223613*y**2 + 3111834*y**2.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/7 + 424*i\/7 + 22472\/7 = 0.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.45.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11807 at least -1\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3872 and 48576.\nAnswer: 534336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*y - 1179135359 + 440863359. Round y to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*h + 3 = h + 2*h, -48*h = -x - 42*h + 28 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128484?\nAnswer: 2, 3, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 b when four letters picked without replacement from bmmmmmmmmmmmbmbbbm?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 891?\nAnswer: -89.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (-3 - -7 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1714*g + 1662*g + 3 + 4*g**2 - 3 in the form z*g + l + u*g**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20221.\nAnswer: 73, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/6, 5.25?\nAnswer: 5.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/44 and 13\/9229?\nAnswer: 36916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, d: 3, l: 13}. What is prob of sequence dll?\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2193, 5931, 12165, 20895, 32121, 45843, 62061?\n\"Answer: 1248*p**2 - 6*p + 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v**4 - 45*v**2 + 45*v**2 - 77*v**4 + 3*v**2 + 157*v**4 - 77*v**4 - 2*v + (-3*v**3 + 1 - 1)*(0*v + 0*v - v).\nAnswer: 15*v**4 + 3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169227361*t**2 - 103764288*t.\nAnswer: -338454722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/60 - 4311\/(-90). Calculate the greatest common factor of 112 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4304 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 82*-3552\nAnswer: -291264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6976847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1422\/1159, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 15*c**2 - 14*c - 2. Calculate the least common multiple of p(16) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 + 785*d + 21924 = 0. What is d?\nAnswer: -27, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(8\/2))\/(1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6*p - 5. Let w be k(4). Let l = -24 + w. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y**2 + 12*y + 18. Let l be w(-2). Solve 2*u + 4*v = l, 2*v + v + 8 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*y - 9*d + 364, y - 177 = -4*d. What is the lowest common multiple of y and 11?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p - 25*p + 994 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18364, 36554, 54746, 72940, 91136, 109334, 127534?\nAnswer: 145736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -35. Let f be (3\/4 + c\/(-4))\/14. What is the nearest to 0.2 in f, -5, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2. Let t(n) = -247610*n. Calculate g(t(p)).\nAnswer: 122621424200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -26. Solve -j - 2*j - p = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 133?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 555, 2148, 4797, 8502?\nAnswer: 13263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 + 9*c)*(c - 2*c - 2*c) - 2*c**2 + 4*c**2 + 0*c**2 in the form g*c + n*c**2 + s and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5. Let k(n) = -s + 0*n**2 + 1 - n**2. Let f(q) = -12*q. Determine k(f(t)).\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 129226990 to the power of 1\/3, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 127008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 25 + (-9 - -6 - -6 - 7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 0*k + 2\/3*k**3 - 1\/2*k**2 + 189. Let c(a) = -a + 10*a**2 - a + 1 - 4*a. What is 2*c(g) - 11*f(g)?\nAnswer: -2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + (sqrt(140)\/(sqrt(7)*1))\/sqrt(4)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c - 7. Let g(k) = 13*k - 13. Let p(t) = 6*g(t) - 11*m(t). Let v(l) = 3*l - 3. Suppose -7 = -3*i - 1. Let j = 20 + -27. Give i*v(y) + j*p(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 + 8*x - 4*x - 4*x.\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 93652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -0.1, 15?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1111100?\nAnswer: 1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 197680 > 197721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11975, -18407, -24839, -31271?\nAnswer: -37703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -54. Let j(d) = -d**3 - 2*d**2 + 14*d + 11. Let c be j(r). What is the greatest common factor of c and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/((sqrt(12) + sqrt(48))*-3))\/(sqrt(2048)*1) + 1.\nAnswer: -sqrt(3)\/288 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -652\/421 (c) 7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/60 + q**4\/24 + 2*q**3\/3 + q**2. Let x be y(0). Solve x*d - 2 = -22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-963)\/(-378) - 2\/(-7)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -553 (base 10) to base 15\nAnswer: -26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -679 in 5, 2\/9, -0.1, 1, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423053.5ml in litres?\nAnswer: 423.0535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157643324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 155 (b) -0.5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -v - 77*v + 415 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1162649689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + -14 + (14 - -33) + (0 - 14)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/364*56\/21?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from {j: 2, e: 3, l: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a - 1. Let q be r(2). Suppose -q*t - 2*p - 1 = 5, -2*p = -3*t + 6. What is the third derivative of t*y**5 + 2*y**2 - y**5 - y**5 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -666 + 671. Suppose -3*u + 8 = 2. Let v be (-1)\/u*(-3)\/(-2). Which is the second biggest value? (a) v (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 386\/5 - 77. Let z = -0.0172 + -0.4828. Sort f, z, 3 in increasing order.\nAnswer: z, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4550 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 14*w**2 - 10*w - 21. Let p be k(10). Suppose p = -2*i + 3*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.4 (b) -257480 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 15 (c) 5 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1927*d**3 - 476*d**2 + 8*d - 254308?\nAnswer: 11562*d - 952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 1:43 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 + 117880*h**5 - 23*h**3 - 1156181*h**2 - 14*h wrt h?\nAnswer: 120*h**3 + 7072800*h**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 22*v**2 + 33549390943 - 33549390943.\nAnswer: 22*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -119 - 4 + 81 + j + j. Let f(a) = -4*a. Calculate f(l(m)).\nAnswer: -8*m + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2698928 by -2698928.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by -56.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2459691 divided by 23\nAnswer: -2459691\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174468 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/((-2)\/2) - -1)*16 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1))**(-4\/21)\/((b**(-6\/7)*b)\/b**(2\/29)) assuming b is positive.\nAnswer: b**(-277\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3540904*g**3 + 43*g**2 + g + 87434615?\nAnswer: 21245424*g + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138503372?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 times 0.9?\nAnswer: -291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*a + 15 - 3, 5*c - 2*a - 11 = 0. Let w be ((-16)\/c)\/2 - 6\/18. List the prime factors of ((-1)\/w)\/(332\/(-111) + 3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 3.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/14 - 3\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -30887 divided by 8\nAnswer: -30887\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - m**5 - 4*m**5 - 40*m**2 - 60*m**3 - 30*m**4 - 80 = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -398 - -416. Calculate the remainder when 89 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138291 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -46*(5\/(-18) - (-6)\/(-27)). What is the first derivative of 51*i**2 - j*i**2 - 28*i**2 + 12*i**4 + 14 wrt i?\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 4211, 5, 5.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20d (base 14) to base 12.\nAnswer: -299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.7 - 160.7. Let y = 1655108.9 - 1654963.900122. Let n = y + m. What is n rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*u + 16 = 0, 4 = 5*a - 7*a - 5*u. Let s = 4 - -7. Let z = s - 1. What is the second smallest value in a, 0.2, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/998 and 101\/4990.\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 1. Let n(v) = 7*v**2 + 7. What is 5*d(y) - n(y)?\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 10*y - 15. Let b be v(-6). Suppose 100 = 5*l + 245. Let t be l\/(-9) - 2\/b. Solve 2*s + a - 2 = t, -4*a - 45 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 13*y. Let k be i(12). Is ((-92)\/k)\/(1\/(-3)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = 2*b + 78, -3*z = 12. Let h be 1*b\/(-14) - 2. Let g = 6\/7 - h. What is the nearest to g in 0.4, 2\/13, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5 + 9 - 39*c - 7. Let q be o(-5). Calculate the highest common divisor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 179450?\nAnswer: 6460200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 4*i**2 - 4*i**2)*(-5*i + 3*i - 3*i)*(1 + 5*i - 1).\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -564 - -561. Which is the fourth biggest value? (a) -0.3 (b) o (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349389 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-870)\/14 - 3\/(-21). Let c = f + 64. Find the third derivative of -5*g**4 - g**c + 27*g**2 - 229 + 229 wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -866*b. Let o(x) = 2*x + 5. Let m(y) = -17*y - 45. Let v(p) = -2*m(p) - 18*o(p). Give a(v(n)).\nAnswer: 1732*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41151 and 46827?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 18, 0.3, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5860122, -5860117, -5860112?\nAnswer: -5860107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*u**4 - 17*u**3 - 10*u - 4 wrt u?\nAnswer: 96*u**2 - 102*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 b when three letters picked without replacement from {p: 1, b: 19}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 - 12*x + 0*x + 132 - 4*x - 251 to r*x + f and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5080\/9 or -5122?\nAnswer: -5122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1594.8 - 1595. Let n be -2 - (2 - 2) - -2. Suppose n = -g + 3*g - 2. Which is the nearest to g? (a) 0.4 (b) 2\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9485, -9482, -9477, -9470, -9461, -9450, -9437?\nAnswer: -9422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129875\/88315*3\/(-30).\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -27, -45, -59, -63, -51, -17, 45?\n\"Answer: l**3 - 7*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-170)\/56 - (-18)\/24.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137.25 + 132.25. What is the nearest to 2\/7 in 0, 0.4, -1.2, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-22 + 15 - 6) + -14\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71 or 2?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2105 = -2*i - 3*x, -3*i + 1274 = 4*x. Let b = 420 - i. Sort b, 4, 2\/7 in ascending order.\nAnswer: 2\/7, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 8) to base 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) + 152\/80. Let u = 2.2 - 6.2. Put u, x, -7 in decreasing order.\nAnswer: x, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 13. Let r be 6\/z + 60\/9. Solve -4*t + r + 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/6)\/(4\/(-6)). Suppose -q - 4*z - 4 = z, -4*q - 34 = b*z. Let w be q - (1 + (2 - 7)). Let r(i) = -2*i - 7. Give r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -464 + 426 - (3 + -43)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10446374 is divided by 94967.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.06, 3\/4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -36174*m + 217046. Give z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a factor of 1151402310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-2\/3)\/h)\/h*h))\/(h*h\/(h*h**(-4\/3)*h*h)*h)*((h*h**(-2\/17)*h)\/h)**11 assuming h is positive.\nAnswer: h**(563\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37509 (base 11) in base 7?\nAnswer: -313003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + 0*u)*(3 + 1 + 1)*(5 - 3 - 1).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -1\/75*m**6 - 1\/50*m**5 + 1\/105*m**7 + 0*m**2 + 0 + 1\/30*m**4 + 0*m**3 + 5*m. Factor a(s).\nAnswer: 2*s**2*(s - 1)**2*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -216373*s**5 - 215251*s wrt s.\nAnswer: -4327460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92060 and 30.\nAnswer: 276180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -313848 * -1.\nAnswer: 313848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18847\/26 - -725. Is t >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Suppose 3*r - k*r - 36 = 0. Suppose 4*c = 5*c - r. Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*i = 22*i + 2336 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6383.\nAnswer: 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82.2 + -0.3.\nAnswer: 81.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -15*s + 40. Let m(n) = n - 1. Let z(u) = -3*u + 3. Give s*m(k) + 3*z(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 2*h**4 + 3*h**2 + 1 - 5*h**2 - 199*h**3 + 197*h**3 to c*h**4 + i*h**3 + s*h + n + f*h**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(560) - sqrt(560)*3)*-4 + sqrt(560))\/sqrt(10))\/(sqrt(6)\/(sqrt(3)*1 + sqrt(3))*-6).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -2*w**3\/3 - 3*w**2 - 12*w. Give b(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259.087 + -260. Let v = g + 0.413. What is the smallest value in v, -1, 14\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -6*s**6\/5 + 108*s**5\/25 + 7*s**4\/5 - 92*s**3\/15 + 12*s**2\/5 - 27. Find u, given that t(u) = 0.\nAnswer: -1, 0, 1\/3, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 13*s**2 - 83*s + 253. Give h(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n - 5*u + 50 = 0, -2*n + u + 29 = 0. Suppose -p - 6 = -3*p. Let i be (0 + p)\/3 - -3. Solve i*y - y = -4*f + n, -3*f = -y + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74234091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 110 = 5*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*o - 2 + 6, 5*o + 1 = -4*m. Let w = 4519 + -4523. What is the nearest to m in w, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55310*o**2 - 43999*o wrt o.\nAnswer: 110620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1755244 is divided by 58508.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - t**2 + (3 + 2*t - 3)*(2 + 3*t - 2) + (1 - 1 - 2*t)*(5*t + 0*t - 6*t) + 2*t**2 + 0*t + 0*t - 5*t**2 + 4*t**2 + 5*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 297*t**3 - 20*t**2 + 118*t + 75. Let z be k(39). Round z to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5833458 litres in millilitres?\nAnswer: 583.3458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 - 207 - 247 + 28*p - 257 + 957.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/12*420\/(-126))\/((-1)\/3)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51959, -51970, -51979, -51986?\nAnswer: -51991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189379?\nAnswer: 31, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:19 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -42*q + 44*q. Let z = -6 - q. Let m = z - -441. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*a - 38. Let i = 59 + 41. Calculate the highest common divisor of i and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8211 = 109*h - h - 7455 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - -158. Let u = -89.9 + k. What is the smallest value in u, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -22*r**2 - 1621*r + 1621. Determine z(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -154*g + 72*g + 34 + 81*g. Let z be o(23). What is the derivative of -2 - z - 15 - 2*l**4 - l**4 wrt l?\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 6, -1\/4, 0.\nAnswer: -22, -1\/4, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26 and -649109.331.\nAnswer: -649083.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 3*h + h)*(-6 + 6 - 6)*(5 - 3 - 4).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 6:19 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b8 + 1?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286470872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.9, 2, -13?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/7 (b) -0.11947 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 20*c**3 + 26695*c**2 - 6675*c = 0?\nAnswer: -1335, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 195*n**2 - 1805*n - 312535. Determine p(-194).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-225)*225\/60)\/(4\/(-250))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Suppose 0 = -5*w + k*g + 3 + 3, 0 = -5*w - 3*g - 6. Solve -s - 2 - 3 = w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 17. Let x(r) = -r + 35595. Calculate g(x(v)).\nAnswer: -2*v + 71207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -714*y + 49968. What is g(70)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/39*5\/30*39. Solve 2*c = -h - 6, -p*c - 32 = -3*h + 2*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2053*a. Let r(c) = 5*c. Determine r(y(v)).\nAnswer: -10265*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39983317 and 15169?\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 + 9544*r - 189280 = 0. What is r?\nAnswer: 20, 2366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14216074 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -26 + 66 - (0 + 2 + -3). Let n be 320\/38 + -49 + u. Solve -n - 2\/19*t**2 - 8\/19*t = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235823773 to the power of 1\/4, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -606 + 576. Let k(u) = -u**3 - 30*u**2 - 3*u - 7. Calculate the remainder when 160 is divided by k(w).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) -0.4 (c) 5 (d) -2 (e) 8\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -445\/86 + 184007\/38270. Let i = 3\/89 - t. Do -1.7 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*u + 211 - 61*u - 6.\nAnswer: 40*u + 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3207 * 48.7.\nAnswer: -15.61809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -381, -0.3, -18198\/7 in ascending order.\nAnswer: -18198\/7, -381, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31749997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 9, -0.2, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/u**15)*u)\/u)\/u)\/(u**(1\/5)\/u))\/((u\/u**21)\/(u*u*u**23*u)) assuming u is positive.\nAnswer: u**(304\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = -2*x - 19, -2*c - 2*x + 6 = 0. Suppose -f + 63 = 5*u, -4*f + 0*u = -5*u - 377. Suppose -60 = -7*t - f. Put -5, t, c, 1 in decreasing order.\nAnswer: c, 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14589*w + 14589*w + 86*w**2 to s*w + g + u*w**2 and give u.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 41 + 209. Let l = -30 - x. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*y + 2*s, s = -3*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -52*j. Let g(s) = 21*s. Let n(r) = 12*g(r) + 5*q(r). Let d(t) = -3*t. Give n(d(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207.311 - -14.681. Round l to 0 decimal places.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 28 - ((-1 - -1) + (-2 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + l**4 + 2*l**4)*(3 + 2 - 7)*(3 - 4 + 2).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1214*v**3 + 2*v**2 + 5*v + 3. Let g be k(-1). Let a = 2316 + g. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**3\/3 + 47*p**2\/2 + 2*p - 63. Let o(u) = -u. Calculate v(o(g)).\nAnswer: -2*g + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15\/50*(38\/5)\/(18\/15)*-4\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103*9*1*10\/(-30)*(-18)\/54.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13843 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/91000 and -68\/3939.\nAnswer: 27573000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -10. Find k, given that k + k**3 + 4*k - 7*k + 3*k - 2*k**j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**2 + 55*h + 1. Give v(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**5*j)**(2\/47))**(-40))**13 assuming j is positive.\nAnswer: j**(-6240\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 56 - 39*a**2 - 31 - 23. Let x(q) = -6*q - 2*q + 7*q. What is o(x(r))?\nAnswer: -39*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20951 - 20952. Let a(s) = -3*s**3 + 2*s**2 + 12*s + 10. Determine a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 10, -30 = y + 4*c - 2. Let z = 16 - y. Calculate the greatest common divisor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in centimeters?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d*d)**(32\/7)*(d\/(d**(-4)*d*d*d))\/d**(-2\/17) assuming d is positive.\nAnswer: d**(796\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -158240588 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -49, -89, -139?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 7168\/125611 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.76897 * -0.4.\nAnswer: 4.307588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 109, 135, 161, 187, 213?\n\"Answer: 26*u + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*w**2 + 24*w**3 + 2*w**3 + 384*w**2.\nAnswer: 26*w**3 - 123*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-0.243.\nAnswer: 0.01215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3 = 2*k, -2*k + 6 = -4*v - 0. Suppose -1 - k = 2*t. Let j(i) = -7 - i + 6 + 7. Determine j(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, i: 2}. Give prob of sequence aiia.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47794*b + 1326 = 47743*b for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35215*z + 2 - 2 - 292692*z.\nAnswer: -327907*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 15 - 4*z + z + 4*z. Let o be f(-13). Find the second derivative of -3*m**2 - m + 5*m**o - 3*m**2 + 0*m wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3 - 28*u**2 - 20*u + 300 = 0. What is u?\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -19.6. Round o to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 17*l**2 + l + 9. Let h(s) = -s**3 + 8*s**2 - 4. Give 5*h(t) + 2*m(t).\nAnswer: -3*t**3 + 6*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1861735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 654347718 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 45 = 3*n. Let h be (-14)\/(-49)*(n - 1). Solve h*a + 3 = -5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29824.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19096)\/55242)\/((-3)\/27)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1394*h - 6086*h + 1 - 12*h to o + w*h and give w.\nAnswer: -7492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2, 330 in descending order.\nAnswer: 330, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/7, -5, -3\/5 in ascending order.\nAnswer: -5, -3\/5, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 5*z - 216. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/(99\/(-111342)). Suppose -k = -8*m + 897. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 10 = -12*f. Let u be f*6\/21*-35. Solve 5*r = u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1130032 + -213313?\nAnswer: -2010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-55)\/2*(-144)\/45.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/136710 and 61\/140?\nAnswer: 273420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1 + 6*o - 2*o - 2*o. Let l be t(3). Let k be -5*(24\/110)\/6. Sort 1, l, k in ascending order.\nAnswer: k, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-668)\/(-16) + 6\/(-8). Suppose -s*h = -h - 54240. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 289? (a) 4 (b) -4 (c) 107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 608026 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 74?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5830*g + 5829*g - 10 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.6768 and 0.6.\nAnswer: -9.0768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((16 - 11) + (-11 - -4) - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2231 - 2229. Sort -17, 11, 0, k in decreasing order.\nAnswer: 11, k, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15705a7 (base 13) to base 12.\nAnswer: 237ba9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1511502341 - 4?\nAnswer: 1511502333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(432) - (sqrt(432)*5 + -1).\nAnswer: -48*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220000 - 0?\nAnswer: -10220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 870 + -1741\/2. Let f(v) = -5*v**2 - 6*v - 4. Let m be f(5). Let p = 2065\/13 + m. Which is the nearest to z? (a) 1\/2 (b) p (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t - 1. Let p be q(-1). Suppose p = j + 3. Let w(l) = -9*l - 69. Let n be w(-8). Solve -4*h - 23 = 3*s, j*h - 3*s - n - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112212222210 (base 3) to base 14\nAnswer: -78b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 2*k + 1. Let i be t(1). Put -1, -5, i in decreasing order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -d + 2057 + 4743, 5*q - 20360 = -3*d. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574806689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - 10 - (9 - 5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + l = -5, -8*j + 12*j - l - 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*w + 8*w = 225, 135 = 3*q - 2*w. Suppose -q = 2*t - 51. Solve 0*a - 3*a = t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f + 26. Let a be n(-2). Which is bigger: a or -40\/3?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3708 = 2*g, 4*r - 2*g = -2382 + 9802. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/33)\/15*-11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(19) - sqrt(1539)))**2 + (sqrt(19) - (sqrt(190) + sqrt(190)*4)\/sqrt(10)).\nAnswer: 76*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*d**3 + 165645*d**2 - 84586349*d wrt d?\nAnswer: -54*d + 331290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 4:42 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-2)\/2)*(6 - 1250\/25)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a01 - 2?\nAnswer: -14a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmbbbmbbbbmbbm. Give prob of picking 1 m and 2 b.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -9. Let g = 3835 - 22903\/6. Let f = -18 + g. Which is the smallest value? (a) h (b) 2\/15 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/7)\/t**5*(t*t**(2\/7)*t)**(-48) assuming t is positive.\nAnswer: t**(-804\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/111*9\/(-6) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z + 67. Let u be h(-6). What is the tens digit of (u - -784)*63\/105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(289\/(-42) + (-36)\/(-48)). Let o = 344\/7 + r. Which is the nearest to 1? (a) -1 (b) o (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 1 + 1 + (5*o - 2*o + 3*o)*(3 + 1 - 3).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -16*h**6\/15 + 15*h**3 - 46*h. Find the second derivative of a(p) wrt p.\nAnswer: -384*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 676396 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 37900.2 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19.291 and 0.2?\nAnswer: 19.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 + 0 = 5*g, 3 = 3*g. Let a = 10 - u. Suppose -a*b - 8 = -4*b. Calculate the lowest common multiple of 18 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/39841 - 2031951\/398410. Calculate the common denominator of q and 4\/(-14) - 1450\/(-5516).\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 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: What is next in -10652, -42620, -95900, -170492, -266396, -383612?\nAnswer: -522140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 8*k**2 + 6*k + 3. Let b = -992 - -999. Determine d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:47 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4495 + 4504. Solve v - 15 = 5*n, 0 = -5*v - 10*n + f*n + 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 208 = -884. Let f = -17 + z. What is the highest common factor of f and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159096487 by -1314847.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -150, -518, -1210, -2328, -3974, -6250?\n\"Answer: -17*l**3 - 9*l**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(77)*-1*-1)\/(sqrt(55)\/sqrt(125)*3))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5269*n**2. Let y(a) = 14*a. Calculate y(w(h)).\nAnswer: 73766*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*c**2*r**3*v - 3*c**2*r**3 - 1098*c**2*r*v + c**2*r + 2*c*r**2*v + 220*r**3 wrt r?\nAnswer: -138*c**2*v - 18*c**2 + 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 775476 and 67860?\nAnswer: 112444020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2534 and 56?\nAnswer: 10136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320280 = -10110*m + 12323*m + 83489 for m.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-1)\/(-4)*-6. Let q = -306 + 451. Suppose q = 5*n - o*d, 0 = 3*d - 8*d. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -56 - 24. Let p = r - -457. Suppose 2*v + p = j + 4*v, 4*v + 762 = 2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from nnrknrqwrrr.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -11392155571822?\nAnswer: 11392155571822.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4545 + 21.4545. Sort 10, o, 3 in decreasing order.\nAnswer: o, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 215?\nAnswer: 4\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -207 - -379. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 45 - 42 + 6*u**2 - 7*u. Let k(z) = -3*z**2 + 4*z - 1. Let b(j) = -11*k(j) - 6*r(j). Is b(-8) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 3 - (1 - 3). Suppose p*y + y - 5*l = 968, -y + 5*l + 306 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5726761836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23222 + -23010. What is the highest common factor of 17596 and d?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 14\/7) + (-288)\/(-36). Let g be -1 + 2 - 1\/(-1). Solve g*c + 5*v + 9 = o*v, -4*c = -4*v + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(0 - 3 + 2)*(9*y - 22*y + 15*y) as i*y + j and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, q: 2, o: 5, l: 3}. What is prob of sequence ylq?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 7*o**2 + o + 7. Suppose v - 2*v + 40 = 0. Calculate the remainder when v is divided by u(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62537, 251054, 565235, 1005068, 1570541, 2261642?\n\"Answer: -2*o**3 + 62844*o**2 - o - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 + 5434231?\nAnswer: 5434111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2294321.\nAnswer: 2294321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 211622355 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 - 5*w - 7*w - w as z*w + f and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(112) + -3*((sqrt(112)*1)**2 + sqrt(112)) - sqrt(112) - sqrt(112)) + 5.\nAnswer: -332 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17856.985 to the nearest 10.\nAnswer: -17860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*c - 9*c + 936. Let z be (13\/c)\/(15\/8). What is the third smallest value in -2, z, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:20 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 244 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 9*y + 10. Suppose 0 = 3*t - 30 + 3. Let k be i(t). Suppose -2*s + 7*s - k = 0. Solve 5*n + 3*g = -g + 23, g + 4 = s*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 - 2*a**4 - 2*a**4 + (-4*a + a**2 + 4*a)*(-a**2 + a**2 - 2*a**2) + 85*a**4 + 5515*a - 5515*a.\nAnswer: 82*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-22)*(-2328)\/2619*6\/8.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7 = -3*i + x, -2*x + 2 = 0. Let r = i + 12. Let -2\/7*d**5 + 0 + 0*d**r + 4\/7*d**3 - 2\/7*d + 0*d**2 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/15 + -2 + (3 - 5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 2494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464.97 rounded to the nearest ten?\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30727.\nAnswer: 30727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - -1 - (-2 - -4). Does 38 divide (3 - l\/(-3))*15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/2 + 28797\/(-261) + 102?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 439*m + 6 = 440*m - 11, -25 - 8 = 3*i + 3*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*c + 4*c + 41, 0 = 5*h + 3*c + 47. What are the prime factors of ((-16)\/h)\/(46\/10350)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7512 to 2 decimal places.\nAnswer: -1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 89\/2 of a millennium?\nAnswer: 4450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x - 3. Let q be n(-3). Let c = -7 - q. Suppose -385 - 155 = -20*j. Solve -j = c*t - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66337 is divided by 310?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11523 (base 9) to base 4\nAnswer: 1320210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 69.68884 * -0.09\nAnswer: -6.2719956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5188 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12769879 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 14*p**2 + 14*p - 2. Give k(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - v - 2390 = -751, 969 = 3*p + 3*v. What are the prime factors of p?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -61. Suppose 40 = 3*d - v. Suppose g = 4*q + 7, 0 = -7*g + 2*g - 5*q + 10. Calculate the remainder when d is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((4 - 3)*-26)\/(-1). Let p = a + -24. Suppose -4*o = -j + 18 - 118, -75 = -3*o - p*j. Calculate the greatest common factor of 150 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -11\/2 (b) 3\/3281 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2702260 (base 9) to base 12\nAnswer: 5b3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 162680906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 + 7 - -3) + 25\/1. What is the greatest common factor of w and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - ((-9 - -11) + 12 - 24 - -8).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*h - 17. Suppose -5*v = -5*t - 20 - h, t + 16 = 5*v. Suppose 35 - 104 = -v*s. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.15184892846 minus -20?\nAnswer: 41.15184892846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*h - 253*h - 17 = -4*k, 0 = h - k - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -4. Let k be (21\/30)\/(26\/(-1820)*-7). Let s be (3\/10)\/((-12)\/(-8)). Which is the biggest value? (a) s (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {m: 1, i: 1, f: 1, c: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x - 8. Suppose o - x = -0. Solve 2*a = -3*b + 6, 8 = -o*a - 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 12*b + 13*b + 14*b - 39*b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2*2\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 - i**3 - 2*i**3 + (4 + 0 - 2)*(3*i**3 - i**3 + 0*i**3))*(-5 - 17 - 19)*(-1 + 4 + 0).\nAnswer: 246*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 6645300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 1330*z**3 + 1326*z**3 + 326345 + 12*z - 3*z**2 - 326345.\nAnswer: -4*z**3 + 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeqeeqqqeeeeq?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4795270?\nAnswer: 2, 5, 23, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 613521 - 354422. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 3*h - 196 = 0. What is the remainder when 111 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x + 2 - 8*x + 13*x - 4*x**2 as p + g*x**2 + j*x and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjddcc. Give prob of picking 1 d and 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 12:24 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25b (base 16) to base 3.\nAnswer: -211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.213767 nanometers to kilometers.\nAnswer: 0.000000000009213767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19999 (base 16) to base 5.\nAnswer: -11323412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 270*z\/7 + 39\/7.\nAnswer: -3*(z - 13)*(7*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.0268 rounded to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825694 is divided by 723.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -2 in increasing order.\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1694794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**4\/12 - u**3 - u**2\/2 + u. Let c be l(-5). Find the second derivative of 4*v**4 - v - 3*v**4 - 2*v - 3*v**c wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 285.41 - 284. Let h = j - 1.34. Round h to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 12749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*g**3)*(-169 + 169 - 82*g)*(2 - 5 + 1).\nAnswer: -656*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2)*-4 + sqrt(2016)*-2)\/(sqrt(2)*1*3 + (sqrt(2) - (-1*sqrt(16))\/sqrt(8))).\nAnswer: -28*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2. Let g(o) = 66*o**2 - 30287. What is g(i(s))?\nAnswer: 66*s**4 - 30287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/48363 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (5*(sqrt(2057)*-3 - sqrt(2057)) + sqrt(2057) - sqrt(2057) - (0 + sqrt(2057) + -4)**2)).\nAnswer: 396*sqrt(17) + 6219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l**2 + 21*l. Let s(k) = 33*k**2 + 5*k**2 + 2*k**2 + 35*k + 17*k. Let d(q) = -12*p(q) + 5*s(q). Find the second derivative of d(r) wrt r.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18546\/7 > -2648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiijijjhjhhiiij. What is prob of picking 2 h and 2 i?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n - 164 = -3 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65270 = 168*u + 1026*u + 1988 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5*o - 3, -4*o - 3 = -b - 3*o. Suppose -2*i + 9 = b. Suppose -i*k + p = -9, 4*p = 2*p - 6. Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 6*k**2 - 9*k - 14. Let j be d(9). Let g = 102 - j. Let n = g - -58. Solve n - 32 = 5*i - x, 2*i = 2*x - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/124, 2, -651?\nAnswer: -651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-7)\/((-84)\/8). Suppose -g + 6 = o*g. Suppose 0 = 2*y - 3*n - 18, 0*y = -g*y + 4*n + 14. 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 6881 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 74238.83 nanometers?\nAnswer: 74.23883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4890 and 46020?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2567 and 52.29?\nAnswer: -134228.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*4\/(-5)*-10. Suppose a - 176 = -10*a. Calculate the highest common factor of a and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in -1\/6, 44\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/13, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 68*a**3 + 2*a**2 + 2*a - 72. Let s(r) = -r**2 - r + 1. Let x(c) = q(c) + 2*s(c). What is the first derivative of x(t) wrt t?\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*((b**2 + 0*b**2 + 0*b**2)*(-3 + 3 + 2*b) - 5*b**3 - 3*b + 3*b)*(0*b - 4*b + 2*b).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 3*l + 3 + l**2 - 7 + 7. Let z(n) = 5*n**2 - 5*n + 13. Let c(p) = 26*d(p) - 6*z(p). Factor c(i).\nAnswer: -4*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 + (1 - 3\/5)*5 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -6)*2\/6*-11. Solve -3*u + 22 = -y - 8*u, -3*y - 4*u - q = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12257 + -9037. What is the greatest common factor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from nunhnnnnnuhnhnnnnn.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in seconds?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 438802 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: Expand 3*v**2 - v**3 + v**2 - 5*v**2 - 2*v - v**3 + 2*v + (-3*v - 8 + 8)*(-161*v**2 + 81*v**2 + 85*v**2).\nAnswer: -17*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 - 5*t**2 - 4*t - 5. Let n(p) = -p**3 - p**2 - p. Calculate -5*n(c) + o(c).\nAnswer: c**3 + c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 2 + 2)*(-3 + 1 + 0)*(7 - 5 - 3).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 - (0 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.2, -0.45, 8 in decreasing order.\nAnswer: 8, 0.2, -1\/3, -0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*f**2 + 4 + 3 - 17 + 10.\nAnswer: -305*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1827793*g. Let w(v) = -v. Determine w(a(n)).\nAnswer: 1827793*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-1 + -25). Let v = 26 + t. Suppose 284 = v*q - 223. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/692178 and -11\/18.\nAnswer: 2076534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1830*s**3 - 379*s**3 - 1042*s**3 + 2030*s**3.\nAnswer: 2439*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -16 + 21 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 1\/30*y**5 - 1\/6*y**3 + 0*y + 0 + 0*y**4 - 1\/24*y**6 + 3*y**2. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**3\/3 + 4*p**2 + 12*p - 36. Let t be b(10). Let r be ((-2)\/12)\/(t*7\/(-168)). Sort r, -3, 1 in descending order.\nAnswer: 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n - 2*n)*(65*n - 52*n - 68*n)*(-4*n**2 + n**2 + 5*n**2 + (-1 + 1 - 2*n)*(2 - 2 + 2*n)).\nAnswer: -220*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8059164 and 13431940?\nAnswer: 40295820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.362 and 0.064.\nAnswer: -0.215168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**3 + 2*t**2 + 4*t - 5. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1732816.7 to the nearest 10000.\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1457*x + 748905. Determine g(-514).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1696.\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5034 = 4*z + 2*q, 6290 = 2*z + 3*z + 3*q. Suppose -6*w + z = -173. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 0*o**2 - 2*o**2 + 4*o**2. Let y(w) be the second derivative of 3*w**3\/2 + w. Determine t(y(s)).\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/(f\/(f*f\/(f\/f**(11\/2))*f))*f))\/f*f*f\/f**(-5))\/(((f\/f**(-2\/21))\/f)\/(f\/((f**(-4\/5)\/f)\/f))))**(1\/9) assuming f is positive.\nAnswer: f**(253\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.8 - 4.22. Let v = -0.02 - m. Which is the closest to 2\/7? (a) 0.1 (b) v (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -72.9, -5 in increasing order.\nAnswer: -72.9, -5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*z - 8 - 6*z + 8 as g + f*z and give f.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 1351 - 1355 = -4*c, 0 = 3*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*i + 36*i. Let c(q) = -2*q**2 - q + 11300. Let u be c(i). Round u to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:07 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 12*y - 30*y + 10*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655214 a multiple of 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9451, -18901, -28351, -37801, -47251?\nAnswer: -56701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 51 + 24*g + 4*g - 5*g - 28.\nAnswer: 23*g - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 189676*b**2. Let t(z) = -112*z**2. Give t(m(x)).\nAnswer: -4029422317312*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 509 - 506.87. Let p = u + -0.53. What is the third smallest value in -1, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*z**3 - 173*j**3 - 11*j**2 + j*z**3 + 1 wrt j.\nAnswer: 6*z**3 - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvn when three letters picked without replacement from {i: 2, z: 3, n: 4, v: 1, d: 1, r: 7}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 8*l + 3. Let n(u) be the first derivative of u**2\/2 - 5925. Determine z(n(w)).\nAnswer: 2*w**2 - 8*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + (-10 - -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5*d + 51, -398904*d + 398899*d = -3*i + 58 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*p = 34 + 8, -2*p = 2*r - 18. Determine x, given that -15 + 98*x**2 - 103*x**2 + 28*x - r*x = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + z + 4 = -l, 0 = 2*l + 5*z - 1. Suppose -j - 4*s + 7 = -2*j, 0 = -3*j + l*s + 15. Let p be (-1 - -4) + 0 + 0 + 0. Solve 0*m - j = p*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3403 - -3411. Solve -43*f - o = -39*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 181.8256 nanometers?\nAnswer: 0.00001818256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 330 = 2*k - 342, 3*k = -2*b + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10*b**2 + b. Let x be 2\/(-2 + 4)*1. Let z be y(x). Round z to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1367 - 549. List the prime factors of k.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194 and 3880.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s - 88*s + 11 = -42*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1914358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11088, 32244, 53400, 74556, 95712, 116868?\n\"Answer: 21156*q - 10068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2394665 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f. Let g(p) = -p + 2725. What is q(g(c))?\nAnswer: -15*c + 40875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 5. Let g(c) = 1. Let r(k) = 6*g(k) - h(k). Let s be r(-1). What is the units digit of 1\/3 + 46\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25 from -404.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t - 2*g = -31*t - 52, 9*t + 3*g + 372 = 39*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -88590000 to the nearest 1000000.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 34. Calculate the highest common factor of 65 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4545 is divided by 1511.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -695, -1, -3, -4 in descending order.\nAnswer: -1, -3, -4, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -39. Let i = w - 23. Solve -n - i*n - 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2728 - -74?\nAnswer: -2684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 9:53 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 52.2 and -254683.\nAnswer: -254630.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/2 + 69413*d**4 - 6522613*d**3\/2 = 0. What is d?\nAnswer: 0, 47, 138779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -h + i, 2*h + i - 4*i = 106. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1219 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*w + 5*g, 4*w = w + g - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*g - 39 = 0, -4*b = -5*b + 2*g + 27. Calculate the highest common factor of b and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/6*(33 - (-180826)\/(-5474))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 4a75843?\nAnswer: 4a7583b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*d + 40, 0*y + 3*d - 86 = -5*y. Suppose -2*f - 58 = -4*m, 95 = 3*m + 2*m + 5*f. Let t = y - m. Solve 5*k - 15 = -t*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -2010122000112?\nAnswer: 2010122000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1559 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/360 - 13*o**4\/3 + 195*o**2. Let g(j) be the second derivative of l(j). Let q(d) = 4*d**2 - 1. Calculate g(q(c)).\nAnswer: 8*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 26 - 50 + 7*z**2 + (z + z - 4*z)*(-1 + 1 + 2*z) + 2*z**2 - z**2 + 0*z**2 + (2*z**2 - 1 + 1)*(4 - 1 - 2).\nAnswer: 6*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/3 - 817324*z**2\/9 - 3118718*z - 9265340\/9 = 0.\nAnswer: -34, -1\/3, 136255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 7*d - 4*c, -7*d + 13*c = -9*d + 17*c + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0452 - -6.0452. Let p = -3.1 - -3. What is the closest to v in p, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**2. Let x(o) = 127*o**2 - 66*o**2 - 62*o**2. Give z(x(f)).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (12 - 3) - (5 + -1 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -305\/1738 + -40\/79. Calculate the common denominator of ((-1)\/3)\/(8\/(-243)) and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 4, 6, -0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 2197*c + 6590*c - 2186*c - 2207*c - 3*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2734082290 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -30*i - 52. Let n be o(-24). Suppose -3*f + n = 5*l - 56, -592 = -4*l + 4*f. List the prime factors of l.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 32*g**2 + 23*g + 102. Calculate d(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -36*s - 56 + 123. Let l(z) be the second derivative of -4*z**3\/3 - 5*z**2\/2 - 5*z. Calculate l(s).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 0)*(4 - 5). Let u(b) = 4*b**2 - 189*b - 1032. Let n be u(52). Sort n, 1, p, 4.\nAnswer: n, p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 54. List the prime factors of 241 - (-4 + 1 - (3 - o)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-185)\/(-15) + (-1)\/3. Suppose 0 = -l - 1 + n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 12, 8, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 2468*l - 12482100.\nAnswer: (l - 3450)*(l + 10854)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 818445 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1. Let h(y) be the first derivative of -8*y**2 + 2. Let l(b) = h(b) - 3*i(b). Does 29 divide l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 504, 1007, 1522, 2055, 2612, 3199, 3822?\n\"Answer: d**3 + 496*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/14088956 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - 9*z + 9*z - 3 + 3 - 2*z + 2*z - 5*z - z + (-2 - 1 + 4)*(-3*z - 3*z + 4*z) - 1 + 1 + z)*(2*z**4 + 3 - 3).\nAnswer: -24*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*k + 82*k - 24*k - 28*k - 2*l + 1, 3*k = l - 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68007\/14 + 4860. Let v = 1850 + -7345\/4. Find the common denominator of v and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -21.0936951.\nAnswer: -20.7936951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681219521.\nAnswer: 3, 186802169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 6:34 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*u = 406*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50691065.926989662 - -9814811.693010928. Let y = k + -60505877. Let p = y + -0.62. What is p rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.57 - -2.57. Which is the closest to f? (a) -14 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 3. Let p be u(-3). Suppose -5*l = 3*f - 9, p = 4*l - f + 3*f - 6. Suppose l = -4*n - 13 + 117. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 1. Let i(j) = -2*j**2 - j + 4. Give i(m) - 2*v(m).\nAnswer: -2*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7008, -14014, -21020, -28026, -35032?\n\"Answer: -7006*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -53*n - 318. Let p(f) = 2. Give 5*d(k) + 795*p(k).\nAnswer: -265*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 1 (c) 1\/5 (d) 3 (e) 8 (f) 2\/21 (g) 234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -5 (c) -2.8 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*l = -7, 4*l - 3 = x + 3*l. Let q(d) = -d**3 - 4*d**2 - 2*d - 6. Let m be q(x). Suppose m*w - 18 = 32. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from wawcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 14 + 8*j**2 + 10 + 2*j - 8*j**5 + 16*j**3 - 10*j = 0. Calculate j.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3842 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + ((13 - (-3 + -1)) + 3 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**4\/12 + 153480*a**2. Let h(s) = 76*s - 3 + 3. Calculate h(y(d)).\nAnswer: 152*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1783 + -905. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208943*o**3*t**2 - 934*o**3 - 7*o**2*t + 8*t wrt t?\nAnswer: 417886*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192396128 by -4.\nAnswer: 48099032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 383 - 345. Let j = -29 + s. Let y = 48 + -17. What is the remainder when y is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4 + 10. Let c(y) = y**3 + 10*y**2 - 3*y - 7. Let i be c(o). Calculate the highest common factor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*t**2 - t + 46*t**2 - 207*t**2.\nAnswer: -317*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*p\/p**(-2\/5))\/(p**(-9)\/p*p**(-1\/2)\/p)*((p*p**(-2))\/p**(-4))\/(p**1)**(11\/3) assuming p is positive.\nAnswer: p**(277\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 55*i**3 - 30*i**2 - 120*i - 35. Let k(f) = 27*f**3 - 15*f**2 - 60*f - 18. Let x(y) = -5*k(y) + 2*s(y). Suppose x(m) = 0. Calculate m.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96.9 + 97.9. What is the nearest to m in -4, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(22)*-1 - sqrt(22)) + sqrt(1078)*-1)\/(-1*(sqrt(72) - -4*-1*sqrt(72)))*-5.\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (10 + (-9)\/18).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + d**2 + 5*d + 5. Let k be w(3). Suppose 10*u = 2*u + k*u. Solve 4*b - 4*x + 16 = u, 2*b - x + 0 = -4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1320, 2633, 3908, 5127, 6272, 7325?\nAnswer: 8268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/16 and -41\/2064?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/4)\/u)**(-2\/27))**(-17\/4))**(-2\/31) assuming u is positive.\nAnswer: u**(17\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1195 - 1195. What is the third smallest value in x, -3, 128, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -986 - -982. Let t = -197.89 - -198. Sort 0.2, 5, t, z in decreasing order.\nAnswer: 5, 0.2, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.164747 decades?\nAnswer: 979.76964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 13, -4\/11, -8\/17?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 103*z**2 + 61251*z - 81662. What is v(-596)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 87*a = 165278 + 343051. Calculate the remainder when a is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**3\/6 - 8*f**2 + 5*f. Let b be l(4). Let q = b - -12. Is q <= -4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16238?\nAnswer: 2, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, b: 9}. What is prob of sequence zzz?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-9) + 74\/(-333).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -95074? (a) -2\/7 (b) 3\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*2 + (0 + sqrt(5))*-3 - sqrt(40)\/(3*(sqrt(8) + (sqrt(8)*-1 - sqrt(8)))))**2.\nAnswer: 2420\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 1. Let v = 6 - h. Which is bigger: v or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 15.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7208 (base 9) to base 15.\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, s: 10, a: 2}. Give prob of picking 2 k and 2 a.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqeyeeqqqfqquqyf. Give prob of picking 1 u and 1 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-4)*6)\/(243\/180). Factor 0 - 2\/9*q**4 - 4\/9*q + 2\/9*q**5 + a*q**2 - 2\/3*q**3.\nAnswer: 2*q*(q - 1)**3*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k - 5. Let t(o) = -21*o + 11. Let r(s) = -5*f(s) - 2*t(s). Differentiate r(m) wrt m.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/6*(190364723 - -7). Let v be 2\/1*o\/16. Let z = 10127455 + v. Round z to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (5 - -6) - (-5 + 11 + -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 3)*(1 + 2 - 1) + 1 + 2 - 2 + 1 - 2 - 1 + 0 + 1 + 1)*(17*n + 0 + 0) - 4*n + 0*n + 2*n.\nAnswer: 49*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38682522 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -2, -6\/13 in increasing order.\nAnswer: -5, -2, -6\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**3 - 2261172*p**2 + 255645392913*p - 102257795378 = 0?\nAnswer: 2\/5, 226117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 7:55 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 31 = 4. Let y = j + -6. Which is smaller: y or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-9)*((-252)\/8)\/(-7). Let q = 41 + -15. Suppose 2*w = 3*x + p, 2*x = -0*w - 5*w + q. Solve w*d + 6 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 161 - 46 = -4*n, -2 = -2*l. Let j = n - 52. Suppose j = -10*t + 15*t - 15. Solve -r = 4, -3*s - t = -r + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w = 20*w, -4*w = -3*c - 63. Is -21 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -31, -61, -103, -157?\n\"Answer: -6*h**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 14*h**3 + 2*h. Let q be y(1). Let i = 207 + -204. Solve b - q = -i*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 648 = -3*w + 2327, f + 3*w - 1492 = 0. Suppose 9*b - 497 - f = 0. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 o, 1 r, and 1 i when four letters picked without replacement from {o: 1, i: 1, g: 1, t: 1, e: 2, r: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = 3*x, -2*x = -t - 0*x + 9. Suppose -4*b = -7 - t. Solve -2*h = -0 - b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4314*b + 4190*b = -114 - 134. Factor -33\/2*r**b + 105\/2*r - 75\/2 + 3\/2*r**3.\nAnswer: 3*(r - 5)**2*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, k: 1, b: 2}. Give prob of sequence bkqk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 + 32*w**2 - 320*w - 1536 = 0. What is w?\nAnswer: -12, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p - 1. Suppose 20 = -4*j, -3*j = -3*s - 6 + 27. Suppose -18 = -4*n - s*n. What is the tens digit of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1818489 and 2061?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.66 + -0.34. Let x = -20.5 - h. Round x to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 7*h + 3. Let a be w(7). Suppose -6 + a = -t. Solve 0*l = t*z + 2*l + 10, 3*l + 15 = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 123\/3 - (-1)\/(-1). Let z be 10\/(((-2)\/12)\/(90\/(-270))). Calculate the highest common divisor of b and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*q + 7, -29*z = -33*z + 3*q - 15. Let p be 20\/(-25)*3\/(-4). Let w = 16 + -17. Which is the smallest value? (a) p (b) w (c) -0.5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/30 - 4\/24*4. Which is the second biggest value? (a) 0.026 (b) 3\/7 (c) i (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5\/299, 2.\nAnswer: -5, 5\/299, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66238553 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 2804, 6537, 13076, 23357, 38316, 58889?\nAnswer: 86012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 0.4 (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 378 - 371. Let z = 3 - -1. Find the second derivative of -6*y - q*y**4 - 8*y - 13*y**z - 8*y wrt y.\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/8)\/((-116)\/1392)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 + (-4 - 1 + 0)*(0 + 0 + 1) + 1 - 4 + 1 + 0 + 1 + 2)*(2*j + 3*j - 4*j)*(4 - 3 - 3 + 3*j).\nAnswer: -6*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74236 = 3*n + 2*p, 0 = 348*p - 345*p - 15. Is n a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0*y - 2*y)*(-114*y**3 - 68*y**3 - 50*y**3) + (y - 4*y + 4*y)*(-3 + 3 - y**3) - y**4 - 2*y**4 + y**4 + y**4 + 2*y**4 - 6*y**4.\nAnswer: -470*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -5*z**3\/6 - 21*z**2\/2 - 9*z. Let u be r(-10). What is the tens digit of -4*(2 + u\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - -1) + (-24 - -20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18497285*u**2 + 17149*u + 999?\nAnswer: -36994570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 623*h - 637*h + 14882. What are the prime factors of h?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {y: 5, e: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16583248 and 35134.\nAnswer: 16583248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61030*l**2*t**3*w + 2*l*w - 65*t**3 + 7*t**2 - 3*w wrt l.\nAnswer: -122060*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + z + 3. Let q be n(2). Suppose -r - 3 = -q. List the prime factors of (r\/(-12))\/((-2)\/88).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9871 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90\/27*(-6)\/(-4). Find the third derivative of -20 - 7*d**2 + 20 + v*d**5 wrt d.\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 23 = 5*r - 0*r, 3*r + 49 = -5*y. Let d(n) be the second derivative of -391*n**3\/6 + 35*n**2\/2 - 3242*n + 1. Is d(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3 - 348*u + 30 wrt u?\nAnswer: 3*u**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(100)*-1 - sqrt(100))*-1)\/(-6*2*sqrt(5)))\/(((-2*sqrt(660) - sqrt(660) - sqrt(660))\/sqrt(11))\/(-5*-1*sqrt(6))))**2.\nAnswer: 25\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -209 - -283. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674388.7 millimeters in kilometers?\nAnswer: 0.6743887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52996 is divided by 8811.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -193672\nAnswer: 1936.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 157 = -5*b + 668, 3*t = -t. Calculate the remainder when 192 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -478 - 317. Find the common denominator of 1\/12 and n\/20*2\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r + 128. Let z(x) = -x - 3. Let a(v) = w(v) - 10*z(v). Let g be a(-39). Let q(y) = -y**2 + 7*y + 3. Let h be q(7). Solve g + 10 = -h*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 - (6 - -8 - 5). Solve 3 - 3 = u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:58 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*b - 16, 0*b - 17 = 3*b - 5*x. Let j(a) = -a - 1. Let p(c) = c + 1. Let y(m) = 7*j(m) + 6*p(m). Let o(k) = -k - 2. Determine b*y(n) + 3*o(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -11. Suppose -k = -j - j. Suppose -5*t - 3*c + 14 = 0, -2*c - 24 = t - j*t. Let n(r) = r**3 - 4*r**2 + 2*r - 3. Give n(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 7*r - 3*r. Suppose 6*a = -0*a + 2*a. Let i = r + a. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431224 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2517.\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - (-3 - 2)) + (-13 + -10 - -28 - 8).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:14 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.325 and -5.58214.\nAnswer: -1.25714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.051 - -0.05099765. Round d to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 46\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - 4*r + 79. Let n(l) = l**3 + 13*l**2 + 22*l + 24. Let z be n(-11). Is c(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -784.5 - -789.5. Let x = -2 - 2. Let h be (-6)\/(-4)*(-12)\/(-81). What is the closest to x in j, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.402293 to two dps.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v = n - 1671, 620*v - 619*v - 33 = -5*n for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3)*-1*35. Let n be 8\/14 - (-260)\/y. Let i(v) = v + 40. Let f be i(0). Calculate the highest common divisor of f and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 4*x + 40 = -5*j, 0 = 3*j - 4*x - 51. Suppose -j*r + 9282 = -12415. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 12. Let w = y + 9. Let o = -0.06 + -0.04. Which is the nearest to o? (a) -1\/4 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 11*d + 3. Let q = -13 + 24. Let z be r(q). Let h be -390003 + (1 - (-6)\/z). What is h rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5287? (a) 4\/7 (b) -1 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 4*x**2 + 5*x - 4. Suppose 0*b - 2*b - 5*r + 9 = 0, -2*b + r + 3 = 0. Let a be (b + -5 - -6)\/1. What is i(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1685 - -1684. What is the nearest to -0.2 in 12, -0.3, v, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29216, 29253, 29290, 29327?\nAnswer: 29364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*y**2 - 8*y - 3708 wrt y?\nAnswer: 12*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1\/4, 3\/4, 1, -1\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1217 divide 31556810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -213.9 and -340.0414.\nAnswer: -553.9414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 4*i - 1. Let l be j(-3). Suppose 3*y = -36*g + 31*g + 111, -3*g + 19 = -5*y. Solve -4*p - 4 = -2*n - 0*p, 4*n + g = -l*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b + 18 = 0. Let c be 3\/b - (-1)\/(-2). Let j(n) = -n - 1. Let x be j(-1). Is x greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50\/3 or -3.01?\nAnswer: -3.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 40696895?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9590 and 5754.\nAnswer: 28770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 = 20. Let y(d) = 2*d**2 - x*d**2 + 1 + 5*d**2. Let l(g) = g**2 + 2*g + 2. What is -l(t) + 2*y(t)?\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777281248?\nAnswer: 2, 24290039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 2. Let m = -13 - -19. Let k be c(m). Let n(u) = -u**3 + 3*u**2 + 4*u - 6. Calculate n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 2*t + 2 - 3*t)*(-39*t - 39*t - 25*t).\nAnswer: -103*t**2 - 206*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-5345)\/(-4)*332\/415 and 2.\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 13*m = 264. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 g when three letters picked without replacement from {g: 2, w: 2, s: 3, m: 6, l: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1709112 by -5.\nAnswer: -1709112\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) -3\/7 (c) 1 (d) 3\/7 (e) 3598 (f) 49 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -1, -5\/6, -3.412, -0.5, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -5. Let o(d) = -2*d + 28. Let t be o(14). Suppose t*h - 2*h - 2*r = 12, 4*r = 5*h + 30. Which is greater: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 3736*g**3 - 8*g + 11*g.\nAnswer: 3736*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 500150.\nAnswer: 1000300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117 + 371 + 379 + 367 - 16708*n.\nAnswer: -16708*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23301, -23304, -23307, -23310, -23313?\nAnswer: -23316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 20*r + 87. Suppose 39 = -q + 5*d, -4*q - 1326*d - 51 = -1331*d. Determine f(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 30 - 69 = -4*i, -5*i + 115 = 5*l. What is the greatest common factor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(150) - sqrt(36)\/sqrt(96))\/(-4*2*sqrt(128)))**2.\nAnswer: 19683\/65536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11989\/6 + -2022. Find the common denominator of 53\/7 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49491 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3 + 32969*o**2 + 494324*o + 461356 = 0?\nAnswer: -32954, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144299, -144301, -144303, -144305, -144307, -144309?\nAnswer: -144311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2102, -336, 1430, 3196?\nAnswer: 4962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + 12. Let s(q) = -3*q**2 - 2*q**2 + l*q**2. Let v(m) = 2*m**2 + 2. Let w(y) = 8*y**2 + 4. Let j(a) = -4*v(a) + 2*w(a). Calculate j(s(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -578*u**5 + 39530*u**4 + 19*u**2 - 31376*u - 34?\nAnswer: -34680*u**2 + 948720*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 6, 0 = -2*s - 5*c + 45. Let p be (-5)\/s*(-42)\/4*-2. Let o(u) = u**2 + 8*u + 4. What is o(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjoo when four letters picked without replacement from lggjoxgooggoooxggg.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -163 + -3?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*n - 6 + 17 = 0, 24 = 5*b - 4*n. Let i(v) = -4*v - 3. Let w(y) = 3*y + 2. Give b*i(o) + 6*w(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.085 and 15?\nAnswer: 1.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 17*x**2 + 1129*x - 27567. Calculate k(19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 105179*o**4\/12 + 167*o**3\/3 + 6*o**2. Let r be u(27). Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 127*l + 1687. Calculate p(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 264\/10 - (-6)\/(-15). Let t = w + -16. Suppose 3*u = n - 14, -3*u - 12 = -2*n + t. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 282?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1764)\/4900*(-4)\/18.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 6. Let y(j) = 14*j**2 + 252. Let i(t) = 42*c(t) + y(t). Let v(s) = 2*s. Calculate i(v(m)).\nAnswer: 224*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccl when four letters picked without replacement from relxoccoooco?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - -31) - (-34 + 180 + -157)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*i**5 - 79821*i**4 + 3152*i**2 + i - 3311 wrt i.\nAnswer: -360*i**2 - 1915704*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((1*sqrt(325) - sqrt(325))*5 + 5 + sqrt(325) + 1 + sqrt(325) + 6*(sqrt(325) - (2*sqrt(325) + 5)))*-1)**2 + -4.\nAnswer: 960*sqrt(13) + 5772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128310.\nAnswer: 2, 3, 5, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -17*k + 1. Let z(o) = -174*o - 164. Calculate 10*f(y) - z(y).\nAnswer: 4*y + 174","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 379671*j - 1898345. Give v(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 2*u**2 + 35*u + 6. Let w be d(7). Let n be -2*(-1)\/2 - -1. Suppose -w*b + 3*r - n = -4*b, 2*b + 2*r = 18. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52270029 and 69?\nAnswer: 1202210667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-2)\/8)\/((-12)\/16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 17*z**2 - 541*z - 3910. Determine w(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1090 (base 10) to base 14.\nAnswer: -57c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -38. Let c(y) = 7*y**3 - y**2 + y + 1. Give c(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = -1324 + 4822. Let s = -1604 + 1610. Calculate the greatest common divisor of s and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80390687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58739530 <= 58739531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 - -100. Let l = -3.2 - -3. What is the nearest to -1\/2 in 2, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -y + 9, 3*y + 26 = 3*d + 5. Let x(w) = w**2 - 4 + 5*w**2 + w**3 - 3*w**2 - 5*w - w**2. Let t be x(y). Is 3 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 13*c**2 - 3*c - 14. Let h be v(13). Let k = 26 + h. Let p = k + 41. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c = 31*c - 1. Is c >= -2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(sqrt(11)*-3))\/sqrt(11) + 0 + (sqrt(200) - (-2*sqrt(200) + sqrt(200) + -1) - (1*sqrt(200) + -1))**2.\nAnswer: 119*sqrt(2)\/3 + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 505, 2013, 4537, 8077, 12633, 18205, 24793?\n\"Answer: 508*t**2 - 16*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 22\/9 (c) -5 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - 5*x. Let y(k) = k**2 - 13*k + 1. Let a be y(13). Let i(d) = d**3. Let q(z) = a*l(z) + 6*i(z). What is the second derivative of q(p) wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*g**4*w**2 + g**2*q*w**2 - g*q*w**2 - 4*g*q*w + 11*g*q - 1 wrt g?\nAnswer: -372*g**2*w**2 + 2*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**2 - 6*p**2 + 4*p - 2*p**2 - 35*p**3 + 19*p**3 wrt p?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -229 (c) 1 (d) 4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616702 divided by 1.\nAnswer: 616702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 399300 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 61 = -6*h + 11*h, 2*m + 2*h = 26. What is the greatest common divisor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**2 + 452*c + 3360 = 0?\nAnswer: -105, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4655, 9364, 14121, 18932, 23803?\nAnswer: 28740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 2, -13, -34, -61, -94?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3021 - -3030. Solve -44 = m*n - 26 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 526805622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/30*(0 - 0). Let b be (-23)\/(-7) + (-6)\/21. Solve l = 5*a - b*a - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152970809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -190 + 192. Suppose b = 3*d - 5 + 1, 3*b = 5*d - 8. Let i(j) = -d + 4 - q*j**2 - 3. Let n(c) = 6*c**2. What is n(i(x))?\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1396 - 1397.4. Let y = -0.04 + 5.04. What is the third smallest value in i, -0.3, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7254)\/96876 - 4\/72\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-72) - (3\/27)\/(-1). Solve d = -f - 5*h - 1, 3*f + 2 = -h - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r + 1. Let m(x) = -5*x + 1. Suppose 3*g - 2 = 2*g. Give g*m(c) - 3*h(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllllff. What is prob of picking 4 l?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1394, 1\/7, 60?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7080775 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -1663*k**4\/4 - 1980*k - 1097. What is the first derivative of c(f) wrt f?\nAnswer: -4989*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -312*p - 1240. Let d be n(-4). What is the greatest common factor of d and 4020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073896 to four dps.\nAnswer: -0.0739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2 + 156*f + 576 = 0 for f.\nAnswer: -48, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 14 - 3 + 13)*(-48 - 19*k**3 + 48) - 2*k**3 + 6*k**3 - 2*k**3.\nAnswer: -587*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3416 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -7\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 0.02, -4\/3, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*k = -12, -2*m = -6*m + 2*k - 16. Let j be (-9 - m) + 4 - (-12)\/(-2). Suppose 2*x - 16 = -6. Sort j, x, 12.\nAnswer: j, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0 = 15. Solve -d + 1 = -n, -4 = d - 5*d + a*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 - 99. Find the common denominator of -77\/18 and (f + 82\/12)\/(3 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, 51 in descending order.\nAnswer: 51, 5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.123 + -0.11663?\nAnswer: -0.23963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*n + 73*n - 1 + 84*n + 1 - 255*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 390*j*l - 204*j + 3*l + 11 wrt l?\nAnswer: 390*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 937\/11. Which is the closest to -0.2? (a) -2\/5 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2 - 2)*(-6 + 16 + 12)*(0 + 0 - 1)*(2*q**4 + 2*q**2 - 2*q**2).\nAnswer: 44*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.017 - -1.097. Let n = 0.08 - s. Which is the closest to 0.1? (a) n (b) -1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -13 - 6 - 13 - -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j**2 - j. Let l be g(0). Let k = -1\/4 + l. Sort -0.9, -4, k in descending order.\nAnswer: k, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67745368 is divided by 231.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -44*a**3 - 64*a**2 + 26*a. Let w(s) = 22*s**3 + 32*s**2 - 12*s. Let o(m) = 6*c(m) + 13*w(m). What is the third derivative of o(z) wrt z?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 0, -g - 879 = -0*g - 3*j. Let l = 12 + -4. What is the common denominator of 7\/12 and 0 + 3\/(-27)*g\/l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5498*q = 2466*q + 374308 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*h**2 - h**3 - 2*h**3 + 6*h**3 + 4*h**3 - 4*h**3 as q*h**3 + r + v*h**2 + n*h and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0132507 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 366, 289, 168, -3, -230, -519, -876?\n\"Answer: -p**3 - 16*p**2 - 22*p + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 21 - 123*k + 20.\nAnswer: -123*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67\/39 + 173\/78. Which is the closest to t? (a) 61 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 >= 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 9. Let a be o(-7). Is a != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.7395 to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:57 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.386377 litres to millilitres.\nAnswer: 9386.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**8\/14 - y**5\/10 + y**3 - 7*y**2 + 1. Find the third derivative of l(u) wrt u.\nAnswer: -1440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 5:58 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3014 - -3453. Solve 0 = -i + x - 435 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/58*2\/(-3)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 5*z**2 - z + 11. Is 8 a factor of v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 6*b + 1. Let k be t(-4). Let x = 20 - k. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 1353*r = -1358*r + 4, 3*f - 12 = 3*r for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -27. Solve o - y = l, 4*o - 6 = o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 - 2*k - 1. Let a be v(-1). Suppose -4*b + 3*l + 1344 = -l, -2*l + 1687 = a*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/10 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 633*b**3 - 4*b**2 - 22. Is t(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 + -1.24. Let r = -1.24 + 4.6. Let p = r - d. Put 0.3, p, -5 in descending order.\nAnswer: p, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-3) - (1 + -4). Let h = f + -8\/3. What is the closest to 0.4 in h, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdddqqdddqdqdd. Give prob of picking 2 d and 1 q.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 23 = 172. Suppose 6*v - h = v + 3*f, 0 = -v + 4*f + 1. Solve 3*i + v = 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448452?\nAnswer: 2, 3, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/17 (b) 4\/5 (c) -0.1 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -16*l + 7. Let u(k) = -15*k**2 + 25*k - 10. Let h(d) = 2*d**2 - 5*d + 2. Let y(q) = 5*h(q) + u(q). Determine p(y(r)).\nAnswer: 80*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - t - 3*t + 2 = 0, -5*t + 55 = 4*s. Calculate the smallest common multiple of s and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-2 + 3)*-1. Suppose m = 4*i - 15 - 21. Is 15 a factor of (-4160)\/(-72) + 2\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1077437.85 - -214.466.\nAnswer: -1077223.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 + -2.1. Sort -2, -3, c in increasing order.\nAnswer: -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 69. Let h(j) = 20*j**2 - j - 1. Determine h(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 596e7 + 4b?\nAnswer: 59732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136465 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + w = 88, 4*w + 327 = 4*a - 25. Suppose -32 = -i - 2*t + 5*t, 4*i - 4*t - a = 0. Calculate the remainder when 47 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1086 + -1086.4386. Let i = -0.0724 + x. What is i rounded to two dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + 11 - 2\/(-2). Suppose -4*v - 47 = r*y - 228, -291 = -5*y + 4*v. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22 + -11)\/((-1)\/(-2)). Determine z so that -2*z + 2 + v - z**2 - 1 - 21 + 13 = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 12*z + 9. Does 3 divide g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/321 and 1\/296604.\nAnswer: 296604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + 7. Let h(u) = -2*u**2 + 2. Suppose -9 = 3*q, -5*q + 3 = -5*j + 8. Calculate j*t(w) + 7*h(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q + 37 + 153 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 40\/24)\/((-4)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {v: 1, s: 2, u: 5, j: 5, r: 1, t: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -704*y**5 - 5828992*y**4 + 6889588*y**3 - 1689342*y**2 - 149058*y = 0.\nAnswer: -8281, -3\/44, 0, 1\/2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 7. Suppose g - 6 - 1 = -5*i, 0 = 5*i + 4*g - 13. Put i, 2, c in increasing order.\nAnswer: c, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.021 - 28.021. Let g = -14871278 - -14871249.999983. Let j = t - g. What is j rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45509479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 6. Suppose -1 - 18 = n*r - 5*t, 10 = 2*t. Solve 2*o = p - 2*o - 2, 5*p - 10 = r*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 7:07 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.14568 to three dps.\nAnswer: -3.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = -3*z. Let b be z\/4*(-12)\/(-9). Solve -4*w = -a + 11, -4*a + 0*w = b*w - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06343 - -220.93657. Which is bigger: -0.02 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*1\/((-6)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064 + -671744632.965.\nAnswer: -671744633.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/17)*r*r**(-2\/35))**44 assuming r is positive.\nAnswer: r**(26224\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7126585285?\nAnswer: 5, 1425317057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110168?\nAnswer: 2, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 290088 divided by -27?\nAnswer: -10744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-9)\/(-3))\/(-1). Suppose -135 = -5*x + 2*d + 3*d, 3*d = -f*x + 159. Let s = 32 - 22. What is the highest common factor of x and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31286396*t**3 - 841340 wrt t?\nAnswer: -93859188*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4067432 divided by 11236\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/10 + (-2 - -4). Let v = -13 + 8. Is p < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, -8, -4\/11, 1.8, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 74191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**2*n*s**2 - 3*l**2*n - l**2 - 2*l*n + 2*n*s**4 - 12*s wrt s?\nAnswer: 4*l**2*n*s + 8*n*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5103 + 7445. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-190)\/45 - (-6)\/27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 180 = 206. Calculate the highest common factor of 559 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (2 + 3*-2). Factor -f*j**2 + 3*j - 3 + 2*j - 1 + j.\nAnswer: -2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*r + 29 = -1, 0 = 5*x - 5*r - 30. Let p = 0 - x. Let i be -3 - p - (-1 + 1). Let b(l) = -l**3 + 3*l**2 - 2*l + 3. What is b(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2))\/d)**(-1)*d**(-1\/4)\/(d*d\/(d*d\/d**(-2))*d)*d*d**(-1\/10)*d*d**2*(d\/d**(-2\/3))**(-32) assuming d is positive.\nAnswer: d**(-2801\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 23*z + 10 = 0, 5*d - 65 = -4*z. Let a(m) = m**2 - 5*m - 1. Let i be a(5). Let q = 1 - i. Solve p + q*g = -3*p + 14, -4*p - g = -d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-189) - (1225\/(-189))\/7. Solve 4*i = -h - 11, 4*i = 2*h - r - 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 - 2)*(2 - 3 + 0)*(2*f + 1 - 1).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066817 take away -338.4?\nAnswer: 338.466817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -499.3 - -517. Let u = 18.9 - 0.9. Let w = y - u. Which is the third smallest value? (a) w (b) -0.5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t**4 + 2*t + 3*t**3 + 7*t**4 + 12*t**4 to y + h*t**3 + o*t**4 + a*t**2 + l*t and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:39 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14115656.\nAnswer: 2, 1764457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2 (base 15) to base 3.\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -777 - -778. What is the nearest to q in 1.6, -2, 0?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 80904751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 484*k - 2866. Let m be h(6). Let o(a) be the first derivative of 0*a + 33\/2*a**m + 12*a**3 - 33. What is the second derivative of o(v) wrt v?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v - 1. Let y(k) be the first derivative of -57*k**2\/2 + k + 10902. What is t(y(n))?\nAnswer: -912*n + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-6 + (-5 - -9)). Which is greater: -4\/13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 4*l**2 + 2*l**2)*(-4 - 2*l + 4)*(2 - 17 - 32).\nAnswer: -376*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -5*m - 2*m. Suppose 12*u - m = 11*u. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6717 - 180*z**5 - z**2 + 6717 + (-2*z + 5 - 5)*(z**4 + z**4 - z**4) - z + z + z**5.\nAnswer: -181*z**5 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 10 = -0*n. Let h be ((-5)\/2)\/(n\/4). Let r(v) = v**3 - 4*v**2 - 6*v + 3. Calculate r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -180b5cc - 4?\nAnswer: -180b603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) - (-44)\/123. Suppose -19 = 82*p - 17*p - 19. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 3. What are the prime factors of s(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -830606737 + 543015937. Let c = x + 287590805.19999892. Let b = c + -5.2. What is b rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19766841827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 2*v + 19. Let k be c(6). Let g be 1 + 2 + 15\/k. Suppose g = 3*x + 2*x - 500. Does 25 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -9.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j = -5*v - 28, 0 = -4*j - 12. Let w(g) = 2*g**2 + 13*g - 13. Calculate the least common multiple of w(v) and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*y + 136 = -9*y, -v + 5*y = -50. Let f = -108 - -156. Suppose -5*p + 4*n + f = 0, 9 = -p + 4*n + 25. Solve p*b + v = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -933 + 1039. Calculate the remainder when 502 is divided by r.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/4 - 3*a**3 - 5*a**2 - 527. Let s = -12 - -4. Calculate the remainder when z(s) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*f**2*t**3 + 38*f**2 + 74*f*t**3 + f*t**2 - 23*t**2 wrt t.\nAnswer: -162*f**2 + 444*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19932*i*v*w - 6*i - 20517*v*w + 2*w wrt i.\nAnswer: -19932*v*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 20*f**2 - 51*f + 5. What is a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31008, -30977, -30924, -30849, -30752, -30633, -30492?\n\"Answer: 11*c**2 - 2*c - 31017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*l + 4*l. Let z be (-10)\/5 + (-16)\/l. Let m be (-5)\/(-7)*4\/z. What is the closest to -0.1 in -4, 2\/19, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -185 * 1933\nAnswer: -357605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/372 and 97\/62.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1206 - -1806. What is the remainder when a is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 2:35 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 17934241?\nAnswer: 12553968.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49282, -49191, -49044, -48835, -48558, -48207?\n\"Answer: o**3 + 22*o**2 + 18*o - 49323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -1365, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) + sqrt(1701)*-2)\/(((sqrt(9)*-2 - sqrt(9)) + sqrt(9))\/sqrt(3) - sqrt(3)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 3*j + 4. Let l be q(-3). Suppose -b + l*b = 3. Let v(r) = 10*r**2 - r + 8*r**3 - 4*r**2 + r**2 - 6*r**2. What is v(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 7*v + 8. Give k(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfmot. Give prob of picking 1 y and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = -87*p - 24. Let g(n) = -5*n**2 + 4*n - 4. Let v(m) = -m**2. What is p*v(s) + g(s)?\nAnswer: s**2 + 4*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/78*9 - -8. Suppose f - 5*n - 9 = 0, -5*f + n + 13 = -56. Solve -5*u - f = -3*o, 0*u + u + r = -5*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 74020165?\nAnswer: 74020165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87684537?\nAnswer: 3, 29228179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -579309, -1158640, -1737971?\n\"Answer: -579331*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/6, 0.13, 0, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5892760, -5892758, -5892756, -5892754, -5892752, -5892750?\nAnswer: -5892748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 2*x**2 + x - 2. What is f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iviviiii. Give prob of sequence iivi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26864*j**2*q**4 + 2*j**2*q + 2*q**4 - 3*q**2 - 12554 wrt q.\nAnswer: 644736*j**2*q + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/8)\/(r\/r**(-1\/25))*(r*r**(-2\/43))**(-8\/5) assuming r is positive.\nAnswer: r**(-16689\/8600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -678 - -688. What is the greatest common divisor of v and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121866004 to the power of 1\/2, to the nearest integer?\nAnswer: 11039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-13) - (-416)\/(-338).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x - 1. Let b be a(-2). Solve l - 16 = -0*q + b*q, 4*q = -12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/33 and 109\/87209696.\nAnswer: 2877919968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 9, -2 = 5*u - 3*c - 1. Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**4 + 3 + 2*r**3 + r - 2*r**4 - 1 as w*r**2 + b*r + p + g*r**4 + o*r**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12392 - 29902. What is x rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24716270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39049 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-1 + 6 - 945\/(-35). Let m(o) = -o**2 + 34*o - 64. Let d be m(k). Factor 0*h - 3\/7*h**2 + d - 3\/7*h**4 + 6\/7*h**3.\nAnswer: -3*h**2*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kppp when four letters picked without replacement from kkpkccpkpppkk.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-6)*(-12)\/(-180)*11\/((-11)\/26).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*i - 2*i**3 - 13*i - 251*i - 37*i**2.\nAnswer: -2*i**3 - 37*i**2 - 527*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1840971 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-32)\/6)*(-7328)\/(-8244).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or 93508?\nAnswer: 93508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g**3 - 22 - 6 + 31*g**3.\nAnswer: -2*g**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378888?\nAnswer: 2, 3, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2642, -2668, -2732, -2852, -3046, -3332, -3728?\nAnswer: -4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/4)\/x*x*x*x)**13*x**(-6)\/x**(-8) assuming x is positive.\nAnswer: x**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 - 23*k**2 - 11*k**3 + 23*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 405, 900, 1593, 2484, 3573?\nAnswer: 4860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 1034012?\nAnswer: 1034102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 4*k - 4*k)*(187*k**2 - 9851 + 9851).\nAnswer: 374*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1849.007 - -1849. What is the nearest to 1 in -13, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -319 - -340. Suppose -4*k = -h - 17, 5*k - 9 = -2*h - 4. Sort w, 3, h in ascending order.\nAnswer: h, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500 - -711. Let r = o + -77.4. Round r to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.2167 + -2.2167. What is the closest to 0 in -50, 3\/4, 1, x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 + -171. Let d be (35\/(-10) + 3)*m. Which is smaller: d or -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 14072*y - 29. Let w be m(36). Let f = 961563 - w. What is f rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11177254.3 from 1.\nAnswer: -11177253.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q + 198. Let i be r(-63). Solve -6*h - i*h - 45 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5205.866 millennia to months.\nAnswer: 62470392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h**3 + 0*h**7 + 0*h**4 - 17*h**2 + 0 + 0*h**6 + 0*h + 5\/48*h**8 - 3\/20*h**5. Find the third derivative of u(q) wrt q.\nAnswer: 2100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9271*-2\nAnswer: -18542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddsdpdpddssddwdddds. Give prob of sequence pwd.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 2 - 5*p + p + (5 - 5 - 2*p)*(3 + 0 - 2).\nAnswer: -7*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 + 22*k - 9. Is 20 a factor of t(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/22 and -39\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 7*z + 7. What is u(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + g = -40 + 123, -2*h + 8*g = 48. Is 11 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43 times -18.004?\nAnswer: -25.74572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*w - 25, 0 = 2*v - 4*v + 4. Solve -5*n = -1 - w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 - 1 + 2*f**2 + 0 + 20*f + 3*f**3 - 100*f + 0 to q + n*f**2 + p*f**3 + c*f + o*f**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**2 + 33*g + 2. What is the remainder when 98 is divided by z(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:08 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(68)*1*4)**2 - (sqrt(68)*-1 + -2)).\nAnswer: -3270 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41472600 by 150.\nAnswer: 276484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:13 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6670 is divided by 782.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/120 + 3*o**5\/40 + o**4\/4 - 7*o**3\/6 - 4*o**2. Let a(i) be the first derivative of y(i). Factor a(n).\nAnswer: 3*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984691.96 rounded to the nearest 100?\nAnswer: 984700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1267002, 140 in decreasing order.\nAnswer: 140, 3, -1267002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 - 145.07. What is the closest to g in -3, 3\/8, 6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/19, -0.1, -1\/5?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 3*s + 2. Let t be o(-1). Let m = 7 + -6.5. What is the nearest to 0.03 in t, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 - 36 = 0. Let f = -17 + u. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**2\/d*d*d**(-2\/57)*d assuming d is positive.\nAnswer: d**(169\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 11}. What is prob of picking 1 e and 2 z?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16197097 is divided by 228128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 32. Suppose 6*l + 13 = 2*l - 5*f, -2*l = 3*f + 5. Is l greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41094903?\nAnswer: 3, 557, 24593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6*t + 70 = 0. Suppose 0*d + 2*d + 2*z - t = 0, -5*d + z = -7. Suppose -4*s = d*x - 42, -2*x - 4 = s - 37. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0)\/(-26 + 29). Solve 5*g + 18 = -4*y, -3*g - 4 = -y - x*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(49)\/sqrt(112)))**2 + 5 - (sqrt(133) - 2*sqrt(133)*-4)\/(sqrt(63)*2).\nAnswer: -3*sqrt(19)\/2 + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1266999*a**2 + 951329 wrt a?\nAnswer: 2533998*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = -2*d, 0*t - t - 2 = -3*d. Find the third derivative of -2*r**t - r**2 + 0*r**4 - r**2 - r**2 wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -2291?\nAnswer: -1374.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from iikqiquikkciuiiii.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 28*f - 191. Is v(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 234\/36*24\/26. Let b = -1 + 1. Suppose w*z - 8*z + 410 = b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 - 11 = 3*i, -9 = -4*i + f. Let d = -31 - -109. Let m = 388\/5 - d. Which is the nearest to m? (a) i (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -173d9?\nAnswer: 173dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219880, 439975, 660068, 880159, 1100248, 1320335, 1540420?\nAnswer: 1760503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 9*o**2 - 1103*o - 6538. Calculate i(-6).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -89*y**3 - 861774*y**2 + 3448164*y - 3448520.\nAnswer: -(y - 2)**2*(89*y + 862130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5531739, 5531738, 5531737, 5531736?\nAnswer: 5531735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 27276*s**2 - 218037*s + 190764.\nAnswer: -3*(s - 9084)*(s - 7)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2310.2208 months?\nAnswer: 192.5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-139)\/(-12) + (864\/128 - 7))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - a - 1. Suppose x + 20 = 5*y + 6*x, -x + 2 = 0. Let l(c) = -4*c**2 - 4*c - 2. Let f(o) = y*v(o) + l(o). Factor f(i).\nAnswer: -2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p = 315*p - 3309504. What are the prime factors of p?\nAnswer: 2, 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80200 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 1552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 3*x**2 - 26*x - 2. What is the remainder when v(7) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 20 = -u + 1, -3*i + 43 = 55*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -302 - -1518. Suppose 26*a - n = -12*a. Calculate the smallest common multiple of ((-16)\/(-6))\/((-3)\/(-45)) and a.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50fe6 (base 16) in base 7?\nAnswer: -2551126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4749 - 3079. What is the greatest common divisor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 26*i**2 + 2582*i + 5850. Give r(-97).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 107*n + 112*n + 20 = 0, 0 = 4*t + 3*n - 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102012 - 39091. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1411 by -962.\nAnswer: 1411\/962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4*c = -16, 11*c - 6*c + 26 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 1, l: 1, e: 1, p: 1}. What is prob of sequence eln?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.662006405 - -3.662. Round c to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1864 - -1864.2. What is the third smallest value in c, 5, -4, 0.49, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2857, -2929, -3001, -3073, -3145?\n\"Answer: -72*s - 2785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2634 - -2652. Solve -b*s - 16 = -10*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 + 2) - (-3 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -489 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -2. Let l be 0\/(x + -1)*1. Suppose l*t = -2*t + 10. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*q + 93*q = -20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1292, -633, 26, 685?\n\"Answer: 659*x - 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - g. Let q be y(-1). Solve -3*h = -d - 4 - 2, -2*h - 6 = -q*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 42. Let x = o + 23. Let b be (-189)\/(-9)*(-2)\/x. Is -13 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - s**4 + 0*s**4 + (s**2 - 2*s**2 + 2*s**2)*(s + s**2 - s))*(2*s + 5 - 4 + 3).\nAnswer: 4*s**5 + 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 0) + 26 + -60 + -2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-33) + 731\/187. Is (g + -6)\/(-2*4\/912) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/7)*h**3*h**(-5)*h**(-5\/2) assuming h is positive.\nAnswer: h**(-65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (133 + 14)*((-4)\/(-2) - 1). Let p be 5 - 4 - (0 + -56). Suppose b = 4*a - p. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 7*g - 2*g)*(5 + 0 - 1)*(-2 + 2 - 2)*(-2*g + 1 - 1 + 1) as b*g**2 + x + r*g and give r.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 37060*a**3 - 74033*a**3 - 2*a**2 + 36971*a**3.\nAnswer: -2*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) + (-596)\/(-8) - 0. Suppose g = 2*h - i - 102, -2*h - 2 = 0. Calculate the least common multiple of 5\/15 + g\/(-6) and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6 - (0 - (-15)\/18). What is the common denominator of -34\/21 and ((-2)\/(z + -251))\/(6\/1143)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92\/88 - 1)*(5 - 1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234129871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43675690, 43675694, 43675700, 43675708, 43675718, 43675730?\n\"Answer: a**2 + a + 43675688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -149. Let g = -140 - d. Solve 5*l - g*l + 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 + 10?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053 plus -3.3?\nAnswer: 2049.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*l + 841 = -179 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 30, 10\/1553 in ascending order.\nAnswer: -3, 10\/1553, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*w + 70 = 0, 0 = 5*h - 3*w + 7 + 98. Let p be (h\/(-4) + 0)\/((-3)\/(-4)). Let o(u) = 11*u**2 + 6*u. Let b(j) = -j**2 - j. Calculate p*b(g) + o(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 383196 by -22.\nAnswer: -17418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 - 0 - 280\/(-14840)*-424.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 9, b: 3}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b91904 - -c?\nAnswer: -b918d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 11*l + 9. Let o be p(-6). Suppose 172 - 682 = -o*q. List the prime factors of q.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 1. Let n(y) = 474*y + 88. Let x(c) = -951*c - 177. Let p(j) = 9*n(j) + 4*x(j). Let q(k) = p(k) - 84*t(k). Let g(a) = -a. Determine q(g(z)).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -2 - (-3 - 0). Let a be (f - -10)*(-196)\/(-6). Suppose s - 2*g - 48 = 0, -g - 2*g = 4*s - 236. What is the highest common divisor of s and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:31 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/10)*v*v)\/(v*v**8))\/(v**(-11)*v\/v**6) assuming v is positive.\nAnswer: v**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63710088 to the power of 1\/2, to the nearest integer?\nAnswer: 7982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 - o - o**2 + 4*o to f*o + a + c*o**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 4*j - 1. Suppose -3*u + 7*u - 20 = 0. Let c be -4 + u + 1 + 0. Give k(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -50. Let p(h) = 21*h**3 - 15*h**3 - 7*h**3 - 5 - h - 7*h**y. Determine p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -409 + 72*f + 1227 - 413 - 406. Give w(-1).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 1, h: 1}. What is prob of picking 1 h and 2 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3181 - 59360\nAnswer: -62541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38285291*y**4 - 34632316*y**2 wrt y?\nAnswer: -918846984*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6159, 24583, 55271, 98223, 153439, 220919?\nAnswer: 300663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 102. Is ((-147)\/26 + n\/182)*-10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -156400?\nAnswer: -156405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 2, q: 1, i: 1, d: 2}. What is prob of sequence ioq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 653\nAnswer: 19.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -80*z + 1. Let b = -26 - -47. Calculate the remainder when o(-1) is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011817597 to 5 decimal places.\nAnswer: -0.01182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.6815ms in nanoseconds?\nAnswer: 233681500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32*-3*(99\/54)\/11*1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4 + 14. Let w = d - -1. Let x be w\/12 + 10\/(-8). Which is greater: x or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.159386 years to millennia.\nAnswer: 0.000159386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 + 71*k**2 - 13*k + 5. Is y(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -4, -12, 8, -1 in increasing order.\nAnswer: -52, -12, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710886301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*45\/(-120)*(-104)\/(-3432).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 4:15 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -10\/17, -2, -3\/4, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2406 = 3*g - 4*a, 0 = 3*g - 3*a - 1303 - 1106. Calculate the remainder when g is divided by 226.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - j**2 - 2*j. Let s(p) = -7*p**3 + 39*p**2 + 12*p + 7. Give 6*d(f) + s(f).\nAnswer: -f**3 + 33*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11212823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139325*o**5 + 88*o**4 + 12354375*o**2 wrt o?\nAnswer: 8359500*o**2 + 2112*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d. Let h(g) = 412*g. Let t(c) = -2*h(c) + 248*l(c). Let o(z) = -16*z. Give 16*o(b) - 3*t(b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -302?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71863 by 6.\nAnswer: -71863\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -2*c - 5*s + s, -5*c + 5*s = 130. Let g be (-10)\/c - (-2928)\/(-70). Let j = g - -347\/7. Find the common denominator of j and -22\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -98, -80, -44, 16, 106?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, o: 1, z: 6, f: 3, u: 1, w: 4}. Give prob of picking 1 z, 2 o, and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116 + -165 + 38 - -79?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -8. Let i = a - -3.99965. What is i rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 4:39 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -0.04. Let n be ((-16)\/(-12))\/(-4)*3. Let i = 0 + n. Which is the second smallest value? (a) i (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d - 1177278 = 0. Let a be ((-2)\/3)\/((-47)\/17796033). Let s = d + a. Round s to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/315 and 37?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -111221110?\nAnswer: 111221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -9576, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 16, 5, -8, -23?\n\"Answer: -u**2 - 6*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.25*358\nAnswer: 89.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 182 = -0*a - 2*a, 2*a = 3*v - 293. Suppose v = -3*d - 538. Let q = -20 - d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -18, 3 in decreasing order.\nAnswer: 26, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + 493. Let t = m + -271. Suppose i + 83 = 2*l, -l + 4*l - 2*i = t. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/3 and -20\/41769.\nAnswer: 41769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -510 and 204.\nAnswer: -104040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**2 - i + 51813*i**3 + 51801*i**3 - 103603*i**3.\nAnswer: 11*i**3 + 21*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 2 - (2 + -7). Let o = 70 + -50. Suppose 5*j = -f*p + o, p - 10 = -j - 3*j. Is j less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q + 2. Suppose -4*j - 30 = -2*x, -2*x - q*x - 2*j + 27 = 0. Suppose 150 = 7*d - d. Solve -x*u = -2*u - d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-2 + 0) - (-39 - -33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqjqqqq. What is prob of picking 3 q and 1 j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/28)\/(12\/((-72)\/3)). Which is the fourth biggest value? (a) o (b) -23\/5 (c) 0.3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.446 - -25.594. Let y = 27 - g. What is the smallest value in -2, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7 - 23672588417.\nAnswer: -23672588415.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 534, 1206, 2334, 4056, 6510, 9834?\nAnswer: 14166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6*p**2 - 994844*p - 3 + 994844*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 423716.4 weeks?\nAnswer: 2966014.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-189)*3 - 36\/(-126)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000869587 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84114*g**2 - 3*g - 427453*g**2 + 3*g.\nAnswer: -343339*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 10 + 0*f**3 + 6 - f**2 - f**3 + 3*f**3 as l*f + k*f**3 + r*f**2 + q and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 21212?\nAnswer: 21223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001282 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 1, d: 1, y: 1, p: 1}. What is prob of picking 1 n, 1 p, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 5*f - 9, -2*p - 2 = -2*f. What is the remainder when 205 is divided by (45\/(-4))\/(((-6)\/16)\/p)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 333810?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 + l + 4. Let j(a) = -3*a**2 + 3. Let d(w) = -2*g(w) + 3*j(w). Let p(u) be the first derivative of d(u). Determine p(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2566 - 285138. Let y be (283852\/(-6))\/(4\/(-48)). Let h = u + y. Round h to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1413328 and 288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*k - 63*k - 52288 = 932*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or -242?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -21\/574894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n - 1. Suppose 7 + 1 = 8*j. Give o(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 252886?\nAnswer: 3\/126443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3445?\nAnswer: 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, -10, -92, -272, -586, -1070, -1760?\n\"Answer: -6*u**3 + 5*u**2 + 7*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4312 in -1, 2\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/69*9\/12. Let q = 859\/138 + r. Let y = 3159 - 15848\/5. What is the common denominator of y and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**2\/2 - 3*y + 16. Calculate v(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.2734911044 + -666?\nAnswer: -769.2734911044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 18. Let v be z(15). Sort 0.1, v, 0.3 in decreasing order.\nAnswer: v, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2) + (-4 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (552\/36)\/(1\/3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268906 and 1342?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 9:42 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**4 - 43*f**3 - 19*f**2 + 65*f. Let v(n) = n**4 - 2*n**3 + n**2 + n. Let u(i) = a(i) - 5*v(i). Suppose u(t) = 0. Calculate t.\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*b - 286*b = 0. Let f(k) be the third derivative of 1\/5*k**5 - 23*k**2 - k**3 + 0 + 0*k**4 + b*k. Differentiate f(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1284, 5465, 6 in descending order.\nAnswer: 5465, 1284, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 916040, 1832134, 2748358, 3664778, 4581460, 5498470, 6415874, 7333738?\nAnswer: 8252128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 30. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u + 4 + 6*u - 1. Let d be f(5). Let i = -311 + d. What is i rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22162, 44341, 66524, 88711, 110902, 133097, 155296?\nAnswer: 177499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 11*i - 6*i. Suppose -42*f = -62 - 106. Solve 3*q + 28 + 0 = -4*l, -i*l - f = -2*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 5, 103, -21, 33.\nAnswer: -21, -2, 2, 5, 33, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 3*f. Let g(h) = -210 + 210 + 5*h - 3*h**2. Let b(i) = 5*c(i) - 3*g(i). Let l(a) = -7 - 1 + 8 + 2*a. Determine b(l(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a factor of 902853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2860 divided by -110.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 9*y**2 + 5*y + 3. Let z(i) = -i**2 - i - 1. Let d(r) = f(r) + 5*z(r). Let v be d(-3). Let s = 10 - v. Solve 4*g = -4, s*j + 2 = -g + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -3 (c) -119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -12 - 11\/3*u**3 + 0*u**2 + 17*u. Differentiate f(r) wrt r.\nAnswer: -22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5642 or 2\/17?\nAnswer: 5642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*n + 4*l, -5*n = -3*l - l + 66. Let b = -11 - n. What is the second derivative of -10*h**b - 2*h - 6*h**5 + 10*h**3 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4596.0027585 - -4596. What is t rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3 = -6*n. What is the second derivative of -3*p + 2*p**2 + 16*p - 2*p**2 - 3*p**n wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7*m + 21 = 2*j, 22 = -4*m + 2*j. Let z be (-4)\/(-1)*6\/(-4). What is the third biggest value in z, -0.1, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 6*v - 6 = 0. Let w = v + 8. List the prime factors of 0 + (11 - (w - 1)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*5\/10 - 0. Let q(p) = -259*p. Let d be q(k). Let m = d + 1075. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, b: 6}. Give prob of picking 3 b and 1 g.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t**2 + t + 6. Give q(-4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*r*t**2 - 2*i**3*r + 27*i**3*t**2 + 5*i**2*r*t**2 + 2*i**2*r*t - 2*i*t**2 + 2*r*t**2 wrt i.\nAnswer: -6*r*t**2 - 12*r + 162*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -13*j**3 + 5*j**2 - j - 11. Let f be b(-5). Let n = 3356 - f. Suppose 4*c + x + 122 = n, -5*x = c - 363. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 1566 + 111 + 1687 + 0*q**2 + 0*q**2 in the form x + h*q**2 + b*q and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b + 5. Give s(7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7370\/165 - (-92)\/(-96)*8\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -2)\/((-2)\/33). Let g = s - -133\/4. Determine h, given that 1\/2*h**4 - 1\/4*h**5 - 1\/2*h**2 + g*h + 0 + 0*h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/40)\/((-12)\/(-30))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7 - 4207?\nAnswer: -42be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 11:58 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10890000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.048 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:00 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -32*b + 6. Let v(n) = -29*n - 18 + 117*n + 72*n - 12. Let k(i) = 2*v(i) + 11*w(i). What is the tens digit of k(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 - 176. Suppose 0 = -t*q - 3, k - 4*q - 7989 = -6*q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*k - 22 = q, 2*q = k + 9. Suppose 0 = -q*t + 4*t + 10. Let d = -7 + 7.2. What is the smallest value in -2, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*i = -35*i + 134*i - 1905456. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3271 (base 8) to base 13\nAnswer: -a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 44 = 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29054*y - 4*y**2 - 24*y**3 - 29054*y to the form q*y**3 + i*y + l + t*y**2 and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16661814*f**2 + 502090*f - 1?\nAnswer: -33323628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2078*k - 2 + 2 - 495*k**2 - 170*k**3 + 497*k**2 wrt k.\nAnswer: -1020*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, 1 e, and 1 a when four letters picked without replacement from eeykyeayeykaackk?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (4 - 10) + -5. Sort 8, o, -5, 2.\nAnswer: -5, o, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 89*q**5\/5 + 112*q**3 - 4*q - 1962. Find the third derivative of v(g) wrt g.\nAnswer: 2136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4*t**5*(t*t\/(t*t\/t**(-1\/4)))**(-46) assuming t is positive.\nAnswer: t**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**2 + 3*t - 132. Let r be p(4). Suppose 3 = 2*b - i, -b + i = -2 - 2. Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1271 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-3)\/(-9)) + -1 + 2238 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 i when three letters picked without replacement from vveid?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -126534157 take away 1.3?\nAnswer: -126534158.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4\/7 (c) -19 (d) -355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40196 or -40192?\nAnswer: -40196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/81 in 30, -2, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 1 + sqrt(17) - 2*sqrt(1700)) + 2)**2 + (sqrt(153) + -3 + 1 + sqrt(187)\/(sqrt(11) + sqrt(396)*2))**2.\nAnswer: -862*sqrt(17)\/13 + 262110\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(150)\/sqrt(5))\/(sqrt(50)\/sqrt(125)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2294682.\nAnswer: 2, 3, 13, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - q**2 + q - 2. Let u(g) = -2*g**3 + g**2 - 4*g + 8. Give -3*i(c) - u(c).\nAnswer: -c**3 + 2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n**17\/n)\/n)\/n)\/n)\/n*n**(-7\/5) assuming n is positive.\nAnswer: n**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 45*k + 90 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 5:43 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6 - (-16800)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**4 + 33*q**3 + 35*q - 6. Let x(a) = -12*a**4 + 49*a**3 + 52*a - 9. Let b(p) = 7*r(p) - 5*x(p). What is the second derivative of b(f) wrt f?\nAnswer: 48*f**2 - 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318.9 times 5?\nAnswer: -1594.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2 + 784*p + 1564 = 0. Calculate p.\nAnswer: -782, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31991254 is divided by 953.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqtvqvt. Give prob of picking 1 v and 1 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g**8)**(-7\/2))**(1\/24) assuming g is positive.\nAnswer: g**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - h**3 + h**3 + 6*h**4 - 3*h**4 - h**4 + h**4 - 2*h**2 + 2*h**2 + (h - 3*h + h)*(h**2 - h**3 - h**2) - 3*h**3 + 22*h**4 - 41*h**4 + 21*h**4.\nAnswer: 5*h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -15. Suppose 3*t + f*q - 21 = -5*q, -3*t - 4*q = -18. Solve 4 = -3*u - k - 10, -k - t = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - s - 1. Let i(k) = -20*k**2 - 6*k - 65. Let r(v) = i(v) - 6*y(v). Differentiate r(q) wrt q.\nAnswer: -64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 192*r**3 - 3735*r**2 - 22950*r.\nAnswer: -3*r*(r + 15)**2*(r + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3664*g**2 + 3009 - 3009 + 3668*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)*q\/q**(2\/25))**(-1\/8) assuming q is positive.\nAnswer: q**(-33\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 12*o**2 + 11*o + 25. Let i be t(-13). Let g = -17 + i. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 40 = 5*x. Suppose x = 3*y - 13. Suppose n - 38 = -n - u, 3*n - 57 = -u. Calculate the remainder when n is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865127891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**2 - 20*f - 16. Let y(g) = 70*g**2 + 280*g + 225. Let h(t) = -55*a(t) - 4*y(t). Suppose h(z) = 0. Calculate z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394750969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l - 42. Is 30 a factor of l*1 + 6*2\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.178 + -2.31\nAnswer: -2.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 + 13*o**2 - 7*o + 7. Let p be m(6). Sort 0, 6, p, -2 in ascending order.\nAnswer: -2, 0, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37477569 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21159822 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.377453cm to nanometers.\nAnswer: 43774530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662)*2 - (2*sqrt(792) - sqrt(792)))\/(-1*sqrt(98) + sqrt(2) - sqrt(4)\/sqrt(32)).\nAnswer: -64*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 476056259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(2) + 1 - sqrt(2)) + sqrt(10)\/sqrt(80))*6)**2.\nAnswer: -72*sqrt(2) + 1161\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 594*k + 110. Let u(j) = 33*j + 6. Let g(l) = -3*o(l) + 55*u(l). Let b be g(0). Sort b, 13, 2, 1 in increasing order.\nAnswer: b, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 0 - 1\/3*x**4 - 1\/3*x**3 + 3*x - 1\/20*x**5 + 1\/2*x**2. Does 3 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 5. Suppose -5*y + 26 = -o, o - 4*y - 6 = -28. Let c(m) = -16*m - 33. Let d(s) = 9*s + 17. Let i(t) = -3*c(t) - 5*d(t). Give o*i(x) + 17*z(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5119 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -310?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1429*v + 1429*v + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -4*q**3\/3 - 11*q**2 + q. Let v(g) = 11*g**2 - 11*g + 22. Let t be v(2). Let k(p) = p + 3. Give t*k(i) + 6*c(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 744\/6 - (20 - 10). Let m be (-12)\/9*114\/(-4). What is the highest common factor of z and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -367972 (base 10) to base 13\nAnswer: -cb647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.12089162 + -9?\nAnswer: -10.12089162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/27))**(9\/7))**(-8\/9) assuming y is positive.\nAnswer: y**(16\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/97944 and -73\/14098?\nAnswer: 1860936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28676953.99849 - 28676625. Let j = -4.95 - 324.05. Let q = s + j. Round q to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 43. Let p = -291 - -291.313. Let m = p - -0.187. Put 0.8, m, f in increasing order.\nAnswer: m, 0.8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 3, 1\/3, -2\/5, 1\/276, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544741, 1089808, 1634877, 2179948, 2725021, 3270096?\nAnswer: 3815173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*n = -11, 4*g - 110*n - 15 = -107*n. Let t be (-5)\/7 - (3 + -4). Let v = 26 + -24. Put t, g, -3, v in ascending order.\nAnswer: -3, t, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 0*a + a)*(2 + 2*a - 2) + 1429*a - 81*a**2 - 1429*a to p*a + c*a**2 + h and give c.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.088 and 1.02?\nAnswer: 0.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 47. Let g be q(21). Let x(b) = 11*b - 47. Let w be x(g). Solve 2*a - w = 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.024702 and -1.\nAnswer: -0.024702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(144\/(-70) + 2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 88908 = -196092. What is p rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -724 - -3038. Suppose -4*o - 1 = -5*o, q + 1592 = -5*o. Let u = x + q. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*o**3 - 69648*o**2 - 46438*o - 7740.\nAnswer: 2*(o - 3870)*(3*o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 158*k - 158*k + 14*k**3 + (k + 2*k - 2*k)*(-2 - 2 + 7 + 2*k**2).\nAnswer: 16*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgg when three letters picked without replacement from {g: 2, l: 5, q: 8}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 999068.7 rounded to the nearest ten thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173, 405, 637?\n\"Answer: 232*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2.1. Let h = 13645\/654 + -10\/327. Let s = -21 + h. Which is the third smallest value? (a) -0.1 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4610 + 4621. Let p(k) = 4*k + 3. Let d be p(3). Solve 6*s + d = g*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 3*l**2 - l - 2. Let f be (6 + -4)\/((-6)\/9). Determine m(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -101. Solve -5*j + n = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-375)\/18 + 21 + (-1)\/(-12). Let x = 0.34 - -0.06. Sort -4, n, x in decreasing order.\nAnswer: x, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15225 (base 10) to base 8.\nAnswer: -35571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 391757, 783568, 1175379?\nAnswer: 1567190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102120 - 12?\nAnswer: -11102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 10 = -5*h, -23*g + 19*g - 3*h + 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 153 - -10c1?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**4 + 648*h**3 - 902416*h**2 - 1807392*h = 0.\nAnswer: -562, -2, 0, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*t = -188*t + 27. Suppose -t*a + 935 = 929. Solve 0 - 1\/3*v**a + v = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 6\/(1 + -3). Let p be (a + -2)*1\/5. Is -1 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7625 - 12790.8375. What is z rounded to the nearest 10?\nAnswer: -12790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o + j = -8, -o - 1 = -4*j. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1\/3))\/x)**(-2\/81)\/(x**(-1))**(-12\/7))\/((x*x*x**(-4\/9))\/x*x*((x\/(x**7\/x))\/x)\/x)**(-7) assuming x is positive.\nAnswer: x**(-67757\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 5 + 1\/3*b**3 + 0*b + 0*b**2. Let u(y) be the second derivative of -y**3\/2 - 13*y + 2. What is n(u(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2777578*u**3 + 95783*u wrt u?\nAnswer: 16665468*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 at least as big as -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (456\/60)\/(-19) - 54\/(-10). What is the nearest to 0.1 in -13, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -23*u**2 + 4*u**2 + 0*u**2. Let q(n) be the third derivative of 0*n**3 + 6*n**2 + 1\/24*n**4 + 0 + 0*n. What is q(o(m))?\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, 10, 0.4.\nAnswer: -1\/31, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 - 452*u\/11 + 174800.\nAnswer: -2*(u - 874)*(u + 1100)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35180 and -0.21.\nAnswer: 7387.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(sqrt(72) + 2 + sqrt(72)) + ((sqrt(72) - 5*2*sqrt(72))**2 - ((sqrt(72) + -1)*-3 + sqrt(72))) + 4.\nAnswer: 60*sqrt(2) + 5841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72? (a) 2 (b) 0 (c) -1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. Let v be u\/(12\/10)*2. Suppose -3*z = -6*z + 4*x - 9, 3*x - 15 = v*z. What is the second smallest value in z, -4, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*p + 2*k, k = 5*p + 1 - 24. Suppose -2*w + 2 = -d, d - 3*d = -p. What is the third derivative of -3*j**2 + 3*j**2 + j**w - 2*j**5 wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -26. Let x = r - -132. Suppose 5*k - x = 5*m, -4*k + k + 106 = 2*m. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 51 = x, 4*x - 147 = -5*k + 132. Is 67 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**2\/2 - a + 98. Let p(t) = -3*t**2 + 3*t + 2 + t**2 + t. Let j = -19 - -18. Determine j*p(f) - 2*v(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204*o**4 - 2*o**3 - 5*o + 87 wrt o.\nAnswer: -2448*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*2 - sqrt(132) - sqrt(132))*5 + (-2*3*sqrt(132) - sqrt(132)))\/(-1*-1*(sqrt(108) + 1*sqrt(108))))**2.\nAnswer: 539\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -107*d + 8 + 100*d + 7*d**3 - 2*d**2 - 11. Let v(q) = 3*q**3 - q**2 - 3*q - 1. Let o(x) = 2*k(x) - 5*v(x). Find h, given that o(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 525345?\nAnswer: -525401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 37*v - 3348 = 0. Put -4, -2, v in ascending order.\nAnswer: v, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*b - 5*z, -3*z = -29*b + 33*b + 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6756 + 60862\/9. Let p = -17 + 73. Let z = 18 - p. What is the common denominator of r and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-8))\/(0 - 205\/(-3936))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6357 is divided by 2112.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 24*y. Let k(c) = 5*c**2 + 4. Let n(d) = -3*d**2 - 3. Let x(p) = 3*k(p) + 4*n(p). Calculate x(j(g)).\nAnswer: 1728*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2302 + -1047. Suppose -5*p - 4*o = -1255, 2*p - 4*o - i = -3*p. What are the prime factors of p?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -30. Let n = 60.4 + -60. Which is the smallest value? (a) j (b) -1\/4 (c) 0.1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 924, 2271, 3618, 4965, 6312?\n\"Answer: 1347*s - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -113.45. Let t = -0.05 + p. Let x = -0.5 + t. What is the closest to -1\/4 in x, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 11*r - 21. Suppose -5*p + 155 = r*j, p - j = -6*j + 31. Calculate the remainder when 151 is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g + 15. Let x(s) = -2*s - 28. Let q be x(-13). Which is the closest to q? (a) g (b) 2\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -32\/1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 42216*j + 3 - j**2 + 42210*j.\nAnswer: -j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.12 - -33. Let i = -0.1295 - j. What is i rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45540 + 22041375\/484. Find the common denominator of z and -77\/10.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8369\/5 or -1674?\nAnswer: -8369\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 5*v**2 + 3*v)*(-23*v**2 + 64*v - 64*v).\nAnswer: -115*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 2209752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 30 = 4*f. Let m(b) = 2*b + 3. Let g(y) = 1. Let n(c) = 4*g(c) - m(c). What is the tens digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022112122 (base 3) to base 10.\nAnswer: 45593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**3\/11 - 483342*w**2\/11 - 881374518*w + 143042547186 = 0. What is w?\nAnswer: -40359, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 123*j**2 - 5*j. Let k be l(-5). Let w = k - 1678. Suppose 0 = -5*g + w + 6478. Round g to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0423269 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 = 4*u, -7*u + s = -2*u - 12. Suppose -4*t - 14 = 2*j, u*t - 3*j + 33 = -0*j. Sort -1\/4, 5, t in descending order.\nAnswer: 5, -1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 324, 498, 674, 852?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1)\/((-2)\/4). Let q(r) = 0*r + 4 - r**3 + 0*r + v*r**2 - 3*r. Let k be q(3). Solve i + 4*i + 4*m = 1, k*i + 2*m = -4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3964 = -2*x - 4*l + 8*l, -l = 5. Suppose 2*p - 376 = -4*d + 936, 5*d - x = -3*p. List the prime factors of p.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**8*h**(-2)*(h**8\/h)\/(h\/h**(-1\/17)) assuming h is positive.\nAnswer: h**(-52\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/9 + 38*a**2\/9 - 40*a\/9 = 0.\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - 26. Let j = a + 283\/3. Is -1\/4 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166928, -166929, -166930, -166931, -166932?\nAnswer: -166933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmbi when four letters picked without replacement from {b: 3, m: 4, t: 1, i: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1757 and -1755 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7748452 is divided by 1937103.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21724?\nAnswer: 2, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151 + 181 - 84)*(-2*n + n + 2*n).\nAnswer: 248*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 79 + 0*i**3 + 15*i + 12*i**2 - 98 - i**3. Let l be c(13). Suppose l*g - 19 - 9 = 0. Solve -g*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 24*y - 36*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212484 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -568. Let r = 485.003015 - o. What is r rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - q - 1. Let r(f) = 1. Let u(g) = -i(g) - 2*r(g). Let x(p) be the first derivative of u(p). Calculate the remainder when 31 is divided by x(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/7, 0.029, -1\/3, 2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 339297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-38) - (-940)\/95. Differentiate 5 + p + 6 - 3*o - 32 wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 12*v + 4. What is o(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssnnnsnsssssssssn. What is prob of picking 1 s and 3 n?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25990.08 - -25990. Which is the biggest value? (a) p (b) -0.4 (c) 3 (d) 0.1 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1712 divided by -428\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -427950\/7 <= -61135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4231 (base 5) in base 11?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-54)*(-108)\/(-72)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**3 + 2*a**2 - 65*a + 9. Let p(h) = -3*h**3 + h**2 - 32*h + 4. Let g(j) = -9*p(j) + 4*u(j). Find the second derivative of g(v) wrt v.\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -718.8 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*u - 178*u + 76*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 - 21*l + 3 - 2 + 19*l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*d**3 - 55*d**3 - 131*d**3.\nAnswer: -374*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1025673630 and 9\/11.\nAnswer: 11282409930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -112077122 rounded to the nearest ten thousand?\nAnswer: -112080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-44)\/10 - 7\/5. Let d be (-2)\/(-18)*(10 + -3 + a). Find o, given that -o**2 - 1\/3*o**3 + d*o**4 + 1\/3 + 1\/3*o = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 a when four letters picked without replacement from kkottaotoooaaooaoo?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 100*n**4 + 2*n**3 - 7*n**2 - 3*n + 7. Let l(w) = -w**4 - 3*w**2 - w. Let u(z) = h(z) - 3*l(z). What is the third derivative of u(s) wrt s?\nAnswer: 2472*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 + o**2)*(4*o**2 - 2*o**2 + 0*o**2) - 14*o**4 + 6*o**4 + 7*o**4.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5405340 divided by 30?\nAnswer: -180178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 251*z - 12 + 2*z**2 - 519*z - 4*z**2 + 255*z + 1 in the form h*z + a + j*z**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**2 + 11*r - 28. What are the prime factors of v(7)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - z**2 + z + 3. Let g be n(3). Let m = g + -22. Let x = -37.539 - -42.539. Which is the second smallest value? (a) -3 (b) x (c) -2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7137, 28583, 64355, 114477, 178973, 257867?\nAnswer: 351183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 572 - 594.8. Let u = -55 - -78. Let m = u + q. What is the nearest to m in -1\/6, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 5916468*w**5\/25 - 580413*w**4\/20 - 59724*w**3\/5 - 5304*w**2\/5 - 192*w\/5 + 1186. Suppose x(j) = 0. What is j?\nAnswer: -4\/79, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*i - 105 = 0, -2*c - 4*i = -7*c + 65. Let a(q) = -13*q + 228. What is a(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -0.3 (c) 2\/25 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 57 = -5*v, -3 = -2*v - 4*x - 31. Let p(i) = -i**2 - 15*i. Let h = -4 + 14. What is the remainder when p(v) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = 4*t, -2*t = -3*s + 16. Let o = -5 + s. Suppose 3*p - 48 = -5*w, -12 = -2*p - 5*w + 20. Solve -o*n - 4 = -p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042524699 to 7 decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*t + 72 = -3*h + 82*t + 71, 2*h + 0*h + 3*t - 1 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390.123ml in litres?\nAnswer: 1.390123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170908, 341843, 512814, 683839, 854936, 1026123?\nAnswer: 1197418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 8*j + 35. Let g be v(-3). Differentiate 198*r**2 + 200*r**2 - 141 - 396*r**g + 13*r wrt r.\nAnswer: 4*r + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*q + 1012 = 6277. What is the least common multiple of q and 189?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**2 + 0*y**2 - y**3 - 1 + 109*y - 121*y. What is the units digit of n(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/18 + (-38)\/(-68). What is the nearest to 1\/3 in -1\/3, o, -4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -825.258 * 8\nAnswer: -6602.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/16023 - 2155\/1073541. Is o greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2 + 227*f - 5090 + 97*f + 3942 wrt f.\nAnswer: -2*f + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 97876057 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 41*k**2 + 133*k - 1144. Give d(10).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + 13. Suppose -o = -5*r - 25, o - 2*r - 4 - 24 = 0. Calculate the remainder when i is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -546 - 92*f + 1395*f**2 - 1396*f**2 - 93*f.\nAnswer: -(f + 3)*(f + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3310)\/(-10) + 0 - (3 + 1). Suppose -1011 = -2*c - 5*p, 2*p = -c + r + 176. What are the prime factors of c?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -13. Let c(m) = -m**3 - 4*m**2 + 6*m + 3. Let w be c(-5). Let o = w + 5. What is the remainder when k is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/156 - 428\/13*-11. Suppose -4*l - m = -1346. Is 41 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 11, i: 2}. What is prob of picking 2 q and 1 r?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((-6)\/135 + (-15065)\/10350)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 7:43 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10631220 by -15.\nAnswer: 708748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16579, 16587, 16593, 16597, 16599, 16599?\nAnswer: 16597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2*f*y - 3*c**2*f - 1223*c**2*y + c**2 - 9*c*f + 7*c*y + 2*c + 2734*f wrt c?\nAnswer: -8*f*y - 6*f - 2446*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*f + 233, 4*y - 97 = 5*f - 1023. Let u = y - -362. Calculate the greatest common divisor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooohhoho. Give prob of sequence oho.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 25\/((-500)\/272)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 8*m**2 + 5*m + 13. What is f(-6)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 11. Is s < -1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 + 23 - 372)*(-270*v**3 + 270*v**3 + 19*v**4).\nAnswer: -8664*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 3*z**2 + 2*z - 2. Let n(m) = m**2 - m + 3. Let c be n(0). Let f be q(c). Is 11 a factor of (15\/f)\/(4\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 35*p + 40. Give h(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16985477 + -2?\nAnswer: 16985475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1418 or -1420?\nAnswer: -1418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (35762 - 1) + 12 + (-8 - 24\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h*s**3 + 749*h*s**2*w**3 + h*s**2*w**2 + 5716*h*w**3 - 9425071*s**3*w**3 wrt s?\nAnswer: -36*h - 56550426*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.993 - -15. Let o = 543836.00700074 + -543836. Let f = k - o. Round f to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -0.03. Let z = 0.08 - k. Let q = -0.03000008 + z. What is q rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*r = 16*r + 7904. Is 50 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2111, -6996, -11883, -16772, -21663, -26556?\n\"Answer: -c**2 - 4882*c + 2772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8668*h - 2*h**3 + 3*h**2 + 1 - h**2 - 8384*h - h**3 - h**3 - 2*h**3 + 3 - h**3 - 3 + (-3*h + 4*h - 3*h)*(0*h**2 + h**2 - 3*h**2).\nAnswer: -3*h**3 + 2*h**2 + 284*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/17 + 1 + 31. What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(588)\/sqrt(3))\/(-4*(sqrt(2) - sqrt(2)*-3 - sqrt(2))))**2 + 2)*-6.\nAnswer: -193\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 12*c**2 + 12*c - 11. Let r be a(-13). Factor 1\/3*v**4 + 0*v**3 - v**r + 0 + 2\/3*v.\nAnswer: v*(v - 1)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6408 divided by 2.\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 564326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-10 + 16*u + 10) + 5*u - 2*u - 4*u + (2*u + 1 - 1)*(-4 + 1 - 1).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = 3*b + 3741, 4*d - b = 4991. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112303392.\nAnswer: 2, 3, 1169827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44201.\nAnswer: 44201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4*(sqrt(312) + -2*sqrt(312) + sqrt(312)))\/sqrt(6))\/((6*sqrt(8)\/sqrt(2) + 1*sqrt(16)\/sqrt(4))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 507. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**3 - 6805*r + 3. Let m(l) = -37*l**3 + 34026*l - 14. Determine -14*f(b) - 3*m(b).\nAnswer: -b**3 - 6808*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6705, -6713, -6733, -6771, -6833, -6925?\n\"Answer: -y**3 - y - 6703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -52201471 (base 8) to base 16\nAnswer: -a90339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*b - 557*b = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 3335181\nAnswer: 1334072.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 5*y**2 + 11*y + 6. Calculate the remainder when w(-7) is divided by ((-57)\/12 - -4)*-20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7684 + -7687. Let l(f) = 2*f**3 + 3*f**2 - 8*f - 16. Give l(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/12 and 187\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 9 = -37*u + 39*u, -5*f + 19 = -3*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -201\/8 - -27. Let t = 22636 - 45269\/2. What is the second smallest value in t, i, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1165 + 1265. Calculate the remainder when 176 is divided by k.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6)*-3)\/(-1). Let k = 0 + w. Let z be (-1)\/(-6)*(-4)\/(-3). Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohoohohoooo. Give prob of picking 1 o and 1 h.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2224 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1038 - -167. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v + 12*v - 21899*v**3 - 43607*v**3.\nAnswer: -65506*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 1, t: 1, l: 2, o: 2}. What is prob of sequence lz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecye when four letters picked without replacement from {y: 5, c: 2, d: 3, e: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 6:36 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 = 2*q + z + 76, 4*z + 618 = 3*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 4. Let b be h(5). Let g(o) = -5*o - 8. Let t be g(-2). Solve b = -c - t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 466855122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9614, -19247, -28908, -38603, -48338?\n\"Answer: -c**3 - 8*c**2 - 9602*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 335 and -0.442.\nAnswer: 334.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529616 is divided by 7255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/8)*m))\/m**1)**36 assuming m is positive.\nAnswer: m**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + (-9)\/7 + -3. Let v be (-294)\/i*5*82\/15. Suppose 3*c + 338 = v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/(z\/z**(1\/2)))\/(z**2)**(-49))**(2\/71) assuming z is positive.\nAnswer: z**(183\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (-5)\/((-1)\/1) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/((-4)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002 minus -0.8?\nAnswer: -3001.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -12*w**3 - 5*w**2 + 6. Let b be (26\/(-78))\/(1 + 224\/(-222)). Let r(c) = 11*c**3 - b*c - 32*c - 5 + 4*c**2 + 69*c. What is -5*g(j) - 6*r(j)?\nAnswer: -6*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14991.44*-248.\nAnswer: 3717877.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -379, -784, -1201, -1636, -2095, -2584, -3109, -3676?\n\"Answer: -r**3 - 398*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010001011 (base 2) in base 5?\nAnswer: -141041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203*h**2 + 9*h wrt h.\nAnswer: -406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25.604322 and -1632.581.\nAnswer: -1606.976678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:23 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -5 (c) -40 (d) 2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70310091.\nAnswer: 3, 23436697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -16. Suppose -2*d = -4*m + h*m + 1, 3*m - 3*d - 6 = 0. Solve 0 = -f - 3*k + 11, -f - 5*k + m + 16 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*t - 113, 3*t = -0*t - 2*r + 109. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21441244 - 240?\nAnswer: 21441004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*n - 466, 2*n - 3*r = -n + 462. Suppose s + n = 11*s. Solve -2*l + s - 11 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -624.\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 14)*6\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, w: 4, u: 2, r: 1}. What is prob of sequence ro?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7881 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -397 (b) 3\/4 (c) 2\/7 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11+-33335980241\nAnswer: -33335980230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o - 8 = 0. Let c = o + 0. Let h be (5 + -1)\/(c\/5). Solve 3*x + h - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*m + 12 = 6*m, 3*m - 9 = -5*j. Let i be (-25)\/(-10)*4\/(-9). Does j = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 2*y)*(31*y + 41*y - 20*y).\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49966774 to the nearest integer?\nAnswer: 7069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyy when three letters picked without replacement from {u: 6, y: 13}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 15*d**2 - 17*d - 10. Let t be w(-16). Differentiate -t + 1 - 5*h + 6 + 3 with respect to h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/10 + (-1)\/5. Suppose a*r - 122 = 4*h, -3*r + h = -2*h - 168. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10213\/10169 or 1?\nAnswer: 10213\/10169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/(-30)*(3 - 1 - 3) and -95\/382.\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63127 (base 8) to base 15.\nAnswer: 7b69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 2. Let x be o\/(-4) - 101\/(-4). Suppose 0 = 2*p + 2*p. Solve 5*b + x = -p*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2323\/5 + 16266\/35. Sort -103, 2, m, 1 in increasing order.\nAnswer: -103, m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(3) - (4 + sqrt(75))) + -3)*-6.\nAnswer: -252 - 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:17 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 3*d + 5. Let q(y) = -7*y**2 + 5*y - 9. Give -6*q(m) - 11*t(m).\nAnswer: -2*m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0, 4, 18, -115?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*l**2 + 7*l**2 + 43*l**2 in the form c*l**2 + k + f*l and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -587, -593, -603, -617, -635?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/(t\/t**(-2\/7)))\/t)*t)\/t*(t*t*t**(3\/5))\/t assuming t is positive.\nAnswer: t**(101\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 5*h**2 + 5*h + 3. Let z be m(-4). Let v = -6 - -11. Let w = -225\/4 + 57. What is the nearest to z in w, v, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2071, -2178, -2285, -2392?\n\"Answer: -107*d - 1964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.068217621 to 5 decimal places.\nAnswer: 0.06822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 7. Let k be (6\/(-15))\/(i\/10). Suppose -z - k*l + 40 = 2*z, -2*z = -3*l - 38. What is the least common multiple of 24 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, -45, -2, 30, 39 in increasing order.\nAnswer: -45, -17, -2, 0, 30, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2448) + (0 + sqrt(2448))*-4 + sqrt(2448))**2*5.\nAnswer: -960*sqrt(17) + 49040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.046 and 0.65?\nAnswer: 0.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 358 = 6*l - p, 3*l = 4*p + 262. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 781747*w**3 - 10*w**2 - 252*w + 25080 wrt w?\nAnswer: 4690482*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -822557\/850 - -16410\/17. Calculate the common denominator of 187\/240 and l.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1151 = 2*x - 1169. Solve -3*q - x + 0 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 11) to base 14\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -20. Let x(o) = -o**3 - 5*o**2 - 4*o - 57. Let m be x(v). Factor 2\/9*d**5 + 0 + 0*d - 2\/9*d**2 - 2\/9*d**m + 2\/9*d**4.\nAnswer: 2*d**2*(d - 1)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z + 199. Let c(a) = -9*a + 199. What is -3*c(k) + 2*f(k)?\nAnswer: k - 199","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 29 = -4*i, -2*i = 4*h - 16. Suppose -h*q - 4 = -12. Suppose -3*v - 14 = -5*j, q*v - 8 - 16 = -4*j. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*b - 909*b - 22792 = -832*b - 5979 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 1. Let d be j(0). Suppose -4*x - d = -5. Let c(f) = 3 + x - 2 - f. Give c(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 5, -2\/3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31965709903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001000 - -101?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10844, 44304, 100386, 179096, 280440?\nAnswer: 404424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*i - 12*i + 99. Suppose -w = -3*h + 3*w - 22, -8 = 2*h - w. Put h, i, 6, 5 in descending order.\nAnswer: 6, 5, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 2*n**3 + 46 - 10 - 10 to p*n + v*n**3 + x + w*n**2 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a50 (base 14) in base 11?\nAnswer: 54283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2418.523697 to 1 dp.\nAnswer: 2418.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-190 + 178 - (1 + -9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 5*f. Let t be g(5). Let z = -45 + 49. What is the second derivative of z*y**5 - 5*y**5 + t*y**5 + 5*y + 5*y**5 wrt y?\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2) + 0 - (1*sqrt(26))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-2 + 2)) + (-7 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {l: 1, c: 1, k: 3, w: 5, m: 3, v: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:17 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s\/(s**(-1\/28)\/s))\/s)**(9\/11))**(-42))**(4\/13))**(-50) assuming s is positive.\nAnswer: s**(78300\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-126)\/(198443\/(-22050) + 9). What is k rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-36)*-1*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)\/l**7*(l\/(l*l**(9\/4)*l))\/((l*l\/(l*l**14)*l)\/l*l*l) assuming l is positive.\nAnswer: l**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 11:14 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1241 + -10?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -1\/3*h**3 + 1\/8*h**4 + 0 - 2*h**2 + 0*h. What is the derivative of f(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**3 - 15*r + 25*r - 208 - 28*r + 215 in the form v*r**3 + i + c*r**2 + j*r and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2116, 256, 0.08, 2 in descending order.\nAnswer: 256, 2, 0.08, -2116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13711 - -6?\nAnswer: 13717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22030 (base 6) to base 13\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4177\/4792 + 2\/599. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-350*x - 893*x + 913 - 913)*(x**2 + 2 - 2 + (-3 + 2*x + 3)*(-4 + 4 - 7*x)).\nAnswer: 16159*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4772, 4727, 4680, 4631, 4580?\n\"Answer: -p**2 - 42*p + 4815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q, -7*k - 5*q + 7908 = -4*k. Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrworommvrrrvorroomv. What is prob of sequence vm?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/2487302 or -0.11?\nAnswer: 5\/2487302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 6:03 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**3\/3 + 25*f. Let b(h) = 16*h**2 + 17*h**2 - 37*h**2. Give b(m(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*a + 2417 + 33456 - 5193 = 581*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Total of -38427759 and 3.\nAnswer: -38427756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6752 - -7116. What is the least common multiple of c and 14?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + -17. Let d be (v\/6)\/((-21)\/(-63)). Let s = 57 + d. Solve -4 = -m - 0*i + 5*i, s*i = 5*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 + 9) - (-4 - -6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let d(q) = -19*q**2 + 2*q + 2. Let j(a) = -799*a**2 + 85*a + 85. Let s(i) = 85*d(i) - 2*j(i). Give z(s(l)).\nAnswer: 289*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3*f - 7*f)*(4*f - 3*f + f)*(-4*f**2 + 4*f**2 + 4*f**2).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-200)\/(-56) - (-3)\/7. Suppose -4*r = -p - 20. Suppose -3*t - 6 = -q + r, -4*t - 12 = 0. Solve -q*f = y + 2*f - 17, 21 = -3*y + 3*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - (-45849)\/21. Let j = z - 1497. Factor -126*h**3 - 152*h + j*h**4 - 420*h**2 + 8 + 28*h**3 - 24.\nAnswer: 2*(h - 1)*(7*h + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 minus 0.0147?\nAnswer: -0.2747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/12)\/(h\/h**6)*h**(-1\/7)\/(h*h\/h**(2\/21)*h) assuming h is positive.\nAnswer: h**(157\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 5:24 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 1:10 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -7232, -58.\nAnswer: -7232, -58, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**3 + x**2 + 3*x - 3. Let y(d) = 8*d**3 + d**2 + 4*d - 4. Determine 4*h(r) - 3*y(r).\nAnswer: 8*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1139580 is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-1)\/5 - 366\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdpddtgdpddtpdd. Give prob of picking 2 t.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/4 - 217389*p**2\/4 - 98720226*p - 45019699289 = 0.\nAnswer: -215561, -914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x**3 - 130*x**3 + 33*x**3 + 32*x**3 + 34*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 2\/13 (c) 4 (d) -9 (e) -0.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*g - 4*l + 19, 0 = -4*l + 4. Is (-186)\/(-4)*g\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1363765891*z + 1363765875*z + 2 - 3.\nAnswer: -16*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8914, -8912, -8908, -8902, -8894, -8884?\n\"Answer: m**2 - m - 8914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f\/f**(1\/8)*f*f))\/f*f)**(-23)*f**(-11)\/(f\/(f*f\/f**(-1\/16)*f*f*f*f)) assuming f is positive.\nAnswer: f**(227\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6\/5))**(-2\/115)\/(q**(-3\/4))**(1\/29) assuming q is positive.\nAnswer: q**(3117\/66700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 s, and 1 g when four letters picked without replacement from glldsdlzdss.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/((-21)\/70). Suppose -k*h + 0 + 5 = 0. Suppose h = -c + 3. Solve 3*p - 5 = -c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n - 2*n**3 + 2 + 3*n - 4*n**2 - 3. Suppose 146 - 1073 = 3*k. Let g = -311 - k. Calculate v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-135)*18\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 0*p + 6 + 4*p - 5*p + p**3 + 5*p**2 + 3 - 8. Calculate the remainder when 86 is divided by o(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 14 + 1. Suppose -20 = -3*t - g, -g + a*g - 25 = -3*t. Let j be (-23)\/t + (-6)\/15. Put -4, -1, j in decreasing order.\nAnswer: -1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39117808 divided by -6?\nAnswer: -19558904\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 - -102. Let c be (-2)\/t - (-2 - (-4481)\/2640). Let z = 1\/80 + c. What is the biggest value in z, 2\/13, -0.9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 2*u + 0*u**2 + 0 - 1\/30*u**5 - 1\/4*u**4 - 1\/3*u**3. Let f(a) be the second derivative of j(a). Give f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s + 6*s + 6*s)*(4*s**2 + 0*s**2 - 2*s**2) + 0*s**2 - 1 + 0*s**2 - 2*s**3.\nAnswer: 4*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 130*y**3 + 2556*y**2 - 12992*y - 15680.\nAnswer: 2*(y - 28)**2*(y - 10)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(52)\/sqrt(4) + 1 - ((sqrt(637))**2 + 4)).\nAnswer: -3840 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7c3 - -8?\nAnswer: -b7ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) 3.6 (c) -2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 != -1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:50 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/21)\/(2\/3). Let q = 4.327 + -0.347. Let y = -0.02 - q. Put y, a, 1 in decreasing order.\nAnswer: 1, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-76)\/(-5) + (1\/5)\/(-1). Calculate the highest common divisor of l and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**5 - 655*m**4\/3 - 745*m**3\/3 + 4565*m**2 + 12540*m + 6300 = 0.\nAnswer: -42, -3, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 11:51 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - b - 1048 + 0*b.\nAnswer: b - 1048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0)*75\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Let h(f) = 1. Let w(m) = -2*m + 6. Suppose 189 = 5*j + 39. Let r(p) = j*h(p) - 5*w(p). Determine r(a(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/18 + (12 - 16)\/(-2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**4\/6 + 4*c**3\/3 - c**2 + c. Let t(g) = g. Let q = 387 - 386. What is q*j(l) - 6*t(l)?\nAnswer: 2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1547*a + 4552*a - 309920 = 389454 - 193157 for a.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -21. Suppose 5*a - 4*v - 48 = 1, x*a = v + 22. Let w(t) = t**2 - 13*t + 1. Let h be w(a). Calculate the greatest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324216301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 8*j**2 + 2*j - 11. Calculate n(6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d. Let s(t) = -23*t - 138. Let i be s(-6). Let u(h) be the second derivative of -1\/6*h**4 + i + 0*h**2 - 4*h + 0*h**3. Determine r(u(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*t**2 - t**4 - t**4 + 39*t**2 - 5445 + 18*t**2 - 2*t**3 + 3*t**4 to the form a*t**4 + p + z*t + v*t**3 + i*t**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 843?\nAnswer: 9273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134944 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3763493573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 9 = 2*v. Suppose 48 = 4*u + 4*h, 5*u - u + 3*h = 45. Let s be -2*(u\/(-6))\/(-3). Put v, s, 5 in ascending order.\nAnswer: v, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n - 15. What are the prime factors of w(-11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*h + 2*h + 62, 0 = 3*b + 5*h - 38. What is the remainder when 45 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -323 or -325?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3951, 7904, 11857?\nAnswer: 15810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o + 158 = 0. What is the units digit of (-18)\/(-45) + o*(-4)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.648 * -5\nAnswer: 98.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 2\/5, 0.15 in decreasing order.\nAnswer: 2\/5, 0.15, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4591738922 to the power of 1\/2, to the nearest integer?\nAnswer: 67762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 8712570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/21 - 144\/(-42). Suppose -b*x + x = 3*y - 279, -2*x - 5*y = -183. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {j: 5, l: 1, c: 3}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 65, 102, 159, 242?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - -13 - (-42 - -66 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (2 + sqrt(68) + sqrt(68))*4)**2 + -2.\nAnswer: 224*sqrt(17) + 3394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4\/3 - 4909*x**3\/3 - 24584*x**2\/3 + 22932*x = 0.\nAnswer: -7, 0, 2, 4914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 529487?\nAnswer: 7942305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 759 and 110?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -798, -7, 5, 2 in descending order.\nAnswer: 5, 2, -7, -11, -798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -0*p. Let d be (3 - -3)\/(p\/1). Suppose -q + 12 = 4*w, d*q - 11 = -3*w + 7. Solve 0 = -a - q*n - 24, -a + 3*n - 5*n = 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/600 + 83*c**5\/100 - 1025*c**4\/8 - 3125*c**3\/6 + 14*c**2 - 33. Factor u(x).\nAnswer: -(x - 125)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 + 5*k**2 - 475*k - 1434. Give z(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 + 321 - (-52 - -98).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p - 2. Find the first derivative of 6*x**4 + 4 + x**2 - 12*x**4 - x**p wrt x.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13086 divided by 4362?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**4 + 110*b**3*f + 67*b**3 + b**2*f + 37*b**2 + 8*b*f + 2*b + 2*f + 321 wrt b?\nAnswer: 144*b + 660*f + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = -0*q. Let a(j) = j**2 + 2. Let u(s) = -s**2 - 3. Let f(n) = q*a(n) - 2*u(n). Let l(g) = 2*g. Give l(f(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/4 + 124*r**3 + 23064*r**2 + 8*r + 4. Factor y(b).\nAnswer: 3*(b + 124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -80. What is the common denominator of 30\/k*532\/30 and 63\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d**3 + 16803219 - 16803219.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 6*z - 8.\nAnswer: 2*(z - 4)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 9*k - 912. Is (k - 0\/2) + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 2*w + w + (-4 + 4 + 2*w)*(-2 - 2 + 3).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.9. Let s = 1.05 - 0.05. Let y = -16094.4 - -16094. Which is the nearest to s? (a) j (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7359.95 + -7360. What is the third biggest value in 112, 2, v, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 27*a + 156. What are the prime factors of f(0)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 334 = -6*p, 0 = 3*p - 196 + 193. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 82. Let r = 23.99999948 + c. Round r to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 182\/39*159\/(-2). What is the tens digit of m\/21*165\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:40 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(720) - (sqrt(720) + sqrt(720)*-3)) + 3 + -6*(sqrt(720) + 3)))**2.\nAnswer: 9720*sqrt(5) + 60345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffww when four letters picked without replacement from {f: 2, w: 4, s: 1, r: 3, v: 7}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 - 3*m - 8. Let s be a(6). Solve -s*v + 11 - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 14*i - 7. Let j(b) = b**3 - b - 1. Let p be j(2). Suppose 49 = p*n + 114. Is 6 a factor of v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 252 + -252. Put -2, b, 3, -5 in descending order.\nAnswer: 3, b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-246)\/(-22) + (-10)\/55. Let a(f) = f - 10. Let l be a(d). Let s be 38\/(-12) - l*-3. Is -1 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f - 2*f + 5*f. Let x(c) = -2*c. Let t(m) = -4*m. Let w(h) = 2*t(h) - 5*x(h). Determine w(r(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 - 7*y - 1. What is x(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964 - 417 = -54*g + 1049. What is the least common multiple of g and 75?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let j(h) = 36*h**2 + 22*h - 10*h**2 - 6*h**2 - 16*h**2. Determine f(j(r)).\nAnswer: -8*r**2 - 44*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 46.5. What is the second biggest value in d, -11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -15*w**8\/112 + w**4\/6 - 7*w**3\/6 - 15*w**2. Find the second derivative of h(i) wrt i.\nAnswer: -900*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13204152 - 25?\nAnswer: -13204210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v + 15. What is m(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 6*s - 23 = -4*a, 3*s = a - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 30*f - 207 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68210 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*i - 10 + 72, 5*i + 55 = 2*y. Let q = y - 26. Let p = -18 + 32. Solve 0 = -2*v + q*o + p, 0 - 8 = -4*v + 3*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*c**5 - 130356*c**4 + 56928*c**3 + 514992*c**2 - 231600*c + 25728 = 0. Calculate c.\nAnswer: -2, 2\/9, 2, 536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 528*v - 5. Let c be d(2). Suppose -g = 3*g - 3*b - c, 0 = 3*b - 9. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276719 divided by -1657.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391232.\nAnswer: 2, 37363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 5603*q\/2 + 33609\/4.\nAnswer: (q - 11203)*(q - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Suppose -4*l = -s + 4*s + 20, -2*s - g*l = 15. What is the derivative of s + 2*u - 2 + 3 wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 2, -86, 3\/7, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (10 - (3 - -30))) + -2 + 20.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2043855?\nAnswer: 3, 5, 11, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 299*y - 2366. Determine p(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 5436, -1, -3 in ascending order.\nAnswer: -3, -2, -1, 3, 5436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4199.4 * 4.\nAnswer: 16797.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/20 - g**4\/6 + g**2\/2 - 13*g + 3. Determine o(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -6*k**5\/5 - 3*k**2\/2 - 5. What is the second derivative of w(m) wrt m?\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 121.9 and 22?\nAnswer: 99.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25027, 49790, 74549, 99298, 124031?\n\"Answer: -y**3 + 4*y**2 + 24758*y + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 32*a - 1 = 2*v, -5*v = -a + 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {g: 2, y: 3, t: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 3053?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -847698255255.\nAnswer: 847698255255.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 3*c = 45, -2*c + 25 = 3*q - 0*q. Put 0, 4, -8, q in decreasing order.\nAnswer: q, 4, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 388 and (-154)\/(-88) - (-3)\/12?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3 - 3)*(12*x**4 + 2*x**2 - 2*x**2 + (2*x**2 - 2*x**2 + 2*x**3)*(0 - x + 0)).\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1246 and -109\/882.\nAnswer: 78498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -371? (a) 39 (b) 0.03 (c) 4 (d) -0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5860 + -5863. Which is smaller: l or -111\/38?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-130)\/(-4))\/13)\/((7\/4)\/7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/144 - (-140)\/(-234)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3553, 6896, 10239?\nAnswer: 13582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3968 - -59521\/15. Which is the closest to 1? (a) -12 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117 - -116)\/(8\/3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138369 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (7 - 276\/27) + 4\/18. Which is greater: 5\/237 or n?\nAnswer: 5\/237","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/30)\/(24\/36)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-4) + (1 - 1) + -3. Factor -1\/2*b + z*b**2 + 0.\nAnswer: b*(b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 + -231. What is the remainder when -1 + u + (6 - -2) + 80 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {i: 2, y: 1, x: 2, z: 5, c: 2, k: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 - a**3\/3 - 2*a**2. Let z be x(-2). Suppose 5*b + 20 = z, -2*o + 3*b = 3*o + 108. Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w + 942. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and 44\/(-192)*23 - -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-812)\/30 - 4\/(-10). Let g = v - -256\/9. Factor 8\/3*r + 4\/3*r**2 + 2\/9*r**3 + g.\nAnswer: 2*(r + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3116\/21 + -12401\/84. Suppose -v = 1 - 5, m = -3*v + 5. Put x, 0.2, 4\/3, m in ascending order.\nAnswer: m, 0.2, x, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 6. Let g(a) = 7 - 3*a + a - 3*a. Let h(w) = w**3 - 11*w**2 + 12*w - 24. Let z be h(10). Determine z*v(u) + 3*g(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o**2 - 9 - 24*o**2 + 32*o**2 - 2 + 12.\nAnswer: 53*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - k - 5, 0 = -5*u - 3*k - 4 + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 23*f + 98. Does 18 divide s(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**2 - p**4 + 5*p**2 + (-2*p - 2*p + 2*p)*(p**3 + 5*p**3 - 5*p**3).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-11) - (-4)\/(-22). Suppose u + 3 = 0, 5*u + 13 = -i - d*i. Suppose -m = 2*f - 517, f = 6*f - i*m - 1279. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 978\/1835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59282\/3120 + 254 + -273 and -129\/440.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*n**3\/2 - 2521*n**2 - 59387*n\/2 + 1705 = 0.\nAnswer: -11, 2\/35, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 1, h: 2, c: 2, q: 2}. What is prob of sequence hhar?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 10, 41, -1, 0.2, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 10:51 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3324\/(-277)*-1*26\/(-6)*(-1)\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + s + 1. Let u(v) = -5*v**2 + 3*v + 3. Calculate -7*f(n) + 3*u(n).\nAnswer: -n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/265 or 1?\nAnswer: -27\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6198386 or -37190323\/6?\nAnswer: -37190323\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/1463 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 2*t**2 + 5*t - 10. Calculate the smallest common multiple of 91 and m(3).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100109*t = 99552*t + 25222 + 41061 for t.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*t - 168*t = -18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-12492)\/(-16) - 2\/(-8)). Let w = k + 2759. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*k - x, -3*x = -335*k + 337*k - 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -15) + -32 - -10 - (1 - 5) - -52.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-144)*(-60)\/144?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 + 119. Let p = 992\/11 + h. Let b = 0.17 + -0.57. What is the third smallest value in p, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-16)*96\/(-40))\/(3\/(-24))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 + 2*a**4 + 8*a**3 - 16*a**2 - 16*a + 32.\nAnswer: -(a - 2)**3*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10156763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 25*p - 363. Calculate n(11).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28151769 divided by 1\nAnswer: 28151769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 52. Let c be h(0). Suppose 4*q = 6*q - s - c, -2*s - 131 = -5*q. Suppose 0 = t - k - q - 13, -k = -1. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-852)\/(-7384)*(-13)\/(-30)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) + (-3 - (-138)\/42). Solve 3*d + 6 = 3*s - 2*s, -4*d - 4*s - 24 = k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efrrrfrlfrgrfflle. Give prob of sequence rgf.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140273?\nAnswer: 7, 29, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 1:39 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481975 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*4*5*1)**2*-2.\nAnswer: -230400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**3 - 4*y**2 + 14*y - 86. Let z(a) = -7*a**3 + 5*a**2 - 17*a + 84. Calculate -5*t(d) - 4*z(d).\nAnswer: -2*d**3 - 2*d + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1256 - 3570 + 1251 + 1063 - 639*f.\nAnswer: -639*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2463?\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -8 (c) 38\/93 (d) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -66. Suppose 6*g + x*g = 3140. Let c = -188 + g. What is the highest common divisor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65aa86 (base 12) in base 3?\nAnswer: 10001002001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3330, 6693, 12298, 20145, 30234, 42565?\n\"Answer: 1121*b**2 + 2209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753211.\nAnswer: 89, 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*u - 35 = 0, 4*c - 5 = u + 20. Suppose -22*j - 267200000 = -c*j. Round j to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.33 + 0.03. Let u = 0 - w. Let m = 16 - 19. What is the smallest value in u, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37452.9ml?\nAnswer: 37.4529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-4\/3))\/(s\/s**(-2\/25)))**(-1\/11) assuming s is positive.\nAnswer: s**(31\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2267, 12, -1.\nAnswer: -1, 0, 1, 12, 2267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267022104.\nAnswer: 2, 3, 11125921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/12 + 14*z**2 - 10. Let l(f) = f + 1. Calculate -a(s) + l(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p. Let m(r) = -157*r**2 - 4*r + 54. Let g(b) = 117*b**2 + 3*b - 54. Let o(q) = 4*g(q) + 3*m(q). Calculate k(o(a)).\nAnswer: 24*a**2 + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 13*k**2 - 7*k + 49. Let a be r(9). Let l = a + 566. Is l a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185*m**5 + m**2 + m + 56?\nAnswer: -3700*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 419 = -363 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**2 - 1\/30*w**5 + 0 + 0*w**4 + 0*w + 0*w**3. Let g(q) = -q - 2*q + 5*q. What is s(g(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25737703 by -349.\nAnswer: -73747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 6 - 2 + 2*t**2 - 3*t. Let r(f) be the first derivative of -f + 1\/2*f**2 + 28. Give o(s) + 4*r(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 5:37 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -12, -2, -4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -232260*s**2 - 232265*s - 5 = 0. What is s?\nAnswer: -1, -1\/46452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2295 + -128.\nAnswer: -2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 601 - 596. Let t(f) be the third derivative of f**5\/30 + f**4\/4 + 2*f**3\/3 - f**2. Let k be t(-6). What is the highest common divisor of k and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3*z - 7*z + (3 - 4 + 2 - 5 + 4 + 2 + (2 - 4 + 3)*(-3 - 1 + 5))*(3*z - 9*z - 15*z)*(-2 - 2 + 3))*(-19*z + 0*z + 12*z).\nAnswer: -427*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -358801*z**4 - 1437600*z**3 - 1085991*z**2 - 7204*z - 12 = 0. What is z?\nAnswer: -3, -1, -2\/599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*p - 67*p + 19*p + 14*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 9.57.\nAnswer: -0.1914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q = 41*q - k - 3, -2*q - 11 = -3*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 27 = 45 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 10 = -2*m. Solve 5*b + m + 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-10\/11)\/a)\/a*a)\/a**(-2\/3) assuming a is positive.\nAnswer: a**(-41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14826000 rounded to the nearest one hundred thousand?\nAnswer: -14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 5. Let s be o(-9). Suppose -2*v + 3490142 = s*c, 5*c + 0*v + v = 4362673. Let x = c + -422534. Round x to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/20*((-123)\/9 + 1). Let d(p) = -p**3 + 20*p**2 - 26*p - 43. Let l be d(r). Let x = -90 - l. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-25)*20\/3. Suppose 3*r = -0*q + 2*q - 22, -r - 4 = 0. Let n = l - q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 2:55 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721 = -94*x + 334*x + 6721 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -616 divided by 7.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1666652 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*k - 484*k - 8584 = 16650 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 < -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11642244 + 54?\nAnswer: 11642331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196706*s**2 + 75*s + 40*s - 196707*s**2 to the form h*s + b*s**2 + p and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**24)**(-11))**(-3\/14) assuming u is positive.\nAnswer: u**(396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + -5015541?\nAnswer: -5015465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/60)\/((-124)\/(-93))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*v + 60 = 192, -4*w + 308 = -5*v. What is the greatest common factor of w and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 3. Let y be z(-3). Let i = -6 - y. Determine a, given that -4\/9*a**i - 10\/9*a**5 + 0 + 0*a**2 + 14\/9*a**4 + 0*a = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*z - 3*m + 2*m, -5*m = 5*z + 5. Let p(i) = 5*i - 3 + 0 + 5. Calculate p(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-3)\/2 - -5. Suppose -18 = -2*b + 5*i, -4*b + 0*b = -3*i - 22. What is the derivative of b*a**j + 1 + 315*a - 315*a wrt a?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b + 5. Let x(i) = -4*i + 5. Calculate 5*m(p) - 4*x(p).\nAnswer: -4*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8594602057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/30)\/w)**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 + 19*s + 5. Let n be i(10). Let y = 36 + -255\/7. Put y, 3, 2, n in descending order.\nAnswer: 3, 2, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.011 + 181.011. Let z = 180 - k. Which is the closest to 1? (a) 0.3 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h + 5. Let m be x(3). Factor 6 + m - 4*v**2 - 8*v - 11.\nAnswer: -4*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -75. Solve 0*t = 5*t - 3*q - j, 0 = -3*t - 3*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-3*sqrt(99) - sqrt(99)) + sqrt(99) + 3*((sqrt(99) - sqrt(99)*-1) + sqrt(99) - sqrt(99)))\/(-2*sqrt(1296)*-3*2).\nAnswer: 7*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.436 rounded to 1 dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 = 5*o + q, -2*o - 4*q - 61 = -225. Suppose -r - 4*d + 14 = 0, -8*r + 3*r + 4*d + 118 = 0. Calculate the smallest common multiple of r and o.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32713?\nAnswer: 32713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**2 + 0*z**3 + 0*z + 1 + 1\/6*z**4. Let k(l) be the second derivative of f(l). Let u(n) = 2*n**2. What is k(u(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -342, -3, -0.1, -2\/13, 0, 2.4, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863959234 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 829 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cppc when four letters picked without replacement from cceppcce.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 + 43 = 17*i. Let g be i\/18*(-60)\/30. Factor -4 - g*y**2 - 8\/3*y.\nAnswer: -4*(y + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46280443 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 72900 divided by 180\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let h = 96 + -104. Let x = -8 + 12. Which is the second smallest value? (a) h (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmaammm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1008 - 750.5. Let p = f + -260. Round p to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -15 (b) 12 (c) 5 (d) -27 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjflpljljjjlaaptljaj. Give prob of sequence jj.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 20. Let p(k) = k**2 - 9*k + 9. Let y be p(x). What is the closest to y in 2\/7, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 44. Let i(m) be the third derivative of 0*m**3 + 1\/30*m**6 + l*m - 1\/8*m**4 + 0*m**5 + 4*m**2 + 0. Find the second derivative of i(w) wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arjajajaaraajjrra. What is prob of picking 2 j?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 5*d - 24 = 0. Let u be ((-4)\/d)\/((-3)\/(-27)). Find the third derivative of -q**2 + 6*q**6 - 25*q**u + q**6 wrt q.\nAnswer: -2160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2. Let m(n) be the first derivative of 19*n**2 + 28*n - 403. Determine m(o(i)).\nAnswer: 76*i**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2415 and 0.114?\nAnswer: 2415.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 22.7+0.1\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Suppose 0 = 2*r - 3*c - 33, 3*c - 6 = 3*r - 54. Let z(q) = 36*q - 20*q - r*q. Calculate z(m(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + -4*(0 + sqrt(243)) + 6*sqrt(243)*2 + -3)*4 + -5)**2.\nAnswer: -11016*sqrt(3) + 315217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -3*v - 5*q + q, v - 4*q = -13. Let w = v + 37. Suppose 39 = 11*t - w*t. What is the remainder when 38 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + z**2 - 3*z - 1. Let i(b) = b**3 - b + 1. Let h = 286 - 283. What is h*i(x) - s(x)?\nAnswer: 2*x**3 - x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**2 + 416*i - 420 = 0.\nAnswer: -105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 24. Suppose -10*q + b = -14*q. Let u(x) = -x**3 - x**2 - 2*x - 3. What is the units digit of u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 5)*(-1 + 1 - 1)*(-6*k + 3*k + 0*k).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 250, -2, -1, 2, -5, 5, 2294 in ascending order.\nAnswer: -5, -2, -1, 2, 5, 250, 2294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-553650)\/(-675) + 4\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, 18, 3, -4 in descending order.\nAnswer: 18, 13, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 8720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 534709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(3 - 2))\/2. Suppose -5*z - 97 = -a, 0*a + z = 2*a - 176. Let h = 91 - a. Solve -2*x + 6*x - h = o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6873, -10014, -13299, -16800, -20589, -24738, -29319?\n\"Answer: -12*u**3 - 3057*u - 3804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t)**(2\/33)\/(t**10*t**(-1\/34)\/t) assuming t is positive.\nAnswer: t**(-3287\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 22 = -9360. Let t = -661 - b. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + -1.97. Suppose -6 = 4*j - 3*j. Let o be j\/(((-90)\/(-4))\/5). Which is the closest to 0.1? (a) 0.4 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -2*x + 1550. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -7.48.\nAnswer: 14.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let k be 3 - ((-3)\/1 + 8). Let l be q(k). Suppose -6*b + 24 = -l*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**4\/12 + 2*d**3\/3 - d**2\/2 - 3*d + 9. Calculate s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 60 = 4*i - 43, 0 = 5*x + 4*i - 515. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159456.7 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304015.4ml in litres?\nAnswer: 304.0154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(2*sqrt(27)*6 - sqrt(27) - 1*sqrt(243)))**2.\nAnswer: -259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45695383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**4 + t**2 + 1. Let h(q) = -143 - 777*q**2 - 10*q**3 + 252*q - 26*q**3 - 7*q**4 + 715*q**2. Let j(r) = h(r) - 4*k(r). Factor j(z).\nAnswer: -3*(z - 1)**2*(z + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*z + 109*z - 7 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**10)**(4\/15)*(l*l\/(l\/l**(-2))*l)\/l**23)**(-47) assuming l is positive.\nAnswer: l**(2867\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 111.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4527498 divided by 3.\nAnswer: -1509166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/8 (b) -2 (c) 42\/17 (d) 0.1 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 + -0.3. Let r = -297 - -320.7. Let l = r + -24. Which is the nearest to 0? (a) -4 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**3 - 12*o**2 + o. Let u(y) = 5*y**3 - 13*y**2 + 2*y. What is -4*c(d) + 3*u(d)?\nAnswer: -d**3 + 9*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 4*j**2 - 3*j + 2. Let m be o(-3). Suppose -3*q = 12, m*a + q = 3*q - 12. What is the smallest common multiple of (-7)\/(-2) + 5\/a and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((585\/(-2))\/(-5) - 1)*-4. Let o = -2072\/9 - n. Put 6, o, -1, -0.9 in increasing order.\nAnswer: -1, -0.9, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzbb when four letters picked without replacement from obbbobbpzbpqqbbpib.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -19*j**3 - 22*j**2 - 5*j + 57. Let m(z) = 28*z**3 + 33*z**2 + 8*z - 80. What is -7*i(s) - 5*m(s)?\nAnswer: -7*s**3 - 11*s**2 - 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*k - 85 = 584*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = 30*f + 105 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 15) to base 9.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3364542 (base 9) to base 7.\nAnswer: 21264125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/1262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*b - 16530*b**2 + 123*b.\nAnswer: -16530*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**2\/2 + 9*f + 3. Let l be d(9). Let b(y) = y**2 - 18. Determine b(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + y**2 + 294511*y**3 - 1 + 2*y - 46303*y**3 + 951793*y**3. Let g be n(-1). Round g to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 7 = 4*l, -9*c + 1 = -2*l - 6*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256 - a**2 - 251 + 507.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110100 (base 2) in base 7?\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 5}. What is prob of picking 4 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.085 (c) 3\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + -2 + 5)*-3. Suppose 8 = -0*f - 3*f + l, -4*f = -t*l + 14. Is f\/(-4) + 458\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 38. Let r = 61 - p. Let f be 3\/(-408) + (-4)\/r. Which is the closest to 1? (a) 1\/6 (b) -29 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**3 - 517*w**2 + 1093*w - 87. Determine p(84).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + r. Suppose r*w = 2*w - 34. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/11, -23, 2\/9, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -765, -750, -735?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c8 + -18?\nAnswer: -e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*d - 12 = 0, -5*d + 0*d = -3*r - 9. What is the smallest common multiple of r and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(9)*4)\/(1*(sqrt(3) + sqrt(12)\/sqrt(4))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*p = 3*p - 8, -2*p = 4. Suppose 0 = 3*x - 3*t + 348, -4*x - n*t = -t + 484. What is the common denominator of 59\/14 and 1225\/x + 6\/(-9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 430 - 441. Put 2, 3, q, -5 in descending order.\nAnswer: 3, 2, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290567 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2497?\nAnswer: 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13381*m = -13431*m + 750. Solve m*w - 36 = 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -416143 - -24799?\nAnswer: -391344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 11*u + 106. Let t be v(-14). Let d(f) = -f**3 + 8*f**2 - 4*f - 5. Let y be d(7). What is the highest common factor of y and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11736322 divided by -902794\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b*b*b**(-2\/3)))\/b*b**(-5))\/(b*b**(-2\/7)*b\/(b*b*b**(-9)*b)))**(-15) assuming b is positive.\nAnswer: b**(1580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.3, -1, 0, -3.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, -28\/109, -1\/2, -3, 4, 3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 18*q - 3. Let h be u(2). Let d = h - 32. Let b be (-53)\/180 - (-1)\/4. Is b greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-25)\/(-15) - 8\/(-12). Suppose -4 + 0 = -2*b. Factor b*d**4 + 0 + i*d - 1\/2*d**2 - 3\/2*d**3.\nAnswer: d**2*(d - 1)*(4*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262 (base 8) to base 3\nAnswer: -20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 236 + 400 = -178 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/21)*y\/(y*y\/(y**(-2\/3)*y*y)))**(2\/75))**(-1\/4) assuming y is positive.\nAnswer: y**(-13\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a - 15, 5*b + 5 = 2*a. Solve 0 = o + b + 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybnycqqqyqycqsy. Give prob of sequence cqcb.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.2 - 6.81. Let b = 228.92 - 230.3009. Let f = k + b. What is f rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/16 and 123\/170.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 188084 - 188082. Let o be (-3)\/(18\/(-4)) - 2. Which is the second biggest value? (a) -3\/7 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19036345 and 32249808.\nAnswer: 2741233680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3404589 + 2?\nAnswer: -3404587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 + 2.9. Let j = -0.37 + m. Is j greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3112*c**2*g*i**4 - 98*c**2*g*i**2 - 3*c**2*g*i + 4626*c**2 - 2*c*i - 2*g*i - i - 14 wrt i?\nAnswer: 37344*c**2*g*i**2 - 196*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 29*z**2 - 6*z - 6. Let d(k) = k + 1. What is 6*d(h) + i(h)?\nAnswer: 29*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81213 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 30, -91, 0, 9.5, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6668\/7 - 333841\/350. Suppose -x - 147 = 289. Calculate the common denominator of 4*(2 - x\/(-288)) and b.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*l - 15. Solve -1 = -2*n - l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4544 = -2*k - 2278 - 2284, -3*k - 27 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1 + sqrt(3))**2 - sqrt(3)) + (sqrt(3) + -1)**2*-5)*2.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2) - (18 + -25). Suppose 0 = p - 4, 2*u - 34 = -m*p - 0. Is 12 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -15*b**5 + 125*b**4 - 265*b**3 - 45*b**2 + 280*b - 80 = 0.\nAnswer: -1, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42897, 42539, 42181, 41823, 41465?\nAnswer: 41107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*t - 2580000. What is t rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u**3 - 4*u + 4*u + 39*u**3 - 22*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35\/816 - 1\/51. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97968877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -848, -2344, -3854, -5384, -6940, -8528, -10154?\n\"Answer: -y**3 - y**2 - 1486*y + 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 0 - ((6 - 15) + 5). Let l(d) = -10*d. Let f(q) = 13*q. Let j(y) = k*l(y) + 3*f(y). Let m(r) = 121*r**2. Calculate j(m(n)).\nAnswer: -121*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -94982, 2, 2\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75548, 75426, 75304?\nAnswer: 75182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + i - 169 - 736 = 0, -3*i = 3. What is the remainder when d is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1\/4, 0.3, 0.2, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 16*t**2 - 27*t + 15. Let d be b(-14). What is the closest to -2 in d, -0.01, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l - l)*(-5 + 5 + 2) - 33*l - 14*l - l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3 + 5. Put -1\/2, 5, l in descending order.\nAnswer: 5, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {f: 9, a: 1, l: 2, t: 8}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6 - 15\/(-180)*24 - 41\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.220728313 to five dps.\nAnswer: -0.22073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3)*-1 + sqrt(3) + -4 + 5 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/(-2)) - 100\/50. Solve -f + 11 - 12 = y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 217296692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-25)\/(10\/(-2)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113 * -74.\nAnswer: -8362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*v - 83*v + 10*v)*(-3*v**2 + 4*v**3 + 4*v**3 - 7*v**3 - 2).\nAnswer: -132*v**4 + 396*v**3 + 264*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -4 + 6)\/(-3). Suppose 0 = 3*f + 2*f. Suppose -2*j + 0 + 6 = f. Solve -j*o + 2*d + k - 9 = 0, 3*d = -3*o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26494, -26543, -26676, -26935, -27362?\nAnswer: -27999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 + 3*b**4 - 4*b**4 - 74 - 4*b + 4*b - b**4 + (3*b**3 - 3*b**3 - 2*b**3)*(-b + b + b) + b**4 - 3*b**4 + 4*b**4.\nAnswer: -2*b**4 - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1. Let n(b) = -b - 3. Let o(d) = -4*n(d) + 11*q(d). Determine o(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -54. Let k be (-105)\/2*32\/(-24). Suppose 2*x = 9*x - k. What is the lowest common multiple of x and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*z + 180 = 0, 4*t - 2*z = 330 + 446. Suppose 4*w + 196 = -p, -t = 5*w - w + 4*p. Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, -3, 1\/6, 3, -6693?\nAnswer: -6693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**3 - 4*f**4 - 6*f**3 + f**4 - 4*f**4 + 0*f**4 + (f - 2 + 2)*(-2*f**3 - 4*f + 4*f) + 0*f**3 + 0*f**3 - 2*f**4.\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u**3 + 5*u**2 - 10*u + 33. Let y be x(6). Suppose 0 = -2*r + y - 75. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:44 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + r = -59, -2*q + 14*r = 17*r - 7 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + g - 1. Let n(h) = -8*h**3 + 4*h - 7. What is n(l) - 6*o(l)?\nAnswer: -2*l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w + 6. Suppose 0 = -3*q - 3*i + 21, 4*q - 20 = -q - w*i. What is the lowest common multiple of 3 + (-3 - -3)\/4 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633644213?\nAnswer: 17, 37273189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35068, -37584, -44410, -57700, -79608, -112288, -157894?\n\"Answer: -359*k**3 - k**2 - 34708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*((-2)\/140)\/((-77)\/(-154)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5458 + 1682 = 236*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -405 + 405. Let t(j) = -4*j**2 - 2*j - 16. Let l be t(-4). Let y be (-3)\/(-6)*(l\/(-20) - 4). Which is the nearest to u? (a) y (b) -4\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**7\/210 - s**6\/30 - s**5\/30 + s**4\/2 + 3*s**3\/2 - 2*s**2. Factor j(i).\nAnswer: (i - 3)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 27.\nAnswer: 11\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:47 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g + 21*g + 19*g + 390 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39390)\/(-208) + 3\/(-8). Let z be (-4)\/(-2)*-1 + c\/21. Solve 24 = -z*k + k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 273 = -4*f + 251, 5*h = -3*f + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10 - (2 + 18\/(-4)). Solve 5 = -c*s - 3*h, -2*s + 4*h + 14 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/6 + -8)*-3. Suppose 2*j - 2 = 0, 5*x - 4*j - j = 15. Let t be x\/k + (-43)\/(-9). Solve -4*i = r + 4*r + 21, 0 = 5*r + t*i + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(19) + 0 - sqrt(19)) - (sqrt(19) - (-3 + sqrt(38)\/sqrt(2) + sqrt(19))))**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/9 + (-2 - (4 + -7)). Sort 5\/16, d, 2 in increasing order.\nAnswer: d, 5\/16, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 13 = -v, -5*q - 19 = -v - 0*q. Which is greater: v or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 47 + 40*y + 95*y**2 - 55\/3*y**3 - 25\/4*y**4. What is z in b(z) = 0?\nAnswer: -4, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -301 at most as big as -301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 5:58 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**3 + 109*u**2 - 196*u - 1600. Determine z(-3).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103926 (base 10) in base 12?\nAnswer: 50186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 1. Let m(l) = 5*l**2 + 2*l + 10. Determine m(a) - 2*t(a).\nAnswer: 5*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*a + 4812 + 1577, -n = -4*a + 6393. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 472 - 475. Let k be (-171)\/(-6)*12\/(-26). Let b = -13 - k. What is the closest to 2 in g, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -35000*(-5)\/(-5)*-670. Suppose c - 4690000 = m, -4*c + 3*m = c - j. What is c rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -16, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -224*d**2 - 781*d + 5. Calculate the remainder when 1336 is divided by q(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/12)\/(10\/(-15)). Let c(h) = -2*h**3 + h**2 + h - 1. Let j be c(v). Let g(m) = -19*m**2 - m + 1. Determine g(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6454154 grams to micrograms.\nAnswer: 645415.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 22*l - 15. Let g be x(-24). What is the highest common divisor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*d - 2*d. Let h = 313585\/7 - 44901. Let b = 103 + h. Put d, 1\/3, b in decreasing order.\nAnswer: 1\/3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2631*o - 21059. Determine q(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**3 - 1. Let o(j) = 6*j**2 - 3*j + 3. Let z(l) = l**2 - l + 1. Let s(b) = o(b) - 3*z(b). Give w(s(n)).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 r when three letters picked without replacement from {r: 2, u: 4, v: 4, e: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) -0.5 (c) -1.65 (d) 3\/8 (e) 1\/3 (f) -5 (g) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5726, -5673, -5618, -5561, -5502?\n\"Answer: f**2 + 50*f - 5777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -161*x - 12. Let i(u) = -3*u**2. Give k(i(r)).\nAnswer: 483*r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110460 is divided by 3682.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1432\/(-440) + 1008\/(-9135)*-29\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.9681 + -0.0181. Let j = -1.75 + z. Let p = 16.20000091 - j. Round p to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 3*d**2 - d**2 - 32 as y*d + x + l*d**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -1\/126 in increasing order.\nAnswer: -1\/126, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - -3. Let w = 24 - v. Let d = 1 - 4. Put w, 1, d in decreasing order.\nAnswer: w, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1110\/5 - (5 + 1). Let r = 216 - m. Solve 21 = -2*t + 5*j, r*t + 12 = t + 5*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/2 + 462*y**3 - 160083*y**2 + 24652782*y - 6388. Factor r(g).\nAnswer: -2*(g - 231)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/80)\/((-6)\/8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 - 344*y - 381939. Calculate s(226).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/81 and 31\/810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.380294766 and -92.\nAnswer: -88.619705234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45.1792 - 44.1792. Let v = 1 + -2. What is the closest to q in -2, v, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 2*s - 11, 18*s + 7 = -t + 16*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3986 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 24, 25, 26, 27?\n\"Answer: q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, -1\/4, -11, -2\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 + 0.04. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143009?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (12\/3)\/(4182\/(-23001))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/6))\/r**8*r**1\/r**(-3\/4)*r**(-5)*r**(-4)*r*(((r\/(r*r*r*r*r**(-8)\/r*r)*r)\/r*r*r)\/r)\/r**(2\/9) assuming r is positive.\nAnswer: r**(-263\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 l when three letters picked without replacement from xfvffllvfmvvffxvl.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -10064 != -37181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/11)\/t**(-2\/7)*t**(-8)\/(t**(-3\/8)\/t) assuming t is positive.\nAnswer: t**(-4017\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 72 = -11*p + 11*p + 8*p - 8*w, -2*w = 2*p + 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20756)\/(-3) - -18 - 2\/(-6).\nAnswer: 7, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 4*a - 1. Let g(w) = w**3 + 5*w**2 - 8*w - 9. Let x be g(-6). Let c be k(x). Suppose -c*q + 6 = -2. Are 3 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(180)*2 + sqrt(180) + sqrt(180) - sqrt(180)))\/sqrt(4))**2.\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -15958?\nAnswer: 1595c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-5))\/(2\/(-5)). Suppose -r + 147 = 3*a, -y*r - a = -2*a - 280. Let i = r - 86. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 2829629?\nAnswer: 22637032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -466, 1, -130, 142, 4, -4.\nAnswer: -466, -130, -4, 1, 4, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -39*z - 564. Let k be v(-14). Which is greater: -248\/15 or k?\nAnswer: -248\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380 - 412 = -8*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12975 and 3075?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -937 + 937.015. Let g = -3.015 + j. Let t = 4 + -2. What is the smallest value in 0.2, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10 + -9 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 346651 equal to 346649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -4. Let o(p) = -2*p**2 + 2*p - 2. Let a(k) be the second derivative of -k**4\/6 + k**3\/2 - 3*k**2\/2 + 237*k. Give j*a(f) + 3*o(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1419257 and -29\/1013755.\nAnswer: 7096285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m - 2*n + 9, -3*n = 4*m - 8. Let u be (m\/1*-4)\/(-1). Let d = 36\/11 + -86\/33. What is the smallest value in u, d, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61350000 rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -z + 16 - 7, -5*c = -z - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417 + 427 - q**3 + 7*q + q - 8*q.\nAnswer: -q**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-3)\/31200)*50. Round o to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/12)\/(3\/(-666)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 16, 0 = 3*t + 5*s - 2363 - 1448. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -165159.\nAnswer: 1\/55053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.095, 2\/7, 4, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 2*j. Let c(h) = h**2 + h + 3. Is c(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*(v*v**11)\/v*v)*v\/v**(-10) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 take away -2676157627?\nAnswer: 2676157479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3289281 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -84870812\nAnswer: -1\/84870812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 2*g**3\/3 + 11*g**2\/2 - 5*g - 1040. Calculate u(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5 + 91267*n**4\/4 - 520638223*n**3\/4 + 97144829*n**2 + 2635270816*n + 650712320 = 0. What is n?\nAnswer: -4, -1\/4, 5, 11408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 227, 526, 0, -4 in descending order.\nAnswer: 526, 227, 2, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/6*(-9)\/(-165)*20\/24. Let b = 0.7 + -0.4. What is the nearest to 2\/7 in b, c, 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + -7 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6126 + 3061 - 6271*f + 3063.\nAnswer: -6271*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 + 26 + 3*l**5 - 21 - 4*l**5 + 2*l**5 + 5*l**5 + 0*l**5 - l**5 + 2*l**5 + (-3*l + 2*l + 2*l)*(5*l**4 + 3*l**4 - 4*l**4).\nAnswer: 14*l**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 54 = 26. Let a be m + 21 - (-4 + 1). Solve -a + 32 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/25))\/(w*w*w*w**10*w))\/(w**(2\/13)*w*w*w*(w\/((w\/w**(-5))\/w))\/w*w))**18 assuming w is positive.\nAnswer: w**(-70632\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l + 3. Suppose -4 = f - 8. Let q be n(f). Let m(g) be the first derivative of -g**3\/3 - 2*g**2 + 3*g - 1. Determine m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -544\/9 - 52\/9*c + 2\/9*c**2.\nAnswer: 2*(c - 34)*(c + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = -18. Calculate the least common multiple of g and 13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 8 = 8. Suppose -22*h + 23*h - 211 = s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 9*s - 5. Suppose -16 - 6 = -j. Suppose -3*p + 2*v + 26 = -0*p, j = 3*p - v. Let t be k(p). Solve -4 = -4*g, -4*b - 3 - t = -4*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-243)\/(-120) - (-24 - -26))*(-88)\/(-110)?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 553\/2607 - (-12)\/(-22) - (278\/(-6) - -6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*s + 1053 = -675 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(((q\/(q\/(q\/q**5)*q))\/q*q)\/q))\/q*q**1*q)**(-2\/59))**(-36) assuming q is positive.\nAnswer: q**(576\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16945 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/740 and -97\/740?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2302210 to the nearest ten thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50663331?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a decade in months?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*b + 22, -48 = -5*b + 5*m - m. Let i = b - -4. Calculate the highest common factor of 96 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -7) + -2 + 0. Let p be d*(-4)\/(-16) + 11. Let g be (1*-3)\/(6\/p). Are g and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/6*-1*(-6 - -3). What is the greatest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 212, 851, 1916, 3401, 5300, 7607?\n\"Answer: -o**3 + 219*o**2 - 11*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 + 15)*((-3*i + 3*i + i)*(4 - 3 - 2) - 2 + 3*i + 2).\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b**2 + 286 + 4*b - 97 + 32.\nAnswer: 23*b**2 + 4*b + 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*t - 9*t. Suppose 0 = -2*j - o + 88, t*o = 5*j - 2*j - 106. What is the remainder when 165 is divided by j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2600, 5057, 7512, 9965, 12416?\nAnswer: 14865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-276)\/(5\/((-50)\/15)). Suppose 4*m + j + 380 = 0. What is m rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1797345 and 53\/5.\nAnswer: 1797345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**5\/11 + 16*w**4 - 4842*w**3\/11 + 3764*w**2 - 36736*w\/11 = 0.\nAnswer: 0, 1, 14, 32, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2676 + -2657. Which is the nearest to k? (a) 1\/3 (b) 5 (c) -0.6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25099*i**5 + 17*i - 43 wrt i.\nAnswer: 501980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0115 * -0.2\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 181*j**2 + 660*j - 53811. What is v(183)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -443*v**2 - 461*v - 1. What is a(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27*(-7)\/(-105))\/((-2)\/((-80)\/6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*u**3 + u**5 + 2*u**2 + 66*u**3 + 45*u**3 + (-u**5 - 3*u**5 + 6*u**5)*(0 + 0 - 1).\nAnswer: -u**5 - 2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 494 times 0.2\nAnswer: 98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 603429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/13 - -1)\/((-44680)\/(-435630))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkgttgqgkkktzg. Give prob of sequence gqzg.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**5\/70 + 2*w**4\/7 + 12*w**3\/7 + 148*w. Factor d(m).\nAnswer: 2*m*(m + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24197 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32017060*h + 14108230.\nAnswer: 32017060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*v = -1806, -3*g = -g + 5*v - 916. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81, 82, 7, -138, -347, -614, -933, -1298?\n\"Answer: l**3 - 44*l**2 + 126*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 180 + -176 + (0 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 48. Let b = -9 - p. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 76*z + 328. Is o(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12295?\nAnswer: 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7036.7 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**3 - 4*o**2 - o + 1. Suppose -110 = -3*h - 119. Is x(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -10. Let y = 2 - a. What are the prime factors of 6\/(2 - 13\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 11:48 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 - 1365*j**2 - 40152*j + 535020 = 0.\nAnswer: -37, 10, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 7*g**2 - 11*g - 6. Determine a(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(11)*6*-4)**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-26)\/(-819))\/(-1)*42.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 - 551*a + 282220. Give n(-412).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -73424.388 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2, -2*p - 20 = -6*p + 4*h. Suppose 4*r = 9*r - 30. Suppose -m = m - r. Solve -c + m*c - p = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 12*h**3 + 18*h**3 - h to the form d*h**2 + r*h**3 + c*h + i and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -21*k**5\/4 + 39*k**4\/2 - 39*k**3\/4 - 51*k**2\/2 + 15*k + 6 = 0.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8060 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 5313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 14 + 2 = 0. Factor 0 - 3 + k*z**2 - 1.\nAnswer: 4*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x**3 + 2*x**2 - 1993*x - 25290 wrt x?\nAnswer: 3*x**2 + 4*x - 1993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17175?\nAnswer: 3, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3) - 0)\/((-1)\/18). Let v(b) = -9*b + 9*b - p*b**2. Let m(g) = g. Calculate m(v(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.2. Let c = 8.5 + -3.7. Let w = 2.8 - c. Put -4, j, w in ascending order.\nAnswer: -4, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333566 divided by 1\nAnswer: 333566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3770 and 145.\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = 9 - 345. What is the greatest common divisor of 12 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 120 = 2*v. Let g = v - 22. Suppose 6*a - 456 = g*a. Calculate the remainder when a is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3418?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 + (-136)\/(-12). Suppose 7*a + 96 = p*a. Calculate the smallest common multiple of (a - 3) + (0 - -1) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 50*q. Let w(l) = -12*l**2. What is w(y(n))?\nAnswer: -30000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 10457963.\nAnswer: -4\/10457963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 u when four letters picked without replacement from {j: 2, u: 1, c: 1, i: 2, q: 2, a: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 40 = 2*b, -9055*b + 9050*b + 195 = -29*t for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6229*d + 491962. Calculate a(-79).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1001 = 10*a + 1371. Let k be a + 29 - (-12 - -4). Suppose 0 = 5*m - 76 + 1. Solve 3*y + 2*y = l + 15, k = -5*y - 5*l + m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39622.09 + -39622. Which is the fourth smallest value? (a) -18 (b) 1\/2 (c) 0.03 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1476, 2950, 4424, 5898, 7372, 8846?\n\"Answer: 1474*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*y - 50*y - 30 - 39 + 17*y + 3931*y**2 wrt y.\nAnswer: 7862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 20*w + 5. Let l be r(18). Solve 37*x = l*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117203 is divided by 23436?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -11. Let x = 4.5 - i. Which is the smallest value? (a) x (b) -1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - -24 - (35 - (-35 + 73))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9802*o - 49. Is t(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1070, -2142, -3226, -4328, -5454?\n\"Answer: -n**3 - 1065*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*y + 437*y + 31 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -5, 114, -2, 3 in increasing order.\nAnswer: -5, -2, -1, 3, 6, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 886\/(((-119)\/14)\/17). Is (-3 - 15\/(-6))\/(2\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = c. Put 5, 3, c in decreasing order.\nAnswer: c, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 85*k - 139. Let t be n(-83). Is -308 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 4) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-144))\/(3\/(-9)) + 10\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 8. Let i be f(-6). Suppose -x + 11 = -i*x. Let o be (-25*10)\/(x\/220000). Round o to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320) + 2 + sqrt(320) + 4)**2 + -5 + -2 + (2*sqrt(320))**2 + -2.\nAnswer: 288*sqrt(5) + 4187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 2) + -13 - -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1926, -12311, 1 in descending order.\nAnswer: 1926, 1, -12311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -1, -1388 in decreasing order.\nAnswer: -1, -2, -9, -1388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614612*t + 14 = 4*q - 614609*t - 27, 3*q + 4*t - 69 = -5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 13*z**7\/7 - z**3\/3 - 22. What is the third derivative of u(p) wrt p?\nAnswer: 1560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/18 and -53\/3259642.\nAnswer: 29336778","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -29052060 rounded to the nearest one hundred thousand?\nAnswer: -29100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - r = -7, -2*t - 3*r + 14 = -t. Let j = 123 - 180. Let i = 57 + j. Which is the nearest to -0.2? (a) t (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000011101 - -100010000110?\nAnswer: -100110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7. Let d(m) = -1. Let a(n) = 6*d(n) - v(n). Let g(w) = -w**3 + w**2 - 40. Let k(u) = -18*a(u) - 2*g(u). What is the derivative of k(h) wrt h?\nAnswer: 6*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**4 + 8*u - 8*u + (-7*u + 280*u + 213*u)*(0*u - 4*u - 2*u)*(u**2 + 0*u**2 - 2*u**2) to i + y*u**2 + s*u**3 + w*u**4 + b*u and give w.\nAnswer: 2922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 9. Suppose i - 28 = 5*r, -2*r + 5*i = 22 + t. Suppose 3*x = 41 - 32. Sort -4, r, x in descending order.\nAnswer: x, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -5. Calculate the greatest common factor of f and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 94 = -2*y, -3*q + 7*y = 3*y - 76. Find a, given that -a**3 - 8 - 6*a**3 - 2*a**4 - q*a - 26*a**2 - 5*a**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2125*w**2 + 3756*w**2 + 2918*w**2.\nAnswer: 4549*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150106, 150102, 150098, 150094?\n\"Answer: -4*p + 150110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*z = 30, 3*p - 3 - 13 = z. Let w(n) = -5*n - 3. Let f(v) = 10*v + 5. Calculate p*w(j) + 3*f(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 - (-3 + 11) - (0 + (-46 - 3)) and 183?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -89, -84, -79?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 2, 1, -2 in descending order.\nAnswer: 61, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*z + 47 = 0, 3*z + 0*z + 31 = 5*g. Suppose 9 = -4*k + 5*a - g, -a = 4*k - 13. Find v, given that -v - 4*v**2 + 2*v**k + 3*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 1\/60*c**6 + 0*c + 0 + 0*c**5 + 0*c**7 - 1\/336*c**8 - 1\/24*c**4 + 0*c**3 - 2*c**2. Factor m(y).\nAnswer: -y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10447250 divided by 29\nAnswer: 360250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, b: 2}. What is prob of picking 2 r and 2 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 + 30 - 25 - (-1 + 17))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -172 + 2 - (-1179 + 1102) - (-23 + 0)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 875278993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2)\/(2\/94). Let i = u + -30. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6109539 millilitres?\nAnswer: 0.0006109539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4) + -4 + (-1 - (-2 + 3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/sqrt(112)*5)\/(sqrt(32) + sqrt(4608)*-1).\nAnswer: -5*sqrt(7)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33e23 (base 15) in base 8?\nAnswer: 502477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*u = -7 - 51, 5*d - 66 = 4*u. Suppose -62*h = -66*h + 280. What is the highest common divisor of h and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 7*o = -18*f - 15, 4 = -2*f + 4*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwrwrf. Give prob of picking 2 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/1212 and 97\/449656242?\nAnswer: 899312484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**4*l - 46*c**3*l - 22*c**3 + 219070*c**2*l wrt c.\nAnswer: 72*c*l - 276*l - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(-4 + (-4*(sqrt(200)*-4 - sqrt(200)))**2).\nAnswer: 399980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470155.\nAnswer: 5, 7, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0 + 5\/2*m**2 + 1\/24*m**6 + 12*m + 5\/8*m**4 + 0*m**3 - 1\/3*m**5. Let o(l) be the first derivative of s(l). Solve o(u) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - ((-104)\/(-32) - (-2)\/(-8)). Let q be j*((-4)\/(-12))\/((-48)\/(-18)). Which is the nearest to q? (a) -7 (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtizilg. Give prob of sequence tzx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 0.1 (b) 0.07 (c) 4 (d) 1\/198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/378 - 40\/315?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f - 16*f + 17*f in the form q*f + l and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7 - 3*p**2 - 23 + p + 13 + 9. Let v be w(0). Solve -3 + v = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let i(n) = n + 7. What is i(o(x))?\nAnswer: -2*x + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.09*-28.\nAnswer: 898.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*z. Suppose 6 = -z*s - s. Let w(r) = -r + 1. Is 3 a factor of w(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -5. Let r(n) be the third derivative of 0 - 5\/24*n**4 + 0*n - n**2 - 1\/60*n**5 + 2\/3*n**3. What is r(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 491\/3 + -162. Sort -1, 9, f in decreasing order.\nAnswer: 9, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11))**(14\/11)\/((n*n**(6\/5))\/n**(-5)))**19 assuming n is positive.\nAnswer: n**(-80104\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*s - 4395952 = 3888977. List the prime factors of s.\nAnswer: 3, 37, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*p - 434*p = 297 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) 0.2 (b) 0 (c) -0.1 (d) 2\/3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/4 - 99*o**3\/4 + 1293*o**2\/2 - 2142*o = 0.\nAnswer: -51, 0, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by (2\/4)\/((-25)\/(-600)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102540719.\nAnswer: 17, 1451, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.5 + 5.5. Which is the biggest value? (a) s (b) -0.1 (c) 0.112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 41, 0.34, -0.85, 1\/9 in decreasing order.\nAnswer: 41, 0.34, 1\/9, 0, -0.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 = -o. Let k be (3 - (-3 - o))*2. Does 15 divide (5 + 0)\/(2\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177430 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3636 by 36.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1051, 1058, 1065, 1072, 1079?\n\"Answer: 7*p + 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(4\/9)\/(n\/(n\/((n*n**(-2\/3))\/n*n)))**(1\/17) assuming n is positive.\nAnswer: n**(-1\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.365591 milligrams to kilograms.\nAnswer: 0.000002365591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.593047 millennia?\nAnswer: 159.3047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*4*(-135)\/(-756)*14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -5. Let l = -7 + b. Is 17 - 3*2\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/5))\/(w\/w**(-2\/7))*w**2\/(w*w*w**(1\/4)*w) assuming w is positive.\nAnswer: w**(-271\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*c + 9 + 2 + 5 - 60 + 0 + 17.\nAnswer: -75*c - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2415, -4829, -7243, -9657, -12071, -14485?\nAnswer: -16899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*v - 44 = -65*v - 23*v + 4*u, 3*v = -3*u + 3 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**5\/80 + j**4\/24 + j**3\/24 + 2*j + 1. Let l(w) be the first derivative of h(w). Let l(x) = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -472 = -461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000356470762 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32032 divided by -4.\nAnswer: 8008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -16*a - 4. Let b(n) = -6*n - 1. Let k(y) = 11*b(y) - 4*s(y). Let r(d) = d - 4. Let m(w) = -w + 3. Let i(l) = 5*m(l) + 4*r(l). What is 5*i(z) + k(z)?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.735957248 to 3 decimal places.\nAnswer: 0.736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -44\/7*l**4 + 32\/7*l + 0 - 62\/7*l**3 - 6\/7*l**5 + 80\/7*l**2 = 0.\nAnswer: -4, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -66. Solve x + c = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-135)\/6))\/((-6)\/9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h, 5*h + 5 = -f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-30))\/(18\/60).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {c: 1, m: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*n**2*p**3 - n**2*p**2 + 5*n**2*p + n*p + 6*p**3 wrt p.\nAnswer: -558*n**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82.4 - 82. What is the nearest to 0 in 8, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26746647 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*g**2 + 15*g - 10*g**2 + 38*g**2.\nAnswer: 5*g*(10*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19290895 and 926?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**4 - 151*p**3 - 3*p**2 + 128*p + 5435092 wrt p?\nAnswer: -4*p**3 - 453*p**2 - 6*p + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 22. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**35\/p*p*p**(6\/7))**(-6\/17) assuming p is positive.\nAnswer: p**(-1548\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbffffffbfff. What is prob of picking 2 f and 2 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0.9. Which is smaller: i or -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*((-75)\/60 - 3030\/(-56))?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31\/52, 4, 1, -1 in descending order.\nAnswer: 4, 1, 31\/52, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h - 92 = -29 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 790\/(-553)*28\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -3352.\nAnswer: -53\/3352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c4 + 4?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 582419 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30503 divided by -59\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7966073*j*y**5 + 521036*j*y wrt y?\nAnswer: -159321460*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 250, 521, 822, 1159, 1538?\n\"Answer: c**3 + 9*c**2 + 237*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 - (3 + -13 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 12:45 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*v - 4*v**2 + 50*v - 8*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22831835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122.191 + 125.7. Let k = 0.419 - x. Let l = 0.09 + k. What is the smallest value in -2, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-10))\/((-18)\/(-24)). Let j(z) = 2*z + 10. Let i be j(-7). What is the smallest value in i, f, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-90)*(261\/6)\/(-29)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/324*-6*1)\/(75\/(-225))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let j = 38 + -38. Let w(r) be the second derivative of -1\/6*r**3 + j*r**2 + 3*r + 0. Determine w(m(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7))**17\/(j**(-7\/4)\/j**(-1\/5)) assuming j is positive.\nAnswer: j**(-2349\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/3))**(-2))**(-3\/7) assuming y is positive.\nAnswer: y**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t - 1. Let o be 4\/3*(-6)\/4. Let r be x(o). Let h = 0.6 + -1. Which is the closest to 1? (a) r (b) h (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + i. Let c be a(-2). Let n(q) = -c*q - 1 + 5*q + q**2 + q. What is n(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6320658.\nAnswer: 2, 3, 257, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a*b**2*p + 5*a*x - 6*b**2 + 40*p*x wrt a?\nAnswer: -8*b**2*p + 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -237 divided by 79\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1998897148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x + 8. Let n be k(7). Suppose -n = -4*q + 44. Calculate the highest common factor of q and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = 13*a - 175 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.01 + -1.51. Let h = -0.29 + 0.4. Let q = h - 0.01. Sort -1, v, q in descending order.\nAnswer: v, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43036 + -3485861\/81. Calculate the common denominator of j and (1 - 2) + (-146)\/60.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-2\/3)*p))\/p**11)\/(p\/(p**10*p)*p*(p\/p**(12\/11))\/p) assuming p is positive.\nAnswer: p**(-41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 6*(-25)\/15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + -1 - (4 - 26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 771 + 771 - 2*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3637.642 - -3637. What is z rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1911*j**3 - 3*j + 3*j - 655*j**3.\nAnswer: 1256*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1136 - 949. What is the second biggest value in u, 1\/7, -3\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 64, -0.1, -2, 4.\nAnswer: -12, -4, -2, -0.1, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -18.86. Round i to zero decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {p: 2, t: 4, g: 2, k: 1, d: 6}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82293940.8 rounded to the nearest 1000000?\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 9 = -2*f, 72*f = u + 68*f + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41745\/13 + -3211. What is the second biggest value in -1, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000581 rounded to 6 decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oit when three letters picked without replacement from oisgsgstghggtoshg?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 9)*1\/1. Let g be 5034 - (2 - (-4 - p)). Suppose 2*z - g = -2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.435351 rounded to two dps?\nAnswer: 16.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -1.07. Let s be 4\/(-10) - 91*1. Let r = 91 + s. Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 34. Let a(t) = 38*t + 3. Is a(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(20\/488). Let o = -59\/5 - f. What is the biggest value in o, 1\/3, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2467 - 142.1467. Let u = t - -143. Is -6 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*m - 0*m + 22, 0 = 4*a + 3*m - 11. Suppose -18 = -19*t + 13*t. Suppose 5*r + 2 = t*r. What is the nearest to r in 4, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 462 - 2298\/5. Suppose 4*k + 4196 = -r - 4887, 5*k = -4*r - 11340. Let b = 15937\/7 + k. What is the common denominator of b and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3944316*h**5 + 3523753*h wrt h.\nAnswer: -78886320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 2\/13, 3\/8, 5, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 271324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -121?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-3)\/1 - -1)*5. Let a(g) = g**3 - 6*g**2 + 4*g + 1. What is a(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -443, -1155, -2395, -4427, -7515, -11923, -17915?\n\"Answer: -44*a**3 - 404*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 10832*z**3 + 10999896*z**2 - 4964619728*z + 840261888964.\nAnswer: 4*(z - 677)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63676*v + 0 + 63675*v + 0.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*q + 249*q - 20095 = 30249 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3906*w + 0*w**3 - w**3 - 1398*w.\nAnswer: -w**3 - 5304*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + -6 - ((-19 - -55) + -81).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11461 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (7 + 2 - (-9 - -14)) - -13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 80. Let x be 60 - (2 + -2)\/(-7). Calculate the highest common factor of l and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131752\/50 - (-34)\/(-850) is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95482 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:12 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 57*m**2 - 63*m - 289. Give k(-4).\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*v = -105*v + 56 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 5*v**2 - 63*v - 18. Let c be r(6). Suppose s = -3*s + x + 21, -5*x = -s + 10. Solve -5*k = 5*y - 35, -s*k - y + c*y = -15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6397.232 + -6427. Let t = j + -0.232. Which is the smallest value? (a) t (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.4 - 21. Let d = 0.6 + s. Let p = d + 8. Which is the third biggest value? (a) 2 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/7, -2, -24.8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/((-252)\/(-8))*9\/(-6). Let l = 6.9 - 7. Let m be 3\/2*1\/(-3). Sort i, m, l, -0.4 in decreasing order.\nAnswer: l, i, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986 is divided by 917?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.11448 rounded to 2 dps?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*h + 82 = h, -4*x + 138 = 3*h. Suppose -7*s - x = -113. Let g(l) = -10*l**3 - 2*l**2 - l + 2. What is the remainder when g(-2) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/17 + 182*p\/17.\nAnswer: 2*p*(p + 91)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b**3 - 7*b**2 - 7*b + 6. Let l(i) = -11*i**3 - 6*i**2 - 6*i + 5. Let d(p) = -10*p**2 + 62*p - 6. Let m be d(6). What is m*s(o) - 7*l(o)?\nAnswer: 11*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Suppose d*m + 0 - 2 = 0. Solve -m - 5 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 3*n**2 + 4*n + 3. Let u be m(-3). Find the second derivative of 18*y**2 + 3*y**3 - u*y**2 + 2*y wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - -3.4. Suppose i - 31 = -4*i + z, -2*i = 3*z - 26. Put 0.2, a, i in ascending order.\nAnswer: 0.2, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 5:25 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {p: 3, b: 5, z: 1, m: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47225 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 20 - 14 - 7*n**2 to the form q*n**2 + f + y*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.2 and -0.04151571195482?\nAnswer: 1.24151571195482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1136919573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 349, -3, -4 in increasing order.\nAnswer: -4, -3, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.56 and -41.467?\nAnswer: 106.15552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 3*c + 34. Let q(l) = -l**2 - 6*l + 9. Let b be q(-8). Let k be j(b). Suppose 0 = -5*m, -5*g + k*m + 75 = 7*m. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) -3 (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.535149 grams?\nAnswer: 0.007535149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15099, 14718, 14339, 13962?\nAnswer: 13587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*g - 2, 8*g - 4 = 4*g. Let u be (h\/(-2))\/(3 + 21\/(-6)). Which is greater: u or -4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.025*0.07\nAnswer: -0.00175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*p = -2, 0*p = 3*a + p - 8. Factor 4*g**a + g + 172 - 15*g + 84 - 50*g.\nAnswer: 4*(g - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5659 rounded to two decimal places?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.6. Let h = 953396 - 3813581\/4. Let u be (-14)\/24 + (-2)\/(-8). What is the biggest value in -2\/7, u, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*q + 3*v, 76*q + 2*v = 80*q + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52530*n**4 - 28716*n.\nAnswer: -630360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 0, -19, 4 in increasing order.\nAnswer: -19, 0, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.34 + -13.34. Let a = o - -11. What is the second smallest value in a, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 12. Let z(f) = -11*f + 6618. What is -5*v(s) - z(s)?\nAnswer: s - 6678","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 16. Let h = 4 - q. Suppose 3*p + 0*u - 60 = -u, u = p - h. Solve p = -3*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:35 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(54\/44))\/(9*2\/27).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2013 divide 124217044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 9567?\nAnswer: 9567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 5. Let h be g(4). Suppose -21 + h = -2*b. Let w(t) = -2*t**3 - b*t - 5*t**2 + 3*t**3 + 5*t + 2 - 4. Calculate w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k - 44*k + 20*k**3 - 13*k**3 + 27*k.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c - 1. Let y be h(-1). Suppose -v + 181 = 5*i, 0 = 9*i - 4*i - y*v - 175. Calculate the remainder when 320 is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 3*w + 12 = -4*t, 5*t + 4*w = -25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)*n\/n**(2\/49))**(-46)*n**(-3)\/n**(2\/7)*(n**1)**(-7) assuming n is positive.\nAnswer: n**(-6871\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12221 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 + 63 + 61 + c + 54.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1799 = 470*r - 6253 - 5416 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4814 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -387*s - 740*s - 1976*s**2 - 2 + 1977*s**2 to the form p*s + u + r*s**2 and give p.\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 305879.962 to the nearest one thousand.\nAnswer: 306000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-588)\/(-27) + 2\/9. Let u = i + -16. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -137*x**2 + 8*x - 17. Let r(s) = -34*s**2 + 2*s - 4. Let v(g) = 4*j(g) - 18*r(g). What is the units digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -0.0513?\nAnswer: 0.1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:40 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 - 11*h - 6. Give a(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2. Let p(t) = -8*t**2. Let v(s) = -2*j(s) + p(s). Let l(f) = -9*f**2. What is -4*l(d) + 3*v(d)?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -49, 2, 85, 206, 371, 586, 857?\nAnswer: 1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.3. Let j = 37 - 37.7. Let t = j - f. Which is the smallest value? (a) -2\/15 (b) 0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -22 + 0 + 0 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*q + 23 = -3*q, -5*q = 5*i - 65. Let t = -13 - -9. Calculate the remainder when t\/(-2)*38\/4 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/163240485 and 87\/50.\nAnswer: 1632404850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13129 + -14603. Which is the closest to 1\/2? (a) 1 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 - 346420284*b\/5 + 138568116.\nAnswer: -3*(b - 2)*(b + 115473430)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in 0, -170, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 0.2 (c) -2\/17 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/5)\/(6\/(-12)). Let u = 0.5 - 0.56. Let x = u + -0.04. Is x smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**7\/1260 + 29*r**5\/15 - 8*r**2 + 2. Let i(k) be the third derivative of c(k). Let v(z) = 3*z. Calculate v(i(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllvllllllvllzvvvlll?\nAnswer: 1001\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 45045 = 3*b + 7*u, 0 = -5*b - u + 75097. Round b to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 52\/573?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1392\/217 - -190\/31. Put -8\/107, 5, h, 1 in decreasing order.\nAnswer: 5, 1, -8\/107, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:05 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 5*v**2 - 117*v - 567. Let a be z(-5). Solve j + 4*r - 3 = 6, -4*j = -2*r + a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 144\/88)\/(6\/33). Let f be (188*(-5)\/90)\/x + 5. Suppose 0 = -5*n - 4*r + 7, n = -r + 2*r - 4. Which is the closest to n? (a) -1\/3 (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14038\/9 + -3107\/2. Calculate the common denominator of s and (-625)\/(-34)*(-10 - 2265\/(-225)).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33178451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b + 4. Suppose 2*d - 28 = -4*z, 7*z + 12 = 3*d + b*z. Let j = 55 + -27. What is the remainder when j is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 172*o + 89. Calculate m(-2).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*-3 + -2 + 0 - ((-1 + sqrt(425) + -2)**2 + (-1*-1*sqrt(425) - sqrt(425))**2)) + -2)*4*-5.\nAnswer: -300*sqrt(17) + 8760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) -2\/9 (d) -1160 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwvwwwwwvvvwvv. Give prob of picking 1 v and 2 w.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8483.174kg?\nAnswer: 8483174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16*r**2 - 635*r + 2826. Give c(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 + 46*s + 163. Let j be t(-11). Solve 0 = -2*n + 8, j = d + 5*n - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2585 divided by 7697?\nAnswer: -2585\/7697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3 + 7, 2*s = 5*t - 15. Suppose s = -3*c + 14. Suppose -5*n + 6*n + 42 = 5*u, -2*u + 27 = c*n. Calculate the remainder when 15 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*t**5 - 241*t**4 - 433*t**3 - 8715489*t**2 + 3*t - 1 wrt t.\nAnswer: -7140*t**2 - 5784*t - 2598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 17. Let j = -6 + v. Which is the closest to j? (a) -0.1 (b) -1\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.6921 - -0.41.\nAnswer: -7.2821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31292, 62421, 93552, 124685?\nAnswer: 155820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 111494526, 111494525, 111494524, 111494523, 111494522, 111494521?\n\"Answer: -i + 111494527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0 + 0*f**3 + 0*f**4 + 0*f**6 - 6*f**2 - 6\/5*f**7 + 0*f + 311\/60*f**5. Find the third derivative of h(a) wrt a.\nAnswer: -6048*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(((w*w\/(w\/w**(-2\/5))*w*w)\/w)\/w)*w**(-11))\/(w\/w**(10\/7))**36 assuming w is positive.\nAnswer: w**(204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48447716?\nAnswer: 2, 12111929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fca when three letters picked without replacement from aqfxcacqfxfqxxxaqx.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l = -4*k, -k - 3*l = -17. Solve k - 33 = -7*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -203, -99, -105 in decreasing order.\nAnswer: 4, 0, -99, -105, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g - 7. Let h(d) = 2*d**2 + 3*d + 2. What is the remainder when y(-4) is divided by h(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 9:05 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((-40)\/25)\/(-2). Suppose 0 = 4*w + 5*a - 2592, -2*a - 230 + 2822 = u*w. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -509.8624 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*r - 7. Let f(p) = -2 - p - 3*p + 2*p. What is f(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 80 = 5*t, -2*t = y - 3*t - 28. Suppose y = -0*j + 2*j. Suppose -45 = -2*b - j. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 321 + -301. Let v(t) = -t + 158. Calculate the remainder when v(z) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1621, 3277, 5005, 6841, 8821, 10981?\nAnswer: 13357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 6*k**2 + 6*k - 1. Let z = -15 - -8. Let o be m(z). Suppose -v = -21 + o. Calculate the remainder when 27 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3501*j = 3632*j + 3668 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*(-24)\/(-9). Let f(s) = -s**3 + 4*s**2 + 2. Let d be f(q). What is the third derivative of d + 2 - i**2 - 4 - 3*i**3 wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177.43 + -177.433655. What is s rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674271025 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -489*u - u**2 + 10*u**3 - 24*u**3 + 489*u + 1. Let i be x(-1). Suppose -2*n = 2*n, 0 = 2*h - 2*n - i. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30652636?\nAnswer: 2, 7, 43, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131 + -604. What are the prime factors of 866\/30 - -1 - 98\/i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 34*g - 3*o = 6, 2*o = -40*g + 206 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8815845*x**5 - 4*x**2 - 7*x + 2912655 wrt x?\nAnswer: -528950700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -1.70073.\nAnswer: 0.1870803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*g + 12. Let f be ((-684)\/(-10))\/(106\/795). Let i be (-2)\/((-24)\/f) - 9\/g. Calculate the greatest common factor of i and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*r + 3*f + 77, -4*f = -5*r + 396. Suppose -17 = -2*h - l + 4*l, -65 = -5*h + 3*l. What is the greatest common factor of r and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, f: 2, p: 1, i: 7}. What is prob of sequence ff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/g)**(-38)\/(g**3\/((g*g\/(g*g**7))\/g))*(g*g*g**(1\/8)*g*g*g*g*g**(-2\/9))**(12\/11) assuming g is positive.\nAnswer: g**(823\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*m**2\/4 - 18417*m\/8 - 747\/8 = 0. Calculate m.\nAnswer: -3\/74, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6 + (-26)\/(-4). Suppose w*z + 2*d = z - 74, -2*z - 5*d = 38. Is 15 a factor of (-424)\/z - (-2)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*i + 15*i - 2*s + 4, -3*i = s - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*s + 586*s + 502*s - 99*s**2 + 66*s + 4*s**3 + 283*s**2 = 0 for s.\nAnswer: -40, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/10*-2*5. Let a = f + 12. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113584038.\nAnswer: 2, 3, 17, 1113569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -255044313696?\nAnswer: 255044313696.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/12)\/((-3)\/(-4)). Suppose l + n*x - 9 = 3*x, 3*l + x = 27. Let f = -21 - -28. What is the smallest common multiple of f and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j - j)*(-22 + 11 - 19)*(-1 + 1 - 2*j**2).\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 2. Let i(b) = 2*b**3 + 11*b**2 - 9*b - 15. Let a be i(-6). Let y(o) = -o**3 - o - 2. Give a*y(z) - 4*h(z).\nAnswer: -3*z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365828 is divided by 140.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 702.3462kg?\nAnswer: 702346200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4*t**3 + 3585*p**4*t + 1894*p**2*t**3 wrt p?\nAnswer: -48*p*t**3 + 86040*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + p**2 + 4*p + 3. Let i = 47 + 37. Suppose -i = -3*u - 0*u. What is the remainder when u is divided by z(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57.25558 centimeters?\nAnswer: 572555.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31889293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -1.2. Let o = -27 + 37. Suppose 12*q - o*q = -10. What is the third biggest value in f, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3522202360 to the nearest one million.\nAnswer: 3522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 27. Let d = 92 - g. Suppose 3*l - 6 = 0, -5*l + 42 - 32 = -5*r. Solve -n + 17 = -3*q, r = -5*n + 2*n + 5*q + d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + 8. Let u be g(0). Suppose 0 = -o + 6 + u. Calculate the remainder when 39 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1504 (base 9) to base 15\nAnswer: -50d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + r**2 - 37*r + 4. Let l be x(-6). Suppose 5*w + 2*m + 5*m - l = 0, -4*m = -12. Solve 2*y - w*i = 12 + 17, 4*i + 20 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-6 + 266\/56). What is the highest common divisor of q and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 152 - 1215\/8. What is the nearest to v in 5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 1}. What is prob of picking 2 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/18 + 4446\/(-3294). What is the fourth smallest value in 1\/5, z, 0.5, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 6)*(-788*t + 910*t + 388*t)*(-3 + 1 - 3).\nAnswer: 7650*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162057?\nAnswer: 3, 7, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578 + 170 = -102*p. What is the highest common divisor of p and 1350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + o**2 + 1. Let l be t(0). Let z = 1504 + -12435\/8. Let g = -50 - z. Which is the smallest value? (a) l (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24772417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 11:03 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 1. Let i(v) = 8*v + 12. Let c(x) = i(x) + 12*o(x). Let t be c(1). Let z be (-2)\/t - (-27)\/6. Solve 0 = y - 3*u - 11, 5*u + 25 = z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6155d (base 15) to base 7\nAnswer: -2422642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -1958476.\nAnswer: -27418664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 9:51 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 3\/(-5) + (-64)\/10 - -44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0*j + j + 3*j - j**2 - 613 + 614. Let t be v(3). Suppose 4*x - 9*x - 4*u = -242, -258 = -5*x + t*u. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 13*q = -16*q - 130, 0 = -24*n - 3*q - 90 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r + 1. Suppose t - 2 + 5 = -3*c, 2 = -2*c + 3*t. What is the remainder when b(c) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 77, -1, -2 in descending order.\nAnswer: 77, 7, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 + -251. Let j = 4 - s. Let a = 164 - j. Calculate the greatest common divisor of a and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 42.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -10249.6?\nAnswer: -5124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 401 (b) -2\/11 (c) -1\/9 (d) 2\/33 (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:31 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9789 by 9789.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -o + d, -17*o + 22*o + 30 = 3*d - 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**4 - 3*i**3 - i**2 + i + 1. Let w(g) = 817*g**4 - 23*g**3 - 7*g**2 + 7*g + 645. Let y(v) = 7*q(v) - w(v). Differentiate y(r) wrt r.\nAnswer: -3380*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 0)*(4*u - u - 2*u + (4 - 3 + 0)*(1 - 1 - 2)*(-2 + 1 - 1)*(3 + 2*u - 3)).\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 22952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-14))\/(18\/(-63)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 3*x - 3. Let v be y(3). Let r be v + -4 + 2 + 1. Let c(l) = -l + 3. Let b be c(r). What is the greatest common divisor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19 (b) -0.2 (c) 2328 (d) 0.03 (e) -3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (7 + (-29 - -6))) + (-1 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 548485.4 * 2.\nAnswer: 1096970.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57 and 50093.\nAnswer: 2855301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 4:47 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 10199058 = 319058. What is n rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -27.9. Let p = f - 8.0999979. What is p rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6978 is divided by 627?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 616231851 to the power of 1\/4, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1615, -2859, -3947, -4801, -5343, -5495?\nAnswer: -5179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.2 + 1.2. Let r be (-9)\/(-36) + 3\/20. Sort y, r, 3 in ascending order.\nAnswer: y, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668.115 hours to days.\nAnswer: 27.838125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*(6\/9 + 0 + 0). Let p be -3 + ((-18)\/(-7))\/(w\/(-336)). Let s(j) = 4*j + 3. Let n be s(3). Calculate the highest common divisor of n and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1878176, 3756436, 5634696, 7512956, 9391216?\n\"Answer: 1878260*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 7*p**2 + 5*p - 13. Let y be i(6). Is -29*1*57\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.118689ml?\nAnswer: 0.007118689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5678539 divided by 38111.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8752678?\nAnswer: 2, 11, 397849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 12\/5 (b) -2\/5 (c) -1238\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 27*h**2 + 5*h + 74. Calculate the smallest common multiple of 32 and r(10).\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 3:10 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3201, 18436, 59785, 140304, 273049?\nAnswer: 471076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 475, -1, -5 in decreasing order.\nAnswer: 475, 15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:23 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 131309*p - 34 = 131308*p, -4 = -2*c + 2*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5399943222 to the nearest integer?\nAnswer: 73484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/1 + -3 + 6. Solve x - 3 = n + a, -3*x + 10 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-18) - 38\/(-4). Solve 4*d - v = -s, 3 + 6 = s + 3*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 70 + 3 + (-1 - 3). What is the first derivative of -41 + r*p - 41*p - 39*p wrt p?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 3, 11, 23?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 210569a (base 12) to base 11\nAnswer: 3576010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307481.\nAnswer: 307481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6832 in -2\/11, 21.3, 2\/11?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(243) + -1*sqrt(243) + sqrt(243) + sqrt(243))**2 - (2*sqrt(243) + 5)) + ((1*sqrt(243) + sqrt(243))*-1)**2 + -2*sqrt(243) + 3.\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63, -120, -177, -234?\n\"Answer: -57*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 636 = 4*x, 5*x = x + 4*s + 636. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 13 = -a. Let i be ((-21)\/(-14))\/(1\/(-2)). Let p be (-7 - i)\/a + 1 + -499999. What is p rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66996916379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144*m + 141*m - 281*m)*(3*m - 2*m + m).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*j - 21. Let l(m) = 18*m**3 + 17*m**2 - 15*m - 13. Let n(o) = -9*o**3 - 9*o**2 + 8*o + 7. Let h(q) = j*l(q) + 11*n(q). Is h(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 400, 0, -0.3, 83?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/106*(8\/(-828))\/(1\/(-24)*4)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 13*n**9\/3024 - n**6\/20 + 6*n**3 + 20*n. Let q(i) be the second derivative of s(i). Find the third derivative of q(l) wrt l.\nAnswer: 780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 6, 2*w - 6*w = 5*q - 17. Suppose q*u - 108 = 102. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 (base 16) in base 14?\nAnswer: 73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16059\/8 + 2020. Find the common denominator of 75\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14120.866193 + -5218.5?\nAnswer: -19339.366193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 - 107.8. Which is the fourth smallest value? (a) -0.3 (b) l (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w\/(w\/(w**(-2\/13)\/w*w*w))))*w*w)**(19\/5))**(-1\/97) assuming w is positive.\nAnswer: w**(-190\/1261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56441940?\nAnswer: 2, 3, 5, 103, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + p - 128 = -118, 0 = 2*k - p - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59190 + -38108. Suppose 5*k - 285 - s = 4*n, 4*n = -5*k + 21343. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 32*x**4 + 80*x**3 - 40*x**2 - 84*x + 72 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 2151 + 1349. Round s to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29515 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 4. Let y = 8 - 13. Calculate b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 266 = 252 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jenjecjwjw. What is prob of picking 2 w?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -8. Suppose l*f + 12 = 9*f. Let u(i) = i**2 + 5*i - 1. Let r be u(-4). Sort -4, f, r in descending order.\nAnswer: f, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3697*u**2 - 3697*u**2 + 59410*u**3 - 59408*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-45))\/(-7) + (-6)\/(-35)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 157 and 157 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 58*v**2 - 13*v - 639. What is the remainder when 1368 is divided by a(-58)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/2)*j*j)\/j)\/j**(-11\/4)*(j\/j**(-32)*j)**(1\/6) assuming j is positive.\nAnswer: j**(143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 1\/29, 0.4, 0.3, -0.26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwwpwppccttr. Give prob of picking 1 c, 1 t, and 1 p.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36 - 10 + 732*l + 3236*l**3 + 47 wrt l.\nAnswer: 19416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34256*n**2 - 22636*n wrt n?\nAnswer: -68512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*g - 14, -2*y - 7 = -25*g + 28*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.638 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 135*r - 941. What is w(-142)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1240311.49698 - 1240294. Let a = i - 17.5. Round a to 4 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 7 = -2*u + 2*l, -u - 2 = 4*l. Let j be (-34)\/4*(-18)\/27. Let p = j + u. Sort -2, p, 17 in decreasing order.\nAnswer: 17, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s. Let w(b) = -14*b. Let a = -171 + 263. Let o = 75 - a. What is o*i(u) + 6*w(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*p + 3*d, 5*p - 5*d + 2*d = 55. Let n(g) be the second derivative of -g**3\/6 - g**2\/2 - 30*g - 150. Give n(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 5*k - 21, 2*k = 4*h - 2. Let t = h + 1. Let q be (20 - 1533\/77) + (-1 - (-3064)\/3322). Is t < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8161496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02064251299 rounded to four dps?\nAnswer: 0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p - 1392. Let h(x) = 8*x + 1389. Give -7*g(m) - 6*h(m).\nAnswer: m + 1410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 - 2*i - 2. Let t(w) = -16*w**3 + 9*w + 12. Let n(h) = 33*h**3 - 18*h - 25. Let g(j) = -3*n(j) - 7*t(j). Determine -2*g(v) + 9*u(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4354 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**4 - 9*d**2 - 626*d.\nAnswer: -48*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*l - 82*l + 657 = 1917 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1119149\/28 - -39971. Let w be (-1 - 11)\/3 - 2. Find the common denominator of i and w\/8 - 5\/15.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243 + -170. Suppose -19 - u = -4*c. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 2 (c) -0.11 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175641 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183395 is divided by 60509.\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, k: 1, d: 4, u: 5}. Give prob of picking 1 d and 1 k.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2. Let r(h) = 10*h + 3429. What is r(i(s))?\nAnswer: 20*s**2 + 3429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10712, 21422, 32132?\nAnswer: 42842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 301796 and 1976?\nAnswer: 7846696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 194*f - 4054. What is k(19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/60 - r**4\/24 - r**2. Let y(p) = 3*p**2 + 7*p. Let l(n) = -6*c(n) - y(n). Let w be l(1). Solve -w = -4*x + 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d*x**2 + 48*d*x - 137*d - 93 wrt x.\nAnswer: 8*d*x + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 7 + 7 + (-5 + 0 + 4)*(-22*b + 3*b - 2*b) to u*b + a and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o + 20*o = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 780571\/165711 + -13\/1821. Let f = 50\/13 - j. Which is the fourth smallest value? (a) -8 (b) 0.2 (c) -2\/17 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n - 1. Let u(o) = -o. Let f(x) = 4*x. Let a be 5 + (-4 - (4\/(-4) - 0)). Let h(w) = a*f(w) + 7*u(w). What is -6*h(v) - i(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47165197?\nAnswer: 739, 63823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-2)\/(-2))*1. Is (-4)\/8*-1438*b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 430*r + 432*r + 14, -5*b - r = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -6. Which is the third biggest value? (a) 2\/9 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/4*(-24)\/(-9) and 21 + 2607\/(-132) + 1141\/252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 65 = 60 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 28 = -74*m + 69*m, 3 = 3*m + 18*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188 and 4?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 641977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 318711 - 70810. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -245.979 + 248. Let z = -15 - -15.021. Let o = z - x. Do -1\/9 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.081 (b) -1 (c) -3\/4 (d) 0.157 (e) -3 (f) 55 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 820 - 1345. Let g = 524.9703 + i. Round g to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537458 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a**2 - 933*a - 10844. Calculate t(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2220 and 23458148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-438)\/(9\/(-3))*-24*26\/(-1248).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 920 (b) -5 (c) 3\/2 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20773*a**2 - 3907?\nAnswer: -41546*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 187. Which is the smallest value? (a) j (b) -4\/5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328297231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viiv when four letters picked without replacement from iiiiiiiiviivi.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 9, w: 1, f: 4, v: 1}. Give prob of picking 1 v, 2 d, and 1 g.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 3*c + 5 - 22, 2*c - 12 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -205*p**3 - 158*p**3 - 36*p + 71*p**4 + 4*p**4 + 192*p**2 + 78*p**3.\nAnswer: 3*p*(p - 3)*(5*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(360) - -2*-1*sqrt(360)) + sqrt(360) + sqrt(360))\/(sqrt(30)\/(1*sqrt(3))))\/(sqrt(120)\/sqrt(90) - sqrt(192)*3).\nAnswer: -3*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n - 55. Let x be t(-15). Let l = x - 74. What is the greatest common divisor of l and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1886 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Suppose w - 4*w + 30 = 0. Let u be (-4)\/10*w\/(-14). What is the nearest to 1 in i, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 2 - 2 - 1 - 2*l + 1 + (-3 + 5 + 0)*(2 - 2*l - 2) + 3*l - 3*l - 2*l - 1 + l + 1 + 36 - 5*l - 36 - l + 3*l + 0*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -4021?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10131 - 110?\nAnswer: 10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87356794219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41716\/17 - -2454. What is x in 10\/17 + 8\/17*x - m*x**2 = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.9 (b) 1\/7 (c) 0 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {a: 2, j: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 4*w - 22, 16*w = -2*b + 19*w - 23 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109995389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/3)\/((-135)\/(-255)*17).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363244 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrdrdrdrrr. Give prob of picking 3 d and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 11 = -5*u, -10*u + 8*u = 5*l - 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.3, 1\/2.\nAnswer: -0.3, -1\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1443 - -1442.9752. What is q rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 13 + 1. Let l(b) = -b**3 + 6*b**2 + 9*b + 6. List the prime factors of l(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 290 - -1109. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 28161?\nAnswer: 28151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**4\/3 + 4*u**3\/3 + 2*u**2 + 10*u. Let w(o) = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-24)\/(1 - (-10)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(10\/11))**(3\/41)\/(h*h**(2\/17)*h\/h**35) assuming h is positive.\nAnswer: h**(252619\/7667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 452, 532, 696, 956, 1324, 1812, 2432?\n\"Answer: 2*o**3 + 30*o**2 - 24*o + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245271392.\nAnswer: 2, 107, 71633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m. Let a be z(1). Suppose -8 = -2*i - a*i. Let t be i - (4\/12 - -4). Which is bigger: t or -4\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2. Let z(f) = -f + 18. What is z(l(a))?\nAnswer: -3*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b + 5*b**2 - 8*b**3 + 3*b**3 + 6*b + 5*b + 4*b = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 - -1792\nAnswer: 1791.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58565*t**4 + 3*t**3 - 8375655*t?\nAnswer: -702780*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 112*q - 10. Let d be ((-8)\/(-3))\/((-2)\/(-6)). Let s be b(d). What are the prime factors of (-2)\/9 + s\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -289*g**7\/1260 - 187*g**6\/120 - 20*g**5\/9 + 187*g**4\/24 + 121*g**3\/4 - 2805*g**2. Solve l(z) = 0.\nAnswer: -33\/17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1581308)\/(-954))\/((-4)\/(-18))?\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -3\/5, -20153?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4009.74 + 3975. Let n = -34.8 - q. Which is the biggest value? (a) n (b) -0.4 (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 272287*b + 1906023. Give a(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2619831 to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9255332 tonnes in micrograms?\nAnswer: 925533200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2106 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4755*q + 58900 - 344200 = 0 for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m\/m**(-1))\/m*m)**(-15)*m**(2\/7)\/m*m*m\/(((m\/(m\/(m\/((m*m**(4\/9))\/m))))\/m)\/m)*m)**(4\/21))**(7\/5) assuming m is positive.\nAnswer: m**(-2080\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 4 + 0)*-4. Let r = c - -12. Let f = r - 14. What is the smallest common multiple of f and 31?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-1 - 15) + (-2 - 0) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12*4\/(-80)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 + 2*g - 2*g - 2*g**2 + 4*g**2 + 0*g**2 - 3*g + 3*g + 2*g**2 + (-2 + 2 - 2*g)*(-g - 3*g + 2*g) + 0*g**2 + 5*g**2 - 21*g**2 - g**2 + g**2 + 2*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*a + 586*a + 867*a.\nAnswer: 2192*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1199 + 2646 + 2*l + 1507 to q + f*l and give q.\nAnswer: 2954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -20, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24983, -24864, -24659, -24362, -23967, -23468, -22859?\nAnswer: -22134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 13*g = -86. Let x = g - 89\/2. Let r be 0\/(2\/2) + -1. What is the nearest to x in -5\/3, 0, r?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 95. Suppose -d = -9*z - 9. Solve -z = -2*n + 6*f - 4*f, 5 = 5*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 13*m - 30. Suppose -d + 76 = -3*j, -7 = m*d - 27. List the prime factors of (-1)\/(-8) + (-2493)\/j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/((1026\/36)\/(-1))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -4\/69, -23.2?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 982338088 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2*sqrt(162) + 3 + sqrt(162) + sqrt(162))*4 + 4 + (sqrt(162) - (sqrt(162) - (-1 + sqrt(162)))) + 2))**2.\nAnswer: 7650*sqrt(2) + 11275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/3, 0.2, -5 in increasing order.\nAnswer: -5, -4, -2\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-3))\/((4\/3)\/(-2)). Suppose -2*g - q - 1 = -3, 10 = 4*g - q. Calculate the highest common divisor of g and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 4628.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5724036 and 2820.\nAnswer: 28620180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.08, 9, 10630 in decreasing order.\nAnswer: 10630, 9, 0.1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 87?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/25*30\/102\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 6 + 4 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9582688477 + 11.986?\nAnswer: -9582688465.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -411.8 + 411.8. Let m = 0.2 - 0.3. Which is the fourth biggest value? (a) -6 (b) -5 (c) u (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9847 - 21345?\nAnswer: -11498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-9695)\/(-1662))\/((-4)\/12)\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -1 in increasing order.\nAnswer: -9, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:54 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(800)\/sqrt(5)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c. Let m = 14 + -9. Suppose -3 - 2 = -k + 4*w, -m*k - w + 4 = 0. Let q(j) = 8*j. Let u(t) = t. Let f(x) = k*q(x) - 5*u(x). Give f(r(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dsibiisaidd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113085, 224092, 333023, 439878, 544657, 647360?\nAnswer: 747987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*y - 61, 5*y - 60 + 24 - 23 = -i for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25601 - 51*z - 52*z - 25601 + 229*z - 46*z - 77*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.788 rounded to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.423364 + 1.423364. Let u = -0.8 + -0.1. Let z = 1 + u. Sort -17, z, h in descending order.\nAnswer: z, h, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 15*y + 652. Let d be b(-42). Solve -139*n - d = -128*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*(j**22*j)\/j*(j*j**(3\/25)*j)\/((j\/((j*j*j**(21\/4))\/j))\/j*j))**9 assuming j is positive.\nAnswer: j**(31833\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223141 + -4?\nAnswer: 223132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3567 divided by 1437?\nAnswer: -1189\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5533 plus -722?\nAnswer: 4811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 6333 = 30561. What are the prime factors of j?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7516 + -4.\nAnswer: 7512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.1 + 31.5. Let i = a - 2.4. Let h = i - 15.936. What is h rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -407196442 - -407196475.99999966. Let c = 34 - r. What is c 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 derivative of -35*x**2 - x**4 + x**2 - 33*x**5 + 0 + 2 - x**2 wrt x?\nAnswer: -1980*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**2\/11 + 83456*k\/11 - 33384\/11.\nAnswer: 2*(k + 8346)*(5*k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, h: 1}. Give prob of picking 3 g and 1 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -1\/2*d**3 - 3*d**2 - 1\/4*d**4 + 0 - 22*d. Let w(a) = 7*a**2 + 5*a + 12. Let r(j) = -2*w(j) - 5*x(j). Calculate r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12815?\nAnswer: 5, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -13*l**2 + 82*l + 6. Give o(5).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313100 + 1302?\nAnswer: 321002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3191359545?\nAnswer: 3, 5, 11, 83, 173, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 - -223. Let p(g) = 2*g**2 + 4*g - 1. Let l(r) = r**2 + 3*r - 1. Calculate n*p(u) - 4*l(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 50437.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 17 = 19*g. Let x(c) = -c - 7. Let n be x(-7). Factor n + 2\/5*a + g*a**2 - 2\/5*a**3.\nAnswer: -2*a*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -19 - -4) + -10.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 33. Let s(d) = -d - 17. Determine -3*b(i) - 7*s(i).\nAnswer: -2*i + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Suppose -m = 2*l, -l - u*m = l. Let q(c) = -c**2 + c - 12. Calculate q(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 3. Let i be u(-7). Calculate the highest common divisor of 605 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389*t + 81*t**3 + 389*t + 3213 + 24*t**3 - 3213.\nAnswer: 105*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(3 - 2)*378\/210?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2321 + 30?\nAnswer: -2261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - u**3 + 4*u**3 + 21*u - u**3 - 7*u.\nAnswer: -u**3 + 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -588 divided by 6\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45, 110, 175, 240?\n\"Answer: 65*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*h - 526 + 526 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let v(f) be the first derivative of f**2 + 2. Determine v(y(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 905 + -910. What is the nearest to -4 in 3, -0.4, q, 1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 27 - 24 - (-2 + -7) - 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4832 + 4832 + 1747*h**2.\nAnswer: 1747*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69736490 a multiple of 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-2.04\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u + 204. What are the prime factors of u\/3*(-2 + 11)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.4 times 0.009\nAnswer: -0.1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) + (2*sqrt(130)*1 + sqrt(130) + sqrt(130) - sqrt(130))))*2)\/(-5*(1*sqrt(90) - sqrt(90) - sqrt(90))).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -27*j. Let v(g) = -44*g. Let b(f) = 10*k(f) - 6*v(f). Let c(d) = -546*d + 546*d - d**2. Give b(c(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3019 + -27239\/9. Let o be 140\/(-375)*1234\/64. Let x = o - -11\/150. Calculate the common denominator of b and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -2350005?\nAnswer: 2350005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 4*a**2. Let h(g) = g**4 + 2*g**3 + 5*g**2 + g. Let l(c) = -2*h(c) + 3*v(c). Factor l(z).\nAnswer: -2*z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**19*((g*g**(-6))\/g*g)\/g**(-1\/3) assuming g is positive.\nAnswer: g**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 48*d**3 - 9*d**2 + 23*d - 21. Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 1 u when three letters picked without replacement from oullmoululutwuu.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5713880 and 8124?\nAnswer: 2708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(5\/(-15))\/(-1). What is the derivative of 18*u**4 + a - 6*u**4 + 3 wrt u?\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.03 + 226.97. Let s = -231 + r. Put -1\/5, 1.6, s in ascending order.\nAnswer: s, -1\/5, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 244056*w + 3722708196.\nAnswer: 4*(w - 30507)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20573 + 2*x - 36155 + 20681)*(0 - 1 - 1)*(-2 + 2 - 1) to o*x + w and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -3\/22 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -700*s + 695*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, -82, -314, -764, -1504?\n\"Answer: -12*t**3 - t**2 + t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1740669 rounded to 4 decimal places?\nAnswer: -0.1741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*v = -45, -v + 2*v = 0. Let g = 12 + j. Differentiate -x**g + x**3 + 3 + x**4 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 2*k - 1. Let q(v) = -v**2. Determine d(h) - q(h).\nAnswer: 4*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-15) + (-2)\/(-3). Suppose -3*m = -c*m + 5. Suppose 2*f + 1 = -m. What is the nearest to 0.1 in 3, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:09 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p - 2 + 0*p)*(-4 + 2 - 4)*(182 + 236 - 123).\nAnswer: -1770*p + 3540","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 6:07 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 25 + 35 = 0. Suppose s + 5*s = r. Let i be 62\/4 + 5\/s. Calculate the greatest common divisor of i and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 3 - 3)*(15*u**2 - 6*u**2 + u**2) - 6*u**3 + 3*u**3 + 2*u**3 + (2*u**2 - 2 + 2)*(0*u + u - 3*u) to x + y*u**2 + s*u**3 + g*u and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*b*c**3*m - 457*b*c**3 + 2*b*c**2 - 147*b*c*m**2 + 2*b*c - 3*c**3 - 2*c**2 + 99*m**2 wrt m?\nAnswer: -7*b*c**3 - 294*b*c*m + 198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a**2 - a - 1. Let q be c(-1). Let l(o) be the second derivative of o**3\/6 + 19*o**2 + 831*o. Calculate the remainder when 205 is divided by l(q).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, c: 10, s: 2}. What is prob of sequence qsqc?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4478, 8918, 13356, 17792, 22226, 26658?\nAnswer: 31088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3848254 is divided by 262?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-6)*8\/10. Let q be 624\/21 - n\/7. Suppose 2*s - q = -4*a, -4 + 2 = -2*s. Solve -2*h + u = a, 0*h + 3*u = 3*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*c = 3*c - 7, -2*c - 6 = -4*z. Suppose 700000 = -3*w + z*w. Round w to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 5b3a1?\nAnswer: -5b3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 122757600871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 15 + 58*a - 1 - 4 + 9.\nAnswer: 4*a**2 + 58*a + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 27*p**2 - 62*p - 61*p - 72 + 7*p + 3*p**3 = 0 for p.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53377455319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2.9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 5*w - 3 = -5*c, w = 2*c - 5. Let t(i) = i**2 + 2*i - 4. Let p be t(-4). Suppose 0 = -8*o + p*o. Put -1, o, c in decreasing order.\nAnswer: c, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 2*f**3 + 4*f**3)*(4*f + 5 - 5) - f**4 + f**4 + f**4 + (-f**3 + 1 - 1)*(-2*f - f + 2*f).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 - 184. Let x = 22.025 + -0.025. Let t = l + x. What is the nearest to t in 2, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 - y**2 - 7*y + 12. Determine x(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/175)\/(6\/5)*-3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*c = 161*c + 54 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b - 1. Let a(t) = 15*t - 35. Let x(r) = 15*r - 44. Let d(q) = 5*a(q) - 4*x(q). Give 4*d(g) + 9*f(g).\nAnswer: -3*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 24 = 5*f. Suppose -2*o + 12 = 2*k, o = k + 5 + f. Suppose 4*d = 8*d - o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1883 + 2204. What is the remainder when o is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 3*l**2 + l. Let n(z) = -z**3 + 3*z**2 + 4*z - 3. Let g = -12 - -16. Let m be n(g). Give p(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 13. Let g = -0.163 + 1.153. Let m = -0.59 + g. Put m, l, -4 in increasing order.\nAnswer: l, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {g: 4, p: 1, j: 10, q: 1, r: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4\/8 + 525*a**3\/8 + 9141*a**2\/8 + 39039*a\/8 + 7605\/2 = 0.\nAnswer: -156, -13, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 w when three letters picked without replacement from wlzllzllwz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**4\/4 + 2*z**3 + 3*z**2\/2 + 2*z - 4. Calculate v(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -13*i. Let v(c) = 4*c**2 - 4. Calculate v(r(o)).\nAnswer: 676*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -109032.08097 rounded to the nearest 100?\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 7*k**2 + 59. Give u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - ((-3 - -4) + -1). Let o = 11 - 6. Suppose 2*l = 5*i - 6, x*i + 31 - 12 = o*l. Calculate the least common multiple of 9 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -11. What is the nearest to p in -2\/9, 2, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4701 equal to 4733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 divided by -159540.\nAnswer: 151\/159540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/10 - 7*s**4\/3 - 49*s**3\/3 + 10*s - 2. Find x, given that n(x) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 6 = 19*b - 16*b, -2*b - 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 305453147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 19*x - 813. What is the remainder when 97 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31731 and 8013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302339\/34 + -8894. Find the common denominator of a and (-10)\/(-30) + (-62)\/(-66).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 834 - 834. Let t(a) be the first derivative of 3*a**3 + q*a**2 + 0*a - 14 - 3\/4*a**4. Factor t(d).\nAnswer: -3*d**2*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 2. Calculate the least common multiple of 19\/(s\/4 + 1) and (-744)\/(-868)*(-56)\/(-6).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 435*w - 438.\nAnswer: 3*(w - 146)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 715031703 to the power of 1\/4, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)\/c)**(1\/9)\/((c\/c**(5\/3))\/(c*c**(1\/4)*c)))**46 assuming c is positive.\nAnswer: c**(11431\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 4. Let u be h(7). Suppose 0 = 7*w - u*w - 24. Let p(x) = 13*x**2 + 2*x - 11. Let s(y) = -7*y**2 - y + 6. Determine w*p(i) + 11*s(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a7a4 (base 15) to base 14.\nAnswer: 37b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51721, -53108, -54493, -55876?\nAnswer: -57257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/13 (b) 0 (c) -11169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3311 (base 8) to base 12\nAnswer: -1009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95604, -95756, -95908, -96060, -96212?\nAnswer: -96364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 179 and -26.98?\nAnswer: -4829.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -713, -5724, -19325, -45812, -89481, -154628?\n\"Answer: -716*n**3 + n**2 - 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 12.566, 3\/14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 - (-13 + (27 - 18) - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13*(1 + (-2)\/3). Do -5 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*2*(sqrt(1300) + -2*1*sqrt(1300))**2)*6.\nAnswer: -31230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*3*4\/18. Let o(r) = 18*r + 523. Let t be o(-27). Let g = t + k. Calculate the greatest common divisor of 140 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/((-2)\/((-4)\/(-40)*5))*(-340)\/(-255)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140 + 47 + 2 + -34 + 0?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 16.8. What is the closest to 2\/7 in -4, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366\/(589626\/(-22375))*-1*(-1)\/((-5)\/(-1))\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260428691 and 382?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 12\/8)*6. Solve -n - 31 = 4*t - 6*n, c*t + 27 = 5*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 60 = -2*t. Let o = t - 26. Sort o, 4, -3 in ascending order.\nAnswer: -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 4:09 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -5. Suppose 5*y + p*l = 0, y + 3*l = -3*y. Solve 6*f - 3*f = y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 bigger than 282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 1, -134, 2\/15, 0 in increasing order.\nAnswer: -134, -2, 0, 2\/15, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d = -4050 + 1946 + 648 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4 + 8*w**3 - 4*w**2 - 8*w + 6 = 0. Calculate w.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 80\/3540*2*9\/24\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 1 - 10*t - 1 to s + u*t and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2204, 2779, 3382, 4025, 4720?\nAnswer: 5479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*c - 25, -5*c = -o - 4*c + 8. Let j(d) = 10*d - 5. Let k(a) = -5*a + 3. Calculate o*k(f) + 3*j(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/(y**(-13)*y))*y*y\/(y*y**(2\/27)*y) assuming y is positive.\nAnswer: y**(-326\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 485, 0.5, 0.4, -1\/3, 3, 7 in increasing order.\nAnswer: -1\/3, 0.4, 0.5, 3, 7, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220856, 220693, 220530, 220367, 220204, 220041?\nAnswer: 219878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 + 6957*r**2 - 1416446*r - 2860728 = 0.\nAnswer: -2, 212, 6747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 + -8 - -803) + 1 + -8 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/5 of a meter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -5*l**3\/6 - 5*l**2\/2 + l. Calculate the remainder when (-27 + 23)*((-39)\/4 + 0) is divided by i(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 175.\nAnswer: -1\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 10*t**3 + 6*t**2 + 4*t + 824. Let r(z) = -18*z**3 - 11*z**2 - 7*z - 1645. Determine -4*r(w) - 7*u(w).\nAnswer: 2*w**3 + 2*w**2 + 812","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbtbtbx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 8, 7 in decreasing order.\nAnswer: 8, 7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*d + 16, 13 - 2 = 2*h + d. Solve -m = a + h, -4*m + 3*m + 1 = -a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2962425529 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 31 = -h, -2*d - 2 + 34 = -2*h. What is the remainder when 1 - (1 - 27*1) is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 558620 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47219899*l**3*u**2*x**2 + l**3*u + 12*l**2*u**2*x + 6*l**2*u*x + 9*l**2*u - 350*l*u**2*x - x**2 wrt x.\nAnswer: 94439798*l**3*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 99074558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 9:07 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/5 in -0.1, -3\/2, 0, 315?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133270856066 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -3*w**3\/2 + 38*w - 1. Let b(x) = 3*x**2 - 9*x. Calculate b(d(r)).\nAnswer: 243*r**2 + 81*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 + 11*s**2 + 5*s**2 + 4*s**2.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 2*q**2 + 2*q - 2. Let k be m(2). Let o(y) = -y**2 + 2*y + 1. Let t be o(k). Let h(d) = -6*d**3 - d**2 + 1. Determine h(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56443079 divided by -3421.\nAnswer: -16499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u = 29. What is the greatest common factor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/431 - 415\/3448. What is the closest to 3\/2 in y, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3611240298?\nAnswer: 2, 3, 4019, 49919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - 4*a**2 + 2*a**2 + (-2 - 2*a + 2)*(-a + 3*a + 0*a) + (-3 - 2*a + 3)*(96*a - 16*a + 10*a).\nAnswer: -185*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 765\/(-18)*8\/6*61\/((-7320)\/144).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.74 - 0.26. Which is the second biggest value? (a) 3 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10612, -10616, -10620?\nAnswer: -10624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2)\/((-2)\/10). Let j = -0.07 - -3.07. What is the third smallest value in j, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m + 2 + 6 - 4*m**5 + 6 + 5*m**6 - 14 - 193*m**2 wrt m?\nAnswer: 600*m**3 - 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -56, -0.4, 0.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 26*x - 8. Let j be a(14). Let w be 1\/2*j\/16. Suppose w*i = 3*n - 15, -2*n - 2*n = -20. Solve 3*b - 8 - 1 = i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 - -184.73. Let x = h - 205. Let o be ((-4)\/6)\/(2\/6). What is the second smallest value in 0.1, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*v + 0*v = -41, 0 = 2*r + 3*v - 23. Suppose 0 = 3*b - 1 + r. Let m(d) = -3*d + 1. Calculate m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 791 - -699. What is w rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33735, -67468, -101201, -134934, -168667, -202400?\n\"Answer: -33733*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 36*v**2 - 75*v + 52. Let p be q(-38). Suppose 0 = p*w - 12*w - 1334. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 778196447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 590571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -294 + 298.85. Let y = -2.85 + i. What is the nearest to 2\/7 in y, 9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**4\/6 - f**3\/3 + f**2 - 94*f. Let y(h) = -6*h**2 + 7*h - 7. What is -4*y(d) - 14*z(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 5*m + 6. Let y be -2*2\/(-4) + 6 + 1. Suppose -a = -2*s - y, -4*s - 7 = -4*a + 9. Calculate b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/((p**(2\/37)\/p)\/p))*p**(7\/5) assuming p is positive.\nAnswer: p**(-101\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/28 and 85\/92782.\nAnswer: 1298948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.067 times 2\nAnswer: -0.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4*x - 3*x - 10, -5*x + 17 = -s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3634, -14640, -32982, -58660, -91674, -132024, -179710?\n\"Answer: -3668*w**2 - 2*w + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -18. Suppose 2*c - f + 14 + 6 = 0, 5*f - 10 = 0. Let a = z + c. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667307887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/3494865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65580918 - 77919082 = 5*u. What is u rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*u**2 - 431*u**2 + 217*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Suppose -2*s - 6 - 2 = 0. Let i = 7 + s. What is the remainder when c is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is the second smallest value in -35, -3, 1, -1, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - k - 4*k**3 + 5*k**3 - k**3 + 15*k**4 in the form l*k**3 + m*k**4 + h*k + u*k**2 + v and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = 9 - 21 - 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12782 + -369085.\nAnswer: -369084.87218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - t - 466 - 799 = 0, 0 = -h + 3*t + 630. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/948 and 5\/15168.\nAnswer: 15168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*n**2 + 112*n - 347*n + 118*n + 2 + 105*n as l*n**2 + r + j*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000081122999 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14013 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 345213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281938.\nAnswer: 2, 29, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 117048320 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113447\/6 + -18907. Let b = 18.92 + -28.8. Let v = -0.12 + b. Is v at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -1\/3 (b) -14 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2351358 divided by -261262.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -717380730*f**2 - 94*f**3 + 717380730*f**2 - 56*f**3.\nAnswer: -150*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*k - 41. What is the highest common factor of k and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272.2141 kilograms in micrograms?\nAnswer: 272214100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4274237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aajd when four letters picked without replacement from sadsjac.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163830955 by -1.\nAnswer: 163830955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -8*t + 168. Let r be (-2)\/3 - t\/(-21). Find the second derivative of q**2 - q**2 - 3*q**r - q - 2*q wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3007.738955 + 3007.6. Let c = 0.139 + o. Round c to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6522 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*j**3 - 953*j**3 + 922*j**3.\nAnswer: -687*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -4741.735 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10088*p - 10086*p - 4*p**2 - 298*p**3 + 4*p**3.\nAnswer: -294*p**3 - 4*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7165601766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/10, 11, -4, -2\/5, -24 in increasing order.\nAnswer: -24, -4, -3, -2\/5, -3\/10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and -0.4149.\nAnswer: -1.2149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*w - 2*j, -2*j + 0*j - 13 = -3*w. Suppose 0 = 7*m - 2*m. Suppose 4*u + 8 = m, u + 4 = -2*g + g. What is the biggest value in 0.2, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnmnnnnnnnn. What is prob of sequence nnmn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8562475 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4\/7 - 24*l**3 - 309*l**2\/7 + 828*l\/7 + 972\/7 = 0 for l.\nAnswer: -54, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*v**3 - 19 + 22*v**3 - v**3 + 20 to s*v + y + u*v**3 + g*v**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, 7, 29, 69, 133, 227, 357, 529?\n\"Answer: h**3 + 3*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4*a + 3 + 1)*(-4*a - 2*a + 2*a).\nAnswer: 16*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 13*x**5\/20 + x**4\/3 + 14*x - 24. Let q(k) be the first derivative of o(k). Find the third derivative of q(s) wrt s.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*k - 19*k + 22*k**2 - 3*k + k**2 + 3*k + (k - 2*k**2 - k)*(-3 + 3 - 1).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 9, 3*h - 3*z + 6 = -8*z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-33297)\/(-4) + 2 + (-3)\/12?\nAnswer: 2, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**3 + w**2 + 4*w. Let n(p) = -p**2 - p. Let o(j) = -4*n(j) - u(j). Find the third derivative of o(v) wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*o + k - 2*k, -5*o + 25 = 5*k. What is the closest to 0.2 in -1\/3, 2\/7, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Suppose 0 = j - r + 7, 231*j - 229*j = 4*r - 16. Sort d, j, 1, 8.\nAnswer: j, 1, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s - 1. Let q = 2 + 2. Let n = -5 + q. Let w(k) = 3*k - 5*k - 1 + 3*k**2 + 2. Give n*h(j) - w(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, l: 1, d: 1, u: 1, o: 1}. What is prob of picking 1 l, 1 g, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + -43)\/(1\/(-1)). Differentiate 11 + 210 + 43*z + 68*z + 83*z - q with respect to z.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151902 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2 - 3 - 2 + 2 + 4*o. Calculate the remainder when 7 is divided by a(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*d + 1)*(-d**2 + 0*d**2 - d**2) - 2*d**3 - 4*d + 4*d + 4*d**3 + 64*d**3 - 8*d**3 + 3*d - 3*d + d**3 + (3*d**3 - d**3 + 2*d**3)*(0 - 1 + 2).\nAnswer: 59*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/4*l + 9\/4 + 21\/4*l**3 - 9\/4*l**2.\nAnswer: 3*(l - 1)*(l + 1)*(7*l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -25008 + 1485. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -132. Suppose 3*m + s = 0, -13*m - 3196 = -4*h - 8*m. List the prime factors of h.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -15*g**2 - 46*g. Let f be h(-3). Suppose -s - 9 = -2*s - f*j, -2*s + 16 = 5*j. Solve -s*a - 3 = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 10 - 28. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7086008 * 4\nAnswer: -2.8344032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31276813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*a**3 + a**2 + 15*a**3 - 208*a**3 + a**4 + 67*a**3 as z*a**3 + f*a**4 + n*a + g + l*a**2 and give z.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 8:25 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) -2\/5 (c) 2\/7 (d) -5 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10001001011010001000000 (base 2) to base 11\nAnswer: -25a5956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 11, i: 3}. Give prob of sequence iia.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286848 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 0 + 0*n + 1\/420*n**5 + 361\/42*n**3 + 48*n**2 + 19\/84*n**4. Factor s(a).\nAnswer: (a + 19)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3715605 to the power of 1\/2, to the nearest integer?\nAnswer: 1928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27150\/(8 - 2)*2000. What is f rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 12:46 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-52) + 6\/8. Let r(j) be the first derivative of 109*j**4\/4 + j**3\/3 - 2*j + 100. Does 12 divide r(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*g - 431, 2*g + 5*r - 291 = -29. Suppose -3*z - 4*s - 417 = 0, -4*z - 2*s - g = 405. Calculate the remainder when 38 is divided by (-1)\/(3*3\/z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.064 + -0.064. Sort 2, -0.2, k, 5.\nAnswer: -0.2, 2, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 992 and 204429996.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6003.26 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 2, -4\/3, 13\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + s + 2. Let l(a) = -a**2 + a + 2. Let y(q) = 2*l(q) - 2*w(q). Suppose -6*x + x = -10. Let n(f) = -5*f + 2*f + x*f. Calculate n(y(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*s - 14*s - 12*s**2)*(2 - 4 + 4)*(2 - 2 - 1 + (0 + 1 + 0)*(2 + 1 - 2) + 0 - 5 + 6)*(-3 + 2 - 1).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrwrrwwwrwr. What is prob of picking 2 w?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3489 or -3487?\nAnswer: -3487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10880.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p + 2*p - 157 + 166. What is the remainder when h(-6) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjiijj.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*q**3 - q**2 + 103*q wrt q.\nAnswer: 150*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q. Let d(v) = -7*v**2 + 3*v**2 + 2*v**2. Give d(l(z)).\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9556291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(70) + sqrt(70) + sqrt(70)*3) - (sqrt(70) + -2*(sqrt(70)*1 - sqrt(70))))\/((-2*(sqrt(90) + 2*sqrt(90)))\/(sqrt(81)*3)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1303*t - 2602*t + 1308*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660*k**2 + 689*k**2 - 164*k**2.\nAnswer: 1185*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*j + 4 + 2*j)*(-j**2 + 0*j**2 + 0*j**2) - j**3 + 2*j**3 + j**3.\nAnswer: 3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10002 (base 7) to base 3.\nAnswer: -10022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + k = -1, -2*k = -w - 7*k + 7. What is the greatest common divisor of 14 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573607.792 rounded to the nearest one hundred?\nAnswer: 573600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.00506 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) -0.06 (c) -1\/3 (d) 0.06 (e) -961 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49, -38, -21, 2, 31, 66, 107?\n\"Answer: 3*k**2 + 2*k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 75400*d**2 - 4810240*d - 76881920.\nAnswer: -5*(d + 32)**2*(d + 15016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 300178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2755 is divided by 212?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + 1 - -42)\/(5\/285)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 1:27 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20801 or -20803?\nAnswer: -20801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3155*x - 23 = -3157*x + 43, -x = 4*m + 147 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(3\/(-12)). Let f(r) be the second derivative of r - 1\/36*r**4 - 1\/18*r**3 + 0 + 0*r**p. Factor f(z).\nAnswer: -z*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -187 + 580. Suppose 3*a + 21 = 3*n, 0*a = 2*n + a + 1. Suppose n*z = 95 + s. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*r - 398 + 110 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19721, 38927, 57621, 75803?\n\"Answer: -256*b**2 + 19974*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 31 = 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 7*c + 20 = -2*m, 2*m - 2*c + 14 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 24564379?\nAnswer: -3\/24564379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 394058567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**2 - 4 + 2*u**2 + 3. Let b(i) = -3626*i + 1809*i + 1814*i. Calculate d(b(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by -6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 6 = -5*z + 1, 3*z = -6*o - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/(-52)*(0 + (-3)\/(-6)). Let k(d) = -2*d + 9. Let y be k(6). Which is the nearest to s? (a) 1\/2 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 9, x: 4, s: 1, z: 3}. What is prob of sequence fs?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-15)\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -701757 divided by -77973\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/959 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -250, -440, -682, -970, -1298, -1660?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 415?\nAnswer: 74.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160145 is divided by 1542?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52553 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1194583\/84488 + 834\/59. What is the common denominator of 33\/358 and j?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000262489 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*r**5 + 2*k*r**4 + 176*k*r**2 + 2*k + 638*r**4 - 2*r wrt r.\nAnswer: -60*k*r**2 + 48*k*r + 15312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 4\/5, 28, 0.5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (13 - 8) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/(6\/(-8)). Suppose i + 12 = u. What is the remainder when 40 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6945*z - 6913*z = 11808. Calculate the remainder when 1504 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = 2*s. Factor -18*i**s + 0 - 3 - 3*i**4 - i + 13*i + 12*i**3.\nAnswer: -3*(i - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -27, -58, -113, -198?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 136\/(-51)*3\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 7*m - 7. Let z be i(-6). Let o be (-15)\/(-5) - (z + 0). Suppose -o*f = -f. Solve 0 = -3*c - 2*c - 2*d + 15, -2*c - 3*d - 5 = f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1\/6 (c) -1\/4 (d) -44 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2270 or 2265?\nAnswer: 2270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 0, 11441, -3 in increasing order.\nAnswer: -3, 0, 3, 5, 11441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0148578 years to millennia.\nAnswer: 0.0000148578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1287113 is divided by 67?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2811 > -2813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.79 - -42. Let y = z + 3.79. Which is the nearest to 1? (a) y (b) 0.2 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -36?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 38, 4, -5, -6, 308 in increasing order.\nAnswer: -6, -5, 3, 4, 5, 38, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3323 divided by 6?\nAnswer: -3323\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817839?\nAnswer: 1817839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1305, -1326, -1385, -1488, -1641, -1850, -2121?\n\"Answer: -c**3 - 13*c**2 + 25*c - 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 1788, -2 in increasing order.\nAnswer: -35, -2, 1788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.17505mm in micrometers?\nAnswer: 68175.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - j = -100, 272 = 5*w - 3*j - 0*j. Is w\/3 - (-14)\/21 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -315 - -262. Let r = t - -59. What is the closest to 3 in 0.4, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d**2 + 11*d + 11. Suppose 130 = -6*x + 94. Let v = 161 + -139. Let m(o) = 4*o**2 + 3*o + 3. Give v*m(u) + x*w(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {b: 6, g: 8, j: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9951483 rounded to the nearest ten thousand?\nAnswer: 9950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20533, 41101, 61669, 82237, 102805?\nAnswer: 123373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 17*r**2 + 10*r - 26. Let z be u(18). Is (3\/6)\/(1\/z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16157 is divided by 432.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5202 or -353\/280?\nAnswer: -353\/280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/60 + 5*a**4\/24 + a**3\/2 + a**2. Let q be w(-3). Let j be (-40)\/(-12) + 1\/q. Solve j*m + 12 = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 9*m**2 + m - 6. Let f = 23 - 14. Is a(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 2*v + 69*v.\nAnswer: 57*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1011133310 - 1?\nAnswer: -1011133311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*b + 80 = -79*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -269 (b) 5 (c) -2\/31 (d) 2 (e) 2\/519 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 = 3*s, -2*f + 4*s = f - 20. Let g(l) = f*l**2 - 4*l**2 + 4*l**2 - l**2. Let p(b) be the second derivative of -b**3 + 6*b. What is p(g(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -6.4.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -13. Let l = -169.44 + 169.5. Which is the nearest to 0.2? (a) l (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d + 112. Calculate the remainder when 111 is divided by d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(((sqrt(500) + sqrt(500) + (-2*sqrt(500) - sqrt(500)) + 2)**2 - sqrt(500)) + sqrt(500)) - (-5 + (sqrt(500) - sqrt(500)*-1) + 4))*-3.\nAnswer: -3960*sqrt(5) + 45378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 56 = -4*g, 5233*y - 5229*y - 14 = -g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + 79 + 2 + (0 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341016676 divided by 6578?\nAnswer: 51842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 325\/3 or 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63*(-17)\/3366)\/(140\/(-80)))\/((-35)\/11).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5 - 1 = 0. Suppose -5*m + 6 = 4*o - 8, 3*m = q*o + 26. Let l be ((-4)\/m)\/((-2)\/15). Solve 0 = -l*b + b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, l: 2, q: 4, d: 1}. Give prob of sequence lld.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) 0.397 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/661152 and -11\/1542688?\nAnswer: 4628064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**4 + 432*z**3 + 12220*z**2 + 115200*z + 322000 = 0.\nAnswer: -70, -23, -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 10*j - 14. Let i = 4 - -1. Suppose -33 = i*y + 7. Let p be s(y). Solve 0 = p*u - 7 + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 3*t + 5*w, 32 + 144 = 5*t + 3*w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 - 0.58. Which is the smallest value? (a) l (b) 4\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209 + -5108710.\nAnswer: -5108501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -12. Let l(s) = 2*s - 5. Let u be l(x). Find the first derivative of u - i**2 + 4 - 1 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305 - -340.26. What is d rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -348158401*b*q - 115353299*b wrt q?\nAnswer: -348158401*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:55 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 19536. Let r(p) = 7*p. What is r(a(s))?\nAnswer: -28*s + 136752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 6241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 9*f**2 + 8*f + 19. Let p be s(-8). Suppose p*y + 2 = 21*y. Is (-7 + 758)*(y - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 + f**2. Let v = -16 - 8. Let r = v - -33. Suppose -5*m = r - 4. Calculate z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 4. Let f be (-25)\/10*-2 - -1. Let o(g) = 56 + g - 5*g - 61. Let i(z) = -z**3 + 9*z**2 - 7*z - 4. Let m be i(8). Calculate f*q(x) + m*o(x).\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-14) + (-42)\/98\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 8*r + 12. Let v be y(-9). What is the nearest to 0 in 0.4, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 2*k + 18, 4*z - 55*k - 25 = -50*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 10. Suppose 0 - 1 = -3*g - 4*n, -i = -4*g - n. Solve g - 2 = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3011 - -102?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 3*l - 7. Give t(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1617) + -1*sqrt(1617)*-2 - sqrt(1617))*1)\/(3*sqrt(11)*-1*1*2))**2.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 17*i - 167 = -19. Solve i*x + a = 4, -2*x = -8*a + 11*a + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from xxjxhxxxx.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7 = 3*y, 5242*i + 27 = 3*y + 5239*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 516, 517, 520, 525, 532, 541?\n\"Answer: y**2 - 2*y + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v, -3*h + 90 + 248 = 5*v. Suppose -120*x + h*x = 172. Is -209\/5 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:39 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1512 and -43\/4158.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.8, 839, 4.\nAnswer: -0.8, 1\/6, 4, 839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500)*-1 - sqrt(500))*1 + sqrt(500))**2 + 0)*-1 + (-1 + -4*-1*sqrt(500))**2*2.\nAnswer: -160*sqrt(5) + 15502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 385 = -2*g + 4*g, -5*c = 3*g - 565. Is 38 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395170309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/458 + -449\/1374. Which is the second biggest value? (a) -1\/2 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72309326.79 + -0.3.\nAnswer: -72309327.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -770 at most as big as -116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {b: 4, t: 2, j: 2, u: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/8)\/(84\/16 + -5). Let x = 9 + 0. Suppose -f + 2*g = -x, s*f - g = -3*g + 21. What is the nearest to -1 in f, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66808 divided by -16702.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = f, 5*f - 5*u + 15 = 2*f. Suppose -8*m + 6*m + 2 = f. Solve m = -k - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -203\nAnswer: -20\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5819\/(-4))\/(-11) - (0 + 1). Let f = j - 225\/2. Find the common denominator of f and 41\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 - 4 = 0. Let v(u) = 2*u**3 + 51*u**2 - 83*u - 50. Let i be v(-27). Put i, -1, j in descending order.\nAnswer: j, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 12:41 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 7*c + 7 = -5*c, 0 = -4*m + 5*c + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-260)\/1200*15?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*t - 47, -560*t + 15 = d - 556*t for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**(-6))*(j\/j**(-1\/71))\/j)**(4\/9) assuming j is positive.\nAnswer: j**(1424\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (192 - 1)\/(1 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2\/2 - 90381603*m\/2 + 135572391 = 0. Calculate m.\nAnswer: 3, 30127198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, z: 1, e: 2, a: 4}. Give prob of sequence atta.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 2 (c) 2\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f = 164*f + 1540 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.923829 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -104861112?\nAnswer: -104861098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.345? (a) -2.8 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -3*i**5\/5 - 15*i**4\/4 - 7*i**3 - 9*i**2\/2 - 51. Factor v(f).\nAnswer: -3*f*(f + 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11324 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 66.999999979. What is i rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**5 - 4*a**3 + a**2 + 4. Let l(c) = 2*c**5 - 5*c**3 + c**2 + 5. Let k(j) = 4*l(j) - 5*v(j). What is the third derivative of k(i) wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Let r(v) be the second derivative of -1\/45*v**6 + 0 - 1\/15*v**5 + 0*v**m + 1\/3*v**2 + 2*v + 2\/9*v**3. What is p in r(p) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and (1 + (-1)\/3)*(-3 + 21).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15764945?\nAnswer: 5, 7, 149, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-8)\/(-14))\/(192\/(-11424)))\/(-1). Let a(v) = -5*v + 157. Determine a(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 1. Let q(n) = 5*n - 12. Let u(a) = q(a) - 4*r(a). Give u(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**3\/3 - 7*o**2\/2 + 287*o - 41. Is s(0) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18464, 147639, 498244, 1180991, 2306592?\nAnswer: 3985759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7432208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1368 - -1401 - (129 + 1).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 55 = 2*h - 60, 2*h + 4*s - 2 = 0. Put 0, h, -6, -4 in ascending order.\nAnswer: -6, -4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10698345, 21396694, 32095043?\nAnswer: 42793392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -605, 2, 5, -5, 3 in increasing order.\nAnswer: -605, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037529439 rounded to 7 dps?\nAnswer: 0.0000375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 3*f - 691, m + 3*f = 2*m - 149. Suppose -n + m = n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431537597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/11 - 162058*l\/11 + 36522956\/11 = 0. Calculate l.\nAnswer: 226, 80803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 204550681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10460128 divided by -653758.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11960457 + -0.11961. What is u rounded to 7 dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 101. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064713.\nAnswer: 73, 55681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4 - 16*b**3 - 34*b**2 + 4*b + 48 = 0.\nAnswer: -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjbjjjbbjb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-1440)\/(-12))*-10*4\/10?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33048, -33047, -33044, -33039, -33032?\n\"Answer: h**2 - 2*h - 33047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:43 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -25. Suppose 4 = -g + b. Suppose -g*k = -9*k + 6. Solve 3*t = -3*j + 21, -t = j + k*t - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7320*h. Let n(c) = -10414*c**2 - 10416*c**2 + 20829*c**2. Calculate n(l(k)).\nAnswer: -53582400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.5, -5, -249, 4\/251 in increasing order.\nAnswer: -249, -5, 4\/251, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/((-214)\/((-28725648)\/1071)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**7\/525 + o**6\/12 - 59*o**5\/50 + 283*o**4\/60 - 26*o**3\/3 - 1519*o**2. Find i, given that f(i) = 0.\nAnswer: 1, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*b**4 + 152*b**3 - 1459*b - 3 wrt b.\nAnswer: -312*b**2 + 912*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-14))\/(6\/4). Let j be (9\/(-16)*2)\/(6\/(-8)). Which is the third smallest value? (a) r (b) j (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*t + 6, 5*t + 6 + 26 = 2*x. Let q be 7\/(378\/(-2597412)) + x\/27. Round q to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -45*y + 29*y + 294 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -0.5, -2\/5, -2, -22 in ascending order.\nAnswer: -22, -2, -0.5, -2\/5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + j = -4, 4*z - 3 - 11 = 2*j. Let r = -2 - 0. What is the units digit of (r\/(-4))\/(z\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*b - 33 = 0, -11*j + 14*j + 5*b = 49. What is the remainder when 34 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/5643 and 65\/54?\nAnswer: 11286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 216.101 - 216. Round j to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 18.83. Let q = y - 7.83. Let g = 7.9 + q. What is the nearest to 0 in 1, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 h when four letters picked without replacement from vvereehrehvehviv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-104)\/(-120) - 24\/30?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81\/14 + -38\/35. Calculate the common denominator of h and 45\/149.\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 17. What is o(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 + -0.02. Which is the second biggest value? (a) 0.01 (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8443 is divided by 187?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, j: 5, i: 2, v: 5}. What is prob of sequence ljiv?\nAnswer: 25\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714 = 153*y - 2597 - 1432 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 519*k - 570*k + 1632. Let d = 25 - -10. Let q = d - k. Solve q*w + 4*t - 22 = 13, -5*w + 35 = 2*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47b (base 12) to base 7\nAnswer: -1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - 54?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 24, 0 = 5*r - 3*d + 5 + 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 - 11*x**2 - 31)*(3*x**2 - 4*x**2 + 6*x**2) as d*x + n*x**2 + z + i*x**4 + j*x**3 and give i.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 66. Let -11*h**2 - 9*h**2 - k*h + 22*h**2 = 0. What is h?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 411*w + 3757. Let q be y(9). Put -67, q, 4 in descending order.\nAnswer: 4, q, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m = -20. Which is the second smallest value? (a) m (b) -7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 + 10\/15. Suppose n = -3*t - z, -2*n - 2*t = -n. Solve n = f + 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 10*v + 3. Let f(o) = 5*o**2 - 29*o - 10. Let x(j) = 8*a(j) + 3*f(j). Determine x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/12 + -3*12\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.381797806375 take away -3?\nAnswer: -1.381797806375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301192, 301076, 300960, 300844?\nAnswer: 300728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -74, 4, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1936 - 1931. Solve 5*p - 15 = b*q, -q + 2*p - 8 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 3) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6}. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to 5.6076554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 + 376*u**2 + 364*u - 744 = 0 for u.\nAnswer: -93, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -40. Let y(k) = -k**3 + 11*k**2 - 9*k - 14. Let f be y(10). Sort 5, i, f in increasing order.\nAnswer: f, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 4. What are the prime factors of 14 + 2\/d*0?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(189) - (1*sqrt(189) + sqrt(189)))\/sqrt(3))**2.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -82*z**3\/3 + 94. Let k(o) = -o**2. Calculate v(k(s)).\nAnswer: -82*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**5 + 5*y**5 - 5*y**5)*(-3 - 3 - 12 + (-5 + 6 + 1)*(1 + 4 - 4) - 4 - 1 + 4).\nAnswer: -51*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1169.8932 + -1170. Round r to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x + 9*x + 3*x + 8*x - 4*x - 9*x + (6*x - 2*x - 3*x)*(7 + 1 - 5) in the form r*x + w and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.36 (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*a + a + 43, 2116 = -415*m - 3*a + 7*a - 1216 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 170*w**2 + 2*w. Let r be (270 + 0)*((-102)\/(-30) - 3). Let n(l) = -56*l**2 - 51*l**2 + r*l**2. What is c(n(z))?\nAnswer: 170*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1452, -1525, 1090, 7737, 19760, 38503, 65310, 101525?\n\"Answer: 224*z**3 - 1641*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1838)\/(-12444)*1 + 12\/(-102) and -71\/6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -b - 225, -b = 3*b + 20. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 24 - 188 - 152 = 0. Solve 2*g + b = -1, j = 129*g - 125*g - 3*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, a: 2, b: 2, p: 4, g: 4, f: 5}. What is prob of sequence paag?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 + 89. Let u(g) = g**2 + 2. What is the least common multiple of u(b) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) + (-132)\/21 - 3. What are the prime factors of -2*o\/(-6)*417\/(-9)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.996761 millilitres?\nAnswer: 0.008996761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3275*v**6 - 1474*v**5 + 37213676*v**2 wrt v?\nAnswer: -393000*v**3 - 88440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112898 - 2934*t**3 - 1960*t**3 - 112898 + 861*t**3.\nAnswer: -4033*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.893 take away 2?\nAnswer: -2.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179\/310 + 11\/62. Which is the biggest value? (a) 0.2 (b) k (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1, 0.5 in ascending order.\nAnswer: -21, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 + 3*i - 24. Give h(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -20. Let u = d - -6. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*h = 1465*h - 52478 for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214 a factor of 1111693674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 4*m + 3*m)*(-4*m + 3*m + 0*m + (-12*m + 4*m - 2*m)*(4 + 2 - 8) - 21*m + 17*m - 10*m) as a*m**2 + y + t*m and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40529605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 242 = -4*o. Let q = 30 + o. Let i = -15 - q. Solve 4*s = -4*f, 3*f - i*f - s = 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 809*r. Let t(g) be the second derivative of g**4\/12 - g - 1757. Give n(t(l)).\nAnswer: 809*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130132, 130137, 130142, 130147?\nAnswer: 130152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.78 - 23.68. What is the closest to -0.3 in 3, x, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k = 135. Let l = k - 117. Let f = l - -104. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -0.2, 0.5, 2\/11 in decreasing order.\nAnswer: 0.5, 2\/11, -0.2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 + 3*c**2 - 3*c + 7. Let v(o) = 4*o**3 + 7*o**2 - 7*o + 15. Let q be (52\/10 - 4)*60\/24. Give q*v(l) - 7*f(l).\nAnswer: -2*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.092 - -0.008. What is the nearest to 0.1 in -5, z, 5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 19 = -v. Let c be ((-4)\/4)\/(3\/9). Put -2, 2, v, c in decreasing order.\nAnswer: 2, v, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7937958, 7937956, 7937954, 7937952, 7937950?\n\"Answer: -2*o + 7937960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:49 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325) + 2 + (sqrt(325)*-2 - sqrt(325)) + -2*(sqrt(325) - sqrt(325)*-2))**2.\nAnswer: -140*sqrt(13) + 15929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.62 in 9\/26, 13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + -5 + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h = 166254 + 27786. List the prime factors of h.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -77. Let x(s) = -19*s**2 + s + o + 12 - 2*s. Let w(b) = -b**2 + b + 1. Let r(k) = -2*w(k) - 2*x(k). Find the first derivative of r(l) wrt l.\nAnswer: 80*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = d - 4*n - 5, 2*d - 3*n = -3. Let f = 11 + -15. Let m be 2\/f + (-5)\/(-10). Solve m = -2*l + 1 - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 20*a - 23*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 a, and 1 t when four letters picked without replacement from dsadaadtda.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17 - 4.17. Let y = -39 + 42. Which is the closest to w? (a) y (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 90 = 2*q. Suppose -3*z = 3 - q. Suppose -3*o + 17 = z. Sort -5, 0, o in decreasing order.\nAnswer: o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.4 + -43. Let k = 4.6 + c. Let g = k + 23. What is the closest to -0.3 in g, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 60*k**2 - 2*k + 6. What is a(2)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -872*t**3 + 297*t**3 + 283*t**3 + 11*t - 8 + 293*t**3.\nAnswer: t**3 + 11*t - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-5)*-1)\/((-19)\/(7125\/30)*5).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = -11*f - 24*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 9*x**2 + 344*x - 3536. Let d be t(10). Sort 24, 1, -7, 5, d in ascending order.\nAnswer: -7, 1, d, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*h - 2*f, -2*h = 4*f - 2*f - 8. Suppose 5*a - 2 = -h, -4*r + 2*a + 11862 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from {m: 8, o: 3, r: 3, b: 2}.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182 - -242. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h + 14 - 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(363)*2)*4.\nAnswer: 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**6\/600 + 201*y**5\/100 + 30401*y**4\/40 + 90601*y**3\/30 + 563*y**2 - 1. Factor r(v).\nAnswer: (v + 1)*(v + 301)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2494*o - 32*o - 312*o)*(-1 + 1 + 2).\nAnswer: 4300*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4 + 2. Suppose 3*m + r = 5*m. Suppose 0 = -40*d + 85*d. Which is the nearest to m? (a) -6 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)*d*d*(d\/d**12*d)\/d assuming d is positive.\nAnswer: d**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - p**3 - 3*p**3)*(-1 + 0 + 0) + (5*p**2 - p**2 - 2*p**2)*(-7 + 7 + 4*p) + 10*p**3 + p**3 - 2*p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 11:39 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 11. What is the highest common divisor of 126 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 62*n + 703. What is the remainder when k(58) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4\/3 - 3*t + 3. Let z(n) be the first derivative of v(n). Let f(s) = 11*s**2 - 12*s**2 + 2*s**2. Calculate f(z(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2201213 (base 5) to base 10\nAnswer: -37683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*i = 311 + 585 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -979, -943, -893, -823, -727, -599?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -7\/24*s**4 - 5\/6*s**3 + 4*s**2 + 0*s - 1\/60*s**5 + 0. What is b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.68759859 rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9030\/2580*8\/(-1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - 18 - (-9760 - -9787)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 28 - 7 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1050 and -85\/4.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-279)\/15)\/((-5)\/75). Let r = 393 - y. Let q = r + -62. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*h + 27. Solve -8*g + 4*g + h = -2*m, 28 = 5*g - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4217 + -0.9217. What is the closest to -2 in 3, -1.3, w, 1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j + r = -9, -r - 7 = 3*j. Let d be (3 + -2)\/(j\/(-2)). Solve -d + 16 = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*h + 15, -a + 3*a - 2 = -4*h. Let v(p) = 3*p - 19. Let n be v(9). Suppose -2*w + 13 = -3*s - n, -w + s = -9. Sort -1, w, a.\nAnswer: -1, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/30 - 12\/(-20). Find i, given that 1\/3*i**2 + 0 - d*i**4 + 0*i + 1\/3*i**3 - 1\/3*i**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - 4*z)*(-275*z**2 + 275*z**2 - 17*z**3).\nAnswer: 17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3859 = 2*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 247136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 = 5. Let y = -22.953 + 22.753. Let q be 9\/8*2\/(-3). Put n, y, q in decreasing order.\nAnswer: n, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(18\/(-12)) - (0 + 3). Put -4, 55, o in ascending order.\nAnswer: o, -4, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 4:33 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 18*t + 5*t - 41*t + 37*t + 6*t. Let g(b) be the first derivative of 2*b**3\/3 - 1. What is g(f(m))?\nAnswer: 1250*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a factor of 388344159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 3*l + 146. Let s be (6\/(-8))\/((-63)\/168). Suppose -s*r + l = r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(3*n + n - 5*n)*(26 + 20 + 0).\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - 1 - 5*s**2 + 0*s**3 + 5*s**2 + 4*s**2 to the form p*s**3 + c*s + v*s**2 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -151203 + 4?\nAnswer: -151166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8252623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 2)*(-3*m - 4*m + 0*m).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 99101, 99236, 99371, 99506, 99641?\n\"Answer: 135*b + 98966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101019202 is divided by 2532.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 10*g + 9. Let c(k) = -k - 1. Suppose -12*o - 7 = 17. Calculate o*a(y) - 18*c(y).\nAnswer: -4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2031 - -0.0949. Round s to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Suppose -i*j - 3 = -9. Solve 0 = j*v + 4*f + 2 + 6, 4 = -2*v - 4*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.021 and 1.6?\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:17 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6579 + 6583. Let h(u) be the first derivative of 0*u**3 - 7\/6*u**6 + 0*u + 0*u**g + 13 + 0*u**5 + 8*u**2. Find the second derivative of h(x) wrt x.\nAnswer: -140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let c be (-92254)\/(-840) + g\/5. Let z = c + -827\/7. Find the common denominator of -117\/14 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28100741*c**3*o**3 + 6*c**3*o + 2*c**2*o + 14603*c*o**3 + 1376*c - 2*o**3 wrt c.\nAnswer: 168604446*o**3 + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1 + 1 + 5 - 4. Let g(l) = -2*l + 4. Let f(v) = -3*g(v) + 4*q(v). Let d(k) = 11*k**2. Determine d(f(z)).\nAnswer: 396*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -76. Suppose 20 = -6*u + 2. Which is the closest to -1? (a) u (b) -2\/13 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 - 314 = -8*k. Suppose 7*g = -k + 176. What is the remainder when (-29)\/(-3 - (-2)\/1) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -31. Let n = 17.18 + -0.18. Let w = y + n. Which is the biggest value? (a) -1 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 25*b - 110. Let h be c(6). What is the highest common divisor of 16 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.035+2\nAnswer: 14.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 13 - 4)*(-734463 + 734463 - 4204*s) to the form l*s + r and give l.\nAnswer: 58856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 4 - -3 - 7 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*x - 4914 = 434 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -28\/5 + 116\/5*z - 94\/5*z**3 + 41\/5*z**4 - 4\/5*z**5 + z**2 = 0?\nAnswer: -1, 1\/4, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 2 + (-31 - 4) - -49?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*h + 3908*h + 1098*h - 32713 + 392585 = 0 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 3*x - 20. Suppose x = 3*f - 5*t, -2*t + t = 4*f - 10. Let c(v) = -6 + 2 + 4 + 2*v + 1 - f*v**2. Determine c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(4 - 3 + 5)*(0*h - 2*h + 3*h).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 8*z**2 + 6*z - 3. Let b be n(-7). Solve -2*v + 2 = v + 5*j, b*v = -5*j + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-216)\/(-27))\/8*(-2)\/(-18).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -154*o + 1292. Let w be r(8). Solve -w*m = -55*m + 35 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2. Let g be (2\/5 - (-641966)\/585) + 2. Let o = g + -1100. What is the closest to -1 in 2\/15, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 39*d + 1. Suppose 0 = 2*f - 4*a + 4, -5*a = -2*f - 3*a + 2. Is v(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 32 = 2*o - 2*m, o + 2 = -2*m. Suppose 26 = k - o*j + j, 2*j + 11 = k. Is 1\/99 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -16*q + 254. Give j(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5804 times 1?\nAnswer: -0.5804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 7\/((-21)\/81900006). Round m to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1467 by 272.\nAnswer: -1467\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975078429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310851684 divided by -143.\nAnswer: 2173788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (2*((sqrt(80) - -1*sqrt(80)) + sqrt(80)) - (1 + 0 + sqrt(80))))*-5)**2.\nAnswer: -3000*sqrt(5) + 50225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-202 + 41 + 846)*(-6*s + 18*s + 4*s)*(-1 + 1 + 1) to the form b + w*s and give w.\nAnswer: 10960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 484650*b**5 - b**4 + 15*b**3 - 568283620*b**2 wrt b?\nAnswer: 29079000*b**2 - 24*b + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464*5.\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19*7\/(-266)*-1*3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 294*t + 2 - 1931*t - 72*t. Let f(o) = -3*o**2. Calculate f(i(k)).\nAnswer: -8762043*k**2 + 20508*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56347 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -59692*k - 299055. Calculate n(-5).\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/22 and 37\/(-22)*(-266)\/(-399).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 + (-4 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 513563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -3*j - 4*h, -17*h + 20 = 4*j - 22*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 339 - 328 = 2*h, -9 = -2*h + 3*s. Let m be (5 + -2)\/(3\/2). Suppose -h*y + 314 = 3*q - 223, -m*y = -6. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011 (base 2) in base 7?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177156976, 177156975, 177156974, 177156973, 177156972, 177156971?\nAnswer: 177156970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2 - 106*f - 223 wrt f.\nAnswer: 4*f - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000498262 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -68457*t + 547579. What is a(8)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(-2*sqrt(128) - sqrt(2)))**2 - 3*(0 + sqrt(1584))**2.\nAnswer: -1373317\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -111, -4, -1, 7, 6 in ascending order.\nAnswer: -111, -4, -1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/313, -2, 158\/37?\nAnswer: -2\/313","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80218919 to the nearest integer?\nAnswer: 8957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 436718 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3281, 6564, 9847?\n\"Answer: 3283*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 409741121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15175722.\nAnswer: 2, 3, 23, 277, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 7*k + 8. Suppose -2 = g + 4*d, 3*g + 3 = 4*d + 29. What is r(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5609 = 8*x - 5857. What is the highest common factor of 93 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 2*n + n + 0*n. Let y(p) be the second derivative of 4*p**3\/3 - 3*p. What is y(u(o))?\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 524 and 592.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.1 - -11. Which is the closest to v? (a) 1\/4 (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, v: 3, o: 1, z: 2, u: 4}. Give prob of sequence ovnv.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2 + 2 + 2. Let r be -2*(1 - q)\/2. Solve 4*x = -r - 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5849441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1954 + -1934. Let n = 0.7 - -0.3. Is c bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 0*a**2 - 4*a**2 + 2092*a**3.\nAnswer: 2092*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71982 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1665 + -1663. Let s be -1 + 13 - 1 - 3. Solve 4*m = -5*y + s*m + b, 5*m = -4*y + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9062, -20382, -31702?\nAnswer: -43022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.3, 15.81, -2\/37, -6\/5?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58133?\nAnswer: 61, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7068532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*l + 141, 5*l + 3*x - 164 = 111. Let w = -13 + l. Suppose h + 2*v - w = 0, 4*v + 178 + 89 = 5*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 55. Let x be u(-19). Is (x + 1)*(-21)\/(-7) + 2461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 18 = 11*b. Let y be 43 + (b\/(-3) - 0). What is the common denominator of (-51)\/(-225)*y\/(-16) and 115\/14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 773233 and 434?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 10*o**2 + 4. Let d be a(10). Suppose -q = -2*j - 280, 0*q - d*j - 282 = -q. Let g = q - 41. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**3*g*y + 12208*b**3*g + 2*b**3*y + 13*b**3 - 2*b**2 - 24*b*g*y + 2*g - 1678*y wrt b?\nAnswer: -24*g*y + 73248*g + 12*y + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n - 2*n**2 - 22*n - 15*n - 180 - 109 + n**2.\nAnswer: -(n + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/((-1)\/2*4). Let z be (l\/(-40))\/(1\/(-2)). Suppose 1\/4 - 1\/2*b + z*b**2 = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1007.9 * -6.2\nAnswer: -6248.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 5*n. Let a be u(-5). Suppose -3*v + 13 - 4 = a. Calculate the remainder when 3 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.042943943 or 35?\nAnswer: -0.042943943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11*m. Let l(k) = 0*k + 6*k - k - 8*k. Determine l(g(y)).\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2 + 5 = 4*t, 15 = -5*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h. Let z(s) = -389636*s. What is z(d(m))?\nAnswer: -1558544*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/8 + 15449*g**4\/4 - 118569*g**3\/4 - 99129*g**2 + 6256559*g\/8 + 1082235\/4 = 0. Calculate g.\nAnswer: -10307, -5, -1\/3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 4. Let h(u) = u - 4. Let l be h(-2). Determine d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -655, 0, -1.\nAnswer: -655, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 9*l**2\/2 - 187*l\/2 - 21 = 0.\nAnswer: -2\/9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 5:23 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*v = -3*v - 16, -3*v = -3*g + 18. Suppose -5*h + 5*k = -105, -3*k = -g*h + 31 + 84. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5444 = 2*p - 6*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 26. Let h be 8\/(-12) - (-676)\/6. Calculate the highest common factor of h and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + -1 + (0 - -5). Let q(p) = -4*p. Calculate q(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 24)*(-1 + 9*a - 4*a + 14*a).\nAnswer: -532*a + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.260857ml in litres?\nAnswer: 0.003260857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + -149. Let u = 215 + v. Let a(i) = -10*i - 2. What is the lowest common multiple of u and a(-2)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -378a2 (base 11) in base 12?\nAnswer: -27528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -22*f - 17. Suppose -4*i - u - 18 + 61 = 0, 0 = i - 2*u - 4. Let v be j(i). Let h = 820 + v. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18, 5\/3, -4, 141, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 102*y - 100*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 5*c + 1. Let h be m(-5). Let g = 1 - h. Let o be (-5 - g)*-1 + -1. Solve o*n + 23 = -0*j + 3*j, -5*j + 27 = -n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let v = 4 + d. Find the third derivative of -3*t**v + t**2 + 3*t**2 + t**3 wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 9. Let j be d(0). Suppose -3 = -m + 14. Let r = m - j. What is the highest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504627613812 plus -0.37?\nAnswer: 504627613811.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = o + 11. Suppose 28*t = -44*t - 144. What is the units digit of t\/20 - (-322)\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - w + 4*w + 0*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 4*b - 4*b)*(-5*b**2 + 2*b**2 + b**2) + 7*b**3 + 0*b**3 + 4*b**3.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1))**5\/(s\/(s\/s**1)*s*s**(3\/8)*s)*(s\/(s\/(s**1\/s)))**(15\/4)*(s**(-4)*s)\/((s*s**0*s)\/s) assuming s is positive.\nAnswer: s**(-59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -250*t - 7. What is l(-2)?\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32568 - 1107407\/34. Find the common denominator of -33\/2 and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 19123.\nAnswer: 42\/19123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3975 or -4054?\nAnswer: -3975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-314)\/149150*1235*(2\/6 - (-91)\/(-3)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8. Suppose q + 40 = m*q. Suppose -q = 5*b + 5. Which is bigger: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, 8, -32.131, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 4619*o - 141896. Calculate l(31).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3789, 8, -5269?\nAnswer: -5269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a day?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 181*z - 178*z - 33, -38 = -2*z + 4*u for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 24866940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3286247.2281 to the nearest ten thousand.\nAnswer: 3290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (198\/12 + -6)*10. What is the highest common factor of 945 and r?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 25*x - 97. Let m be v(-20). Find the second derivative of 4*q - 8*q + 2 + 71 + 3*q + 187*q**m + 4*q wrt q.\nAnswer: 1122*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*o**3\/4 - 93645*o**2\/4 - 2174025*o\/4 - 12660375\/4.\nAnswer: -3*(o + 3445)*(3*o + 35)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(23*k**2 + 13*k**2 - 10*k**2)*(1 - k**2 - 1) in the form b*k**3 + a*k + c + z*k**2 + i*k**4 and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**3 - 15*s**3 + 0*s**3 + (0*s + 3*s - 4*s)*(6*s**2 - s**2 - s**2).\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1866 = t + 3*h + 1892, -2*h - 10 = 8*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.0596154 to the nearest integer.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15459 is divided by 645.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24289872881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 333410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-35) - (-354)\/(-10). Let n = i + 34. Is -4*510\/(-4) - n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/11 and 79\/510?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 4146700 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 199*y + 458628. What is c(-585)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**(-4)*d)\/d)\/d*d*d*d)\/d*((d**(1\/12)*d)\/d)\/d)\/(d**2\/(d**(-4)\/d))*(d**(-12)*d*d*d\/(d**9*d*d))**12 assuming d is positive.\nAnswer: d**(-2999\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 6146, -120, -3 in ascending order.\nAnswer: -120, -3, 3, 5, 6146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185 and 13?\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/(3\/(-6))*13*291\/5044?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h + 3. Let d(t) = 6*t - 68. Let w be d(12). Suppose -4*g - 4*m - 42 = -14, 0 = -3*g + w*m. Let s(j) = 14*j + 9. What is g*s(z) + 11*q(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 33 - 7)*(-39*i**2 - 857 + 857) + 0*i**2 - 2*i**2 + 2 - 5 to the form r*i + f + x*i**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/(-12)*(-1)\/2. Suppose 300 + 15 = o*t. Let y = 111 - t. Solve 5 = y*p - p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 59. What is the remainder when 55 is divided by (24\/(-9))\/(v\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884*t = 881*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100661210 rounded to the nearest 100000?\nAnswer: -2100700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -351 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -87*w**8\/56 + 77*w**4\/6 + 156*w. What is the third derivative of c(u) wrt u?\nAnswer: -10440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(200))*3 + -5 - 6*(-6*sqrt(200)*-4 + sqrt(200)))**2 + 2.\nAnswer: 41160*sqrt(2) + 4321998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 1\/210*m**5 + 0*m + 0*m**3 - 1\/84*m**4 - 9*m**2 + 0. Factor p(s).\nAnswer: 2*s*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -535 + 3*i + 535. Let u(k) = -5*k**2. Determine p(u(y)).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53\/4 of a milligram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 7, b: 1}. Give prob of picking 3 q and 1 b.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73584045706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613417021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 3*d. Let l be j(6). Let u = l - -18. Suppose 0 = -2*m + 1 + 3. Solve -m*s + u*s = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**4\/4 - 7*f**3\/3 + f**2\/2 + 4*f - 19. Suppose 917*z - 7 = 918*z. Give a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -990398 greater than or equal to -990401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4416195?\nAnswer: 3, 5, 7, 137, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) - (3 + -4). Let x = -4 + 6. Find q such that -y*q**x + 1\/5*q + 0 + 3\/5*q**3 - 1\/5*q**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295662134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 4:01 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 16 = -s + 2*s, 2*s + 12 = 4*d. Calculate the remainder when d is divided by 51 + -43 - (6\/2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -10 - (-640 - -638)) + 46.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -15 - (40 + -23) - (41 - 0).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**5\/20 + x**4\/6 - x**3\/6 - 3*x**2 - 229*x. Calculate r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/7)\/(67\/((-72695)\/248)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*a**3 + 113 wrt a?\nAnswer: -177*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hwwhhhhh.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) + 238\/(-18). Let m = h + 5. Let y(q) = -q**2 - 10*q - 2. What are the prime factors of y(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180835*a + 119*a**3 + 179513*a - 360348*a.\nAnswer: 119*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 2*z - 5*t + 153, -1 = 5*z - t. Which is the fourth smallest value? (a) z (b) 1 (c) -0.34 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -262.3 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 857 * 0.701\nAnswer: 600.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 40475492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.449, -2, 3, 74, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/10 and (-33)\/(2970\/84) - -2*2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 33 + -106 + 21 + -12.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44378 is divided by 888.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 94*z = -420448. Is z a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270384 is divided by 156?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 + r - 4. Let q be o(3). Suppose -7 = 5*y + 13. Let u be q\/y - 33\/36. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q. Let b(u) = u - 1. Let c(v) = 2*b(v) + y(v). Let h(w) = -4*w - 1. Determine -3*c(l) + 4*h(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = -2*n - 6*p, -2*n + 3 = p. Suppose -10*d = -n*d - 12. Suppose 6*y - 23 = -t + 2*y, 5*t - 25 = -d*y. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 36. Sort d, 1\/2, -2.\nAnswer: -2, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -132587, -132588, -132589, -132590?\n\"Answer: -r - 132586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*u + 76*u - 169*u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z\/((z**(-1)*z)\/z))\/z)**(5\/11)\/((z*z*z**(-3\/5)*z)\/(z*z**0*z)) assuming z is positive.\nAnswer: z**(53\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 9 + 0 + 7 - 6*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 50 = -2*k + 3*k, 3*x + 4*k - 30 = 0. Suppose -2*b + 2 = x. Suppose 3*i - 5 = -2*i. Put b, i, 6 in decreasing order.\nAnswer: 6, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84, -197, -308, -375, -356, -209, 108?\n\"Answer: 7*h**3 - 41*h**2 - 39*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002135780279 to seven decimal places.\nAnswer: 0.0002136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r + 5*y = 36, -r + 2*y = -15. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 328\/16)*(0 - -6). Let a = m - -119. Solve -i + 2*y - 2 = 0, -a*i = 3*i + 4*y + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22175 and 375?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 35, -23 in descending order.\nAnswer: 35, -0.6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -105, -163, -223, -285?\n\"Answer: -q**2 - 53*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-9 - (-25 - -11))*(-12)\/10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 8:15 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = 101. Let y = -45 + x. Suppose -f = 3*f - 56. What is the highest common divisor of f and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2, 5, -1.803, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - 0.1. Let g = 1.3 + s. Let p = -0.72 + g. What is p rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68744499019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 31570 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25399 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 2:41 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -270*m. Let y(a) = -5*a. Determine y(c(i)).\nAnswer: 1350*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + 6 + -7 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, j: 7, i: 1}. What is prob of picking 1 o, 2 j, and 1 i?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -3\/4 (b) -154 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 8*w**2 - 9*w - 10. What is s(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 69371500.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 54049156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 + -1 + (2 - 28 - 3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - 0.41. Let n be 5 + -1 + 1 + 115. Let m be 88\/n - (1\/(-3) + 1). Sort m, 5, c.\nAnswer: c, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -5\/9, 35, 0.5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12972032 divided by 64?\nAnswer: -202688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28174281584 from 0.421.\nAnswer: 28174281584.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -102120 (base 3) to base 8\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142 + -77. Put o, -1, 0.2 in descending order.\nAnswer: o, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**4\/4 + 2*u**3 + u**2\/2 - 13*u + 3. Let x be p(6). Does -39\/5 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 1:18 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2. Let u(s) = 11*s. Let h be u(7). Suppose 2*j - 105 + 32 = -v, -3*v + 229 = j. Let y(q) = -v - 4*q**2 + h. Determine y(t(o)).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 39 = -0*v. Let w be 4000\/112 - (-1 - 2). Let o = v + w. Which is the smallest value? (a) -0.3 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386172 is divided by 128638?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (72 - (9 + 59))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1949, 4, -17, -5, 3.\nAnswer: -17, -5, 3, 4, 5, 1949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from babbkabr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -24. Let l(b) = 3*b**2 + 95*b + 156. Let f be l(-30). Solve r*v - 3*v = -f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 - 32*m**4 - 100*m**3 - 40*m**2 + 102*m + 72 = 0.\nAnswer: -12, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27344 times -0.9?\nAnswer: -24609.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7103 + 14878. What is the greatest common divisor of x and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -34. Let x be (6\/4)\/(6\/l). Suppose x + 16 = 4*u. Solve 3*q - 8 = g, q - 4 = -4*g + u*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b = -5*d - 61*b + 1126, -7*d - 60 = -12*d - b - 4*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12104 and 799.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16625, -33314, -50003, -66692, -83381?\nAnswer: -100070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z + 3*z + 4*z)*(-1 + z + 1) - 6*z**2 + 4*z**2 + 0*z**2)*(-5*z - z - 2*z).\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l + 5*l + g, -2*l = -5*g + 23. Is l\/((-6 + 0)\/(-23658)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*m + 892 = 0, 3*m - 891 = -4*y - 0*m. Solve i + 226 = y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2702722 and 245702.\nAnswer: 2702722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (322 + -313).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 53*u + 524. Calculate d(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 5\/2, -28\/5 in decreasing order.\nAnswer: 5\/2, -28\/5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + p - 300 = 0, -3*s + 83 = -5*p - 97. Suppose -s = 3*j - 7*j. Let b = 12 + -7. Solve j - b = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + b = -167, -4*b = 2*z - 2*b + 88. Let h = 65 + z. Suppose -h = -4*l + 3*g, -7 = 3*l - 2*g - 25. Solve l*f = f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 868621, 868623, 868625, 868627, 868629?\n\"Answer: 2*y + 868619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 + w + 1. Let o(v) = -44*v + 45*v + 4 - 3. Let y be o(0). Let k be q(y). Solve -4*l + 19 = -k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2366 + 5?\nAnswer: -2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1096050 and 32070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(891) + sqrt(891)*-2)**2.\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o. Let s(j) = 2*j - 810. Calculate s(a(x)).\nAnswer: 8*x - 810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028058 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31, 3.2, 1\/6, -6782?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515421\/517 - ((-24)\/(-11) + -2).\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 4, -8, 5.\nAnswer: -8, 4, 5, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + 67\/2. Suppose 3 = 4*t - m. Let s be 21\/14*2\/t. Which is the closest to 0? (a) s (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o - 1. Let c be h(1). Suppose c*b + 9 = 4*b. Which is smaller: b or 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:31 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 40 + 27 = o, 3*o + 4*w - 253 = 0. Let a = o - -35. Does 8 divide 2\/10 - a\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 6 + 2 + 91 + -87.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016311 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*y - 0, 5*y = 4*i - 58. Suppose 102*q - 99*q = i. Let z be (40\/6)\/((-2)\/(-6)). Solve z = q*j - 0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 85*c**2 + 16*c + 11. Let o = -3 - -11. Let q be u(o). Suppose 5*r - 12*r = -q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729970921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 10.7, 2\/5, -412?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*g - 13, 4 = 4*d + 4*g. Suppose x - d*x = 0. Suppose 4*i - 20 = -x. Calculate the highest common divisor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 + 39 - 146) + 0\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -661254.78999942 + 661260.49. Let r = 95 + -100.7. Let v = r + s. What is v rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/6*(-6)\/9. Solve 4*l + b = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/5 - 2559821\/(-55) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20993 is divided by 189.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 17.05?\nAnswer: 16.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.28482 months?\nAnswer: 0.000273735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v - 38. What is x(-5)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 2*g**2)*(-2 + 2*g + 2) + (-1 + 2*g + 1)*(87*g**2 - 422*g**2 - 45*g**2).\nAnswer: -764*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**4\/3 - 100*g**3\/3 + 1250*g**2 + 50*g. Factor r(h).\nAnswer: 4*(h - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/20 - 5*s**4\/3 + 271*s**3\/6 + 145*s**2 + 1641*s. Factor y(o).\nAnswer: -(o - 10)*(o + 1)*(o + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 2140320 = -536931. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 2*m - 2*m)*(20*m + 22*m - 31*m) + (2*m + 3*m - 3*m)*(140*m + m**2 - 140*m)*(2*m - 2 + 2).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2)\/(7\/((-42)\/(-78)))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-20))\/(62\/(-155)). Let q = -315 + 314.7. Let s = -3 + 2. What is the closest to s in -8\/13, l, q?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 p, and 1 o when four letters picked without replacement from qppczrqcorcz?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k + 4 = 41 - 401 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 56, 131, 278, 521, 884?\n\"Answer: 4*f**3 - f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h + 2*p = 14, 0 = 5*h - 2*p - 22. What is the smallest value in h, -2\/11, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llrr when four letters picked without replacement from rtlrt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 13. Suppose l + 2 = -4*h + 3, h = -5*l + x. Determine z so that -2\/7*z**5 - 2\/7*z**2 + 0 + 2\/7*z**4 + 2\/7*z**3 + h*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9.2. Let j = -0.1 + t. Are 0.2 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l)\/l**(-5)*l**(-5)\/(l*l\/(l*l**(-2\/25)*l)*l))\/(l\/((l\/(l**5\/l)*l)\/l)*l**5*l**3\/(l**(-2\/11)*l)) assuming l is positive.\nAnswer: l**(-2822\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 * 1.4\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02512 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1148 - -1147.8. What is the nearest to -0.1 in 0.5, c, -12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-14 - -11) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-21\/4)\/w*w)*w)\/(w*w**(2\/5))*w\/w**(-39)*w*w**(-24\/7))**(10\/17) assuming w is positive.\nAnswer: w**(5939\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25)\/10 + (-210)\/(-28). Solve z = -9 + o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2 - 4 = -4*a, 4*a - 27 = 3*r. Find the second derivative of 3*c**3 + 55*c + 5*c**a - 50*c wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + 435?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -251\/5 + 517\/10. Put 11, 24, d in descending order.\nAnswer: 24, 11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336)\/72 - -4*(-2 - -3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 42532\/5 + 8*w**3 + 2016\/5*w**2 + 16856\/5*w - 4\/5*w**4 = 0.\nAnswer: -7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05788? (a) 3\/8 (b) 0 (c) -4 (d) 3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220 + 1982\/9. Which is the biggest value? (a) -1\/5 (b) 2 (c) 0.4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 i when four letters picked without replacement from ipppipppip.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -1862*i**3\/3 + 396*i**2 + 2816*i + 2. Differentiate x(d) with respect to d.\nAnswer: -3724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7714769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -40. Let t(x) = 31*x**2 + 2*x - 5. Is t(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -7 - -6604)*-1. Is g\/(-8)*48\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 23 = -3*z + l, z + l = 0. Let s = 2 + 2. Suppose -z*a = -0 - s. Is 2\/5 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 308 - 1122. Find the common denominator of -3\/5 and y\/(-12) + (-26)\/39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42704273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 4*g**4 - 4 + (3*g**3 - 2*g**3 - 2*g**3)*(-3 + 3 + g) - 6 + 6 - g**4 - 2*g**2 - 5*g**4 + 2*g**2.\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -3)\/(8\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2624 = 90*p - 1994 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23380 - 8841. List the prime factors of k.\nAnswer: 7, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 7*h - 9. Let w be f(5). Do w and -5\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68549779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(28\/8) + -12. Let t be (-2588)\/(-18) + g\/(-63). Round t to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 9, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 + -1.4. Which is the closest to 1\/2? (a) -1 (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -2*p**3\/21 + 9*p**2\/7 - 4*p - 133. Factor v(s).\nAnswer: -2*(s - 7)*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c615 (base 14) to base 10.\nAnswer: -687195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-8)*1*4. Let b = k - 5. Suppose 5*z + 0*q - 4*q = -10, 20 = 4*q. Sort 0, z, b.\nAnswer: b, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/3 - 164*i**2\/3 - 1110*i - 1056 = 0. Calculate i.\nAnswer: -48, -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 + 5 + -1. Let g be ((-4)\/(-6))\/((-4)\/(-6)). Suppose 0 = -f + g - 6. Which is the biggest value? (a) -0.4 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u. Let r(i) = -1897*i - 42. Let m(s) = 223*s + 5. Let n(b) = -42*m(b) - 5*r(b). Determine 49*a(w) + 2*n(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -11, -39, -91, -173, -291?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6513, 7176, 8989, 12528, 18369?\n\"Answer: 96*j**3 - j**2 - 6*j + 6424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1159*f - 19918. What is c(-17)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 8 + 0*s + 0*s**3 + 1\/10*s**4 - 1\/5*s**2. Find u, given that y(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*d*k*p**3 - 29*d*k*p**2 + 2018*d*p + 85583*k*p**3 - 2*k - 16*p**3 wrt d.\nAnswer: -9*k*p**3 - 29*k*p**2 + 2018*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + l**2 + 4*l**2 - 4*l**2 - 4 + 63.\nAnswer: -l**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6836)\/(-16) + 63\/84. Which is greater: o or 12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3600) + (sqrt(3600) - sqrt(3600)*2)*-3 + sqrt(3600))\/((sqrt(25)\/sqrt(500) + sqrt(5))*-1) + -5)**2.\nAnswer: 6000*sqrt(5)\/11 + 1803025\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251469?\nAnswer: 3, 27941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 17.3. What is the smallest value in c, 0.07, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 309 + 5 = 0. Suppose 5*c - 98 = -2*i, -2*c - i + k = 2*c. Let n = -8 + c. What is the lowest common multiple of 14 and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -29835 divided by -1105\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 6 - ((-10 - 13) + 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 18*t**2 - 6*t + 6. Let l be g(2). Suppose -l = -o + 51. Does 37 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*l)*(-2*l + 0*l + 3*l) + 1351922*l - 1351922*l + 17*l**2 - 1 + 53*l**2 - 1 to y + a*l + x*l**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 + 26*d**3 - 3850*d**2 + 53214*d - 49392 = 0?\nAnswer: -56, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 39*c + 83. Give i(-19).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -910?\nAnswer: -910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -43100.78595 rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrtywtt. What is prob of picking 1 y and 2 t?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 72307\/10 (b) 3 (c) -2\/13 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 541.6069 to 1 decimal place.\nAnswer: 541.6","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 9*p**2 + 9*p - 47. Let u be l(-11). Let g = 133 - u. Calculate the remainder when g is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-2)\/((sqrt(121) - (sqrt(121) - (sqrt(121) + (sqrt(121)*2 - sqrt(121)))))\/sqrt(11)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.85957 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000102881567 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -285 and -4.\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279531 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/5 + (-12)\/30. Suppose -2*k + 2227 = 3*k - a*r, k - r = 446. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1*6 - -2. Let u = 12 - q. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207197843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 20*a - 4. Suppose 3*b - a - 5 = 0. Solve -b*m + 10 - 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1431767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 22\/26 - (-1422)\/117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*j + 3567, 4*j + 1438 = -8*g + 10*g. What is the highest common divisor of 55 and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 13, 19?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z**3\/7 - 2275540*z**2\/7 - 9735832*z\/7 + 8218340\/7 = 0.\nAnswer: -5, 13\/18, 31609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:21 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:39 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1223 - -1?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + (sqrt(19) - sqrt(1539)) - sqrt(114)\/(sqrt(6) + sqrt(54)))*2*-3.\nAnswer: 18 + 99*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*220\/154*(-29)\/116*8\/75?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n - n**2 - 2 + 0*n**3 - 1\/6*n**4. Let z(d) be the first derivative of t(d). Differentiate z(x) wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5625.1 times 30.41\nAnswer: -171059.291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 46. What is the closest to 1\/2 in -2, a, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 26. Let l be p(7). Let x(q) = -2*q + 3. Give x(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = -0, -5*v = 3*g - 217. Let m(c) = c**3 + 16*c**2 - 22*c + 25. Let h be m(-17). What is the greatest common factor of v and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0009047t?\nAnswer: 904700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*s - 114 = 0, -s = -4*d - 3*s + 496. Suppose 0 = 5*j + p - 23, -5*j + 5*p = 2*p - 31. Suppose j*n = 3*w - 2*w - d, 462 = 4*w + n. Does 21 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from bbcavcagccaaqb.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611312, -611202, -611082, -610952?\nAnswer: -610812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 2*y**2 + y - 7. Let x be k(-6). Suppose -2*t + f + 4*f = -x, 0 = 5*f + 25. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/16? (a) -9 (b) -0.2 (c) 75 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uhhhhhuuhhhh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.4, -1\/53, -4, -1\/8, -92\/95?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) + 0)*-3 + -1 + (sqrt(171) - sqrt(19)) + sqrt(76)\/(-2*sqrt(144)))*-3*5)**2.\nAnswer: 975*sqrt(19)\/2 + 83875\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5, -168, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-14)*((-51490)\/760 - -66).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -q - q + 5*y, -5*q + 12 = 3*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o - 20. Let c(z) = o + z - 3*z + z. Let b be c(6). Solve 0 = -5*u - b*a - 12, 0 = 5*u - u - 2*a + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206883540 to the nearest integer?\nAnswer: 14383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) -2 (c) 76\/7 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 136. Let h be (-16)\/v - (-9)\/4. Suppose h*z + 1 + 3 = 0. Sort -1, 5, z, 0 in ascending order.\nAnswer: z, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*i + 301 - 301)*(1 - 3 + 3 - 1 + 1 + 2 + (1 + 1 - 1)*(-1 - 5 + 1)) to the form n*i + j and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 9*u - 5. Let t = -14 + 22. Let s be x(t). Suppose -s*q + 44 - 2 = 0. Calculate the lowest common multiple of 6 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 56 = -5*v - 47, -6*v = 3*g - 18. Let h = 2.7 + 0.3. Which is the third smallest value? (a) -4 (b) 4 (c) v (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 6)*(-32*s**2 + 9*s**2 - 20*s**2) in the form g*s**2 + y*s + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 12 + 4. Let c(d) = d**2 - 10*d + 14. Let o be c(t). Let l(k) = -2*k**3 - 2*k**2 - 3*k - 3. Is l(o) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -577.5732 - 0.3068. Let p = r - -546.897. Let f = p + 31. What is f rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/8 + (294316\/(-45240) - -7) and 23\/18.\nAnswer: 33930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f**3 - 13*f**2 + 2. Let o(a) = a**3 + a**2 - 1. Let j(s) = 2*o(s) + w(s). Find the third derivative of j(q) wrt q.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -295848.\nAnswer: -1\/147924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3888085063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j + 6. Let k(y) = -3415*y**2 + 6826*y**2 - 3405*y**2. Determine t(k(d)).\nAnswer: -60*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -768 + 148. Let y = 625 + s. What is the fourth smallest value in 1\/3, -3, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-30))\/(126\/70)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 4. Let n be l(5). Let h = -0.036 - -0.236. Let z = h - 0.15. Which is smaller: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -158cc4 + -c?\nAnswer: -158cd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*s + 20 = 116*s, a + s + 7 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1757670 by 410.\nAnswer: -4287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -20029 greater than -20030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.5, -159080, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150870\/(-17120)*20\/(-15).\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 12. What is the closest to 2\/7 in k, 0.09, 4\/7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + 23 + -30 + -23.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/15 (b) -1 (c) 5\/146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 2a?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6 = -2*c, -h - 2*h + 2*c + 4 = 0. Suppose -5*u - 10 = -6*u. Let q = h + u. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5\/2)*p*p\/(p*p**(-6))*((p**3*p)\/p)**(-5))**(-47) assuming p is positive.\nAnswer: p**(893\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*s - p, -34 = 5*s + 20709*p - 20712*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.2 - -0.2. Let o = -9.99999955 - h. What is o rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34855*p**4 + 19100 wrt p?\nAnswer: 139420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 361988 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v = -3*k - k - 52*v + 119*v + 57, -10*k = 3*v - 69 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -512 - -453?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and (-9)\/24 + 3\/(24\/6803).\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*i**(3\/7))\/(i**(-2\/9))**0 assuming i is positive.\nAnswer: i**(-67\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.054444 grams to micrograms.\nAnswer: 4054444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**2 - 13*v - 8. What is the units digit of l(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41961, 84010, 126059?\n\"Answer: 42049*o - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 + -119. Let l be (-2 + -1)\/(q - 11) - 1. Solve 2*t + 2*o = -11 - 7, l = -4*t - o - 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017281 rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*j = 6836, -j - 5485 = -4*t + 2*j. Let v = -300011\/230 - 2751\/46. Let m = t + v. Is -1 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3*m - 16. What is the hundreds digit of c(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135805 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 6*b**4)*(3 + 1 - 1)*(-2 + 3 + 1).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*i = -141, -m + 49 = -6*i + 2*i. Let b = -25 + m. Suppose -5*y + 132 = 32. What is the highest common factor of y and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b + 2. Let i(x) = -7*x - 3. Let z(q) = 4*h(q) + 5*i(q). Give z(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/28)\/((10\/12)\/(-5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -164, -195, -260, -371, -540, -779?\nAnswer: -1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1058 - 1068.23. What is p rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-19))\/((-84)\/798)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1010100000 (base 2) to base 5\nAnswer: -10142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*(z*z**(2\/15))\/z*z**9*z*z**(1\/9)\/z)\/((z**4\/z*z*z**6)\/((z\/(z*z*z**(1\/10)*z*z))\/(z*z**(-2\/3)))) assuming z is positive.\nAnswer: z**(-287\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20304 - -365623\/18. Let j = -15\/386 - 20561\/2316. Find the common denominator of a and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j - 6 - 5*j - 9*j)*(-3 + 3 - 13*j).\nAnswer: 65*j**2 + 78*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 - 5*d - 5. Let x be m(5). Let o = 1 + 2. Which is the closest to 0? (a) x (b) 3\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -j - 3*j - g, -2*g + 9 = 3*j. Suppose -4*o = -2*y - 2*o, 0 = -y - j*o. Solve 0 = 5*r - y*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -44*b**2 + 838*b - 26. What is o(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-10)*8\/12*3. Sort p, -7, 1 in ascending order.\nAnswer: -7, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337111316?\nAnswer: 2, 1063, 79283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*s = 3*s - 414, -2*a + 192 = 2*s. Calculate the remainder when 114 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30021*a**3 + 265*a - 95 wrt a?\nAnswer: 180126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15037 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 3*j - 2. Let f = -117 + 119. Suppose -5*m = -3*b, -3 = -f*b - 4*m - 25. Determine c(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(171)*3)\/(sqrt(9) + 3*sqrt(9)*2))**2.\nAnswer: 1539\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -17*p - 55*p + 73*p - 5, i = -5*p - 11 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*d**2*i**3 - 43*d**2*i + 60*d**2 - 25476*d*i**3 - 23*d*i**2 wrt d?\nAnswer: -132*i**3 - 86*i + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 1. Let j(c) = 4*c + 36. Let w(t) = -3*t - 31. Let o(x) = -6*j(x) - 7*w(x). What is 11*b(g) + 6*o(g)?\nAnswer: 4*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*q + 530617 - 532831 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*a + 71*a - 24 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 8*r - 64 = 0. Let a be ((-2)\/10*r)\/(6\/15). Suppose -10*d = -166 + a. What is the highest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 798229313 to the nearest integer?\nAnswer: 28253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 33 = -4*j, 0*j + 2*j + 2*i + 14 = 0. Find the common denominator of ((-2)\/(-5))\/(j\/(-915)) and 47\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0036595574 + 0.00366. What is f rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -315 - -375. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccccccccb. Give prob of sequence cc.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1150 = 67*t - 435 + 759 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*78168\/(-57960) + 31?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15114 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5431815, -10863592, -16295369, -21727146?\nAnswer: -27158923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 82 - 194 = 0. Is 9 a factor of ((-58)\/(-9) + l\/(-63))*166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -13*m + 13. Let v(w) = 11*w - 14. Let u(r) = -5*b(r) - 6*v(r). Let o be u(14). Solve o - 6 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74126251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 118*j - 59*j - 59*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62314169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**2 + 34 + 12*y**3 - 36 + 10*y**2)*(9*y + 0*y - 29*y) in the form j*y**2 + s*y + c*y**3 + r + v*y**4 and give v.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 6, x: 2, y: 2, p: 3}. Give prob of sequence py.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -23*z + 11. Let c be 0 - (4 + (-1 - 0\/1)). Let j be b(c). Suppose 3*a - p = j, -24 = -a + 4*p - p. Which is smaller: a or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 100289 - 38911. What is y rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144944988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -507, -469, -431, -393, -355?\n\"Answer: 38*p - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 24*c - 2456 = 0, -3*k + 139*c = 136*c - 1758. Which is greater: k or 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2948374484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/24 - -3\/8. Let v = 260 + -147. Suppose v = -5*z + 108. Is z at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*i - 5*x, 8*i = 4*i + 3*x - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 37*k + 12 = 0. Solve b - 1 - 2 = -3*c, -k*c + 15 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -39, 1, -65, 2, -4 in decreasing order.\nAnswer: 5, 2, 1, -4, -39, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 11*o + 12. Let h be n(-10). Suppose -24 = -h*m + 6*y - y, -2*y = 8. Let d(z) = 72*z**2 + z - 3. Is d(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:33 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 12 = 0, 7*k - 2*k - 6 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1790082 divided by 42?\nAnswer: -42621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*j - 59, -2*j - 2*a + 26 = -4*a. Suppose -2*k - 16 = -p, k - 41 = -6*p + 3*p. Calculate the highest common divisor of p and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304232493 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 988457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c + -9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 - 32*y - 22. Let n be a(-10). Let s be (25 - 18) + (-4246)\/n. Round s to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29528600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538732772?\nAnswer: 2, 23, 137, 42743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 8579.\nAnswer: -64\/8579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3085, -6261, -9471, -12733, -16065, -19485, -23011?\n\"Answer: -3*t**3 + t**2 - 3158*t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (-927350)\/(-308). Let v = n - -3009. Find the common denominator of v and -151\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1283, 1594, 1905, 2216?\n\"Answer: 311*i + 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0257 and -25313?\nAnswer: 25312.9743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43110 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3 - 19098*t**2 - 19171*t + 1375128 = 0.\nAnswer: -9, 8, 19099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 5353.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 - 136. What is the second derivative of -3*l**4 - 51*l**3 + 4*l + l**3 + m*l**4 - l**4 wrt l?\nAnswer: -12*l**2 - 300*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 273.1001 centimeters?\nAnswer: 2731001000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11922.331 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24650 - 24640. Let l(u) = -2*u**3 + 22*u**2 - 19*u + 2. Calculate l(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 - -45. Let t = d - -77. Let p = -58.2 - t. What is the closest to 0.2 in 5, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7074.006 centuries to months.\nAnswer: 8488807.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 4. Let t be w(-4). Let a be t\/20 - (-1692)\/5. Suppose 160 = 2*n - a. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*r**2 + 699*r**2 + 284*r**2 - 4*r + 0*r.\nAnswer: 933*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 28*p. Let t(y) be the third derivative of 69*y**4\/8 + 415*y**2 - 3. What is q(t(o))?\nAnswer: 5796*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = 8. What is the second derivative of -3*v**5 + p*v**5 - 4*v**5 + 5*v + 0*v wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10 and -125\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (112\/126)\/((-8)\/(-36)). Solve 5*w = 5*c - 29 - 11, x = -2*c - 3*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.894677ms in minutes?\nAnswer: 0.00028157795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/402 - 382\/193965. Let f = m + 58857\/15440. Calculate the common denominator of -107\/10 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v + 19*v + 2*s - 64232, -5 = 5*s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -244\/3? (a) 4 (b) 3 (c) 506\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 - 14*o + 40. What is x(3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/24 + b**3\/6 - 5*b**2. Give z(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 175*u**2 + 2890*u - 388. Does 12 divide o(157)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9977.05 + 9977. Put 0.2, 1\/7, 0.125, b in decreasing order.\nAnswer: 0.2, 1\/7, 0.125, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -4, -6, -2\/3, 5869?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10.09495 times 283\nAnswer: -2856.87085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -1083749.\nAnswer: 21674.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -15*r**2. Let a = 59 + -42. Let c(d) = 5*d**2. Let t(s) = a*c(s) + 6*h(s). Let w(u) = -5*u**2. Determine w(t(x)).\nAnswer: -125*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*w - 0*w - 22, -3*y - 4*w + 29 = 0. Let t be -383 + (15\/5 - y). Let o = 1014 + t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-4)*48\/(-15). Let t(v) = -24 + 24 + g*v**2. Let m(d) = -d**2. Calculate m(t(z)).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*n**2 - 4*n - 9*n**4 + 174*n**2 + 5*n**4 + 2 to l*n + z*n**4 + t*n**3 + h + s*n**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-16) + (1526\/112 + -13)*(-882)\/(-45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6946149 divided by -19457\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6)*(-324)\/24. Let d(o) = -3*o**3 - 2. Suppose 4*s - 11 = -4*a + 1, 4*a + 33 = 5*s. Let j(n) = -12*n**3 - 9. Give a*j(f) + z*d(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/11950 and -3\/26290.\nAnswer: 131450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 139 - 4*j + 56 + 4*j - 220.\nAnswer: 2*j - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310553 is divided by 665.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 1)*4 + (-2*sqrt(132))\/sqrt(3))*-2.\nAnswer: -40*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - z + 13*z)*(1 + 2 - 5)*(1 - 3 + 3) to the form q*z + k and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(2\/3))**(-13\/4)*(n\/(n**(-1\/4)*n))**18 assuming n is positive.\nAnswer: n**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001314 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*f + 17 = 0, 24*f = -5*k + 22*f + 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 608*x - 1222*x + 649*x - 234*x**2 to the form t*x**2 + o + f*x and give f.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1.1 (c) -4\/7 (d) -5 (e) 2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15376.038253988 plus -5?\nAnswer: -15381.038253988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -319941, -638724, -957507, -1276290?\n\"Answer: -318783*j - 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -194.\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14207, 14336, 14533, 14798?\nAnswer: 15131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264212.\nAnswer: 2, 3, 35117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**6\/80 - 49*c**5\/5 - 2401*c**4 + 9*c**2 - 6. Factor k(f).\nAnswer: -3*f*(f + 196)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2 = 0, 0 = 155*d - 153*d - 5*k + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 1 = -5*a. Suppose 5 = t - h, 2*h = -5*t - h + a. Suppose 0 = t*q - k - 22, 26 - 7 = 3*q + 2*k. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6)*2\/(8\/204). Suppose -14*j + b*j = -3*g + 3138, 3*g - 3142 = j. What are the prime factors of g?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7211975.\nAnswer: 5, 53, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24150214958712 less than 0.3?\nAnswer: 24150214958712.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3.9. Let f = -3.1 + 3. What is the third smallest value in f, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/197 + -193\/394. Let x(d) = d**3 + 4*d**2 + 3*d + 2. Let j be x(-2). Which is the nearest to -2? (a) j (b) z (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 4*c**2 + 3*c**2)*(-2*c**2 - 2*c + 10*c**2 + 2*c**2 - 1).\nAnswer: 10*c**4 - 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*39\/(-1404))\/(1*2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87*2\/2*2*7\/(-126)*6?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 245*j + 3782. Give s(-16).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 173 and -0.38?\nAnswer: -65.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -29. Solve 3*n = 4*v + 27 - g, -2*n - 6 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 37899?\nAnswer: 37897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + ((-5)\/25 - (-9)\/(-5)). Suppose 31 = 3*q - 2*t - y*t, -2*q + 4*t = -22. What is the lowest common multiple of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104348 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -28. Suppose -h*m = 2*o - 122 - 124, -o = -2*m + 261. Suppose -4*t = 3*n - 30 - m, 2*t = -n + 78. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6762 = 99*a - 382. What is the remainder when 102 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*h = -282*h + 19464. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55978 - -149017. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286012 to the power of 1\/2, to the nearest integer?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 295*p**8\/14 + 787*p**4\/12 + p**2 + 14*p. Find the third derivative of z(n) wrt n.\nAnswer: 141600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*d**2 + 2*d - d + 2384 - 2395 to s*d + c + w*d**2 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 7.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.96 + -4. Let n = -0.06 + z. Let l = -0.1 - 0. Is n greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 78 = -13*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvvvvvvvvvvbbb. What is prob of picking 3 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*b**3*c*i - 8*b**3*c - 9*b*c - 2*b*i + c*i wrt i.\nAnswer: 9*b**3*c - 2*b + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.66738176 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u - 11*u - 1306988*u**2 + 1307003*u**2.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 + 0 = 2*f, 5 = -5*f - 2*g. Which is the second smallest value? (a) -4 (b) -14 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -83. Which is the smallest value? (a) -1 (b) -4 (c) -0.1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2153*o**3 - 25*o + 25*o.\nAnswer: 2153*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 1\/232, 57, 2?\nAnswer: 1\/232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001109615329 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21939.07 - 21939. Which is the nearest to 0? (a) -5\/6 (b) -4\/11 (c) r (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*4*8\/64\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.0718888937 and -3371.\nAnswer: -3367.9281111063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**3 + 2*h**2 - 1. What is r(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/18 + 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117413887.\nAnswer: 117413887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237 + -215.7. Let o = 21 - a. Put -0.4, o, -1\/2 in descending order.\nAnswer: o, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -40\/9 (c) 1\/2 (d) 0 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 6*s**2 - 7*s. Let m be z(-6). Suppose -m = -w + 469. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u*z**3 + 2*u*z + 141*u - z**3 - 269*z**2 + 2*z - 1 wrt z.\nAnswer: 6*u*z - 6*z - 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(-30)*(-40)\/16\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000263030562 to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n = 71*n - 5*w + 16, -10 = 2*n - 3*w. Let b be 770\/(-7) - (n + -2). What is the second biggest value in -3, -0.2, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 3*f**2 - 3*f + 2. Let l(k) = -2*k**2 - 2*k + 3. What is -3*l(p) + 2*q(p)?\nAnswer: -2*p**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(85)*2 - sqrt(85) - sqrt(85))\/sqrt(5))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1766 - 2517. Let r = u + 750.8. Put 16, -3, r in increasing order.\nAnswer: -3, r, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2787*a - 13059 + 61062 = -139022 - 172498 for a.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 5. Let d be c(-6). What is the remainder when (1 + 6)\/(d\/(-4)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k - 120. Let s be v(-27). Solve -m = -5*m - 3*j + 35, s = 3*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from vqqlqlzvvqvlllqgzgz?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 47*i**3 - i**2 + i - 2. Let l be j(1). Calculate the highest common factor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 6\/11 (b) -4 (c) 0.1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 476*x**2. Let r(d) = 2*d. What is r(q(v))?\nAnswer: 952*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 223797485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174653332, 174653331, 174653330?\nAnswer: 174653329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - g - 1. Let w(y) be the second derivative of y**5\/10 + 7*y**4\/12 - y**3\/6 - 2*y**2 - 3*y. Let k(l) = -3*q(l) + w(l). Determine k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*u**2 + 232*g**2*u + g*u**3 + g*u**2 + 793*u**2 + 153*u wrt u.\nAnswer: 2*g**2 + 6*g*u + 2*g + 1586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36909?\nAnswer: 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-15)*u\/(u*u**(-34)*u)*(u*u**(-3\/14))\/u*u\/(u*u**(12\/7)))**(-1\/74) assuming u is positive.\nAnswer: u**(-225\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**2 - 31*v**2 - 21*v**2.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Suppose -7 = k + k - l, 3*k = 5*l - 28. Let d be u(k). Let g(x) = 3*x**2 - 3*x**2 - x**d. Let j(o) = o**2. Determine g(j(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 286.2 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 138*j**3 - 1692*j**2 + 1848*j + 11616.\nAnswer: -3*(j - 22)**2*(j - 4)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z + 10. Suppose w - 1 - 4 = 3*a, 3*w = 15. What is y(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4)*(5\/(-4))\/((-1071)\/(-204))?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -20. What is the second biggest value in c, 1\/3, 0.2, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 24*o**3 + 57*o**2 - 30*o.\nAnswer: -3*o*(o - 1)**2*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 + 6*a. Let y(z) be the first derivative of -2*z**3 + 6*z**2 + 4. Let n(b) = 9*g(b) - 4*y(b). What is the second derivative of n(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005358932 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479242 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4) + 0)\/((-7)\/14). Let l be (-3)\/3 - 1 - (x - 2). What is the derivative of 21 - 13*r**l - 10*r**3 + 3*r**3 + 0*r**3 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 6)*33\/(-6). Calculate the remainder when 42 is divided by h*(1 + -2 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 444540 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1001302 (base 5) to base 13\nAnswer: 7286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or 1960?\nAnswer: 1960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = -3*s + 33, 0 = -5*s - c + 51. Suppose b = 6*b - s. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1 + 5 + 2 - 2 + 2*i. Suppose -17*f + 20*f = -21. Calculate q(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2952.\nAnswer: 1\/984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*m + 448 - 448 + 300*m - 101*m - 99*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 689.9 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 4*j - 9. Let k be (-1)\/(21\/55 + (-8)\/44). What is the least common multiple of 6 and h(k)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 2*u**4 + 7*u**3 - 12*u**4 + (0 - 4*u**2 + 0)*(-2*u - 2 + 2)*(-3*u + 3*u + 2*u) in the form h*u**4 + f*u**3 + p*u + k*u**2 + o and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -77*h. Let u(x) = 13*x. Suppose 0 = -f + 4*f - 18. Let s(d) = f*g(d) + 35*u(d). Let a(l) = 4*l**2. Calculate a(s(m)).\nAnswer: 196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/(p*p\/(((p*p\/((p\/(p\/(p\/(p*p\/p**7))))\/p))\/p)\/p)))\/(p**7*p\/(p\/p**(-38))) assuming p is positive.\nAnswer: p**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -3 - (2 + -1). Suppose -2*h + 6 = 2*q, s*q - 5*h = 5*q - 6. Solve -5*d = 4*r - 32, q*d = 3*r - 1 + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288074027.\nAnswer: 17, 53, 319727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)*d)**(-2\/37)\/((d**(-2\/19)*d)\/((d\/(d\/(d**(1\/11)*d)))\/d*d)))**(-38) assuming d is positive.\nAnswer: d**(-5758\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 354015*z**2 - 354010*z.\nAnswer: -5*z*(z - 70802)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/11 + 3326324*g + 15213593110342 = 0 for g.\nAnswer: -9147391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -203*v + 531. What is the thousands digit of r(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-155)\/24380)\/(4395\/(-23208154)). Let r = k + 21\/77645. Let h = 500\/23 - r. Calculate the common denominator of 125\/6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08524064 to three decimal places.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.9 + 0.6. Let p = -0.3 - o. What is the third smallest value in p, 2, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**5\/20 - s**3\/6 - s + 4. Let m(z) be the first derivative of j(z). Find the second derivative of m(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f*f**(-21)\/f*f*f*f))*f)\/f*f*f*f*f*(f*f\/(f**(-1\/19)*f*f))\/f assuming f is positive.\nAnswer: f**(-265\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 20. Let o(t) = -t**3 - 8*t**2 + 11*t + 13. Let i be o(-9). Let j(a) = -a - 21. Let k(h) = i*j(h) - 6*x(h). Is 17 a factor of k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.2 + -6.9. Let h be 5 - 3 - 2\/(-4). What is the smallest value in h, -2\/21, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 36 (b) 45 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 - -117. Suppose 4*c - 112 = -s*f, f - 5*f - 2*c = -146. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 936*t**2 - 2*t + 5. Let y(q) = -6*q. Determine h(y(m)).\nAnswer: 33696*m**2 + 12*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632 = 39*s + 749 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 82*k - 670. Let l be x(48). Sort 46, 15, l in ascending order.\nAnswer: l, 15, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 466568*n**3*v**2 - 21*n**3*v - 4*n**3 + n**2*v + 18*n*v + 26*v**4 - 47*v - 10 wrt v?\nAnswer: 933136*n**3 + 312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**3 + 87*i**2 - 53*i + 60. Calculate v(-7).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 + o + 1. Let i(v) = -5*v**2 - 2*v + 6. Determine 2*b(u) + i(u).\nAnswer: -11*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**3 - 427*i**2 - 8068*i.\nAnswer: 30*i - 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1096 + 541. Let u = b + 962. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49151242.\nAnswer: 2, 7, 3510803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*z + 1 - 2 + 4 - 4 + 3 as p + y*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**3 + 12*f**2 - 11*f**2 - 7*f**2 in the form b*f**3 + n*f + d + r*f**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325814.\nAnswer: 2, 3, 7, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(32) - (sqrt(242) + sqrt(242) + sqrt(242) + sqrt(242) + 0 + sqrt(242) + sqrt(2))**2.\nAnswer: -6277 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/17 in -0.25, -0.2, 1?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**22*u*u\/u**(-4\/5)*(u\/(u*u\/(u\/(u**(3\/2)\/u*u))))**(-2\/17) assuming u is positive.\nAnswer: u**(2123\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) 4 (c) -14 (d) -2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2391089 + 23872599\/10. Suppose 3*x - 5*t = 11485, 3*x + t - 15344 = -x. Let y = x + p. What is the common denominator of 131\/18 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*x*y**4 - 4*x*y + 21*x + y**4 - 2205*y**2 + 7048*y wrt y.\nAnswer: 900*x*y**2 + 12*y**2 - 4410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 - 2*w + 28. Let j be y(0). Suppose -4*c = -4*q + j, 0 = -5*q + 4*c - 2*c + 35. What is the highest common divisor of q and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 416.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2400 - 2391. Solve -o*p = -p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -17. Solve -l = -2*w + 5*p + 1, -3*w + p = 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 159 + 858. Is 111 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.15485967 + -11.\nAnswer: -9.84514033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4*206\/((-27810)\/1215)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -12 + 18 - 12 + 1 - 16*f - f**2 - 34. Calculate s(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.22 - -0.22. Put 0.5, 1\/7, w in ascending order.\nAnswer: w, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Suppose -3*l = -b*l - 273. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2867061 tonnes?\nAnswer: 286706.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 36*a = -200 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 23, -10 in ascending order.\nAnswer: -10, -2, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 36*z - 792, -132 = -6*z + 25*s + 35*s - 55*s for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5090.754 millennia in months?\nAnswer: 61089048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4697657 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = 69. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -263568 - 4?\nAnswer: -26356c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvbh when four letters picked without replacement from bhbvvbbh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-6*sqrt(112))**2 - sqrt(7)).\nAnswer: -sqrt(7) + 4028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499386015 to the power of 1\/2, to the nearest integer?\nAnswer: 59156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + l = -4*p - 1, 5*p = 4*l + 5. Let w = p - 4. Let k = 13 + w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muulemzmzozeu. What is prob of sequence eemu?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*z - 137*z - 353*z + 9*z + 114*z.\nAnswer: -532*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(27) - 2*sqrt(15)\/sqrt(5)) + (sqrt(27) + -2*sqrt(27))*3.\nAnswer: -8*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*q - 101*q - 6 = 0. Calculate the smallest common multiple of q and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 47*i**2 + 73*i - 40. Determine s(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) 4 (c) -8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -57 + 55 - (-23 - (5 + -4)). Solve 3*o + 3 = 3*k - 3, -4*k + r = 3*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:36 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 22 = x, 0*x + 4*x - 4 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2 + 55 - 106 - 41 + 3*x. Let t be l(30). Determine g so that -5\/7*g**4 - 3\/7*g**2 + 1\/7*g**5 + g**3 + 0*g + t = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 6*h - 3. Let j(a) = 4*a**2 + 16*a - 8. Let t(k) = 3*j(k) - 8*z(k). Let m(f) = -12*f - 7. Give t(m(w)).\nAnswer: 576*w**2 + 672*w + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6 and 3\/7 - (-4707)\/(-252).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74, 1410, 2746, 4082, 5418, 6754?\n\"Answer: 1336*c - 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 7 - 1 + 3 - 4 - h**2. Let p be w(4). Let m(l) = 110*l - 224*l + 113*l - l**3 + l**2. Let j(f) = 5*f**3 - 6*f**2 + 8*f. Give p*j(y) + 6*m(y).\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 49*u**3 - 2 + 33*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2069170 is divided by 192.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 1\/540*l**6 - 1\/27*l**3 + 1\/36*l**4 - 1\/90*l**5 + 0*l + 0 - 4*l**2. Factor k(p).\nAnswer: 2*(p - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 59*m**7\/14 - 227*m**3\/6 + m**2\/2 - 142*m. Find the second derivative of j(w) wrt w.\nAnswer: 3540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100580, 100579, 100576, 100571, 100564?\nAnswer: 100555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1299, -1279, -1231, -1143, -1003, -799, -519?\n\"Answer: 2*j**3 + 2*j**2 - 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -27*b + 1. Let y(x) = 26*x**2. What is y(j(i))?\nAnswer: 18954*i**2 - 1404*i + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 2. Let z be n(0). Let j(p) = p. Let u be j(2). Suppose -v + u*b - 77 = -z*v, -3*b = -5*v + 398. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -70\/9, 107, 0.1, -3\/5, 0.4?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -65*w + 89 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167912, -671625, -1511138, -2686451, -4197564?\nAnswer: -6044477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 - 2*g - 1. Suppose -5*s = 3*h, -2*s - 28 = -3*s + 5*h. Let p = s + -4. List the prime factors of m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 68. Let g = t - -461\/6. Let x = -19.6 - -20. Which is the closest to 2\/3? (a) g (b) 1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 10. What is b(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -84 (b) 9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 10\/(300\/(-78)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 2. Let m = -12 + 9. Let h be d(m). Suppose 39 = 3*b - 3*y, h*b = -4*y + 5*y + 55. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129927353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/8132500 and 19\/65060000.\nAnswer: 65060000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + m - t - 12, 4*m - 5*t = 2. Which is bigger: m or -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*c + 45, 0 = j - 3*c + c - 1840. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -2\/23 (b) -1 (c) 11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, 3, 14, 1, 2, 8, -5 in descending order.\nAnswer: 132, 14, 8, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -257*m + 35364. Give t(137).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z*z*(z\/(z*z**1*z)*z*z*z*z)\/z)\/z*z))\/z)**(2\/39)\/(z**(-1))**(-36))\/(z\/(z\/z**(4\/7)*z*z)*z\/(z**(5\/3)\/z))**(-3\/13) assuming z is positive.\nAnswer: z**(-3313\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 8\/9, -2\/9, -1\/4.\nAnswer: -1\/4, -2\/9, 1\/4, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(378)\/sqrt(7) + sqrt(6)))\/(sqrt(2) + 2*sqrt(6)\/sqrt(3)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27973 + 28004. Solve 5*f = 4*c - d, 0 = -5*c + 6*c + f - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/226 (b) -1 (c) -5 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-12)\/(-9)*(-39)\/(-26)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*m + 9, 5*m - 2*g = -0*g - 6. Let u = -0.3 - -0.5. Let q = 20408 - 20407.6. Which is the closest to -1\/3? (a) m (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1850 and 77185330?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*g**3\/7 - 29084*g**2\/7 + 5282*g\/7 - 240\/7.\nAnswer: 2*(g - 120)*(11*g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 5*j**4\/6 + j**3\/3 - 4*j**2 + 2647*j. What is k(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**2*v**3 - 1473704486*p**2 - 277875330*p*v**3 wrt v.\nAnswer: 3*p**2*v**2 - 833625990*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 4\/3*d**3 - 4\/5*d**5 - 15 + 0*d + 2*d**2 - d**4. Factor y(t).\nAnswer: -4*t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 29 + 195 = 3*i, 0 = -4*x - 4*i + 136. Suppose 2*n + 7 = w - 0*w, -2*w - 2*n = -x. Let o(q) = -165 + 165 + w*q. Let h(c) = c**2. Give o(h(b)).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -12*b + 2. Suppose -70*u = -45*u - 250. Let p(n) = 6*n - 1. Give u*p(c) + 4*r(c).\nAnswer: 12*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppopppooopppp. What is prob of picking 2 p and 1 o?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 1. Let f(w) = 2*w**2 - w - 52. What is f(j) - 3*k(j)?\nAnswer: 2*j**2 + 2*j - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1101*r - 49478. What is n(45)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079976 is divided by 215995.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 63*a**2 + 777*a - 52046. What is o(62)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 3*q - 4. Let b be x(3). Let p(u) = -14*u - 32. Let f be p(-3). Let r be 4\/(-6) + f\/15 + 4. What is the highest common factor of b and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*p + 82*p - 2*p as d + r*p and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*u**3 + 5348*u**2 - 566*u - 1493 wrt u?\nAnswer: -954*u + 10696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 f when three letters picked without replacement from ssshshshqshssfs.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9964638 is divided by 2710.\nAnswer: 2678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -18. Suppose w*v - 4*v = -3. Suppose -k - 45 = -4*z, -k + 51 = v*z + z. Solve 2*f - z = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1555 = w + 141. List the prime factors of w.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - b**2 - b. Let t(h) = -40*h**3 - 24*h**2 - 44*h. Let g(q) = 24*k(q) - t(q). What is the second derivative of g(i) wrt i?\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = 0, -3*n + 144*l - 147*l = -1218. Let j = n - 307. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*t = 320, 0 = 3*r - 3*t - t - 233. Let l = 1247\/15 - r. Let v = 4.1 - 2.1. Which is the third smallest value? (a) -0.1 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -122 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ceb9 (base 15) to base 9.\nAnswer: -241003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**10*m)\/m)**(-36))**(1\/12) assuming m is positive.\nAnswer: m**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iziz when four letters picked without replacement from {z: 2, i: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51012.89l?\nAnswer: 51012890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2657421 is divided by 28885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -201 + 22. Let l = i - -592. Suppose -4*n - 33 = -l. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3 + 2*t**2 - 122781*t - 71504871.\nAnswer: 6*t**2 + 4*t - 122781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + v**2. Let w be (-4)\/4 - (-1 + 1). Let q be f(w). Suppose -q*n = -4*n. Solve 4*g + n*g + 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 4)*(-5)\/(-3). Let s be (28 + -9)\/(7\/3 - 2). Let x = -52 + s. Calculate the highest common divisor of u and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w + 3*u - 1743 = 0, -4*w + 1387 = -5*u. Is w a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2309, -8890, -19863, -35234, -55009?\n\"Answer: -n**3 - 2190*n**2 - 4*n - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.8 + 25. Let d = 0.2 - n. Let q = 4.9932 - d. Round q to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(572)*-1*1)\/((sqrt(88) + sqrt(88)*2)\/sqrt(8)))**2 + 4.\nAnswer: 296\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**7\/84 - j**6\/45 - 11*j**5\/60 - j**4\/6 + 7*j**3\/6 + 15*j**2. Let h(p) be the first derivative of i(p). Factor h(m).\nAnswer: 2*(m - 2)*(m + 1)*(5*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 718 - 2132\/3. Suppose 12 = -3*k + 6*k. Calculate the common denominator of (k\/8)\/((-27)\/282) and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5468.5398 rounded to zero decimal places?\nAnswer: -5469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1635)\/(-771720)*2*-8?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133584 and 4140.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-880)\/(-26) - (-6)\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -6405662.\nAnswer: 2\/3202831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*a + a**3 - a**2 - 43*a + 1 + 3*a**4 + 77*a as u + x*a**2 + p*a**4 + q*a**3 + g*a and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.018*-36064\nAnswer: 649.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 4 - 3*r - 1 + 7*r. Suppose -619*x = -499*x - 480. Determine v(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -81*b - 3. Suppose o = 383 - 384, -13 = -t - 5*o. What is the remainder when m(-2) is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12606 - 12571. Solve 49*y - l = 56*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*z - 2*m, z = 3*z + m - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 4*b**2 - 6*b + 6. Let u(m) = m**2 + 2*m - 3. Let k be u(-4). Let i be y(k). What is the units digit of (-24 + 31)*((-8)\/(-14))\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*h**2 + 24*h**2 + 7*h**2)*(-3*h - 9*h - 3*h)*(h + 7 - 11*h - 6).\nAnswer: 7950*h**4 - 795*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8 = 34. Suppose 3*u - w + 1 = 0. Suppose -5*i = 0, -u*l = i + i - 100. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 8585616?\nAnswer: 42928080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2 - 1 + 5*t - 1 - t**2. Suppose 0 = -10*x + 143 + 67. Suppose 0 = -y + 8*y - x. What is z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -20 + 0 + 30 + (-1 - -3) + -6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**10\/c**13*c\/(c*c*c**4*c*c*c)*c**(8\/3)\/c assuming c is positive.\nAnswer: c**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/60*(-15)\/((-45)\/(-534)) and 129\/(-45) + (-2)\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/550 and -91\/1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-12))\/((-21)\/(-145 + 19)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69.99999856 - 70. What is y rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497650200 rounded to the nearest one million?\nAnswer: -1498000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*d + 6, 0*d + 4*b - 8 = -d. Suppose -q + d*u + 5*u = 14, 2*q = -3*u + 11. Suppose 2*k = -x + 5, -4 = x + 4*k - q. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602554 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643039 is divided by 18912?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -20*w**3 + 21*w**2 + 83*w - 25. What are the prime factors of r(-6)?\nAnswer: 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/7)*i*i*i**4*i*(i\/(i\/i**(-4\/5)))\/(i\/((i*i*(i\/i**(-1\/14))\/i)\/i)) assuming i is positive.\nAnswer: i**(459\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = x + j, x + 4*x - 3*j - 155 = 0. Suppose -29*g - 165 = -x*g. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(50) - sqrt(357)\/sqrt(343))\/(sqrt(1323) + (sqrt(48) - sqrt(48)*-3)))**2.\nAnswer: 68\/1677025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3966*r + 19842. What is j(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -795 - -805. Solve -6 = 4*f - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-15)*(-6)\/62?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4\/20 + 3*s**3 - 84*s**2\/5 + 164*s\/5 - 199. Factor c(m).\nAnswer: -(m - 41)*(m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - 2*f. Let d be f\/(-3)*(-3)\/4. Let i be 1\/(-3) - 25\/(-30). Which is the second smallest value? (a) i (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 788.\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 2. Let t = -30 - -25. Suppose -p = -0*p - 1. Sort h, t, p in descending order.\nAnswer: p, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 6:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*w, 4*d = -w + 5*w - 40. List the prime factors of (d + 158\/(-6))\/((-2)\/6).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 2*a**7\/21 - 2*a**5\/5 + 2*a**3\/3 + 17*a. Factor q(l).\nAnswer: 4*l*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 1023543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1360 and 24?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0 (c) 4\/7 (d) 1\/379 (e) -968\/7 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9178, -9176, -9172, -9166?\nAnswer: -9158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-27)*4\/(6\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 3:11 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.99 + 0.01. Let w = -5 + l. Let i = 0.2 - 0.7. Which is the second smallest value? (a) w (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/11 + 4454\/187. Calculate the highest common factor of a and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 195469?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 - 49 = 4*k. Suppose k = -4*r + 326. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (0 - (-10 - -8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*((-176)\/(-16) + (11542\/36)\/(-29))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1 + sqrt(114))\/sqrt(6) - (-2 + sqrt(19) + 0 + sqrt(19))**2) + 1*(sqrt(19) - (-2 + 0 + sqrt(19))).\nAnswer: -78 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2626*k**2 - 1943*k**2 + 4583*k**2.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28918.\nAnswer: 2, 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 - 193. Let s(i) = -4*i - 10. Let w be s(r). Solve 4*n + v = 5, v = n + 6*v - w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1322 + -1.3298. Let o = b + 1.40528. Round o to 3 dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 63569.36ug?\nAnswer: 0.06356936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 + -220741?\nAnswer: -220719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 485137746 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7838943 rounded to 2 decimal places?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-1485)\/36)\/(-33))\/((-66)\/(-144))\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 903 and 1161.\nAnswer: 8127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 7*k - 12. Let y be q(9). Let l be (-12)\/(-14)*161\/46. Suppose -y*t = -l*t. Which is greater: -4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -224 + 224. Which is the biggest value? (a) t (b) 22 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25162 and -125808\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*r - 13*r + 15*r.\nAnswer: -71*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((395 - 21)\/(-17))\/(-2) + 15\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41165582.\nAnswer: 2, 31, 663961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/3, 4, -2, 1.\nAnswer: -2, -1\/2, -1\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 5*g**2 + 2*g + 2. Let l be a(4). Let s = -8 - l. Let p = s + 5. Solve -p*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**14*x)\/x*x)\/x*x)\/(x*x**24) assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1871, 2540, 3209, 3878?\n\"Answer: 669*r + 1202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25858 and 47782.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 2 - 8) + 0\/(-2). Let t = -7 - -12. What is the remainder when t is divided by 4 - 5 - (c + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 20*j**2 - 4*j - 47. Let m be b(-20). Suppose 15*s + m*s = 144. Solve -3 = -2*l + s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 4*l + 3*l + (2*l + 2*l - 2*l)*(1 - 2 - 1) + 0*l - 5*l + 4*l)*(32*l**2 - 24*l**2 + 25*l**2) to the form p + f*l**3 + n*l + i*l**2 and give f.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*1*2\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 33. Suppose -r + n = r. Let o(b) = -5*b + 11. Let l(m) = -4*m - 13. Let s(i) = -i - 4. Let x(y) = -2*l(y) + 7*s(y). What is r*o(k) + 22*x(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 56 = 49. Let w = 37 + b. Sort w, -3, -5, -4 in ascending order.\nAnswer: -5, -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125\/(-650))\/((-245)\/14*(-14)\/588).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2. Suppose 4*m = 4*d - 4, -2*d + 1 = -7*d + 2*m. Let x be y(d). Suppose -5*u - 2 + 37 = x*b, 2*u + 2*b = 18. Is 2 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1 - 2\/4). Let t = 87495.5 - 87496. What is the third smallest value in q, t, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696648.6 decades in centuries?\nAnswer: 69664.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 405 + -408. Let f(l) = 9*l + 18. Let z be f(-1). Which is the second smallest value? (a) 0.4 (b) 0.1 (c) z (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1051 divided by 109\nAnswer: -1051\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 182089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1409*m**2 - 55 + 55 - 1750*m**2 in the form x*m + q + f*m**2 and give f.\nAnswer: -3159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10331, 10326, 10321, 10316, 10311?\n\"Answer: -5*t + 10336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -743 - 0?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/4 + 1. Which is the closest to f? (a) 1 (b) 3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 0. Is (s*1)\/(1\/13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1006\/2465 + 8\/145. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2465*y - 145365. What is d(59)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170996 and 2604.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 23*w**3 - 17*w**2 + 17*w - 36. Let b(t) be the first derivative of t**4 - t**3 + 3*t**2\/2 - 6*t + 361. Give -34*b(u) + 6*z(u).\nAnswer: 2*u**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or 0.34?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13577889.\nAnswer: 3, 13, 23, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 9. Suppose -d = -4*a + 5*j, 12 = 4*a - 4*j + 6*j. Solve a*z + z = -20, -4*s - 25 = z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 + (-4)\/(-14). Suppose 3*r = 3*w - 15, d*w - w - 2*r = 4. What is the derivative of -2*h**2 + 5 + 0*h**2 + 2*h**2 - h**w wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 171?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5711\/20 - -1185\/4. Calculate the common denominator of b and 25\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 3*r = 9*l - 6, -4*r = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 3*j**2 - j - 9. Let m be x(-3). Let q(a) = -a**2 - 7*a - 5. Determine q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34312 (base 7) in base 2?\nAnswer: -10001000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -6. Suppose 36 = 3*p + a. What is the lowest common multiple of p and (9*3\/(-18))\/(3\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9 = -3*v, 4*s - 2 = -v + 6*v. Find the third derivative of 3*c**4 + 0*c**4 - 5*c**2 + 3*c**v - 2*c**4 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 788, 1557, 2314, 3053, 3768, 4453?\n\"Answer: -m**3 + 776*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 23, 6 in ascending order.\nAnswer: -113, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16787 + 16807. Calculate the remainder when 7856 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 18 = 8*z. What is the remainder when z is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:43 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7806 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*a + 90, 2*p - p - 21 = -a. What is the second derivative of 3*x**3 + p*x + 14*x - 6*x - 9*x**3 wrt x?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/34053 and -44\/411.\nAnswer: 4665261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w**3 - 3*w**3 + 3*w**3)*((12 - 4 + 2)*(2 - 4 + 3) + 0 - 1 + 0).\nAnswer: -81*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4499000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -3*g - 11. Let l = -53\/2 - -26. Which is bigger: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/3 - 2357*y\/3 - 2356\/3 = 0. What is y?\nAnswer: -2356, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4668 is divided by 744?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7699.\nAnswer: 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/20 - x**4 - 8*x**3\/3 + 3*x**2\/2 + 2*x. What is the units digit of s(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 - 3*j**4 + 0*j**4)*(2 + 0 + 1) - 4*j**2 + 4*j**2 - 3*j**4.\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6040350650.4120171 - -6986166848.41201684. Let x = d - 945816164. Let f = x + -34. Round f to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 55. Calculate j(-49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(4 - -11) - (-11)\/3. Let r = 55 - b. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c + -7942?\nAnswer: -7894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 2*x - 4633 + 4550, -73 = -2*x + 3*b for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 2*h**3 - 4*h**2 - 8*h - 4. Let t(z) = 0. Calculate z.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/3 + 2220*n**2 + 1220000*n + 662338000\/3.\nAnswer: 4*(n + 445)*(n + 610)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -24 + (16 - 0) + (-113 - -25)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*r**2 + 0 - 2 + 1 + 63*r**2.\nAnswer: -53*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 388*i**6 - 1476*i**3 + 12619840*i**2 wrt i.\nAnswer: 46560*i**3 - 8856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 18. Let z(c) = 97. Let r(t) = 275. Let n(x) = 6*r(x) - 17*z(x). Determine -10*n(f) - v(f).\nAnswer: 2*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.5. Let p = 55.659 - 0.159. Let r = 53.5 - p. Which is the fourth smallest value? (a) m (b) r (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2031236?\nAnswer: 2, 507809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 166 = 77. Let x be b\/(-12) + (-6)\/(-8). Suppose 4*s + x*g = 38 + 322, 4*s - 4*g - 388 = 0. List the prime factors of s.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5768 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.947767 to one dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 + 69*y**2 + 31*y + 133. Let l be f(35). Let g(d) = 5*d - 9. Let h(r) = -8*r + 13. Calculate l*g(i) - 5*h(i).\nAnswer: 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*n + 1 - 5 = 0, w = -3*n + 10. Suppose -w*r**2 + 2*r**3 - 3*r**2 + 10*r**2 + r**3 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**7\/294 + 2*c**6\/105 + 3*c**5\/70 + c**4\/21 + c**3\/42 - 15*c. Determine m so that q(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192274043?\nAnswer: 13, 23, 73, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 127*g**2 + 4*g - 3. Let i(d) = d**3 + 508*d**2 + 18*d - 13. Determine -2*i(l) + 9*v(l).\nAnswer: -2*l**3 + 127*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*o**4 - 38540*o**2 - 80299293.\nAnswer: -436*o**3 - 77080*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -485*r**3*w**4 + 8068719*r**3*w - r**2*w**2 - 70080*r*w**4 - 3*w wrt w.\nAnswer: -11640*r**3*w - 1681920*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12271 + 15494. What is the greatest common divisor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -11, 8, 35?\n\"Answer: 4*w**2 - w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atc when three letters picked without replacement from atajajjjcbjyj.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -47?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:34 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 0 - (5744 + -5804)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1368)\/(-840) + 30\/(-25) - (-78)\/(-42).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10302 (base 4) in base 14?\nAnswer: 17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-4 + 2 + 1)*(0 + 1 + 1)*(11*g + 13*g + 3*g).\nAnswer: -54*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 11201201?\nAnswer: -11201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67925808?\nAnswer: 2, 3, 23, 20509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.03 + -7.029998718. What is v rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125393611.\nAnswer: 23, 101, 484457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163317 is divided by 1498?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from mxmpxmmppxmp?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(3\/(-6) - -1). Suppose -a*w - b = -35, -4*w - 2*b + 12 = -34. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/15 and -22\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/141 or -522?\nAnswer: -522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*b + 2*b. Let p = 71232 - 71231. Let c(d) = -d**3 - d**2 - 1. Let l(j) = 16*j**3 + 5*j**2 + 5. What is b*c(a) + p*l(a)?\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + -385. Let r = 747 + o. Suppose 0 = 5*g - 0*g - r. Round g to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3249*q**2 - 128601202 + 128601202 in the form s*q + j + f*q**2 and give f.\nAnswer: 3249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5644384, 5644383, 5644382, 5644381, 5644380, 5644379?\n\"Answer: -z + 5644385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 3*j - 40. Let f = -248 - -234. Let i be t(f). Which is smaller: -193 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48448679501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -613 + 535. Let r = -27 - u. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121360, -242720, -364080, -485440, -606800, -728160?\nAnswer: -849520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 + -153. Put -3\/4, x, -0.2 in ascending order.\nAnswer: -3\/4, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.9 and 4?\nAnswer: 83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*f = -176, -4*m + 222 + 66 = -4*f. List the prime factors of m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-540) - (-871)\/7020?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b6 + 32a4?\nAnswer: 339a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4156035 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 829 and 62.6.\nAnswer: 891.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/86068 and 97\/16?\nAnswer: 344272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 4*t + 4. Let r(s) be the third derivative of s**6\/30 - 5*s**4\/24 + 5*s**3\/6 + 4*s**2. Give 5*c(v) - 4*r(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1793 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 15 (b) 5\/103 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:29 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -61c - -1?\nAnswer: -61b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a500 - 71?\nAnswer: a45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/37472 and 95\/11738104.\nAnswer: 46952416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 2)*(-5 + 1 - 5)*(-2*n**3 - 2*n**3 + 2*n**3) in the form u*n + z*n**2 + i + v*n**3 and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngq when three letters picked without replacement from qlgnlg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8. Let c(q) = 152*q + 1034. Let x be c(-8). Is x bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14309677?\nAnswer: 1747, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-3) - (2 + (-1 - (32 - 5))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from kudfqsfdkfk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 976\/182 - 0\/(-1). Let w be ((-132)\/3)\/(26\/(-3)). Let h = r - w. What is the closest to h in -5, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -8 (c) 2 (d) -11 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*s + 3385 - 2849 = -6584 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 4 = -c, -5*m = -3*c - 8. Let l(o) = -2*o**2 + 3*o + 3. Let h be l(-3). Let y be 6\/4 - (-39)\/h. What is the nearest to 0 in y, 0.4, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 419\/63 + -56\/9. What is the biggest value in 1, d, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7826 and 1834.\nAnswer: 1025206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -996 + 995.94. What is the second biggest value in p, -0.3, 5\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114635162 (base 7) in base 14?\nAnswer: d48769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 10 + 6 = 0, -4*y - 1 = 3*x. What is the remainder when 22 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/1456)\/(20\/(-16))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -4\/511869 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33a48 + -6?\nAnswer: -33a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (1 - -9)) + 25 + 2 + -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -723050 (base 9) to base 5\nAnswer: -102204242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 55*w - 53*w + 144, 4*o = -5*w + 315. Solve 0 = 4*x - 29*x + o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 11 = -k, -4*k - 5 = -27*t + 24*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*s = 2*s. Let v be 39\/26*3\/(3\/8). Let i(m) = m**2 - 2*m - 2. Let l be i(4). Solve l*q - 3*q + v = s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rim when three letters picked without replacement from {r: 4, m: 2, i: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 24 = 0, -5*u + 19 = 4*a - 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. What are the prime factors of -1 + (9\/v - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - d + 38. Let b be z(0). Let c = 17 + b. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30048 and 2464.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1467.51km?\nAnswer: 1467510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/13*3*16\/48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 340729*x - 340724*x + 14, -x - 40 = 6*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Let f be c(2). Suppose 0 = -j + f*j - 11. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4552706 and 137?\nAnswer: 623720722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/345 and -13\/150240?\nAnswer: 3455520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(180))**2 - (-2 + 0 + sqrt(5)) - (sqrt(60)\/sqrt(3)*-1 - 3*sqrt(320))**2.\nAnswer: -498 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12957051.\nAnswer: 3, 4319017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m - 28. Suppose m = 3*j + u - 8, -j - 4*u = -16. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n - 14*n**2 - 21*n**2 + 36*n**2 to the form w*n + a + b*n**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787656?\nAnswer: 2, 3, 37, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 0*o**2 - 5\/3*o**3 + 1\/4*o**4 + 0*o - 1. Let s be v(5). Which is smaller: s or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q - 7*q - 70 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 3*f - 12 + 26 - 3*f + 5*f**2 as p*f + d*f**2 + u and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(4*(-1 + (sqrt(252) - (0 + sqrt(252)))) - (-3*(sqrt(252) - (sqrt(252) + -1)) + (sqrt(252) + sqrt(252) + -1)*-5))**2.\nAnswer: -201888 + 5760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 177? (a) -70 (b) -1319 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.887295058 rounded to two decimal places?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-8\/7))\/u*u)*u)**(3\/22)*(u*u**(2\/7))\/u**17 assuming u is positive.\nAnswer: u**(-2375\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**5 - 145*r**4 - 1080*r**3 + 200*r**2 + 9520*r + 11760 = 0. Calculate r.\nAnswer: -14, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 3*z = -5*p + 13, -3*p + 0*p = -2*z + 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p - 3 = 0. Let b(a) = -3*a**2 + 3*a + 11. Let d(r) be the first derivative of r**3\/3 - r**2\/2 - 5*r + 140. Determine p*b(n) - 7*d(n).\nAnswer: 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l + 4. Let p be i(-4). Let m(x) = 12*x. Let f be m(6). What is the highest common factor of f and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 5*v + 9*o = -18, 3*v = 3*o - 29 + 35 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**2 - t**2 - 8*t**4 + t - 4*t**2 + 13*t**4 to the form z*t**4 + m*t + u + i*t**3 + s*t**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18887 is divided by 4720.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 306, 1170, 2622, 4662, 7290?\n\"Answer: 294*r**2 - 18*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6217.56 take away -3?\nAnswer: -6214.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -7. Let s be 160\/z + 2\/(-9). Suppose -16 = -2*l + 2*v, -l = s*v - 0*v + 7. Solve 3*i - 20 = -u, 0*i + 10 = -l*u + 5*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18029 divided by -5\nAnswer: 18029\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 710255969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*p**3*s*y**2 - 27*p**3*y**2 + 259*s**2*y - 25*y**2 with respect to s.\nAnswer: -6*p**3*y**2 + 518*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - g + 1. Let n be y(-2). Let c(o) = o**2 + 6*o - 1. Let f be (3\/(-4))\/((-1)\/(-8)). Let m be c(f). Is n > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46677007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:28 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008132563 rounded to 5 dps?\nAnswer: -0.00813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 174014 + -579756?\nAnswer: -405742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 361046 and 467236?\nAnswer: 7943012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 2372 + 11024 = 0. What is the greatest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*k + 1516, 3*l - 1954 = 3*k + 2621. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w + 0*w)*(-110*w**2 - 3 + 41 - 30 + w).\nAnswer: -330*w**3 + 3*w**2 + 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 18*b + 708. Let c be g(-24). What is the highest common factor of c and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1179*n = 1061*n + 590 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdrq when four letters picked without replacement from {q: 3, r: 3, d: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/4*(800\/56 - 12). Suppose -3*z = -h + 20, -5*z + b*z - 22 = -2*h. Solve -5*y + 17 - 3 = f, 0 = 3*f + y - h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - 2.2000024. What is t rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -204, -785, -1742, -3069, -4760?\n\"Answer: l**3 - 194*l**2 - 6*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)\/f)\/((f*f\/((f\/(f**(8\/3)*f))\/f)*f)\/f))\/(f*f**2)**(2\/65))**(1\/2) assuming f is positive.\nAnswer: f**(-1253\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20235 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14773368 divided by 27.\nAnswer: 4924456\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.056 - 0.144. Is j less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 49. Let i = 1207391754.00000153 + -1207391737. Let w = s + i. What is w rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119.401254 + -1.595446. Let z = 121 + p. What is z rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 679616361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79.3 + 105. Let h = a + -24.7. What is the nearest to h in -4.3, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 25749*m\/4 - 794375.\nAnswer: -(m + 124)*(m + 25625)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (181*b - 93*b - 74*b)*(b**3 + 2*b**2 - 2*b**2) to r*b**3 + m*b**2 + y*b**4 + o + f*b and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, l: 5, y: 1}. Give prob of picking 3 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.35 (b) 2 (c) -1 (d) -3 (e) 117 (f) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 53. Let v be (33\/9)\/((-1)\/(-3)). Solve 3*s = -g*h - v, 9*h - 2*s - 1 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -33*n**2 - 464*n - 32. Let v be f(-14). Sort 4, -16, v, -2, 0 in ascending order.\nAnswer: -16, v, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2*f**5\/55 + 7*f**4\/11 + 32*f**3\/11 - 1529. Factor g(d).\nAnswer: 2*d**2*(d + 6)*(d + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 8 = 4. Let p(l) = -2*l + 1. Calculate p(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77002 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwq when three letters picked without replacement from {o: 5, c: 1, d: 1, v: 2, w: 1, q: 5}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + -24. Suppose 5*j + 2*i = 279, -2*i - 2*i - 102 = -2*j. Let d = 70 - j. What is the remainder when o is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (39 - 6) + 0 + 1. Suppose -g = -5*b + 3*b. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 23122, -1, -5, -2 in decreasing order.\nAnswer: 23122, 3, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 c, and 1 u when three letters picked without replacement from jwpvccuvcwpv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -127 (b) -3 (c) -130 (d) -0.1 (e) 1 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-4)\/2 + 2). Suppose 4*n = n - 3*w + 15, g = n + 3*w - 7. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 14392 = -12*r, 5*p - p = -2*r + 2406. Calculate the least common multiple of r and 1199.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 503260 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from kbbkkvbbbbbvvvvbk.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-15 + (-5 - -4) + -10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 9*d**2 - 316*d + 3323. Calculate f(14).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64\/(-60)*-35*192.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -63 - 141. Calculate the greatest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.80266ng to micrograms.\nAnswer: 0.04780266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.87 and -168.1?\nAnswer: 314.347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -5 (b) -3\/4 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-16)*i*i**25)\/(i**29*i*i\/(i*(i**(15\/4)*i*i*i*i)\/i)) assuming i is positive.\nAnswer: i**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 30 = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -4738, -13153, -25596, -42061, -62542, -87033?\nAnswer: -115528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*n + 3 = 0, y + 6 = -4*n + n. Suppose -x - 66 = -2*p + y*x, -96 = -2*p - 2*x. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 5:13 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6475728 and 6146.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8727 (base 16) in base 2?\nAnswer: 1000011100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58764949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1129*o**3 - 409*o.\nAnswer: 6774*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -9 - (43 + -47)) + 108. Calculate the highest common divisor of 120 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 9536?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213330 (base 4) to base 11.\nAnswer: 1a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 - -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) - 1*sqrt(132))*5)\/sqrt(12)*6 + 3.\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -4 + 14 + -3 - (1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(204)*6 - -6*sqrt(204)*1))\/((sqrt(528)\/(sqrt(33)\/sqrt(3)))\/(sqrt(20)\/sqrt(5)*1)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/15 + 5*n**5\/3 + 11*n**4\/6 - 8*n**3 + 16*n**2. Factor r(a).\nAnswer: 4*(a + 1)*(a + 12)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160341002 or 160341008?\nAnswer: 160341002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 20*i = -2*d + 2602, 0 = 2*d + 5*i - 2593. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -1\/252*n**6 - 1\/105*n**5 + 0*n + 1\/84*n**4 + 0*n**2 - 3 + n**3. Let a(l) be the third derivative of i(l). Factor a(g).\nAnswer: -2*(g + 1)*(5*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*g - 914*g - 2189 - 2189 - 2190 + 6568.\nAnswer: -657*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 + 4*f - 48 = 0?\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34240189 and 15332?\nAnswer: 3833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -28, -88, -49\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -863*g - 4 + 4 + 0 + 8414*g to the form t*g + f and give t.\nAnswer: 7551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-11) - (-244488)\/1342. Solve x = -h + 184 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 3:34 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5\/988 + -27609\/10868. Let x be (-7 - (-6 - -4))\/(-1). Suppose x*f - 2*w + 15 = 0, -5*f - 5*w = 14 + 1. Which is greater: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -556 (base 10) to base 8\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.759 + 0.081. Let g = c + -0.44. Let t = -0.4 + 5.4. What is the closest to 0 in t, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 71 + 50 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -548665.\nAnswer: -54866.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3585 and 9288?\nAnswer: 11099160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5003 - -1?\nAnswer: 0.4997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36793, 147169, 331135, 588691?\nAnswer: 919837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -551274866 rounded to the nearest one hundred thousand?\nAnswer: -551300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -306 - -303. Let b be 3\/(4 + -1 - r). Let 1\/2*u**2 - b*u**4 + 0*u + 0*u**3 + 0 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55382417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 equal to 0.002693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*r**3 + 6\/7*r**2 + 4\/7*r + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 4*v**2 - 2*v - 2*v**2 + 26 - 2 + 31.\nAnswer: 2*v**2 - 2*v + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + h = -48, 64 = 3*m - 2*h - 75. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04711 * -83.\nAnswer: -3.91013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -1853*b + 1. Let m(x) = 2*x. Calculate u(m(q)).\nAnswer: -3706*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c + 533. Let r(v) = -8*v - 542. What is -2*r(z) - 3*t(z)?\nAnswer: -2*z - 515","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40211804 divided by -170389.\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1949\/13643 - 4\/((-299)\/(-95) - 3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15648961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Let v(m) = -8*m. Let w(k) = k. Let l(o) = -o**2 - 13*o - 17. Let c be l(-12). Let z(i) = c*w(i) - v(i). Calculate z(a(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 43948?\nAnswer: 17\/21974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -2\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nma when three letters picked without replacement from {u: 1, n: 1, j: 1, i: 2, a: 1, m: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2541) - sqrt(2541)*-1) + sqrt(2541))*4 - (sqrt(2541) + -1*sqrt(2541))*6)\/(sqrt(27)*-3 - sqrt(9)\/sqrt(3)*-1))**2.\nAnswer: 7623\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*r - 13 = 11, 2*w - 2*r = -6. Let n(q) = -q**2 - 11*q + 4. Let d be n(-11). Solve -3*l + d = -3*x - 8, x = -w*l + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5679\/3838 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 2. Let p be s(5). Let t(d) = d**3 - 2*d**2 - 5*d + 4. Let j be t(p). Calculate the remainder when 29 is divided by -1 + j - -12 - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -9*m + 37. Let x = 277 + -1097\/4. Is x less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -679 + 13577\/20. Is 0 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(351) + sqrt(351)*1 + sqrt(351))\/(-3*(sqrt(132)\/sqrt(4))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n - 3. Let t be j(0). Let c = 1114\/7 + -5809\/42. Calculate the common denominator of (-234)\/(-27)*t\/(-20) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 + 4*f**3 + 19*f - 48*f + 28*f to the form t + l*f**3 + k*f**2 + m*f and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 523 (b) -1\/122545 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 6. Suppose j - 5*r + 12 = 0, -2*j - 4*r = 2*j. Let v(s) = -s**2 + 10*s - 7. Let p be v(9). Let g = p + j. Determine w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 4854848\nAnswer: 38838784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9072 and 2997?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -5, -4, 752, 130, -10 in decreasing order.\nAnswer: 752, 130, 5, 4, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:14 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p + c, 5*c + 4 = -p + 20. Let g be -2 + 1 + (p - -2). Let f(h) = h + 1. What is the units digit of f(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = 3. Let k(x) = -84*x**2 + 94*x**2 + 120*x**2 + 3*x + 2. Is k(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let m(f) = -1227 + 409 + 410 + 10352*f + 408. What is u(m(x))?\nAnswer: -10352*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7774 is divided by 518.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 286*l - 703. What is the thousands digit of s(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(117)*-2*2 + sqrt(117))\/(-1*sqrt(324)) - (3*(-2 + sqrt(832))**2 + 0)).\nAnswer: -2508 + 193*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 19*g**2 - 555*g - 46. Give t(29).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3))**(-2\/53)*(w\/w**0)**31*(w\/(w\/(w\/((w\/(w**5*w)*w*w*w)\/w)))*w*w**0\/w*w)\/(w**(-7)\/w**(-2\/3)) assuming w is positive.\nAnswer: w**(6727\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*b**4 - 5*b**3 + 43*b**4 + b**2 + 4*b**3 - 7*b**3 to the form j*b**4 + h*b**3 + o + k*b + m*b**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 105918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z - 9. Calculate q(8).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 3*u**2 + 6*u + 9. Let s be o(-2). Is s bigger than -1\/1647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 113. Let d = j + 73. Let l = -21 + d. Which is the third biggest value? (a) -5 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15745 and 26063.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -86*f - 864. Determine p(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - -2) - (1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a - 9. Let m(c) = 4*c + 5. Let z(i) = 5*m(i) + 3*n(i). Differentiate z(f) wrt f.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2552 - 3?\nAnswer: 2549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.152 + 0.248. Sort h, -1\/9, -5 in ascending order.\nAnswer: -5, -1\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*t + 32. What is the remainder when 4\/t - 5\/(175\/(-2365)) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g + 9*g + 23*g + 11*g - 52*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.172235 decades?\nAnswer: 0.6172235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v + 1\/6*v**3 + 3*v**2 + 0 + 1\/24*v**4. Suppose -p - 1 = 0, -3*x + 5*p + 3 = -14. Determine s(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/7 - 4*i**3\/7 - 11*i**2\/7 - 6*i\/7.\nAnswer: i*(i - 6)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 181*a - 98. Determine c(-91).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150825, 150826, 150827, 150828, 150829?\nAnswer: 150830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14313739, 28627480, 42941221?\n\"Answer: 14313741*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, k: 8, i: 5, v: 2}. What is prob of sequence vi?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1231 and 4962.\nAnswer: 6108222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 4*g = 3*s - 4, 6*s + 6*g + 14 = 32 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -879 in -1, 2\/15, -0.18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*n + 2, -2*r + 7*r + 3*n - 10 = 0. Let k(i) = -i**3 + 6*i**2 + 8*i - 1. What is the lowest common multiple of r and k(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - b + 3. Let m be -1 + (-3 - 0)\/b. Suppose m*t - 5*t = -210. What is the highest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -1543*t**4 - 437*t**4 - 2930*t**2 - 160 - 497*t - 405*t**5 - 3545*t**3 - 623*t = 0?\nAnswer: -2, -1, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**3 + 205*w**2 + 54*w + 155. Give o(-51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 72*b**3 - b**2 - 10*b + 32. What is c(2)?\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1354 and 49009384.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81807)\/(-1340) - 61)*1*55.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s - 5*s. Suppose 4*m + 2*o - 48 = s, -m + o = -11 - 7. Calculate the highest common divisor of m and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**6 + 3*c**5 - 480*c**3 + 170*c**2 - 4*c + 2.\nAnswer: -240*c**3 + 180*c**2 - 2880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 - 671804*l\/3.\nAnswer: 2*l*(l - 335902)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 4*v + 4. Let c(a) = -2*a - 17 - 20*a**2 + 0 + 17*a**2 - 15*a - 9*a**2. Determine -2*c(m) - 9*g(m).\nAnswer: -3*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 - 13*g**2 + 21*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -4*m + 22 + 3, 5*m - 53 = y. Let z(w) = m*w - 11*w + 3*w. Let t(x) = -5*x**2. What is t(z(q))?\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 177, -0.1, 0.5?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.7 + 3.8. Let f = 6.8 - 11.9. Let u = x + f. What is the smallest value in 5\/6, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4030 + 185 = 5*u. Suppose 0 = 25*q - 14*q - 33. Suppose -i - q*d + 399 = i, 4*i - u = 3*d. What is the greatest common divisor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*o = 20320 - 562 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 - -3) + (2 - 1). Suppose -7 = 2*t - m. Suppose -t*p + 61 = 1. Solve -r = 2*r + p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1610738901439 - 1610738901439 + 79*i**3.\nAnswer: 79*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrrrrrnn?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + d + 3, 79 - 94 = 3*k + 5*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 = 7. Suppose -4*x - 62*d = -66*d - 108, d + 147 = 5*x. Suppose -18 = -3*r + 3*w, -w + x = 5*r + 3*w. Solve r = -c + k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14085507, -14085513, -14085523, -14085537?\nAnswer: -14085555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1538546 + 4?\nAnswer: 1538551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1018 and -26\/527?\nAnswer: 536486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -3, 193, 1, 4\/17, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 878036 and -0.0582?\nAnswer: -51101.6952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let a(l) = 6*l**2 - 5*l. Give a(q(d)).\nAnswer: 24*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11. Let g(l) = -13065*l - 42. Calculate -g(z) + 4*s(z).\nAnswer: 13065*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 56 + 10 = -5*k - 10*k, -16 = -2*k - 4*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -278381230*t**3 - t + 235639854?\nAnswer: -1670287380*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97075817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -110\/9*j**3 - 106\/9*j**2 - 8\/9 - 10\/9*j**5 - 6*j**4 - 16\/3*j = 0. Calculate j.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22985*a**6 - 204*a**2 - 16.\nAnswer: -2758200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*28679.56.\nAnswer: -114718.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c**2. Let b(d) = -2*d**2 - 3*d + 9. Let q(r) = 5*r**2 + 10*r - 30. Let o(w) = 10*b(w) + 3*q(w). Determine o(j(l)).\nAnswer: -720*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*g + 5*g - 188, 2*g = 5*t + 92. Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4\/(-24) - (-6 - 5416\/(-912))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101980420*h**4 + 65440636*h wrt h?\nAnswer: -1223765040*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) + (-13)\/(-4). Let w be -1*l*9\/(-9). List the prime factors of 2\/w - 301\/(-21).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + 31*y - 437. Calculate m(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1441*v**4 - 33*v**2 - 33*v - 616. Let j(z) = -180*z**4 + 4*z**2 + 4*z + 77. Let h = 203 - 207. Let r(f) = h*a(f) - 33*j(f). Differentiate r(n) wrt n.\nAnswer: 704*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w**7\/w))*w**25\/w assuming w is positive.\nAnswer: w**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 1734240?\nAnswer: 1734240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3635\/3 + 1200. Let l = i - -12. Which is the smallest value? (a) 4 (b) l (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + (6 - 9 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*t - t - 156, a - t = -66. Let n = -67 - a. Calculate the least common multiple of 7 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4, 5*t + 4067 = 3*n - 1827. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2116 and 0.034.\nAnswer: -71.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/9*-3)\/(15\/(-21))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 89. Suppose -w*c = 3*d - 14*c - 25, 2*c + 18 = 2*d. Suppose -9*j - 21 = -d*j. Calculate the least common multiple of j and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**5\/9 - 62*j**4\/3 + 764*j**3\/9 - 1156*j**2\/9 + 86*j - 194\/9 = 0.\nAnswer: -97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -712 - -707.89. Let s = b - -4.4. Let r = -0.7 + s. Round r to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = s - 3 + 5, -3*h = s + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -572.62 to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2823 and 0.4?\nAnswer: 1129.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in 0.1, 0, 2\/15, 4\/5, -0.074?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (3 - (-7 - (-3 - -3 - 6)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 1. Let i(u) be the third derivative of -7*u**4\/24 - 3*u**2 - 2. Give i(c(a)).\nAnswer: -14*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392\/(-112) - (-475)\/10 and 1448?\nAnswer: 15928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*v + 169. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -22. Let t(y) = -5*y - 1 - 3*y - 6*y. Is t(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051*i - 2706 = -1174*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {i: 1, n: 8, q: 8, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -13. Suppose 12*b + 24 = -0*b. What is the smallest common multiple of g and ((140\/21)\/(-5))\/(b\/12)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 16*u - 1. Let k(h) = 3*h. Let f(g) = 11*k(g) - 2*p(g). Let l be f(-2). Let x = 5 + -3. Solve l*y + x = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -2 - 3 - -8. Suppose -f*g + 11*g - 15 = 0. Suppose 228 = g*h + h. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3219 in -0.5, 0.3, -2\/4537?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/7)*y\/y**(-1\/10))**(-25))**(-39) assuming y is positive.\nAnswer: y**(7215\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -245 (c) -46\/13 (d) 0 (e) -2\/7 (f) -5 (g) 11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8000816 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -362*u**4 - 256.\nAnswer: -1448*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-4)\/(-18)). Let f(c) = -c**3 + 5*c**2 + c - 3. Let t be f(5). Solve t*j = j + b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1267.64484 and -91477.\nAnswer: -92744.64484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 5*v + 6. Let z be 17 + -11 + -2 + 0. Suppose 0 = -z*a + 3*f - 4, f + 4 = a - f. What is j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 - -1252. Let w(v) = 1343*v + k*v - 974*v + 914*v - 4. Let x be w(12). Round x to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11003 is divided by 1084.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267783595 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2488 - -2472.49. Let p = -16.3 - d. Let h = 0.03 - p. Round h to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2118 - 2110. Sort -0.26, c, -3 in descending order.\nAnswer: c, -0.26, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/270471 and -143\/1068?\nAnswer: 1081884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-318)\/54 + (-1)\/9)*-2. Let u = 70 + -68. What is the smallest value in 5, z, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g*g)\/g)**41*(((g*g\/(g**(-7)\/g*g))\/g)\/g*g)\/g*g*g**7 assuming g is positive.\nAnswer: g**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/908279 and 47\/545782.\nAnswer: 121709386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2307, 4642, 6973, 9300, 11623, 13942?\nAnswer: 16257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 <= 5\/328472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 839 - 844 - 3*r)*(-5 + 5 - 2*r**2).\nAnswer: 6*r**3 + 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(3\/(-382)))\/(4\/6). What is the tens digit of (3\/12*i)\/((-6)\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) -4 (b) -13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -204390 (b) 2\/153 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 + -33. Let h be 22\/(-20)*(1 + -35). Let x = h - v. Put 0.3, -4, x in increasing order.\nAnswer: -4, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - 0.9. Let d = u + 0.8. Which is the closest to d? (a) 1\/4 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3427*n**3 - 1483*n**2 - 155*n**2 + 10*n**2 - 1937*n**2 + 484*n**3 wrt n?\nAnswer: -17658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(9) - (-5*sqrt(81)\/sqrt(9) - sqrt(9))))\/(sqrt(3) - sqrt(432)*3).\nAnswer: -8*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/9 - 8178244*z\/3 + 24534768.\nAnswer: -4*(z - 9)*(z + 6133692)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2217*n**2 - 10551*n**2 - 4310*n**2 + 8*n - 8*n.\nAnswer: -17078*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.695 to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2022?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 6122 + 6131. Suppose -2*p + 7 = -5. Sort p, -10, d, 3 in increasing order.\nAnswer: -10, d, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - y - 24*a + 8 = 0, 6*a = -y + 1169 - 1159 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/72 + (-897)\/27*-1. Let c = h - 37. Put 3, 0, c in descending order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/3))**(1\/77)*(k*k\/k**(-1\/3))\/k*(k\/k**(-4\/9))\/k assuming k is positive.\nAnswer: k**(1244\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13478116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 48. Let q be x(-7). Suppose 1515 = q*g - 2191. Calculate the remainder when g is divided by 36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -4*n**6\/15 - n**4\/3 - 12*n. Find the third derivative of f(z) wrt z.\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65141505 by -3.\nAnswer: -21713835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1593.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006303839 rounded to six dps?\nAnswer: 0.006304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + (6*sqrt(136)*1 - ((sqrt(136) - -2*sqrt(136)*3) + sqrt(136)))\/(sqrt(128)*-5*-2))**2.\nAnswer: 17\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**2 + 21*u + 48824. Let t(g) = 3*g + 2*g - 6*g. Give z(t(b)).\nAnswer: -2*b + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**4*w - 3*p**4 - p**3*w + 3*p**2*w - 132 wrt p?\nAnswer: -120*p*w - 72*p - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 3*f**2 + 3*f**2)*(-12456*f**3 + 2860*f**3 + 1909*f**3).\nAnswer: -15374*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -1822, -2785, -3794, -4849, -5950, -7097?\nAnswer: -8290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 671 - 1133. Let x = 221 + c. Does 0 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z + 2 - 1 + 4. Let o = -1546 - -1606. What is the remainder when o is divided by q(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:45 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -252 (b) 6 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1580.607 hours?\nAnswer: 5690185200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4239 + -4363 + (18 - (-3 + 2)) + 22?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 + 5*s**2 + s - 3. Calculate i(4).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. Suppose 5*c - 2*r = 2*c + 30, z*r = -4*c + 40. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 + 3*i**5 + 3*i**5 + (-5 + 4 + 2)*(0*i**5 + 3*i**5 - 4*i**5) + (-2 + 2*i + 2)*(6*i**2 - 5*i**2 - 4*i**2)*(0*i - i**2 + 0*i).\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 311 and 61.\nAnswer: 18971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523021?\nAnswer: 523021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 333 + -229. Let i = 305 + f. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1275626*y**3 + 780097*y.\nAnswer: 7653756*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, -33225, -1, -2 in descending order.\nAnswer: 18, 2, -1, -2, -33225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20488 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*d + d. Solve -2*n + d*h + 7 = 0, -2*n + n = -4*h - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + 3*n, 5*c + 5*n - 34 = 11. Suppose -194 = 2*u - m - 756, u - 303 = -c*m. Does 32 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-13))\/(20*4\/(-80))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 263483660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2137 - -2245. What is the remainder when 860 is divided by o?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089047971?\nAnswer: 11, 43, 967, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*w + 20, 16*w - 5 = 15*w + 3*g for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 1\/130*j**5 - 1 + 10\/13*j**2 - 5\/39*j**4 - 34*j - 1\/39*j**3. Factor m(o).\nAnswer: 2*(o - 10)*(o - 1)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - -5de05?\nAnswer: 5de1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 398, 671, 992, 1361, 1778, 2243?\nAnswer: 2756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1090473*k**4 - k**2 - 277097?\nAnswer: 26171352*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1535533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3152 and 3940.\nAnswer: 15760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 9*b + 2. Let s be v(9). Suppose 4*y + 6 = 7*y. Let f(m) = 4*m**3 - 3*m**2 + m - 2. Let a be f(2). Solve s*t = -y*t - a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*r + 261*r = -855. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.32292154196 + 16.87707892504. Let d = t - 17.2. What is d rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**4\/12 + 6*v. Let u(m) = -1569 + 1569 + 14*m**2 - 3*m**2. Determine p(u(r)).\nAnswer: -121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 23 - 52. Suppose -147*l + 130*l = -153. What is the remainder when n is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8)*4) + (-3*sqrt(14))\/sqrt(2).\nAnswer: -11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45451, -47082, -48713, -50344?\n\"Answer: -1631*f - 43820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -46\/5, 3, -2, 91, -3.7, 0.4, -3\/13?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.9 and -4629.6675.\nAnswer: -4626.7675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (32 + -26) - (-63 + -20)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2928 and -1\/3904.\nAnswer: 11712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciicic. What is prob of sequence iic?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 5. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/7785696 and 33\/8.\nAnswer: 7785696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -4. Let f be -1 - 0\/v - -4. Solve -2*w = -f - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + q - 190 + 188 = 0, 18 = -18*i - q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u - 437*u + 11*u + 17*u + 372*u + 14*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -34*f**3 - 8*f**2 - 4*f - 3. What is a(-2)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 14*w + 11. Let l(s) = -s**3 - 5*s**2 + 5*s + 10. Let n be l(-5). Let z be o(n). Let x be 3*((-20)\/5)\/z. Solve -x*m = -1 + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/28 and 23\/1584?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**5\/5 + 128*t**4\/5 - 148*t**3 - 4472*t**2\/5 - 6192*t\/5 - 2592\/5 = 0.\nAnswer: -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191084, -381700, -572322, -762950?\nAnswer: -953584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42166 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**2 - 388*b - 254. Let m be i(-64). Solve -5 = 2*v + 3*j, -6 = -5*v + 13*v - m*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 23 = -r + 5*q, -2*q + 10 = 0. Let c = 5 - 3. Calculate the remainder when (31 - (c + -1))*1 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4\/(-12) - (-4)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4*v, 0 = -5*v + t + 1 - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**5\/10 - 23*m**3\/2 - 2*m**2 + 14. What is the first derivative of v(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.015957076317 - 491.015956274317. Let m = 491 + l. What is m rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113022881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 3. Let s be x(0). Suppose -s = -k + 2. Suppose -20*b + 13*b = -43*b - 72. What is the second smallest value in b, 1\/7, k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0*l**3 - 15 - 1\/120*l**6 + 0*l - 17\/30*l**5 + 13\/105*l**7 + 0*l**4 - l**2. Find the third derivative of y(q) wrt q.\nAnswer: 624*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013208 rounded to seven dps?\nAnswer: 0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = -4*t. Suppose -4*x + 2 = -2*x, 0 = -3*o - t*x + 94. Suppose 0 = 2*f + o - 160. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46268 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**6\/60 - y**4\/6 - 6*y**2. What is the second derivative of x(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 + 88)\/(-5605)*-20?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmccttccjcdt. What is prob of sequence mc?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -21\/206 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {i: 4, a: 5, d: 2, r: 2, v: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18583750*j**3 - 4*j - 1248294?\nAnswer: 111502500*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*2\/(-6)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(2784\/(-54)))\/((-33)\/(-44))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 = -5*q + 65, -4*q + 49 = l. Let h = -24 + 1. Let a = h - -33. Calculate the smallest common multiple of q and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 1 = -7*s + 3*s - 7*v - 9, 0 = v + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*u - 1)*(13 + 14 + 19).\nAnswer: -92*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.8625 + -8.852. What is h rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 1) + 8\/(-4). Let h(k) = k - 2. Let v be h(4). Let n be (-8)\/10*(-5)\/v. Is n > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 0, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 less than 9389.7812?\nAnswer: 9388.4812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4941900?\nAnswer: 2, 3, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8137442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 - 111 = 126*x. Calculate the greatest common divisor of 157 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 644*h + 1968.\nAnswer: -4*(h - 3)*(h + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 247750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 4*w - 5*m, 21*w = -3*m - 243 + 174 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16221855 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*g = 7*c - 9, 19 = 3*c + g. Suppose -3*h - 118 - 226 = 4*i, c*h - i = -604. What is h rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 0.1 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*h = 5, 5*u + 0*h - h + 25 = 0. Let a = u + 10. Let d = a - 9. Is -4 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694122.4ms to microseconds.\nAnswer: 694122400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -3*c + 33. Solve 24*g = 27*g - c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 117?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12150341 (base 6) to base 12\nAnswer: 1683b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*p**4 - 237161*p**3 - 160233549 wrt p?\nAnswer: 64*p**3 - 711483*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6500478143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35382, -34169, -32946, -31707, -30446?\n\"Answer: c**3 - c**2 + 1209*c - 36591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/14*(-8)\/10. Suppose m*q - 17 = r, q + 2*r - 13 = -2*r. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2145, 2124, 2105, 2088?\n\"Answer: y**2 - 24*y + 2168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u + 3*u = 0. Suppose u = -2*g - 7 + 37. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72263 is divided by 203?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(48\/(-88)) - 11) + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*f - 2*w, 7*f - 4*f = -3*w - 3. Suppose 5*l + 4*a = -200988, -18681 + 99072 = -f*l - 3*a. Round l to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 + 93. Suppose -7*k + c + 1644 = 0. Suppose -283 = -7*o + k. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*f + 108*f + 101*f.\nAnswer: 138*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.2, -18, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432326636.\nAnswer: 2, 7, 15440237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57864119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 12. Let q be (4\/6)\/(112\/21). Which is the fourth biggest value? (a) 0.1 (b) q (c) w (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + 144 + -218 + 119.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18975346619 - -18975346404.59993174. Let v = c - -214.4. Round v to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3629331 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4\/3 - 364844*s**3\/3 - 486444*s**2 - 1824148*s\/3 - 729656\/3 = 0.\nAnswer: -91207, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 17, s: 2}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -31. Let y be 0 + t + 6*(-2)\/(-3). Suppose -y*z + 8 = -z. Which is smaller: 14\/9 or z?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13130022 (base 4) to base 5.\nAnswer: -1433344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.60457 milligrams to tonnes.\nAnswer: 0.00000002360457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2*w**2 + 5*w + 11. Let h(m) be the second derivative of -m**5\/20 + m**4\/12 - m**3\/2 - 3*m**2 - 2623*m. Give -5*h(a) - 3*t(a).\nAnswer: 2*a**3 + a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(2 - (-2)\/(-3)). Suppose -6 + 60 = 9*o. Suppose -8 = -f - o. Sort -5, f, t, -1 in ascending order.\nAnswer: -5, t, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 19 - (6 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/84 and -71\/1925868?\nAnswer: 1925868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 2\/19, -1\/7, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1590968 + -2404968. What is g rounded to the nearest 10000?\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4483*k**4 - 6379*k?\nAnswer: 53796*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 176583356*t\/3 + 58861118.\nAnswer: 2*(t - 88291677)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 304246373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (598\/(-39))\/(1183\/(-507)).\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -316 - -334. Let v(a) = -a**3 - 3*a**2 + 2*a. What is the least common multiple of v(-4) and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 5*s. Suppose 36 = -5*m - 4*u, 4*m + 5*u + 28 = -8. Let n be j(m). Solve -n*y + 25 = -3*r, -4*y = r - 3*r - 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 0*y**2 - 4*y + 2*y**2 - 2 - 3. Let p(s) = -s**2 + 3*s + 4. Let w(d) = 4*a(d) + 5*p(d). Find the second derivative of w(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 57*r**4\/2 - r**3\/3 + 464*r + 1918. Find the first derivative of l(c) wrt c.\nAnswer: 342*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1004, -5, 4 in increasing order.\nAnswer: -5, 3, 4, 5, 1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 12. Let s be v(-10). Let f be 704\/10 - s\/(-5). Suppose 4*t + 2*q = -t + 76, t = 2*q + 8. Calculate the greatest common factor of f and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + x = -w + 29, 3*w + 3*x = 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -89\/6 != -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 17*y - 20*y - 19, 6 = -y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a centimeter in millimeters?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**4 + 125*j**3 - 6*j**2 + 26*j?\nAnswer: 96*j + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*w + 720 + 320, 3*q + w = -799. Let u = -253 - q. What is the greatest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 541*w**5 + 5125*w - 5737*w**5 - 1769*w**5 - 2*w**3 + 2*w**3 wrt w?\nAnswer: -139300*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d2 - 6?\nAnswer: -1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-43 - (8 - -24)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -680 + 833. Let n = 364 + -228. Calculate the highest common divisor of y and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*c**4 + 2\/11*c**5 + 10\/11*c**2 + 0 - 4\/11*c - 6\/11*c**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49468, 98935, 148402, 197869, 247336?\nAnswer: 296803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -2. Which is greater: y or 132\/13?\nAnswer: 132\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 5 in increasing order.\nAnswer: -15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1921, 1930, 1945, 1966, 1993?\n\"Answer: 3*q**2 + 1918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1945.001251 + 1945. Round d to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*u - 4. Which is the nearest to 0? (a) u (b) -7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iidddddiiiidqiidddd. What is prob of sequence id?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3328452 and 1109484?\nAnswer: 3328452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 5*s - 41*o + 37*o, 4*s - 5*o = -46 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + (-220)\/(-35))*14\/(-6). Solve 4*g + 4*k + 24 = 0, -2*g = -s*k + 2*k + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3313971*w**6 + 6499472*w**2?\nAnswer: -397676520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -48. Let x = 38.66 + f. Let n = x + 0.04. What is the second biggest value in 0.1, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -351.82 - -350.37734. Let n = 4 + -5.44. Let m = n - l. Round m to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 5*t**2 + 4*t - 5. Let u be y(-6). Let p = u + -6. Suppose 7*i - 30 = 4*i. What is the highest common factor of p and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 3012.2, 1.2 in increasing order.\nAnswer: 1.2, 3\/2, 3012.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*m + 2*m**3 + 1299*m - 432*m - 438*m - 4*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2. Let j(n) = -3*n**2. Let r(l) = 3*j(l) + 3*v(l). Let s(b) be the first derivative of -b**2\/2 + 124. What is s(r(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0475 or 0.3?\nAnswer: 0.0475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6419 + 141151\/22. Calculate the common denominator of h and (13\/10)\/(8\/10).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 3. Let o be a(-3). Let k = 37 + o. List the prime factors of k\/11 - (-10)\/55.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfsssffsfssasssfffs. Give prob of sequence ss.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -36. Let n = 19.08 - b. What is n rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzfz when four letters picked without replacement from {z: 4, f: 4, k: 6}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18283429823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/3 (c) -12562 (d) -2\/23 (e) -0.5 (f) -5 (g) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.9 (b) -4\/3 (c) 2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 3 (c) -1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134517 is divided by 87?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.2 rounded to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373437716?\nAnswer: 2, 93359429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiaiaiiiiaaaaiaaiai. What is prob of sequence ii?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 23*q - 224. Let r(c) = 36*c - 335. Calculate -8*o(a) + 5*r(a).\nAnswer: -4*a + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from epvvbrvavrarvevevv?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*x - 23*x + x**2)*(x + 2*x - 4*x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*v + 868 = -671, 5*v = 3*z - 2321. Let h(j) = j**3 - 66*j**2 - 66*j + 31. What is the remainder when z is divided by h(67)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4437 + -21?\nAnswer: 4416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -37397*i**2. Let g(l) = -2*l. What is c(g(r))?\nAnswer: -149588*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 7*g**2 - g + 5. Let t = -75 - -102. Let j = -27 + t. Suppose j = 5*f + 92 - 127. What is w(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1574 - 1569. Let a = 1 + 3. Suppose 0*r - a = 4*r. Sort 2, r, -5, g in increasing order.\nAnswer: -5, r, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1241 + 15\/((-24)\/(-8)). Let y = -590 + d. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 196 = 2*d - p, -3*d + 299 = p. Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50410249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -405, -364, -297, -198, -61, 120, 351?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:38 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*1\/1*82\/(84296\/(-4883)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -259*o - 777. Let a be u(-15). What is the highest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*(41\/(902\/88) - 52\/7). Solve -t*d = 66 - 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 9334.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15659 = 2*t + s, -6*t + s = -10*t + 31315. Suppose t = 90*y - 52*y. List the prime factors of y.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 4, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 486951837 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**5\/60 + f**4\/24 - f**3\/3 - f**2\/2 - f. Let r(t) be the first derivative of g(t). Factor r(d).\nAnswer: (d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m - 3. Suppose -2*i = i - 5*j + 27, -j = 0. Let u = -11 - i. What are the prime factors of o(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(833) - -1*sqrt(833)))**2 - sqrt(833).\nAnswer: 133*sqrt(17) + 3357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2184 + 1760 = -231*f + 591 - 2884 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 3:54 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 9*u + 8 = 9*u + 2*a, -7*u - 9 = a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 7:38 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - 2*n**3 - n**4 + (2*n**3 + n**3 - 4*n**3)*(2*n - 3*n - n).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2997 and 96066?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/24)\/(11\/(-1518)). Is 142*(-7 - x\/(-10)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, -28, 0, 5, 3, -466 in descending order.\nAnswer: 14, 5, 3, 0, -1, -28, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, 4, 0.5, -1085?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3 - 5 + 3*t**2 + 2 + 7*t + 1. Is r(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438 + -42. Calculate the highest common factor of 36 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -74, 2\/9.\nAnswer: -74, -3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = 0, 0 = 3*y + 4*x - 21 - 35. Calculate the least common multiple of y and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -36. Suppose -88 = -4*s + 8. Suppose -s = -j - j. What is the smallest common multiple of r and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 1)*(3*x + 2*x - 3*x)*(-3 + 3 + 4)*(-x**3 + 0*x**2 + 0*x**2) in the form m*x**2 + h*x**3 + z*x + r*x**4 + v and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, -0.2, 0, -3, -23 in increasing order.\nAnswer: -23, -3, -0.2, 0, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqbbvvvv. What is prob of sequence vvvb?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sslslssllsllllllsll. What is prob of sequence sl?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6*y**2 + 11*y**3 - 266*y - 4 + 264*y + y**4 + 0 as d + z*y**4 + l*y + j*y**2 + s*y**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b10 (base 12) in base 14?\nAnswer: -2684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0 - -3)\/6. Let g = -1 + 0.6. Which is the closest to j? (a) -2\/13 (b) g (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 17 - 2*c**3 + 17.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*f + 3 - 68*f + 142*f to the form l + h*f and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((836\/38)\/(-374))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 6267265*x**2 + 300820080*x - 3609806400.\nAnswer: 5*(x - 1253405)*(x - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 4*q = 41*t + 13 + 35, -3*q = 39 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 6, 35500, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.7 - -10.8. Let f = -5 - 0. Which is the third smallest value? (a) 1\/3 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k + 2 + 15 - 2*k + 3 as z + y*k and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2457, 2357, 2257?\n\"Answer: -100*j + 2557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.2. Let f = -2691.9 - -2692. Put 0.08, t, f in descending order.\nAnswer: f, 0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682*q + 1 - 1 + 727*q - 329*q.\nAnswer: 1080*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/630 and -31\/189.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -62*u + 11. Let i = -88 - -84. Let n be c(i). Suppose -5*x + 556 = -n. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343423279.\nAnswer: 343423279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 16*p - 6. Suppose 0 = -2*m - 4*a + 14, 0 = 3*m + 4*a - 7*a - 48. Let d(t) = 32*t - 13. Calculate m*q(f) - 6*d(f).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-10))\/(1\/(-10)). Let s be -3*c\/(-6)*6. Suppose -5 + s = 5*q. What is the remainder when 21 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 4:45 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z**3 + 62*z**2 + 448*z + 16. What is k(-5)?\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97*m*x**2 + 11929*m*x + 915457068*m - 27*x**2 wrt x.\nAnswer: 194*m*x + 11929*m - 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(12\/11)*m**(-7\/3)*(m\/(m**(-9\/10)\/m)*m)**(3\/4) assuming m is positive.\nAnswer: m**(2221\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29, -102, -219, -386, -609, -894, -1247, -1674?\n\"Answer: -n**3 - 16*n**2 - 18*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.052*18.\nAnswer: 0.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + 15 + 10 + 10 + -1 + -9 + 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 858, 5, -3 in increasing order.\nAnswer: -5, -3, 1, 5, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -211022020 (base 3) in base 6?\nAnswer: -203140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 72274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 3, k: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -222 * 5\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2624 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -1088 (c) 0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 77420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 2*b)*(-2 - 1 + 1) - 2*b + 0 + 0 - b - 3*b + b + (1 + b - 1)*(2 - 3 - 1) + 0*b + 2*b - 3*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-64))\/(6\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47056456*k**2 + 27183720*k.\nAnswer: -94112912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 275\/(-60) + 4 + -2*3\/(-8). Put 6, 40, r, 0 in ascending order.\nAnswer: 0, r, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179.43019 - 181.985. Round s to two dps.\nAnswer: -2.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*j - 7. Suppose 4*k + 3 = -3*m + 15, -2*m = j*k - 12. Solve m = -q + 2*i - 11, 2*q + 6 = 5*i - 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r**(-1\/27)\/r)\/r)*r*r)\/(r*r\/r**(-25))*(r**(-1\/3)\/r)\/r*r**35 assuming r is positive.\nAnswer: r**(316\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42 + 36 - 53)*(2*x - 2*x + x) as p*x + m and give p.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 2*s. Let a(j) = -143*j. Determine a(i(y)).\nAnswer: 286*y**2 + 286*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 12 = 2*w, -2*b - 40 = -4*w - 44 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 600, 890, 1328, 1926, 2696, 3650, 4800?\nAnswer: 6158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 7. Let r = 8 + -3. Let c(i) = -i - 5. Give r*k(a) + 7*c(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y**3))\/y*(y\/y**5)\/y)\/(((y\/(y**(-2\/23)\/y))\/y)\/(y**(1\/4)\/y*y)))**(1\/31))**7 assuming y is positive.\nAnswer: y**(-6335\/2852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3863?\nAnswer: 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-25))\/(56\/(5040\/(-54))).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*w + j + 5, -5*w + 2*j = -13. Calculate the remainder when 2*(-3)\/6*-1 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*w + 226 = 0, -2*w = 3*a + 3*w - 638. Suppose a = 19*f + 5*f. Solve -f = 5*z - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 - 1681915*a - 25228950 = 0.\nAnswer: -15, 1681930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**7\/840 + m**6\/120 + m**5\/40 + m**4\/24 + m**3\/3 + m**2. Let r(x) be the first derivative of y(x). Factor r(n).\nAnswer: (n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 7 = -105. Let l(r) = -r**3 - 7*r**2 + 3*r + 8. What is l(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 4. Let x be d(0). Let p be (105\/(-14))\/((-3)\/x). Suppose -5*t + p*t = -120. Do -26 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a7 (base 12) in base 13?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 < 1.241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2423\/246 + -2\/123. Let h(k) = 6*k + 89. Let n be h(-15). Calculate the common denominator of m and n + (186\/24)\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhjhclhcxczc. What is prob of sequence hjz?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/103 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/8 and -19\/34034790.\nAnswer: 136139160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + 2. Let c(v) = -17*v**2 - 9. Let t(k) = -2*c(k) - 9*j(k). Let m be 4\/8*-2 - -5. Let x(h) = -3*h + m*h - 7*h. What is t(x(y))?\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/105 and -74\/2235?\nAnswer: 15645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 5:07 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*i - 12 = 6*i, y + 3*i + 9 = 0. Let m be (-8)\/(-42)*1\/2. Let n = m - 79\/168. What is the nearest to y in 5, -3\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.017 - -0.983. What is the nearest to s in 2\/17, -4, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -597768183, -597768182, -597768181, -597768180, -597768179, -597768178?\n\"Answer: c - 597768184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*k = -446 + 179 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 7}. What is prob of picking 2 e?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 208, -2\/3, 0.17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 + 4*f**2 + 4*f + 17. Determine q(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4263198?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 185?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*t - 1 = -9, 4*n + 2*t - 352 = -276 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 0. What is the closest to -1 in 0.5, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11066 and 1208218.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*o**3*x - 32*o**2 - 2*o*x + 1918*o wrt o?\nAnswer: 258*o*x - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*m - 31, -124709*m + 18*z = -124707*m - 406 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -2. Let r be 3\/j*2 + 27. Suppose 0 = -0*p + p - r. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9857*l**3*n**2*r + 5*l**3*r + 189*l**2 + l*r - 2*n**2*r wrt l.\nAnswer: 59142*n**2*r + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -1\/5, -0.5, 4\/3, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22795, 54643, 107725, 182041, 277591, 394375, 532393?\nAnswer: 691645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -72, -131, -234, -393?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 3*o**2 - 5*o - 8. Let u be v(-2). Sort u, 3, -21 in descending order.\nAnswer: 3, u, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 534 * 98684\nAnswer: 52697256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 171*d**2 - 2765*d + 4668. Give w(-186).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -12. Let i be (7 - 1)\/(4\/7). Let h = o - i. Which is the closest to 1? (a) 0.1 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -27. Is a at least as big as 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - j**2 - j + 1. Let p be d(1). Let w(c) = -c**p + 2 - 2. Let g(q) be the first derivative of 5*q**3\/3 - 27. Give g(w(x)).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13666312*v**2 + 22408*v + 189 wrt v?\nAnswer: -27332624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 4*k + 3. Suppose 15 - 17 = 2*c. Let f be m(c). Calculate the greatest common divisor of 4 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 1, -5, -50295, 5.\nAnswer: -50295, -5, 1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -13, -14, -25, -52?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 7803 (b) -8\/41 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 8*r - 4. Let g be w(-8). Let x = g + 12. Let k be 21\/4 + (-1)\/4. Solve 3*l - 2 = 3*a + a, -k*a + l - x = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 515002 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2428*h**3 + 1247*h**3 + 1180*h**3 - 115.\nAnswer: -h**3 - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2467*c. Let h(i) = -133*i. What is h(u(r))?\nAnswer: 328111*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 2:48 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.1 less than -113215?\nAnswer: -113089.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.1? (a) 4 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679084, 679023, 678942, 678835, 678696, 678519, 678298?\nAnswer: 678027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 16. Let n be v(7). Sort -1, 3, n.\nAnswer: -1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -453941028*u**4 + 103*u**2 + 2*u + 487754?\nAnswer: -10894584672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*n - 72*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**3*q**4 + m**3*q**2 - 2592*m*q**4 - m*q**3 - 2*m*q**2 - m*q - 1307*q wrt q.\nAnswer: -96*m**3*q - 62208*m*q - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -718 - -1563. Let i = -516 + w. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54325 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(3) + -2) - sqrt(27)\/sqrt(81))**2 - (sqrt(3)*2 + -4 - (sqrt(3) + -1 + -4)))*4.\nAnswer: -172*sqrt(3)\/3 + 280\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -7*b + 2*b + 9445, 5*b = 2*q - 3806. What is q rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 320.8 - 320.6. Let q be 1\/(-3) - (-22)\/30. What is the third biggest value in 3, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-5)\/((-50)\/340) + -14 and 234?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331251 (base 7) to base 10.\nAnswer: -58101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 49*w + 5. Suppose 4*i + 12 = -8, 4*i = -3*a + 4. Let q(t) = 74*t + 8. Calculate a*y(p) - 5*q(p).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 2*x**2 + 0*x + (4 - 4 + 4*x)*(2*x + 2*x - 3*x) + 3*x**2 - 2*x**2 + 0*x**2 + (-x**2 + 3*x**2 - 3*x**2)*(-8 + 2 - 3).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6)*(-3)\/1. Let t(i) = -3*i - 1. Let s be t(-5). Let u = s + l. What is the lowest common multiple of 6 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 3*n**2 - n. Let d = -2 + -1. Let l be y(d). Suppose 6 = l*i - 0. Put i, 4, 3 in decreasing order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*r**4 + 532*r**3 + 446*r**2\/3 - 248*r\/3 - 24 = 0 for r.\nAnswer: -1\/3, 2\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-54)*(-1 - 5\/(-8))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let f = 3.012 - 0.012. Let l = f - 0. Sort l, -4, d in ascending order.\nAnswer: -4, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {t: 1, j: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -2001752?\nAnswer: -200174d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44820 = -1009*c - 86189 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/161 + ((-23)\/(-7) - 0). Let x(o) = 2*o**3 - o**2 - 4*o. What is the remainder when 261 is divided by x(d)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-2))\/(33\/(-66)). Suppose 11*s - 8*s = -3*h + 2970, u*s = 3*h + 4966. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 - -42 - (-3 + 1 - -12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556514376.\nAnswer: 2, 3, 11, 2108009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 3. What is i(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 657, 659, 661, 663?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1019749.07 to the nearest one thousand.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwwmmwwmwmmw. Give prob of sequence wwmm.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -0.90000071. Round v to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 4*h)*(5 - 3 - 3)*(-8 + 9 - 4).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8619331 rounded to two decimal places?\nAnswer: -4.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1433717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*r + 35309, -r + 13*z + 17622 = 8*z. List the prime factors of r.\nAnswer: 7, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 12 = 4*m, -3*x + 4*m + 12 = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*x**5 - 146031*x**3 - 340*x**2 - 25*x - 199 wrt x.\nAnswer: 2220*x**2 - 876186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.4 + -62.02. Let w = g + 6. Let d = w - -0.02. Is d equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 33 = -2*p, -q = 5*p - 4*p + 8. Let l(g) = -g**2 - 10*g - 1. What is the smallest common multiple of l(q) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -835 = -50*k + 915. Solve 5*c - k = -5*s, -15 = -3*c + 21*s - 22*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-697)\/(-51) + 12\/36. Put -3, 5, v, -5, -1 in increasing order.\nAnswer: -5, -3, -1, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36599250?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -382*s**7\/105 + 28*s**3 - 470*s**2. Differentiate a(v) with respect to v.\nAnswer: -3056*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 15 + 13 + 19*j)*(-5*j + j + 3*j).\nAnswer: -19*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (558\/(-564) + 1)*(-3)\/30. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-51)\/(-68) + (-362)\/(-8)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -12 - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {s: 1, x: 11, g: 7}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45354*o + 6176*o + 24282*o.\nAnswer: 75812*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25 + ((-3)\/6 + 0 - (-504)\/(-144)). Solve 5*q - 6*q + 7 = 2*y, 5*q = -3*y + h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14784 and 91692?\nAnswer: 112964544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 2.93\nAnswer: 1.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 39*y + 26. Let a(w) = -20*w - 14. Let u(z) = -13*a(z) - 7*l(z). Let f(n) be the first derivative of -3\/2*n**2 + 0*n + 6. What is u(f(d))?\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:26 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/((-1922)\/(-31)))\/(-2*3\/(-246)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Let a be 1\/6*4*s. Solve 10 = -f - 5*w, 0*f - w - 11 = a*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223\/36 - 43\/9. Let q = t - 5\/3. Let j be (3 + -1 - 3) + 0. Are j and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(-3\/2)\/c*c)\/c)\/c*c*(c*c**(-2\/17))\/c*c**(1\/5)*c**(-9) assuming c is positive.\nAnswer: c**(-1601\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, -4\/5, -1110?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 9 = s - 3*o, o + 12 = 2*s. Solve -s*i + 4 = -3*b, 15 = -4*b - 6*i + 3*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 94 = 4*q, 4*q - 123 = v - 14. Let i(d) = -2*d**2 + 6*d - 6*d + 3 + 9*d - 2. Let p be i(4). Solve 23 = -p*b + 2*u, u = -5*b - 0*u - q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/20)\/(9\/10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1000*r**2 - 989995*r - 4950.\nAnswer: 5*(r - 990)*(200*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1555*-18.3\nAnswer: -28456.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 817 and 65227?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8524536mm?\nAnswer: 0.08524536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5048 - 5063.322. Let i = z - -15.3. Let k = -4 + 4. Is i at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -323943 or -323840?\nAnswer: -323840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 18*h**2 - 23*h - 141. Determine v(-17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-4.086\nAnswer: -2.8602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10*5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6008, -6475, -7736, -10187, -14224?\n\"Answer: -66*j**3 - j**2 - 2*j - 5939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-99))\/(1\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 42. Let g(k) = -5*k - 6. What is the tens digit of g(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 18*v + 9. Let x be f(13). Let l = x + -40. Is l\/(-3*8\/(-156)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -3, 0.118, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1491 and 2936276.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10611 - -10143. Let b = f + 17915. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8932, 8934, 8936, 8938?\n\"Answer: 2*n + 8930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 617792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 4. Suppose w - 31 = -y, -5*y + 37 + 37 = 2*w. What is the remainder when w is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 3*m**2 - 4*m + 7. Let v(r) = 2*r**3 - 5*r**2 - 9*r + 13. Let w(u) = 5*o(u) - 2*v(u). Is w(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 0.83 in descending order.\nAnswer: 0.83, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from moldjmd. Give prob of sequence ldj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-60)\/(-68))*3. Let z = 52\/3 + k. Which is the biggest value? (a) z (b) -0.05 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, n: 1, v: 9, j: 1, c: 2}. What is prob of sequence jt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 13 - (5 + 18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = 110*h - 4*h - 472. Let q(n) be the second derivative of 0*n**3 + 1\/12*n**h + 0*n**2 + 0 + 19*n. Let j(m) = -28*m**2. Determine j(q(p)).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4660 and 18640.\nAnswer: 18640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14070?\nAnswer: 2, 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8))**(-1\/11)\/((k**(-2\/75)*k)\/k**(-2\/15)) assuming k is positive.\nAnswer: k**(-7079\/6600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1400*n**4 + 2*n**3 + 3*n**2 + 22*n - 39?\nAnswer: 16800*n**2 + 12*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 911, 2\/7, 0.2, -0.96?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - ((sqrt(204)\/(-3*sqrt(12)) - sqrt(17)) + sqrt(17))**2) + (sqrt(2448) - (0 + sqrt(2448))) + sqrt(2448).\nAnswer: -17\/9 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 398, 558, 806, 1148, 1590, 2138, 2798, 3576?\n\"Answer: r**3 + 38*r**2 + 39*r + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-12)\/(-10))*1*-42 - (-9936)\/(-24840)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = 2*d, -2*m + 0 - 2 = 0. Let p(v) = v + 8. Let l be p(-4). Suppose 2*o - 94 = -3*u, 0 = o + l*o + d*u - 257. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkrr when four letters picked without replacement from xkkrbkbbrkrxrebr?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6868332167 to the nearest integer?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 - -380 - (1 + -6) is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 9:41 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -12*y - 2. Suppose 5*l = y*z - 2*z + 286, 0 = l - 4*z - 42. Let g = -52 + l. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, -226, -830, -1762, -3022?\nAnswer: -4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 16*v**2 + 202*v - 26. Give m(24).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21562, -21546, -21518, -21478, -21426?\nAnswer: -21362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12074?\nAnswer: 2, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.121 (b) 4 (c) 0.3 (d) 0.4 (e) 2\/13 (f) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -133*y + 136*y. Suppose 0 = -o - 5, -11 = -y*b + 5*o - 1. Which is bigger: b or -67?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 28455\nAnswer: 14227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((32\/2)\/32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -187*a + 49. Let z(l) be the second derivative of 0*l**3 + 0*l**4 + 3*l**a + 0 - 19*l + 0*l**5 - 2\/3*l**6. Differentiate z(f) with respect to f.\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 21. Let w be v(6). Let s = -55 + w. Let x be (s + 20)\/(1 - -1). Is -29 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-306)*(-9)\/21.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3873 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 3068919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 4*d**2 - 3*d + 2. Let p be -3 + (-1)\/((-3)\/18). Let y be w(p). Solve -5*h + y*h = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - 0. Let h = 3.3 + z. Let p = h + -3. Which is the closest to p? (a) 1 (b) -4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117 or 1733?\nAnswer: 1733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(156)*1 - sqrt(156))*3 - sqrt(156)))\/(4*sqrt(12)*2 + sqrt(48)\/sqrt(4)*-4)*-1)**2.\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 327 * -376.23.\nAnswer: -123027.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-264)*(-55)\/(-30)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*k**3 - 28229 - 1021*k**3 + 505*k**3 + 2532.\nAnswer: -10*k**3 - 25697","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 39.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/((-756)\/(-474)))\/((-2)\/44). Let h = -2459\/77 + 1093\/11. Let w = x + h. Calculate the common denominator of 40\/11 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2174 + -3?\nAnswer: -2177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 208296104836019?\nAnswer: -208296104836018.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 44604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 50844, 50695, 50446, 50097, 49648?\n\"Answer: -50*b**2 + b + 50893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540506 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1547 (base 15) to base 8.\nAnswer: -10727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -4*m + 3*z + 7, 5*z = 3*m - 162. Suppose m = 7*y - 0*y. Let k(n) = n**2 - 2*n - 7. Is 28 a factor of k(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/15)\/((-1)\/(-15)). What is the greatest common factor of 25 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10295*l + 308884. Determine n(-30).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-70200))\/(((-846)\/108)\/(-47)).\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/3 - 4559*a**4\/3 + 5055179*a**3\/3 + 321347759*a**2\/3 + 1600531240*a - 1709330700 = 0.\nAnswer: -31, 1, 2310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 47371111*p. Let x(o) = -2*o. Calculate r(x(a)).\nAnswer: -94742222*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333531 is divided by 85?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 9) to base 6.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 16861.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s. Let v(a) = a**2 + 3*a - 1. Let i be v(-4). Let q(y) be the first derivative of -y**4 - 3*y**2 + 354. What is i*k(d) - q(d)?\nAnswer: d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*a - 6, -5*s = -4*a - 2 - 0. Calculate the remainder when 29 is divided by ((-20)\/25)\/(s\/(-25)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -270 + 270.1. Let u = 82 - 412\/5. Which is the closest to u? (a) 4\/5 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3793 is divided by 190.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-273)*(-6)\/4. Let m(z) = -7*z**2 + 4*z - 5. Let q be m(0). Put q, -0.1, l, -1 in ascending order.\nAnswer: q, -1, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (185\/(-9) - -19)*((-27)\/12 + 3)\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465722.2 millilitres in litres?\nAnswer: 465.7222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*l + 2, -8*h + 10*h + 10 = 0. Let g(m) = 3*m**2 - 5. Calculate the remainder when 53 is divided by g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 5:36 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) 1\/5 (c) 1\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 14*f + 15. Let t be k(13). Which is the third biggest value? (a) -1 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 345?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, 6, -0.074 in decreasing order.\nAnswer: 6, -0.074, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39416831.\nAnswer: 39416831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + v + 37. Let z be o(0). Suppose 4*m + 3 - 6 = -r, -5*m = -4*r - 30. Suppose -40 = -4*d + d + w, 3*d + m*w = z. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.7315, -1, 3, 0.5, 0.4?\nAnswer: 1.7315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 - 13*r + 13. Let y(t) = t**2 - 2*t + 2. Let u(k) = -6*w(k) + 39*y(k). Let p(h) = 3*h**2. Calculate u(p(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5774*c = 5803*c - 169969. What are the prime factors of c?\nAnswer: 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20290 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 2*x + x)*(-687*x - 678*x + x**2 + 1540*x)*(x + x + x) as b*x**3 + a + h*x**2 + y*x + l*x**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 9 = -4*u. Find the third derivative of 14214 - 14214 - l**2 - 27*l**3 - u*l wrt l.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -765 + 843. Suppose -c = -124 - 86. Suppose -6*w + c = -k. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31\/8 - -33\/8. Factor l*u + 1\/4*u**2 - 1\/2.\nAnswer: (u - 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + r = -105620, 2*g + 26420 = g - 4*r. What is the remainder when (-2)\/(-8) - g\/112 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from xxrxjjljijujj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27969 and 675?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 7:21 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 93*u - 961\/4*u**2 = 0 for u.\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -687022.\nAnswer: 206106.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.07 times 27?\nAnswer: 5671.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -6 (c) 1\/1395 (d) 10\/9 (e) -2\/7 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 283512970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*v + 96*v = -100*v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 14. Let d be b(12). Suppose 0 = 2*u + j - 8, 3*j - j = d*u - 14. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 170.\nAnswer: -11\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5181983187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**2\/9 + 15620*t - 20184736\/9 = 0. What is t?\nAnswer: -35288, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:11 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-22)\/(c*c\/((c\/c**(4\/5))\/c))*(c**21\/c)\/c*c**(-2\/67) assuming c is positive.\nAnswer: c**(-1953\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = -7*c + 4082. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 260 = -z, -4*z = 5*r - 21 - 293. Solve -50 = 8*u - r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20*v**2. Let k(z) = -15*z - 18. Let y(d) = 7*d + 8. Let i(h) = 4*k(h) + 9*y(h). Calculate i(w(l)).\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(28\/7))\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -25183, 24, -4, -2 in descending order.\nAnswer: 24, -2, -4, -25183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1839 - -1839. Which is the fourth biggest value? (a) p (b) -5 (c) 2 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 9*k**2 - 20*k + 25. Let f be h(-11). Solve -4*d + d - f = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-89*u**3 + 92*u**3 + 205*u**3 + 13*u**2).\nAnswer: -208*u**3 - 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.21, 8, -0.02 in decreasing order.\nAnswer: 8, 0.21, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 273247264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441 and 86282.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01434373399 to five decimal places.\nAnswer: 0.01434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/2 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 13*f - 12. Let v = 33 + -19. Let a be y(v). Let s(g) be the second derivative of -g**5\/20 + g**4\/6 + g**3\/6 + g**2\/2 - 2*g. Give s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 24 = 6*v. Solve 0 = h - 5*l - 9, 0 = -2*h - v*h + 2*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/4571 and -29\/161291.\nAnswer: 1129037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoxooooooozowz. What is prob of picking 2 z and 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -w - 12, -5*w = v + 8580 - 8583 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16564862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5619 - 5214. Calculate the remainder when 1233 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46195093643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let h(j) = -2*j**2 + 342. Give s(h(c)).\nAnswer: 4*c**2 - 684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -14 + 6 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6547 divided by 1?\nAnswer: 6547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -16. Sort -2\/7, -1\/10, -8, h.\nAnswer: -8, h, -2\/7, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3899 (base 16) in base 9?\nAnswer: -1340674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.167 - -18.833. Let k = 18.7 - d. Let x = -90 - -93. Which is the closest to 1? (a) k (b) -8\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*sqrt(352) + sqrt(22) + sqrt(22))*4)\/((sqrt(6) - (sqrt(384) - (-2*sqrt(384) - sqrt(384))))\/(-1*sqrt(3)*-3)).\nAnswer: -792*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -47. Which is the nearest to k? (a) 9 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -18 + (-2 - -13) + -35 - -6.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 19*s. Let t(l) = 19*l. Give -2*n(r) + 3*t(r).\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 24*s + 22. Let i be z(3). Let l = -97 + i. Does 41 divide (200\/(-6) + 0)\/(l\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(224) - -6*(sqrt(224) - (sqrt(224)*-1 - sqrt(224)))))\/(((sqrt(200) - sqrt(200)*-2)*3 + sqrt(200))*4) + 0.\nAnswer: -19*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -163302 * 4\nAnswer: -653208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) 594 (b) 19\/16 (c) -4\/33 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11745 + 25888. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Let o = -1.114 - -0.643. Let x = o - -2.471. Which is the third biggest value? (a) -3\/4 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/((-3)\/(-1200)). Let q be ((-4)\/(-6))\/((-2)\/(-75)). What is the greatest common factor of s and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/18*30\/40)\/(46\/(-2))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 10. Suppose g*u - 113 = -5*t, 112 = -u + 3*u + 4*t. Let d = 332 - 313. Calculate the remainder when u is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - -0.4. Let a = -7.4 - v. Let q = a - -4. What is the nearest to 0 in q, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 2*a = -10*r - 202, 3*r + 310 = 4*a. List the prime factors of (r\/(-9) + -1)\/((-2)\/(-36)).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 4*q = -60, -2750*q = z - 2747*q + 10 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1)*2\/6. Let z = 732\/35 - 2231\/105. What is the closest to 4 in -2, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14740*u + 35 - 35 + 7416*u + 7445*u.\nAnswer: 121*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 10*o - 3*f = 25, o = -3*f - 1. Solve -21 = 2*q - 5*m - 0, q = 2*m - o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -10 + 2 + (2 - 6 - 46)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 17. Let w be 60 - (-8)\/(0 + k). Let f be (-1)\/(-8) + (-231)\/w. Which is the third biggest value? (a) 2 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15829552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10821.\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -12*p**2. Let w(n) = -8*n**2 + 221572*n. Determine w(v(u)).\nAnswer: -1152*u**4 - 2658864*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - -10. Let h = a - 21. Let w(u) = 21*u - 1. What is the remainder when w(1) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3 - 19. Solve 3*o - 8 = h*v, v - 3*o = -8 - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -726, -2901, -6526, -11601, -18126, -26101, -35526?\n\"Answer: -725*t**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/(-24) - 4\/(-6). Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2. Let a(s) = 4*s**2 + s - 2. Let c(p) = -p + 7. Let t be c(6). Let l(m) = t*a(m) + 2*u(m). What is the units digit of l(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -330017*v**4 + 303672*v.\nAnswer: -3960204*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 1\/10, 11129?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = l + 8*c - 4*c, 4*l + 58 = -2*c. Let o(z) = z + 12. Let g be o(l). What is the third derivative of -18*f - 5*f**2 + 18*f - f**5 + g*f**5 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 2*w + 0 + 1\/6*w**4 + 0*w**3 + 0*w**2. Let q(r) = -6*r**2. What is p(q(n))?\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 26. Calculate x(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483840 and 588600.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + m = 160, -3*r - 4*m = -r - 148. What is the first derivative of 23*f + 50 - r + 52 wrt f?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1269*s - 1354*s - 17*s**2 + 2623*s.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 11*w**2 - 13*w - 9. Let s be i(-10). Let g be (-56)\/s*18\/4. Is (-8)\/g - 391\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19748, -19747, -19746, -19745, -19744, -19743?\n\"Answer: o - 19749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520939, 2083630, 4688071, 8334262, 13022203?\nAnswer: 18751894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 163\/2. What is the fourth smallest value in -0.4, 3, k, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2)*(10*i**2 + 11*i**2 - 15*i**2)*(-i**3 + 4*i**3 - 4*i**3).\nAnswer: -24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.3, -0.5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - q - 26. What is the units digit of h(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1013033?\nAnswer: -1013100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 10012001011?\nAnswer: -10012000330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -0.39. Suppose 5*t - 3*c + 12 = -0*t, -5*c = -5*t - 10. What is the third smallest value in t, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 321053*j**3 + 69*j**2 + j - 156702810?\nAnswer: 963159*j**2 + 138*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 512047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 + 4*y + 5. Calculate c(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**2 + 2*q**2 - 3*q**2 + (-167*q - 222*q - 93*q)*(q + 4 - 4).\nAnswer: -478*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 - 3*l + 3. Let x(r) = -4*r**2 - 3*r + 4. Let h(n) = -5*w(n) + 4*x(n). Let g be h(0). Solve 4*c - 3*c = -g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 103 (c) 0.2 (d) -16 (e) -50 (f) -0.3 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (1 + -6 + 2). Determine m, given that -3*m**4 - m - 3*m**3 - 3*m**2 - 3 + u*m**4 + 3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -10*f - 9. Suppose f*j - 4012 + 61 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 147, 257, 353, 417, 431, 377, 237?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*m - 7091 = -m, -2*x + m = -4749. Is 39 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2957*w**2 + 2923*w**2 - 8835*w**2 + 2938*w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2211915\/62 + 35675. What is the common denominator of h and -23\/4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -586*w**3 - 12*w**2 + 2?\nAnswer: -3516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-103)\/412)\/((2079\/(-112))\/(-11))?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6648 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 1 + 0*m**2 - 4)*(0*m + 0*m + m).\nAnswer: -2*m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/3*(1449\/6)\/(-1).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.6, 1, 0.5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {n: 4, k: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 49. Suppose -10 = -3*o - 4*i, -i + b*i - 4 = -o. Suppose a = o*q + 69, -4*q - q + 240 = 3*a. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 1. Let y(g) = g - 6. Let m be y(n). Let i = m + 0. What is the third biggest value in 3\/7, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 763?\nAnswer: 8393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -0.02 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3021321 + -1132302?\nAnswer: -10220223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**2 - 10896*c - 97740 = 0.\nAnswer: -2715, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1378908 is divided by 749.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4 - 88*x**3 - 9*x + 89*x**3 - 9 - 2*x**2 - 8*x**2. Suppose 28*v = 15*v + 143. What is the smallest common multiple of d(v) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -5*f**2\/2 - 34. Let b(w) = -6*w. Let n(u) = 6*b(u) - 7*g(u). Let y(c) = -15*c. Calculate n(y(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 151 = -14. Suppose -m - m = 6, 264 = -3*v + m. Let j = g - v. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x + 225. Calculate g(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3 + 7 + 7)*(-x + 0*x + 0*x)*(506*x + 306*x - 104*x + 1).\nAnswer: -2124*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**4\/4 - 62*b + 1. Let r(x) = -x - 13*x - 11*x + 0*x. Give z(r(y)).\nAnswer: 1875*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2107.91604 - -0.08396. Which is the third smallest value? (a) d (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -52. Solve 2*f = 2*o + 8, -d*o + 5 = 3*f + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*z - 11 = 0, 0*b - 2*b - 4 = 3*z. Let t(k) = -5 + 204*k**2 - 210*k**2 + 1552*k - k**3 - 1558*k. Determine t(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 10.31677.\nAnswer: 4.126708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/4*(-16)\/(-12) - 1. Let x(s) = o*s + 31 - 61 + 32 + 6*s. Let f(j) = 91*j + 21. Calculate 2*f(b) - 21*x(b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143125747 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - (0 - -6) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/175*(-20)\/(-6). What is the second biggest value in b, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 10*i - 12. Let f be n(5). What are the prime factors of f\/138 - (-1 + 24566\/(-23))?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 - 5*h**2 - 27 - 11 + h + 2 - 19 in the form b*h**2 + y*h + w and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/37094 and -36\/1091.\nAnswer: 37094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 8*y**7\/21 - 13*y**4\/12 - 9*y. Find the third derivative of t(h) wrt h.\nAnswer: 960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7*((-4112)\/(-56) + -6) is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9c4d (base 16) to base 13\nAnswer: -1529c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(55) - 3*1*sqrt(55))\/sqrt(11) + (sqrt(315)\/(sqrt(36) - sqrt(9)))\/sqrt(7))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1639850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x - 2. Suppose d + 2 + 2 = 0. Determine b(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjfjnjnfjnj. Give prob of picking 1 n, 1 f, and 2 j.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.9 + 9. Let o = 3.03 + -0.03. Which is the nearest to k? (a) o (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0*(-2 - -1))\/1. Let g(y) be the second derivative of q*y**2 + 7\/12*y**4 - 2*y + 0 - 1\/3*y**3 + 1\/5*y**5. Factor g(a).\nAnswer: a*(a + 2)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -256924*a*b*z**3 + 2*a*b*z**2 + a*b*z + 2*a*z**3 + 5*a*z + b*z**3 - 3*z**2 + 2*z - 272 wrt z.\nAnswer: -1541544*a*b + 12*a + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*10\/(-60)*8\/(-20264)*-17.\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 10 = 4. Let u(i) = i**3 - i**2 - i + 1. What is u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 24*j - 406. Suppose 8*l = j + 101. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1116*j + 1114*j - t - 1, 2*t = -2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(1 - (-9)\/(-6)). Let w = -20 - g. Suppose 0 = -2*q + w - 0. What is the greatest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111686283 divided by 37228761\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 1017836 (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f + 13*f**3 - f**2 - 11*f**3 - 4 + 8. Let g be v(4). Suppose -2*s = -m - 118 - g, -s = -2*m - 113. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k - 2*k - k)*(4 - 1 - 4) - 4*k + 6*k - k)*(2 - 2 + 2)*(-2 - 2 + 6)*(0 + 4 - 1).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*v + 1093, -2*v - 4*q = 308 - 1070. Calculate the highest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + a - 10070 - 9456.\nAnswer: 7*a - 19526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9383 + 9388. Let p(f) = -11*f + 29. Determine p(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 182133.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/((-17)\/(8 + 9)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1206*t = -769*t + 858*t + 32375 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*-6*-1. Suppose -5*l = -187 - 288. Suppose -35 = u*i - z - l, i - 20 = -2*z. Solve 0 = 3*p + i - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 120*p. Let f(o) = -11*o. Let t(d) = -32*f(d) - 3*h(d). Let l be (80\/100)\/(46\/(-80) + (-33)\/(-88)). Calculate t(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - i**2 - 1. Let o = -6412 + 6416. Let c(j) = 6*j**3 - 4*j**2 + 2*j - 2. What is o*z(g) - c(g)?\nAnswer: -2*g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 1557 + 262 = 1315. Calculate the remainder when 3187 is divided by c.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30567, 61122, 91663, 122190, 152703?\n\"Answer: -7*a**2 + 30576*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 105 = -5*y, n + 5*n - 3*y - 68 = 52 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (94 - 95 - (0 - 8)) + -2 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45009 (base 16) in base 13?\nAnswer: -9b850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14 and 23476914.\nAnswer: 23476928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6132 and 196?\nAnswer: 42924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Suppose 0 = -l + 2 + 1. Solve -3*j - 6*f = -l*f - 24, m*j + 3*f = 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.27 + -0.27. Let u = -13.6 + z. Which is the third biggest value? (a) 0.1 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 - 150*v**3 - 1226*v**2 + 4758*v - 3380 = 0. Calculate v.\nAnswer: -65, -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - -10)*1*23. Suppose -3*q = 2*u - 36, -28 - l = -3*q + 3*u. Let o be 5\/10*1*q. Let k(h) = h - 2. Calculate k(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*r + 12*r - 219 = 465 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.9 + 100.1. Let w = 118 - d. Let o(h) = h**3 - 2*h**2 - 4*h + 1. Let j be o(3). Which is the closest to j? (a) -2 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 0.1 (c) 2.7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-498)\/(-378)*1 + ((-24)\/28)\/2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:02 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5522033 + -1?\nAnswer: -5522034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 153\/5 - ((-8)\/6)\/((-720)\/(-216)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o = -73*o - 68 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172764\/673 or 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.14 (b) 197 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 4*v - 6. Let q = -136 + -157. Let a = q + 287. Give h(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120210*f + 119641*f - 19346 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125) + sqrt(1125)*-5*-3)\/(3*-1*sqrt(81)).\nAnswer: -80*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2296\/196*(-16)\/(-444) - 2\/(-37).\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**3\/3 - a**2 - a + 10. Calculate the remainder when 27 is divided by o(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183 and 42639.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 16.4. Suppose 5*h + 0*x - 16 = x, 2*h + 4*x = 24. Which is the smallest value? (a) h (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7257?\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n. Let k(c) = -33*c + 10. Suppose 66 = 14*g - 25*g. Let y(x) = -5*x + 1. Let v(i) = g*y(i) + k(i). Calculate a(v(r)).\nAnswer: 9*r - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giiig. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 22\/7*w**3 + 15\/28*w**4 + 69\/14*w**2 + 18\/7*w + 4. Solve b(n) = 0 for n.\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (4 - -16) + -15 + -14.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(-2 - 2 + 7)*(3*l - 5 + 5).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16 and -84.9.\nAnswer: -68.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3540 and 901815?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from wiiwjwwwwuwwwjrivw?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -58*x. Let a(o) = -107*o. Calculate a(z(p)).\nAnswer: 6206*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.246 times -3468.5\nAnswer: 853.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13297235*n**3 + n**2 - 39677207*n + 1?\nAnswer: -79783410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 3. Let i(j) = 5*j + 5. Calculate 5*i(d) - 8*t(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:53 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -4. Suppose c = 2*k - 3*k, -5*k = w. Solve y + c*y - 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11826 (base 9) to base 2\nAnswer: 1111100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 217 - y + 8*y + 4*y in the form a*y + m and give m.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 451301 (base 10) to base 2\nAnswer: 1101110001011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -46. Let s = 6 - -18. Let x = s + -15. What is the remainder when j is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 2, y: 1, p: 2, w: 1}. Give prob of picking 1 y, 1 r, and 2 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**3)\/(y**4*y*y)*(y**(-1\/3))**9 assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 114. Let x be 8 + 2\/(4 - 2). Calculate the highest common factor of x and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 59 (b) -1\/4 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 6, 8, 4?\n\"Answer: -3*z**2 + 17*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -100, -67, -14, 65, 176, 325, 518?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.71, 2, -1.\nAnswer: -1, 2, 7.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 27657 and 27652 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 29, 34, 39, 50, 73, 114, 179?\n\"Answer: o**3 - 9*o**2 + 31*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1. Let s(p) = -12*p - 1. Give s(y) - 2*t(y).\nAnswer: -12*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 3*g**2 - 2*g - 4. Let a be y(-3). What is the derivative of -6*d**a + 3 + d**2 + d**2 wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1466*f**2 + 1949*f**4 + 1466*f**2)*(1 - 1 - 1 + (1 + 0 + 2)*(-1 + 3 - 1)).\nAnswer: 3898*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-124)\/12 + -3)\/((-1)\/57). Suppose -f*y - 67055 = -765*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5985153002?\nAnswer: 2, 2992576501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 8*t + 10*t)*(3 - 2 + 0) + 2 - 2 - 2*t + (1 + 1 + 0)*(3 - 3 - t) + 1 - 3*t - 1.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1312.1 - -1312. Sort r, 9, -1, 0.1 in decreasing order.\nAnswer: 9, 0.1, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 16 = -2*h, 0 = 3*h + h + 16. Calculate the remainder when 183 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 45. Let c be p(11). Solve 3*y = -4*d - c, 5*y - 2*y - 2*d = 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128537021?\nAnswer: 67, 1918463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 17*u**2 + 19*u**2 - 18*u + 63.\nAnswer: -u**2 - 18*u + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Let j = 0 - p. Let a(u) = -u**3 + 3. Is a(j) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22581 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q**2 - 3*q**2 + 5*q - q + 15 - q**3 + 0*q**3. What is the least common multiple of 5 and r(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/4)*(s**7\/s*s)\/s*s*s)\/(s**(-2\/5)*s*s**5\/s)*(((s**(-3\/4)\/s)\/s)\/((s*s*s**(-2\/7))\/s))\/(s**2\/(s\/s**(-7))) assuming s is positive.\nAnswer: s**(503\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**16\/t**21)\/(t**4*t*t**27) assuming t is positive.\nAnswer: t**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 147 = -1257. Let w = 159 - g. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1 + (-1 - -3)). Suppose -3*z - u + 1 = 0, -3*z + 4*u - 16 = 3. Is f > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -306430?\nAnswer: -30642b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -6\/11, -0.1, 9195\/14.\nAnswer: -15, -6\/11, -0.1, 9195\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f - 27200 = -28631 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (9 - -17) + -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*p + 171 = -115*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1753262385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 2*y**2 + 2*y + 4. Let l be (-25)\/6 - 2\/(-12). Let a be b(l). Solve -2 = 3*m + 10, 2*m + a = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -214.1 and 150487570.\nAnswer: 150487355.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 88*k = -90*k - 11, -2*k - 14 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*v + 3*j, j - 1 + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + p + 36. Suppose -2*t - 2*y + 256 = 0, 5*y + 416 = 6*t - 3*t. What is the highest common divisor of p and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:27 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 2. Suppose f = -3*f. Suppose 0 = -f*j - j + 3. Suppose 15 = -0*m + j*m. Let o(w) = w + 1. Calculate m*o(g) + 3*u(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60746042 + 675.4?\nAnswer: 674.79253958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*t = -26, 4*t - 3*t + 14 = 3*d. Let 4 + d*y + 3*y**2 + 1\/2*y**3 = 0. What is y?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*i - 13, -3*i + 4 = -5*f + 7*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -301, -382, -465, -550?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131\/79 - -6863\/1185. Factor p*l**4 + 520\/3*l**2 + 0 + 2\/15*l**5 + 44*l**3 + 400\/3*l.\nAnswer: 2*l*(l + 1)*(l + 10)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from uuouuoonuuuav.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 335556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16993 = j - 15*f - 17020, 0 = -3*j + 2*f - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 29 = -5*g. Let w = 104 - 69. Solve 3*r = -i + g, -2*r - 2*i - 3*i = -w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.963 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 * 7.1059\nAnswer: -2.344947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v - 10, 0 = -4*z - v - 30. Let u be (96\/(-144))\/(z\/3). Let 0*m + 0 - u*m**2 + 0*m**3 + 2\/7*m**4 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2540 - 2540 + 5*y. Suppose 3*s - 4*z - 50 = 0, 2*s + 2*z - 34 = 5*z. Let q be (-2)\/s - 42\/49. Let w(u) = -u - 1. Determine q*o(k) - 2*w(k).\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7832748214 to the nearest integer?\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 15. Suppose v = 4*o - 2*q - 298, -3*q = -5*q + 10. Let l = o - 46. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40529708)\/(-3)*(-15)\/(-85). Let t = 1902722375\/816 - y. Let l = -52336 - t. What is the common denominator of l and 101\/2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94079594 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.99? (a) -227.6 (b) 2 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 794.7 + -798.7. What is the fourth smallest value in 3, j, 0.5, 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 + (1 - -2). Suppose -b*o + 4 = -2*o. Let j = -1038 + 1040. Solve -j*s + o*y = -12, 0*y = -2*s - 5*y + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 1. Suppose 3*x = -65 + 197. Suppose 45*h - 2 = x*h. Let u be 2\/(10\/5) - h. Let t(p) = -p - 1. What is u*w(g) - t(g)?\nAnswer: -g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -248 + 248.056. Let k = 0.556 - d. Which is the nearest to 3? (a) -2\/11 (b) 9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 481941*z**2 + 189*z**3 + 266*z**3 - 481113*z**2 wrt z.\nAnswer: 2730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103292 or 14?\nAnswer: -103292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) -0.4 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3\/7, -4, -6, 2\/15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.005?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -2\/3 (c) -2\/11 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**6\/180 + g**5\/40 - g**4\/24 - 3*g**3\/2 + g**2. Let w(v) be the first derivative of p(v). What is w(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(-5*(sqrt(12) + sqrt(12)*1)))\/(1*sqrt(80)*3).\nAnswer: -sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5 - 5241*r**4 + 3355923*r**3 - 925872603*r**2 + 91940940510*r - 180205154232 = 0?\nAnswer: 2, 236, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a year?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -665766 by 84.\nAnswer: -110961\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 12101?\nAnswer: -12034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 20*x**2 + 25*x + 5. Let q be z(21). Suppose 0 = -9*y + q - 26. What is the least common multiple of 61 and y?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23697168 to the nearest integer?\nAnswer: 4868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 19*q**4 - 5*q**3 - 12*q**2. Let c(k) = 9*k**4 - 2*k**3 - 6*k**2. Let g(t) = -5*c(t) + 2*z(t). Find the third derivative of g(v) wrt v.\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 25945171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66462 = 48*s + 65742 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsq when three letters picked without replacement from {s: 1, z: 1, q: 2, n: 1, v: 1, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001 (base 2) in base 3?\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1630, -2085, -2848, -3925, -5322, -7045, -9100?\n\"Answer: -r**3 - 148*r**2 - 4*r - 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 97 = 4. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.54 * 490.\nAnswer: -264.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**4 + 6*j + 2*j**2 - 3*j**3 - 8*j - 12*j**4 + 5*j**3 + 18*j**4 + 29 to the form k*j**2 + t*j**3 + a*j + f*j**4 + z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*l - 11*l**3 + 826*l - 274*l - 276*l.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + d = -3*d + 155, 4*d - 65 = -h. Suppose 4*c = -c + h. Suppose 2*r = w - 46, -4*w + 3*r - r = -154. What is the greatest common factor of w and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -434 - -78. Let n = z + 361. Solve -5*u + 2*w - 31 = 0, -n*u + 2*w - 34 = -w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h + 192*h**2 - 98*h**2 + 24*h**3 - 86*h**2 wrt h.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2. Suppose 14*v - 17*v + 18 = 0. Let n(m) = -4*m - 3. Let k(b) = -15*b - 11. Let a(u) = v*k(u) - 22*n(u). Determine r(a(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 628420937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 76\/836*(-33)\/(-30)*10. Let q = -130 + 30. Which is the closest to -1? (a) q (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 103*f**2 - 16*f - 103. Let x(o) = -8*o**3 - 928*o**2 + 148*o + 928. Let z(g) = 28*v(g) + 3*x(g). Factor z(t).\nAnswer: 4*(t - 1)*(t + 1)*(t + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in -0.3, -0.4, 5744, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*i + 15 = -92*i. Solve 4*o - 16 = -0*o, 0 = v + o - i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = -2*r, 2*w + 4*r = 4*w + 18. Let s be ((-40)\/1190)\/(4\/4414). Let d = s + 258\/7. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/15)\/(-2))\/((-21420)\/13770).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2*f**2 + 2*f**2)*((0 + 1 - 2)*(2*f**2 + f**2 - 4*f**2) - 1380 + 3*f**2 - f**2 + 1790).\nAnswer: -6*f**4 - 820*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8632, 8634, 8636, 8638, 8640, 8642?\n\"Answer: 2*p + 8630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -6311?\nAnswer: 6307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 t when four letters picked without replacement from {h: 1, l: 4, q: 4, t: 2, w: 3, i: 3}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14043 (base 8) to base 5.\nAnswer: -144204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcddcchcdcdcdhh. Give prob of sequence dccc.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -34 + 14 + (13 - -1) + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = 4*w + 4, 3*w + 3*b = -6. What is the third biggest value in w, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1 + 0 + 4 - 2*u. Let o be 1\/(-1)*(1 + 2). Calculate r(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 1 c when three letters picked without replacement from {r: 1, c: 1, g: 1, q: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (333\/25974*14)\/((-7)\/(-9)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -62*y + 4. Let u(r) = 1965*r**2 + 1962*r**2 - 3925*r**2. Give l(u(p)).\nAnswer: -124*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 16) + 80 + -72.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 22\/7 (c) 0.3 (d) -596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (12 - 10) + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (239 + 173 - 124)*(2*o + 4*o - 4*o).\nAnswer: 576*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*y**2 + 41*y**2 - 116*y**2)*(0*y**2 + 0*y**3 + 41*y**3 + 0*y**2).\nAnswer: -3977*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4 (b) -19 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:46 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-30)*-9)\/((-148)\/(-136) - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69987 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486283 is divided by 752.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135170 or -135179?\nAnswer: -135170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 5. Let r be (-3)\/(-6) - 27\/(-6). Suppose -7 = -r*k - 2*l + 9, 2*l - 14 = -4*k. Sort k, 0, s.\nAnswer: 0, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4267809 and 31356.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43, -80, -119, -160?\n\"Answer: -u**2 - 34*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/3 + 26\/15. Let w = 2.8 - 3. Put -0.5, z, w in ascending order.\nAnswer: -0.5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g + 56 = 0. Let y be (g\/6)\/(1\/12). Calculate the remainder when 6\/2*y\/(-6) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-527*r**2 - 393*r**2 + 652*r**2)*(1 + 2*r**2 - 1)*(0 + 0 - 5) as z + t*r**4 + g*r + i*r**3 + u*r**2 and give t.\nAnswer: 2680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3 - 157*t**2 + t + 107?\nAnswer: -6*t - 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-20) + 384\/(-210). Let b = 146\/63 + a. What is the smallest value in 0, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31e75 - -11d?\nAnswer: 32093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647547 is divided by 215849?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 490*3780.2\nAnswer: 1852298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/72 - 5*h**4\/12 + 18*h**2. Let t(z) be the second derivative of x(z). Let f(m) = -9*m. Give -6*f(s) + 5*t(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 245*l - 57)*(-7*l - 5*l + 4*l + (4*l + 3*l - 6*l)*(3 - 4 + 3)).\nAnswer: 1470*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/7 + 15 - 46\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) -6\/7 (c) -3202 (d) -97 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 1516.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -9. Suppose -s - 2 = -n, 3*v - 91 = -4*n. Suppose -91 = -3*l - v. What is the least common multiple of l and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -44.992. What is k rounded to two dps?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 8:59 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*i - 8 = 0, -4*v - 5*i + 20 = -v. Suppose z - 8 = -2*h - v, -36 = -4*h + 3*z. Suppose h = 5*r - 3*r. Solve -2*b - 5 = r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289309 is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**2 - 12*m**3 + 2*m + 39 + 0*m - m.\nAnswer: -12*m**3 - 30*m**2 + m + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.257 take away 150676.58?\nAnswer: -150658.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 125249.40865 rounded to the nearest ten?\nAnswer: 125250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24875.39ug to grams.\nAnswer: 0.02487539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51308909?\nAnswer: 101, 508009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/5 + 14869*u**2\/5 - 55279224*u\/5 + 55264356\/5 = 0.\nAnswer: 1, 7434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252bb1 (base 12) to base 10.\nAnswer: -606517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 2*g**3 - 5*g**3)*(3 - 3 + 4*g) + 3*g**4 + 2*g**4 + 0*g**4 + 2*g**4 - 3*g**4 - 2*g**4 + (g - g + 2*g**4)*(-1 - 1 + 4).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h**4 + 128*h**3 - 235*h**2 - 944*h + 220 = 0 for h.\nAnswer: -2, 2\/9, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524060?\nAnswer: 2, 5, 26203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 32 = -5*p, -3*p + 6252 = 2*l + 6236 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25136\/11 - 2287. Calculate the common denominator of d and 7\/489.\nAnswer: 5379","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.152 in -7, -0.2, -6, 2\/9, 0.4, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5263 (base 7) in base 4?\nAnswer: 131002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-33))\/(4\/(-3))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6) + 30\/9. Suppose -r*n = -5*n. Let i = 1\/227 - -449\/1135. Which is the biggest value? (a) n (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5950 and 27650.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 22 + 242. Let s = k + -33. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 2*c + 8*c + 6*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 13 + (-13 - -10) - 48.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 297578, 595124, 892678, 1190240, 1487810, 1785388?\n\"Answer: 4*z**2 + 297534*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311 divided by 5.\nAnswer: -311\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d = -55*d + 315 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 349423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42055 is divided by 13896.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5085*h**4 + 2690*h**2 wrt h.\nAnswer: 122040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 125885, 251765, 377641, 503513, 629381, 755245, 881105?\n\"Answer: -2*m**2 + 125886*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 847 and 5035415?\nAnswer: 5035415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1475 (base 16) in base 12?\nAnswer: -3045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*y - 70 = -0*y, -3*o + 22 = -y. Suppose 0 = 2*x - 14. What is the lowest common multiple of x and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a hour in seconds?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1796, 1517, 1248, 995, 764, 561?\n\"Answer: m**3 - m**2 - 283*m + 2079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*o**3 + 8*i*o**2*y - 2*i*y + 38*o**4 + 3370*y wrt o?\nAnswer: 3*i*o**2 + 16*i*o*y + 152*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 + 3*j + 3. Let a be u(-1). Let q(i) = -2*i + 1. Let m be q(-1). Let k(y) = -3 + y**2 - m*y**2 - 4*y**a + 2*y**3 + y**3. What is k(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 + 11.922399.\nAnswer: 53.922399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gppllppglgpllg. Give prob of picking 3 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237\/27 - 20\/(-90).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 850917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from kkkkkgykkgkykkkf.\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 273c5?\nAnswer: -273c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 792551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 2. Let w(r) = r**3 + 4*r**2 - 2*r - 5. Let s be w(-5). Let h = s + 21. Calculate the lowest common multiple of k(-3) and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 5. Let n be (-6)\/(-4)*(-3 + 2)*z. Suppose -9 + n = 2*p. Solve -3*x = -p - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14400 and 1280?\nAnswer: 57600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(0 + 1) - 1. Let g be (-2)\/(-8) + 24\/(-112) + 0. Let l = g + -2\/7. Which is the closest to f? (a) 0.1 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 6*c + 29. Let l(j) = 4*j + 1. Give 4*l(g) + n(g).\nAnswer: -2*g**2 + 10*g + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by 5.\nAnswer: -173\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 17447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -976 - -1040. Solve -54 = -5*t - b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 228.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32\/5 of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 319875440 + -319875469.9999998. Let w = -30 - y. What is w rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -33341*r**2 - 13*r + 13. Let u(j) = -64106408*j**2 - 24996*j + 24996. What is -24996*b(s) + 13*u(s)?\nAnswer: 8332*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -37 times -221984\nAnswer: 8213408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from oecanone.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -6*f - 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/4)\/(3\/6). Let h(i) be the third derivative of -1\/4*i**4 + 14*i**2 + 5\/6*i**3 + 0*i + 0 + 1\/60*i**5. Give h(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-35)*27\/(-99)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.09203 to 1 dp.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26922, -26428, -25934?\n\"Answer: 494*c - 27416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 594 and 309502.\nAnswer: 183844188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135082.44 months to centuries.\nAnswer: 112.5687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*w = -36 - 62, -5*w + 110 = 5*i. Solve 0 = -y + i - 13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -9*l**2 - 6*l - 31\/6*l**3 - 53\/40*l**6 + 0*l**4 + 0*l**5 + 0. Find the first derivative of k(f) wrt f.\nAnswer: -477*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1774 = 6*p + 1804 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-6)\/(-28)*(-35)\/210\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-6)\/(-2)*94\/(-282).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14*a**3 + 9*a**2 - a - 2. Let b(q) = -9*q**3 + 7*q**2 - 2. Let g(t) = -3*b(t) + 2*u(t). Let i be (6\/(-15))\/(4\/20). What is g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, n: 3, c: 7}. What is prob of sequence yyc?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 41. Let k be p(12). Suppose 3*w - 612 = 8*q - k*q, 387 = 2*w + 5*q. What are the prime factors of w?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 113545, 113555, 113565, 113575, 113585?\n\"Answer: 10*b + 113535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -1, -6\/647 in increasing order.\nAnswer: -1, -6\/647, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 + (17 - 3). Solve -3*f = -8*f - r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:08 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 64 = -5*y + 65, -y - 141 = v. Let r = v + 698\/5. What is the nearest to 1 in -1\/4, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dooooaaaaoo. What is prob of sequence ood?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165347391 to the power of 1\/2, to the nearest integer?\nAnswer: 12859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/1*((-10)\/6)\/(-5). Which is greater: u or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in micrometers?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59261 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 9*a - 36.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -54*z**2. Let a(j) = -526*j**2 + 91*j. Calculate a(o(k)).\nAnswer: -1533816*k**4 - 4914*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3318 + -0.233. What is w rounded to three dps?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 12) to base 7\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-14824)\/40 + 3\/(-5)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 divided by -202?\nAnswer: 113\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 0.53. Suppose 36022*l = 36038*l. What is the nearest to 15 in -1\/5, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 354*a - 3099. Give c(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -407*w**4\/6 + 1090*w**2 + 142*w - 3. Differentiate t(n) with respect to n.\nAnswer: -1628*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n - 24. What are the prime factors of d(11)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*o - 5 - 81, 5*j + 3*o = 74. Let n(c) = 3*c + 31. Suppose -52*d + 49*d + 30 = 0. Calculate the remainder when n(d) is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*y**3 + 397*b*y**2 + 1281*y**3 + 2*y**2 - 2*y wrt y.\nAnswer: -12*b + 7686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 4*r**2 - 2*r - 1. Let z(y) = 24*y**3 + 51*y**2 - 15*y - 9. Determine 8*s(f) - z(f).\nAnswer: -8*f**3 - 83*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, -497, -4 in decreasing order.\nAnswer: 12, 4, -4, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12545 and -161\/75270.\nAnswer: 75270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154523033 (base 7) in base 11?\nAnswer: 5992a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10824275 divided by 23\nAnswer: 10824275\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41982, 84024, 126126, 168288?\nAnswer: 210510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/517992 and -41\/6102?\nAnswer: 4661928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/5)\/((-4)\/(-40)*2). Let c be 1 - -5 - (-6)\/(f - -5). Let q(d) = -d - 1. What is q(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6 = -2*s - 728, 0 = u - 4*s - 148. What is the least common multiple of u and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/7, -0.5, 0.09, -1\/4, -93.2 in ascending order.\nAnswer: -93.2, -15\/7, -0.5, -1\/4, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.649 times 1?\nAnswer: 12.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*d + 439 + 16 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*k + 6. Let a(u) = -7 - 4*u - 1 - u - k. What is the remainder when 49 is divided by a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 + -98. Which is the smallest value? (a) 1\/10 (b) p (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o**3 + 2*o**2 + 2*o + 2. Let r(y) be the third derivative of 23*y**6\/60 + 11*y**5\/60 + 11*y**4\/24 + 11*y**3\/6 + 2*y**2 - 1. Give 11*m(w) - 2*r(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 13234*n**3\/3 - 26464*n**2\/3 - 8*n\/3 = 0?\nAnswer: -2\/6617, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1152)\/20 - -58)\/(0 - ((-216)\/75)\/9)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 6, -5, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.67, 61807, 0.2?\nAnswer: 2.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 43356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1236980 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (11 - (8 + (12 - 12))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (98*r - 579 + 579)*(13*r**3 + 329*r**2 - 329*r**2) as l*r**3 + z*r**2 + f*r + d + m*r**4 and give m.\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -164001, -163988, -163961, -163920, -163865, -163796?\n\"Answer: 7*u**2 - 8*u - 164000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 i when three letters picked without replacement from rgggjiygydrgggggyg.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1692)\/(-696) - 6\/(-87).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*c**2 - 169 + 85 + 84 to the form b*c**2 + u*c + q and give b.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 20, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -26\/17*h**2 + 32\/17*h - 22\/17*h**3 - 8\/17 + 8\/17*h**5 + 16\/17*h**4 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -7.77 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ckccckckkckc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*x**3*z**2 - 2*x**3*z + 34*x**2*z**2 - 351*x**2 + 48*x - 14*z**2 - 7*z - 2 wrt z.\nAnswer: -8*x**3 + 68*x**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -597, -967, -1883, -3609, -6409, -10547, -16287?\n\"Answer: -44*k**3 - 9*k**2 - 35*k - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*q**2 + q - 70 wrt q?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19 - 10 - (-5373)\/3. Calculate the highest common divisor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1. Let x(h) be the third derivative of h**6\/60 + 2*h**5\/5 - 13*h**4\/12 + h**3\/3 - 64*h**2. Let g(v) = -2*c(v) - x(v). Factor g(p).\nAnswer: -2*p*(p - 1)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 9:21 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1854 and 3296?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1323 divided by 4\nAnswer: 1323\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -21\/4, 4, -4, 167.5 in descending order.\nAnswer: 167.5, 4, -0.3, -4, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1464069, 1464004, 1463939, 1463874, 1463809?\n\"Answer: -65*u + 1464134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -34 - (-2 - (-18 - -3 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from llrllllnlarvnlnlnl?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12033 - -12005)*(-78)\/(-56).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**3\/3 - t**2 - t + 1. Let n be h(2). Let g = 29950 + -29949.7. Which is the second smallest value? (a) g (b) -4\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 15 - ((18 - (16 - 13)) + -19).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.015 + -0.965. Let v = s - 0.05. Let k = 5 + -10. Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 114211003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 6:50 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - q = -5*q - 21, -4*q = -n + 15. Let s be n*(-3 + 4) + -4. Are -5 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3684*t**2. Let h(v) = 37593*v. Determine h(k(l)).\nAnswer: -138492612*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.21 - 0.21. Suppose -4*h - 23 = -3. Sort n, h, -0.1 in increasing order.\nAnswer: h, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016352 is divided by 6515?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -82962 to the nearest 100.\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7925, -15824, -23771, -31766, -39809?\n\"Answer: -24*m**2 - 7827*m - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35589.339 - -35624. Let w = 0.339 + m. What is the smallest value in w, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 divided by -1?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2821.583 in 1\/2, -2\/3, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/63 + (32\/6)\/4. Let p = 255 - 258. Sort p, 0, 5, g.\nAnswer: p, 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -33. Let y be p\/5 + (-12)\/20. What is the common denominator of (-12)\/28*126\/y and -59\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -1. Let d = -1833 + 1847. Let j = d + c. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 15*j = -k + 104, 19*k = 4*j + 2480. What is the highest common divisor of k and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1d?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 12*z**2 - 12*z - 5. Let y be x(13). Let q = 554 + y. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrlrrlrllrrrr. Give prob of sequence lr.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -687 - -698. Calculate the least common multiple of j and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -17 (b) 2\/11 (c) 269651\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -29*w + 1165. Let v be b(40). Solve 0 = -5*k - 5*x, -v = -5*k - x - 1 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 567 and 7803?\nAnswer: 163863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.351, 4, -4\/5 in decreasing order.\nAnswer: 4, -1\/5, -0.351, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:35 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120578972 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5878095223?\nAnswer: 7, 11, 13, 838889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*o**2*p**2 - 13244*m*p**2 + 2*o**2 + 5*o*p + 66*o - 5*p**2 wrt m.\nAnswer: 2*o**2*p**2 - 13244*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 131 + 40?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 2. Let t be h(2). Let l = t - 12. Suppose y + 8 = -5*k - 14, -7 = y + 2*k. Sort -7, l, y in ascending order.\nAnswer: -7, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312166?\nAnswer: 2, 127, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -3*c**5\/25 - 12*c**4 - 1518*c**3\/5 + 984*c**2 - 5043*c\/5 + 1380. Let v(r) = 0. Calculate r.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(1\/4)*h**(-1\/6)*h**(-10)\/(h\/(h**10\/h*h)) assuming h is positive.\nAnswer: h**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1664 + -5541262?\nAnswer: -5543146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 869*f - 864*f, f = 2*b - 176. Calculate the greatest common factor of 306 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42034.\nAnswer: 2, 21017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*w + 179*m - 186*m - 120, 3*m = -5*w + 40 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009196362 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6556, 19217, 40320, 69865, 107852?\n\"Answer: 4221*l**2 - 2*l + 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 6720.\nAnswer: -1\/6720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, p: 2, v: 2, e: 1}. Give prob of sequence emv.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80 and 109?\nAnswer: -8720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*o - 29, -5*o + 20*n + 17 = 24*n. Suppose 3*v + f = 13, 2*v - 6*f = -o*f + 12. Solve 15 = g - 5*x, -v*g = -3*x + 5 + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 3*g**2 + 2*g**3 + (2*g**2 - 5*g**2 + 5*g**2)*(0*g - 4*g + 5*g) + 2*g**3 + 0*g**3 - 3*g**3 as i*g**3 + f*g**2 + v + z*g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/60 - 3*x**4\/8 - 5*x**3\/6 + 7*x**2. Give v(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59379374023406 and -0.4.\nAnswer: -59379374023406.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-3*-1*sqrt(77))\/(-1*sqrt(21)\/sqrt(3)*2))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2*g + 4)*(-12*g + 7*g - 2 - 3).\nAnswer: -10*g**2 - 25*g - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 3)\/(1\/(-17)). Suppose 3*q + q - 16 = 0, h - 5*q + w = 0. Solve -5*k + k = o, -2*k = -h*o - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 91 + 6*y - 77\/3*y**3 + 0*y**2. What is the derivative of a(s) wrt s?\nAnswer: -154*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 25881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 5*w - 4. Let x be o(-4). Suppose 0 = -x*j + 2*j + 2. Let n be (-2 - -2)\/2 - j. What is the highest common factor of n and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102831 and 18573.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 5, a: 2, f: 3, n: 5, w: 4}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 7 + 2 - (11 + -4 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - q + r = 4*q + 12, -700 = 2*q - 5*r - 696 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5 + 24*z**4 + 45*z**3 - 12*z**2 - 60*z = 0 for z.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - -202. What is the remainder when r is divided by (-612)\/(-22) + 70\/385?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 1)*(-3 + 2 + 3) + (3 - 3 + 1)*(-5 + 1 + 3))*(2*l - 3*l - 3*l).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91744525*x**3 - 92415171 wrt x?\nAnswer: -275233575*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 15*x = -17. Let s be ((-4)\/8)\/(x\/1 - 1). Which is the closest to 2\/5? (a) s (b) 2\/17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*o - 25 = 10, -4*p + 20 = -2*o. Let b be 1\/5*(-5 + p). Let u = 7\/20 + -1\/10. Does u = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (329\/14)\/((-14)\/4) and -27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -0.19, -4, -0.002?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -3. Let u be 6387*((-2870)\/(-3) + i). Let y = u + -12291069. What is y rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -5, -3, -24, -6\/5, -17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 521 - 2?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - -21 - (24 + -19 + -6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-2) + (-28)\/(-7). Let b(c) = -2*c + k*c - 6*c + 4*c + 54. What is the tens digit of b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyv when three letters picked without replacement from {v: 2, y: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.9. What is the second smallest value in y, 2\/9, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6377 and -11.\nAnswer: -70147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.471 * -0.3\nAnswer: 0.4413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 96 = 0. What is the remainder when h is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453246 (base 8) in base 15?\nAnswer: -83133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11826 and 2.71?\nAnswer: 0.3204846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4163 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a century in decades?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 16*n - 240. Solve l - 5*l = -n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -104\/7093 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 2400*b**2 + 458751*b - 456354.\nAnswer: 3*(b - 486)*(b - 313)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200021 + 2?\nAnswer: -200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4841 and -0.4.\nAnswer: -0.8841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 2211*x + 24441. Calculate g(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0 - 1\/30*a**5 + 0*a**4 + 0*a + 91*a**2 + 0*a**3. Let q(b) = b**2 - 32. Determine q(v(m)).\nAnswer: 4*m**4 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*n + 2*a, a = -4*n + 2*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 214 = -3*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*(7\/(-28) - 3\/4). Suppose -6*g + h*g - 9 = 0. Which is the nearest to -0.1? (a) 1 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from {z: 2, u: 2, w: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:54 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 25. Let w be r(-9). Let b = 28 - w. Let q(u) be the first derivative of -u**4\/4 - 7*u**3\/3 - 3*u**2 + 6*u + 4. What is q(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 15*h - 13. Let a be y(6). Let j be -3*-1*(-4)\/(-54). What is the second biggest value in a, -1\/8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 199*a**2 + 2532*a - 10813. What is r(-185)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 4:55 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 3, w: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*x + 1)*(-3 + 6 + 0 + (2 + 1 - 4)*(2 - 5 + 1))*(-2 + 1 - 1).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(6)\/sqrt(2)*3 + 1)*-4.\nAnswer: -12*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 53. Let p = b - 37. Suppose p = 2*x + 6 + 8. Which is greater: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4777350177 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**8\/20160 + z**7\/3024 + z**6\/1440 + 7*z**4\/12 + z. Let v(i) be the third derivative of r(i). Let v(u) = 0. What is u?\nAnswer: -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252198530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 213 = 3*o. Suppose 0 = -1242*n + 1239*n + 12, -4*m - 2*n = 344. Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**4 + 287*g**3 - 3929*g**2 - 8715*g - 4500 = 0.\nAnswer: -300, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5676, -5694, -5738, -5820, -5952, -6146, -6414?\nAnswer: -6768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 14.7, 0.5, -0.106?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(78\/104)\/(27\/186)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzvv when four letters picked without replacement from ffyvffzfvzf.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 - 538*a**2 + 3*a**4 - 2*a**3 + 547*a**2 + 4*a**3 + a - 1 - a**4 in the form s*a + d + k*a**4 + i*a**3 + z*a**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 25 = -16*v. Let b(z) = 16*z - 25. Let d(c) = 13*c - 25. Let t(a) = v*b(a) - 6*d(a). Let g(r) = -2*r. Determine g(t(f)).\nAnswer: -4*f - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 17*t + 22*t - 44*t + 12*t.\nAnswer: 7*t + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10214*f - 37792 + 810435 = -63*f + 1868 for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/20)\/(5\/((-50)\/4)). Let r(h) = h**3. Let v(c) = 2*c**3 - 3. Give n*r(l) + v(l).\nAnswer: -l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 200\/3*x**3 + 85\/3*x**4 + 0 - 3*x**2 + 23\/4*x**5 + 1\/42*x**7 + 7\/12*x**6 + 22*x. Factor v(k).\nAnswer: 5*(k + 1)*(k + 4)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*c + r, -3*r + 9 = 3475844*c - 3475844*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34372, 65250, 96128, 127006?\nAnswer: 157884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 168599.\nAnswer: 69\/168599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-96) + 6331\/(-25356). Let p = o - 272585\/25356. Let a = 196 - 542\/3. Find the common denominator of a and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-160)\/100)\/(-2*(-4)\/(-13320))?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 + 2*c**2 - 80*c**3 - 6*c + 80*c**3 + (4 + 1 - 4)*(-5*c**4 + 3*c**4 + c**4) to the form t*c**3 + d*c**4 + f*c**2 + x*c + u and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from pyyopoobjlobly.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7. Suppose -4*u + r = 20, r + r - 8 = w. Round u to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/sqrt(6))**2 + sqrt(52) + (1 + sqrt(13) + 3)**2 - (3*sqrt(52)*-1 - 1*1*sqrt(52))**2.\nAnswer: -751 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*r**4 - 6*r**4 - 59*r**4 + 31*r**4 + (3*r - 3*r + r**3)*(-61*r + 108*r - 71*r).\nAnswer: -117*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 19*h**2 + 107*h + 1213. Calculate x(-17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p + 67. Let h be t(2). Calculate the highest common divisor of h and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-54)\/(-15)) + 372*30\/2160\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (25\/(-10) - -1)\/((-2)\/12) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 193.4, 1\/7, -13, -2\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-22 - -21) + -46 - -13.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 + (1 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99044 at least as big as 99048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 4*s**2 + s - 1. Let t be w(-4). Let j = t + 11. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-4)\/(-12)*(-15)\/5. Differentiate -x**y + 0*x**3 + 64*x**2 + 125 - 10*x**2 + 2*x**3 wrt x.\nAnswer: 3*x**2 + 108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140577 (base 9) to base 13\nAnswer: 30067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5, -0.5, -0.01, 0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50\/(-700) - (-11)\/7. Let o(h) be the second derivative of 0 + 7*h + 1\/6*h**3 + s*h**2. Calculate o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 7 = 13, -5*b + 574 = 43*l - 0*b for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 98, 244, 448, 710, 1030?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113685?\nAnswer: 3, 5, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 203\/4 + (-201)\/134. Which is greater: w or 49?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 7*o + 3. Put 0, o, 1 in descending order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 16 = -6. What is the derivative of -9 + 3*r + v - 5 wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x**2 - 290*x + 50. Let i be o(24). Solve 3*s + 0*w = -i*w - 2, -4*s + w - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 56, 71, 70, 47, -4?\n\"Answer: -b**3 + b**2 + 29*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3801750*s. Let u(p) = -15*p. What is u(w(z))?\nAnswer: -57026250*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -1) + 2 + 0 + -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4280 + -2127. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4580)\/229 - (6*3\/(-6) + -4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-10)\/1)*(-7)\/((-63)\/18)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 22*f**2 + 388*f + 2181. Determine v(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*c**2*m - 5*c**2 + 7*c*m**3 - 426*c*m + 21*c + 8748 wrt m.\nAnswer: -10*c**2 + 21*c*m**2 - 426*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66\/23 or 4?\nAnswer: 66\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -743.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = -7*x + 399. Let y = -93 + x. Suppose -4*v = y - 184. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -150\/7, -14, 3, 4, -0.09?\nAnswer: -150\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -102766 and -0.42?\nAnswer: 43161.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 286849000 rounded to the nearest 1000000?\nAnswer: 287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + 0*b - b)*(-3*b**2 + b**2 + 0*b**2) - 4*b**3 + 207 - 207 to a*b**2 + y*b + m + u*b**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 288077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*y + 15 + 5 = 0, -2*x + 4*y - 4 = 0. Solve -3*k + 4*k + x*h + 4 = 0, -5*h = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1530, 1491, 1458, 1431?\n\"Answer: 3*h**2 - 48*h + 1575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2684 and 1342?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 0 (b) -456 (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12799 and 4717749797?\nAnswer: 12799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 114423*s**3 - 114424*s**3 + 2*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*d + 26 = 215*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12103 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 + 397*z + 26429. Determine l(181).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 3*x**2 + x + 1. Let f be t(3). Let j = -2 + f. Suppose 4*q + 1 = -5*b + 27, q = -b + 6. Solve -q*h - 2*o = j*o - 24, 0 = 4*h + 3*o - 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**2 - 3*o - 19. Let q(s) = s**3 + 19*s**2 + s - 3. Let t(i) = -n(i) + q(i). Determine t(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/11 (b) 72 (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 13*d + 16. Let f(w) = -w**2 - 2*w - 1. Let b(a) = 2*f(a) + l(a). Let s be b(-7). Solve -32*i + 27*i - 15 = s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 465046*a**2*x**2 + 3*a**2*x - 4271*a**2 - 3*a*x**2 - 8*a + x**2 - 5*x wrt x?\nAnswer: 930092*a**2 - 6*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Let a(i) = 18*i**2 + 29*i**2 - 37*i**2. Calculate m(a(o)).\nAnswer: 200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-117)\/(2 - 5) - -1. Suppose 4*w + 4 = 4*r, 3*w = -3*r - d + 19. Let g = 9 - 4. Put 4\/7, g, -0.4, r in descending order.\nAnswer: g, 4\/7, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*v**5 - 142*v**2 + 142*v**2 - v**5 + 0*v**5 + 2*v**5 + (-v**3 - 4 + 4)*(0*v + 2*v**2 + 0*v).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*b - 81, -5*f = -f - b - 114. Suppose 4*c = 15 + f. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d**3 + 0 + 0*d + 5\/12*d**5 + 0*d**4 + 0*d**6 - 13*d**2 + 5\/48*d**8 + 0*d**7. Find the third derivative of b(q) wrt q.\nAnswer: 2100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/2 + 515*s**2\/2 - 513*s = 0. What is s?\nAnswer: 0, 2, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + r - 83 = -24, -55 = 3*m - 2*r. Let i(a) = -a - 47. What is i(m)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + -4. Let j = 11 - -3.5. Let o = j + r. What is the nearest to -2 in 5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -104f1f?\nAnswer: 104f1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-167)\/334)\/((-2)\/(-5)). Which is the smallest value? (a) n (b) -0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (74\/(-6))\/(((-2242)\/(-19))\/(-354))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 3. Let t be h(-4). Suppose -p = -t*p - 60. What is the units digit of (-297)\/p + (-1)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609299 is divided by 203097.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 + 0.22. What is the closest to m in -1\/11, -2, -2\/7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -474 - -475. What is the second smallest value in r, 4, 0.284, -0.3?\nAnswer: 0.284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*a - 9, 5*a = -3*s - 0*s - 4. Let g(t) = -4*t**2 - 2*t - 2. Let k(r) = 3 + 11*r**2 + 6*r - 1 + 3. Let z(p) = -8*g(p) - 3*k(p). What is z(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0262 - 0.1738. Let j = -150 + 239. Which is the closest to -2\/3? (a) 5 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/8)*m*m\/(m*(m\/((m\/((m*m\/(m**(-1\/5)*m)*m)\/m))\/m))\/m) assuming m is positive.\nAnswer: m**(-23\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 890*t**2 - 149049*t\/2 + 231570.\nAnswer: (t - 1860)*(t - 3)*(t + 83)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/17 in -7, 5, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*m - 3333 = 3560 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 5*h**4\/24 + 32*h**3\/3 + 56*h**2. What is q(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524741, 522119, 519497, 516875, 514253?\nAnswer: 511631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(130))\/(sqrt(640) - -3*sqrt(640)) + 5 + 4)**2 + 2.\nAnswer: -9*sqrt(13)\/4 + 5325\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 4. Let s be m(3). Find the third derivative of -2*d**2 - d**s + d**2 + 2*d**4 wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 801098 and 20777?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1595526 and -0.088.\nAnswer: -140406.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*s - 941855 + 400303 = 2382817. List the prime factors of s.\nAnswer: 7, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqegggeqgggqqgege. Give prob of picking 1 q and 2 g.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3304\/(-434) + (25 - 144\/12)\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n - 5. Let b(l) = 41*l**2 - 46*l - 39. Calculate -b(a) + 6*m(a).\nAnswer: -35*a**2 + 4*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 + 3*d - 3. Let v = -56 + 47. Let j(w) = 12*w**2 + 13*w - 13. Calculate v*o(x) + 2*j(x).\nAnswer: -3*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 - -38 - (-18 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/12*(-2 - 0). Suppose t = -3*n + 10. Let k = 37 + -24. Solve 3*h - r = k, 4*h - 4 = -n*r + r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = z - 3*m, m - 2 = 0. Let l = 23 + -17. Let w = z - l. Solve -14 = -2*r - 5*i + 9, 5 = 5*r - w*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - y - 99 = 0. List the prime factors of (y\/(-3) - 3) + (-896)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 3*j + 1. Let r be b(3). Let f be ((-3)\/1 + 2)\/r. What is the third biggest value in f, 5, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(12650\/20))\/((-2)\/(-20))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 7944*z - 2 + 2.\nAnswer: -7944*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - (59 + -53 + 20).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123802 is divided by 684.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-26))\/((-186)\/(-96)*-4).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) 0.09 (c) -4 (d) 8\/39 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/6 + 2*h**3 - h**2\/2 + 5*h. Let m be b(-6). Let d be (0 - -3)\/(-3)*m. Is d >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306106417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 - 7*g - 8. Let i be n(-5). Let b(t) = 131*t - 1. Let f be b(i). Let q = f + -8093\/31. Put q, -1\/3, 2 in decreasing order.\nAnswer: 2, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3933 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73712 and 5516747?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3 = 106*j - 111*j, 4*j = -3*l - 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 42*p**3 + 35*p**2 - 35*p. Let b(t) = t**3 + t**2 - t. Let r be 5 + (0 - 43) - 1. Let k be r + ((-16)\/10)\/((-8)\/20). Calculate k*b(s) + w(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/4 (b) -0.3 (c) 103 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.0904 + 2.5751. Let s = m + -6.7. Let k = -0.0004 + s. Round k to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165 or -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8347 - -8349. Which is the closest to 1\/2? (a) o (b) 258 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41411, 41431, 41451, 41471, 41491, 41511?\n\"Answer: 20*n + 41391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 0*t**2 + 15 - 4 - t**2 - 10*t. Let i be k(-11). Solve i = -3*o - 2*r - 4, -8 = -3*o + 3*r + r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 - 4*z**3 + 16*z**2 + 16*z.\nAnswer: -4*z*(z - 2)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = -3. Suppose 9390 = -2*o + x*o. Suppose 5*h + 4*v = -5830, -4*h - 4*v + 7*v - o = 0. What is h rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**3 + 24*c**2 - 17*c + 92. Give j(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1866353915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 11 - 11 + (-2 - 1 + 2)*(-2*f**3 - 2*f + 2*f) - 7*f**3 + 0*f**2 + 0*f**2.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from gwuswwswsussfsgw?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10)*h\/(h\/(h\/(h\/(h*h\/(h*h*h\/(h*(h*h*(h*h*h*h\/(h*h*h**(-1\/5))*h)\/h)\/h)))))*h)*(((h\/h**(-3))\/h*h)\/h*h*h)\/(h\/(h**11*h)) assuming h is positive.\nAnswer: h**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**2 - 77*k - 77. Let u(h) = -h - 1. Calculate 2*t(f) - 154*u(f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + 5ccd7b5?\nAnswer: 5ccd795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 - r**2 + r + 132. Let w be t(0). Suppose q - 141 = -w. Sort q, 3, -5 in descending order.\nAnswer: q, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1752 - -1375. What is l rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-25) + (-4)\/10. Let f(j) = 0 + 1 - 2 - j**v + 10*j. Is 8 a factor of f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -225 + 259. Let x = -0.0352 - 0.1648. Which is the nearest to v? (a) 1\/4 (b) -3\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.7 + -30. Let v = 1.07 - m. Let u = 0.6357 + v. Round u to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100110100 + 0?\nAnswer: 10100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 5. Let r be x(-6). Let v(s) = 21*s**2 - 2*s - 1. What is the remainder when v(r) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 - 22*t**2 + 37*t**2 - 16*t**2 + (-2*t + 12*t - 24*t)*(-4*t - t + t).\nAnswer: 55*t**2 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 - -223. Suppose h = 4*c + 4*c. Sort 2, c, -3, -6.\nAnswer: -6, -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, s: 4}. What is prob of sequence ssf?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 - 26 = -2*u. Suppose 44 = 76*q - u*q. Solve 3*y = q - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k - k**2 + k**3 + 2*k + 3*k**2. Let m(t) = -2*t + 1. Let j be m(-5). Let a = j - 13. Determine u(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8936, 8959, 8994, 9047, 9124, 9231, 9374?\n\"Answer: p**3 + 16*p + 8919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43405 - a0?\nAnswer: -434a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 237, 301, 475, 813, 1369?\n\"Answer: 9*r**3 + r**2 - 2*r + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12660 (base 7) in base 2?\nAnswer: -110101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(4\/(-4)*(0 - 3)). Which is the third smallest value? (a) -0.3 (b) 1\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 40767*m - 203796. Calculate p(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f**5\/3 - 104*f**4\/3 - 155*f**3\/2 - 227*f**2\/6 + 29*f\/6 + 5\/2 = 0. Calculate f.\nAnswer: -1, -1\/4, 1\/4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 5\/12*o**4 + 0*o - 4*o**2 + 0*o**3 + 10. Let b(r) be the first derivative of -r**2 + 1. Determine b(q(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415308 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5590, -11188, -16808, -22462, -28162, -33920?\nAnswer: -39748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/14)\/(-3) - (-43)\/42?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 89 (c) 76\/87 (d) 0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 4214?\nAnswer: -4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -350513?\nAnswer: -350513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 27 = 3*l. Let i = 12 - l. Find the first derivative of i - 9 + 0*f - 6*f wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (-1*sqrt(8640))\/(sqrt(108)\/(sqrt(9)*-1) - sqrt(12))).\nAnswer: -30*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1729 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.00545 + -0.005444453. Round x to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 6*u**2 - 2*u - 5. Determine g(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2. Let q(w) = w**3 - w**2 + w + 4. Let m be q(0). Let i(d) = m*d + 3*d - 3*d. What is b(i(x))?\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -2\/3, -0.1, -1685\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 4 + (-61 - -55) - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*2*sqrt(147) - sqrt(147)) + 0 + sqrt(147)*1)**2 + 4 - (-5*(-2*sqrt(147) + sqrt(147)) + 5 + -1*sqrt(147) + -5)) + -4 + 1.\nAnswer: -28*sqrt(3) + 21169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*-1*7276\/856.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**6\/30 + z**3 - 10*z**2. Differentiate p(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12775, -16389, -22393, -30781, -41547, -54685, -70189, -88053?\nAnswer: -108271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 11940.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*n + 186, -26*n = -2*d - 19*n + 126. Calculate the highest common factor of 2030 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2020.3 to the nearest 10.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + 1 - (86 + -88)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + p + 14. Let s be w(6). Let d = s + 72. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1723c (base 14) to base 2\nAnswer: -1110001011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -16*r - 10. Let m be 7\/(-42) + 43\/6. Let w(n) = 11*n + 7. Give m*w(u) + 5*v(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3636 by -609.\nAnswer: -1212\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21599?\nAnswer: 21599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -178*l + 182*l + 24, 0 = -4*v - 3*l - 18 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + (4 - (-2 - -4)). Let b = a + 9. Suppose -v - b = -12. Which is smaller: 8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 764 - -721. What are the prime factors of u?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -16. Let i = -637\/4 - -160. Let z = -1.2 - -1.6. Which is the closest to z? (a) i (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 326.837324 and 188?\nAnswer: 138.837324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 109457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 0*v + 0*v + (12*v**2 + v**2 - 3*v**2)*(-8*v**2 + 32*v**2 + 76*v**2).\nAnswer: 998*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -102022687*w - 162275845?\nAnswer: -102022687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*f = 0, -4*a - 7*f + 2*f = 0. Suppose a = -11*d - 14*d + 438250000. Round d to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 130082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -564 - 186. Suppose -b = 3*y - 461. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let u be 1 + (-4)\/10 - 118184\/199240. Is u at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7 + 6*q - 7.\nAnswer: 6*q - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -4*l, 1 = -3*l - 2. Let b = h + 6. Put 4, -5, b in ascending order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - l - l + 3*l in the form w*l + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*-9*(-10)\/(-105). Let x(v) = 263*v + 44. What are the prime factors of x(a)?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 71. Suppose 260 = a*k - 13*k. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgg when three letters picked without replacement from grgpgggggr.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*i - 3*c - 4, 0 = -2*c - 8. Let y be (18\/(-15))\/(6\/(-40)). Let n be i*(-2)\/y*-10. Solve o + 18 = -4*q + 4*o, 0 = q + 4*o - n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m = -484*a + 488*a - 168, -m = 4*m + 2*a - 60 + 12 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 18*o = -4, -5*y + 3*o = -79. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Let w(n) = 2*n**2 - n + s*n + n. Let r(i) = 3*i. What is w(r(c))?\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1210346634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-2)\/(-4))\/2. Let m(p) = -3*p + 41. Let y be m(14). Which is greater: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1199303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 572904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*y - 79*y = 320. Let r = y + 95. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5)*p\/(p\/p**(-3\/8)))**19 assuming p is positive.\nAnswer: p**(-589\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (-54)\/(-24)*-3)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 40 = 3*v. Suppose -v = -3*i + 2*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 3*d**2 + d**2 + (0 + 0 + 3*d)*(2 - 2 - d) + 3*d**2 - 13 + 13.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -136*z**2 + 67*z**2 + 37*z + 77*z**2 + 64*z - 4*z**3 - z - 200 = 0. What is z?\nAnswer: -5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 4*x)*(-1 + 2*x + 1) - x**2 + 6*x**2 + 0*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -355 + 363. Let v be 1\/(2\/2) - 9. Let b = 11 + v. Solve u = 3*k + b*u + w, -3*k - 4 = -2*u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124463*h = 124152*h + 5598 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*j - 34063 = -50992 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 5*y**2 + 7*y - 6. Let g be d(4). Let h(f) = 7*f**2 + 12. Let k be h(g). Let u = -178 + k. What is the remainder when u is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 2 - 5*f + 3 - 6 + (-5*f**2 + f**2 + 2*f**2)*(-2 + 2 + f).\nAnswer: -3*f**3 - 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + 2*x**2 - 2*x + 1. Let z = 14 + -13. Let c be h(z). Solve -3*v + 20 = v, 17 = -q + c*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 20. Suppose -y + 12 + s = 0. What is the least common multiple of 2 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 + k - 5. Let w be u(-4). Let s(f) be the first derivative of f**2 + 17*f + 5. Let z be s(w). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 17 = -3*t. Suppose 18 = -3*w - 3*o, 5*w - 1 - t = 3*o. Calculate the smallest common multiple of w - (-1 - 0) - -18 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/8, -9, -23 in decreasing order.\nAnswer: 1\/8, -2, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 665 - 754 = 0. Calculate the highest common divisor of 43 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {t: 2, n: 5, q: 2, y: 2, u: 1, a: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -37*p**5\/20 - 12*p**2 + 37*p - 7. Let k(c) be the first derivative of o(c). What is the first derivative of k(z) wrt z?\nAnswer: -111*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -768 - -772. Solve c*j - 78 = -86 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 14*l**2 + 0*l**3 + 0*l + 1\/120*l**6 + 1\/10*l**5 + 0 + 1\/4*l**4. Suppose 5 = -2*x + x. Give t(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1669*y - 2*y**3 + 1 + 1667*y - 4*y**2 - 5. Calculate the smallest common multiple of z(-3) and 25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0.4. Let j = -0.3 + a. What is the second smallest value in j, -4, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + 0\/(1 - -1). Let z be (-11)\/4 + 6\/8. Let y = c - z. Let i(x) = -x - 1. Let n(g) = 2*g**2 - 6*g - 6. Calculate y*i(j) + n(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1*g**(-8\/7))\/(g**(-5)*g*(g\/(g\/g**10))\/g) assuming g is positive.\nAnswer: g**(-29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 101?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -1, 0.2124?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, -5, 5, -1, -1706 in descending order.\nAnswer: 21, 5, 0, -1, -5, -1706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = 6*c - 2223. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50757*o**2 - 3*o + 165510.\nAnswer: 101514*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:45 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3))**(1\/11))**(-39) assuming w is positive.\nAnswer: w**(117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581408667?\nAnswer: 3, 7, 127, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 - 21 - (-2 + 1792\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (-4)\/((-20)\/(-35)). Suppose -23*n = 293 - 86. Sort -1, -2, n, c.\nAnswer: n, -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0557*4\nAnswer: 0.2228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 24 = 22*s, 0 = 3702*p - 3701*p - 4*s - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frxy when four letters picked without replacement from {y: 4, r: 2, x: 4, f: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 22063200?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9, y: 5}. What is prob of picking 3 y and 1 w?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 620802 divided by 39\nAnswer: 15918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6701 divided by -3.\nAnswer: 6701\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.18497 rounded to two dps?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7693102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*f + 5417 + 604 = 0, -3*o = 3*f - 18123. Suppose -2*s - 4*z = -3028, z + o = 4*s + 4*z. What are the prime factors of s?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.905193 rounded to 1 dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11319875249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -49*t**6\/24 - 7*t**5\/20 - 7*t**4\/8 + 1179*t**2 + 1. Let j(c) = -49*c**3 - 4*c**2 - 4*c. Calculate -4*h(m) + 21*j(m).\nAnswer: -49*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let f be (n + 2)*8\/6. Suppose -f*i = i + 4*t - 138, 4*t - 48 = -2*i. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 4*f**2 - 6*f + 6. Let s be n(3). Let b(y) = 6*y - 1. Let v be b(1). Put -6, v, s in decreasing order.\nAnswer: v, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3989 - 1753. What is the greatest common divisor of r and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/2*u - 1\/2*u**3 + u**2 = 0. What is u?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2207 - 55?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 6. Let t(d) = 3*d - 10. Let m(l) = 10*o(l) - 6*t(l). Let r(v) = 5*v**2 - 2 - 2 + 3 - 2*v**2. Determine m(r(c)).\nAnswer: 6*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -507*w**3 + 259*w**3 + 246*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c26 - 662?\nAnswer: 15a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/495*(-10252)\/6990?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80141*w**3 - 32540.\nAnswer: 240423*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/4 + 9350\/1400. Find b, given that -8\/7 - 92\/7*b**3 - 108\/7*b**2 - 4*b**4 - y*b = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548 = 2*u - 178. Let s = -641\/7 + 1942\/7. Let g = s + u. What is the biggest value in 3\/5, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 = -2*w + 4*s, -1 - 4 = s. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 + 2*v**2 + 3*v + 3. Let z(w) be the second derivative of 11\/6*w**3 + 11\/2*w**2 + 7\/12*w**4 + 3\/4*w**5 + 2*w + 0. What is -22*j(a) + 6*z(a)?\nAnswer: 2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3647?\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3091296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11120222132 (base 4) in base 3?\nAnswer: -2122201112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 219*c**3 + 5*c**2 + 5*c + 4. Let a(n) = 109*n**3 + 3*n**2 + 3*n + 1. Let f(g) = -5*a(g) + 3*y(g). What is the first derivative of f(v) wrt v?\nAnswer: 336*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*q*t**3 + 680*q*t*x + q + 5*t**3*x + 31503*t**3 wrt q.\nAnswer: -6*t**3 + 680*t*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-162)\/(-45))\/((-180)\/(-200)). Solve 6*u + 14 = r*a + 5*u, -4*a + 4*u + 20 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1674 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1256 - 4*b**2 + 1255 - b - 10*b**2. Determine m(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Suppose -f*n + 8 = -4. Let b(o) = -3*o + o + 2*o**2 + 5*o + 1 - n*o. Determine b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19315408*o**2 - 86683863 with respect to o.\nAnswer: -38630816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 7*k**2 - 3*k + 1. What is the remainder when z(8) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.02482 and -0.2?\nAnswer: 3.204964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/12 + j**3\/3 - j**2 + 12*j. Let i(d) = -d**2 - 3*d + 1. Let u be i(-4). Calculate c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 1\/2*j**2 + 0*j**6 + 4\/3*j**3 + 0*j**4 + 141 + 0*j - 11\/7*j**7 + 1\/5*j**5. What is the third derivative of t(s) wrt s?\nAnswer: -1320*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18402 (b) -6 (c) -67 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0 - 1\/24*h**4 + 0*h + 1\/6*h**3 + 125*h**2. Let g(l) = -1. What is 2*b(v) + 3*g(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m. Let b(o) = o**3 - 9*o**2 - o + 12. Let w be b(9). Let j be a(w). Let n = 2 + j. Solve -4*l = 2*c + n, 4*l + 18 - 1 = -5*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2 - ((-78)\/8 + 12)) + 2. Which is the third biggest value? (a) 2\/7 (b) j (c) -13\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2101022212 (base 3) to base 12\nAnswer: -2317b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(-9*k - 880 + 880) + 5*k - 2 + 3 - 3*k.\nAnswer: -7*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 24*i - 2. Let q(m) = m**2 + 12*m - 1. Let s(r) = 7*q(r) - 4*w(r). Let b be s(-5). Suppose -d - b = 3*d. Round d to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234172 is divided by 1593.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -1745*a**7\/7 - a**4\/12 - 352*a**2 - 8443*a. Find the third derivative of m(u) wrt u.\nAnswer: -628200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721*c + 350*c - 634*c.\nAnswer: -1005*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/5 + 37\/15. What is the second biggest value in n, -10\/47, 5\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 23*s**2 + 18*s - 121. Let j(m) = -12*m**2 - 9*m + 69. Determine 7*j(g) + 4*q(g).\nAnswer: 8*g**2 + 9*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put together -655 and -3.\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5048*d**3 + 6*d**2 + 6*d. Suppose 2*a + 34 = -w, -5*w = -a - a - 46. Let m = a - -14. Let v be c(m). What is v rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f - 300 = 87 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(7 + -2)*-3 + 1311\/(-95)*-2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0.858, 2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*k - 2*k. Let x be (35\/28)\/(k\/(-8)). Suppose 2*g + 3*v + 6 = -8, x*v + 20 = 0. Which is the closest to g? (a) -1 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l**2 + 1017*l + 148. What is b(-67)?\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 37536578.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 103. Let g(o) = -o**3 - o + 2. What is the smallest common multiple of g(-2) and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w - 4*z = 66, -5*w + 110 = -2*z. What is the remainder when w is divided by (-1)\/(12\/(-9))*(2 - -14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/48*(-10)\/(-35).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 203. Let l(k) = 2*k + 199. What is -4*a(t) - 5*l(t)?\nAnswer: -2*t - 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 940219 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbcggcbbcgccc. Give prob of sequence bcg.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - -92. Suppose -2*n + 30 + s = 0. Suppose 4*q = n + 34. Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*t + 10, -2*u - 2*t - t = 25. Is -2 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 10:56 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**8\/168 + 16*j**7\/105 + 5*j**5\/6 + j**2 - 20*j. Find the third derivative of k(l) wrt l.\nAnswer: 120*l**2 + 768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = 9. Suppose 9 = -t*j + 5*x, -5*x + 4*x = -5*j + 12. What is the remainder when (-85)\/(-10)*(-1 + j) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g - g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 - -116. Let d = 25 + -15. Let u = g - d. Which is the smallest value? (a) 0.3 (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**5 + 43917*w**4 + 1797*w**2 + 12*w.\nAnswer: 60*w**2 + 1054008*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -155 + 53?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005938635052 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 179 = n, 5*n - 3 = 12. Suppose 3*b - w = -2. What is the remainder when ((-4641)\/204)\/((-7)\/12) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00115321 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-21)*(-1 + 4). Let o = i - 19. Let a = o + 19. Which is smaller: -1\/12 or a?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 102\/(-4) + (-21)\/(-14). Let c(j) = j**3 + 27*j**2 + 73*j + 21. Let m be c(i). Let k(w) = w**3 + 2*w**2 - w + 2. Give k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154616 is divided by 25679.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/91*287\/(-246)*4*(-43)\/2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15*g**3 - 5*g**2 - 4*g + 15. Let z(o) = o**3 + o**2 + o. Let m(q) = -l(q) - 5*z(q). What is the first derivative of m(p) wrt p?\nAnswer: -60*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 104*q = 113*q - 23739. What is the highest common divisor of q and 14391?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19626 + 19656.8014. Let f = i - -0.1486. Let r = -30 + f. What is r rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 29*h**2 + 13*h + 17. Let b be v(14). Solve 5*t + b*i - 5 = 0, 5*t - 5 = -4*i + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/((-24)\/(-16)). Let b be a*-2 + 5110\/120. Let y = b - 199\/4. Find the common denominator of -101\/22 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468*g - 470*g = -16. Solve 0 = -22*c + 26*c + g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1188 + -1187.6. What is the third biggest value in -1, 2\/9, b, 1, -0.19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -9*t + 32 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3520 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 53.04581 years?\nAnswer: 0.05304581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677887 is divided by 220?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -2162?\nAnswer: -2166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10\/13 (b) -11 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 != -159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 244 - 600 = 0. Let m = -13 - k. Suppose -m = 19*a - 22*a. List the prime factors of a.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 54322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f + 3*f + 15, -2*v + 2*f = 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 3*f**2)*(0 - 6 + 3) - 118*f**2 - 13*f**2 - 23*f**2 - f + f**2 + f to the form g + x*f + m*f**2 and give m.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-5) + 0)*(-490)\/147?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 12:05 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11426 is divided by 293?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(6\/19)*(q*((q*q**(-27))\/q)\/q*q)\/q assuming q is positive.\nAnswer: q**(-507\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 16324 = 3*y, 0 = 3*z - 4*y + 2*y - 9794. What is the least common multiple of 4 and (z\/69)\/((-1)\/(-6))?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -56*h + 15. Let u(p) = -585*p + 156. Let g(j) = 52*r(j) - 5*u(j). Let z(f) = 2*f + 23. Determine g(z(s)).\nAnswer: 26*s + 299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from eyxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11645 - 5823 - 5822 - 12*p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4 + 7*y - y**3 + 3*y + 5*y**2 - 2*y. Let g = 263 + -257. Calculate r(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 1 - 1)*(-788*j + 788*j - 141*j**2)*(2*j - 5*j + 6*j).\nAnswer: 1269*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 - -4) - -3 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (2 - (3 - 1)). What is the tens digit of 6*(a - 3\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - 84 - (9 - (-6 - -46)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*j**4 - j**4 - 12*j**4 + 13*j**2 wrt j.\nAnswer: -504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 + 2*l - 2*l + (1 + 1 - 3)*(412*l - 410 + 410)*(0 - 3 + 2)*(-7*l + 2*l + 2*l).\nAnswer: -1232*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -350316 divided by -1\nAnswer: 350316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10138*z**2 + 14192*z**2 + 2*z + 1890*z**2 - z.\nAnswer: 26220*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(228) + sqrt(228) + sqrt(228)*1*5)\/(-2*sqrt(1200)).\nAnswer: 21*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -254560 by 10.\nAnswer: -25456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 42*a + 38*a - 67*a. Let u(m) be the first derivative of -m**2 - 29. What is z(u(i))?\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 439620 (base 10) to base 6\nAnswer: 13231140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*5*-3)\/(sqrt(2916) - (sqrt(2916) - sqrt(2916)*-2)).\nAnswer: -5*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 74*s**2 + 677*s + 33306. Calculate v(-71).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 0)*(-1 - 1 + 1) + 5 - 2 - 2)*(20*n - 1010811 + 1010811 + 2*n**2 - 4*n**3) to t*n + s + l*n**2 + k*n**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -247 - 95*v - 19*v**2 + 14*v**2 + 347 = 0. What is v?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/(-27)*-31 - (-4)\/(-18). What is the tens digit of (-6)\/15 + (-34668)\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -8*z + 4*z + 743, 749 = 4*z - m. Suppose -19*y + 2*y = -z. Solve 14*n - y*n = 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2645 - 7933\/3. What is the third smallest value in -0.5, h, -510?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 39.5. Sort x, 2\/7, 3 in descending order.\nAnswer: 3, 2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32746 is divided by 938.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, -0.5, -1.07.\nAnswer: -141, -1.07, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -125, -155, -197, -251, -317?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19563 + 19563 - 9*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 1\/11 (c) -4 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -679*i*k**4*s - 2*i*k**2 + 33*i*k + 2*k**4*s - 3*k**3*s - 1296*k*s wrt k?\nAnswer: -16296*i*k*s + 48*k*s - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -1\/2 (b) -33554 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven halves of a millennium?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39824 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 1992, 6144, 14234, 27576, 47484?\nAnswer: 75272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*s = -191*s + 180 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1069 + 1069 + p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 26*y - 31*y, 2*y = 2*h + 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162221 or 2?\nAnswer: 162221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165\/(11\/1))\/((-90)\/60)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1080)*1)\/(2*sqrt(150)*-2).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-60)*3)\/(0 + -1). Is 1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*sqrt(153)\/(sqrt(18)\/sqrt(2))*-2 - ((-1 + sqrt(68))*6*3 + -1).\nAnswer: -30*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1900481?\nAnswer: 11, 17, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 - -9.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/112)\/(25 + 90\/(-12) - 13)?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18686080 and 1360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -48\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 284 and 93258.\nAnswer: 13242636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15352991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/4 + 10\/(880\/374). Solve -2*f + 4*a - 14 = f, 2*f + s*a - 29 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162+-0.03\nAnswer: 161.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.252609 centuries?\nAnswer: 225.2609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 15. Let n = 32 + k. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 7. Let j = 38 - 29. Let r be y(j). Let x be (-6)\/r - (-39 - -20). Solve 2*n + 2*n = -k - x, -k = -5*n - 29 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 8*k**2 + 7*k - 2. Let v be z(7). Let r = -14 - v. What is the units digit of (-40)\/r + 2\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, w: 1, t: 2, z: 1}. What is prob of picking 2 l, 1 z, and 1 w?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6110542 to the nearest integer?\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/5 - 55*k**4\/3 + 116*k**3\/3 + 224*k**2 - 161*k. Let w(o) = 0. Calculate o.\nAnswer: -56, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1057640 or -5288206\/5?\nAnswer: -5288206\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33054 (base 11) to base 13.\nAnswer: 18ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10371449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i + 8. Let s be (32 + -10)*(-1)\/2. Let t be v(s). Let x = 20 - 13. Calculate the highest common factor of x and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 3 + 5*c - 706*c**2 + 705*c**2)*(-35*c + 60*c - 339*c) as a + j*c**2 + w*c + s*c**3 and give w.\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 t when four letters picked without replacement from {t: 5, a: 1, q: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 12*r**2 + 12*r + 14. Let y = 6 - -5. Let l be i(y). Calculate the greatest common factor of l and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -7. Let f be 10\/(-55) + 150\/y. Is -7 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 559*d**3 + 12*d**2 + d + 560*d**3 - 1118*d**3 to the form t*d + q*d**2 + i*d**3 + z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 + 36\/28. Let i be d\/((-2)\/4) - 0. Let z be i + 3 + -1 + -6. Let f(l) = l + 4. Calculate f(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 32003402122?\nAnswer: 32003402122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rhhhhhhhhhhrhrhrhrh.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -377 + 699. What are the prime factors of d?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 395\/8 - 4361\/88. Let h be 1\/(-3 - 76\/(-24)). Which is the closest to m? (a) h (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) 8 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*(h\/((h**(-19)\/h)\/h)*h)\/h*h**(-6\/5))\/(((h*(h**(1\/8)*h)\/h)\/h)\/h*h*h*h*h\/(h*h**(-18))*h) assuming h is positive.\nAnswer: h**(107\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 5 + sqrt(2)*1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7 - 1 = 0. Let c(o) = o + 1. Let l(y) = 2. Let g(s) = q*c(s) + l(s). Let v(f) = 4*f. What is g(v(x))?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5280)\/2464)\/((1\/196)\/(45\/180)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816592540 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 4. Suppose -3*g = s*g - 40. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:09 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1029 and 51084537.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -13\/4, 0.6, 3?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 - -3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 10288625.\nAnswer: -3\/10288625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1305, -2575, -3845, -5115, -6385?\n\"Answer: -1270*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2291 + -9081\/4. Let v be (-4 + 2 - -72)\/1. Calculate the common denominator of m and v\/(-16)*(-12)\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s + 11. Let f(j) = j - 6. Let c(i) = 2*f(i) + y(i). Let a(x) = -6*x**2. Let d be a(1). Determine c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 118723376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9961.442 milliseconds in microseconds?\nAnswer: 9961442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t**2 - t - 25. Let u be q(0). Let r = -9 - u. Solve 0 = 4*m + 4 + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318872.63 rounded to the nearest one hundred?\nAnswer: 318900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3\/3 + m - 11. Let v(t) = 6*t - 1. Give g(v(h)).\nAnswer: 12*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -0*z. Let k(r) be the second derivative of -r**5\/20 + r**4\/4 + r**3\/2 - r**2 - r. What are the prime factors of k(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4160.8357 - -4160. What is y rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 14*d + 25. Let t(a) = 2 + 2*a - 2*a + 9*a. What is the lowest common multiple of t(2) and c(-13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10442 = 4*u, -2*u - 2*p + 4315 = -909. List the prime factors of u.\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 942 - 942.853. Round p to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**3 - r**2 + r + 1. Let j be u(1). Differentiate 2*m**2 + 2 + m**j - m**2 wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -183332*j**3 - j**2 - 9*j. Let p(y) = -45833*y**3 - 2*y. Let q(n) = 2*k(n) - 9*p(n). Let x be q(-6). What is x rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 625*n + 441 - 287 - 533 wrt n.\nAnswer: 625","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8807, -17592, -26385, -35186, -43995?\nAnswer: -52812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 3. Let i(u) = u**2 - u. Let q(f) = i(f) - m(f). Let h(p) = p**3 - 5*p**2 - 7*p + 8. Let b be h(6). Determine q(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 375*j + 3192.\nAnswer: -3*(j - 8)*(j + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55670 is divided by 369.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.95356 to 2 dps.\nAnswer: -1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(13\/3)*m**(-2\/23))\/(m**(4\/3)*m**(-5\/6)) assuming m is positive.\nAnswer: m**(655\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 457, 911, 1363, 1813?\n\"Answer: -k**2 + 457*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 14) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 16. What are the prime factors of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -2, -19, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 85.301 - 0\nAnswer: 85.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1159376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169681786?\nAnswer: 2, 31, 571, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (-3 + (sqrt(288) + (sqrt(288)*-1)**2 - sqrt(288)) - (-2 + sqrt(288)*-2)**2) + -1.\nAnswer: -868 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n + 8 = -t, t - 2*n = -23. Let y(b) = -b**2 - 17*b - 5. Determine y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a. What is the remainder when 68 is divided by b(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 7*c**2 - 216*c - 1771. What is d(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtjjmdtdmt. Give prob of picking 1 m and 1 d.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56.889 + -0.111. Let x = y + 170. Let t = x + -118. Which is the nearest to -2\/3? (a) 3\/8 (b) 0.06 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2)*-5 - (sqrt(2) + sqrt(2) + -2 + sqrt(242))) + (6*(-3*sqrt(10))\/sqrt(5)*-4)**2.\nAnswer: -3*sqrt(2) + 10370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 202 + 1330*r + 90.\nAnswer: 1330*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6098, 6049, 5974, 5873, 5746?\nAnswer: 5593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 1, f: 1, l: 4, p: 1, c: 9}. What is prob of picking 1 p, 1 j, and 1 l?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 10, -7, 7\/5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 2*a. Let t be (2\/3)\/((-6)\/153). What is the least common multiple of (-3)\/(-3)*-1 - t and f(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 33*o**2 + 401*o - 27. Let z(f) = 27*f**2 + 401*f - 22. Give -4*n(b) + 5*z(b).\nAnswer: 3*b**2 + 401*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251080161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 85*n**2 - 248*n - 169. What is a(-82)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/40014 and -62\/153387.\nAnswer: 920322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50198*c**3 - 8*c**2 - 255726*c + 2 wrt c.\nAnswer: 301188*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:47 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73197522 - -73197719.9999822. Let g = o + -198. Round g to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*g + 403*g + 390*g in the form v*g + n and give v.\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s + 3. Let t(k) = 11*k + 5. Let v(c) = -9*j(c) + 4*t(c). Let m be v(-9). What is the third derivative of -3*l**2 - 18*l**6 - 8*l**2 - m*l**2 wrt l?\nAnswer: -2160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*17386\/95623.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*r - 135*r + 2*z - 34 = 0, -67*r + 594 = 89*r - 2*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**3 + 26*w**2 + 13*w + 12. Let i be o(-2). Solve 43*y - i*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 4, -3, 1, -967 in descending order.\nAnswer: 4, 1, 0, -3, -9, -967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536530644?\nAnswer: 2, 3, 13, 283, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 4*q**5\/5 - 5*q**4\/4 - 5*q**3\/3 - q**2\/2 - 4. What is the third derivative of l(s) wrt s?\nAnswer: 96*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 4 = 0. Let x = 3 - -1. Let y be (3591\/(-126))\/(((-9)\/x)\/3). Sort t, y, 1 in descending order.\nAnswer: y, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v. Suppose 4*c + v*b = 2*b + 88, 4*b + 84 = 4*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*h + 23, 2*h + 4 + 4 = 0. Let d be 20\/(-6)*(-12)\/10. Let x be ((-7)\/((-7)\/30))\/2. Solve 0 = g + l*g + 5*j + x, d = 4*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = r - 11, 0 = 4*s + 132*r - 127*r - 1 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -79. Suppose v*x - 11446 = -c + 11721, -3 = -c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 8, y: 3, r: 4, v: 2}. What is prob of picking 2 v and 1 t?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhe when three letters picked without replacement from {e: 2, r: 1, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 4:56 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 - 6785*p**2 - 34080*p + 40860 = 0.\nAnswer: -6, 1, 1362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 15*q + 8*q - 36 - 33 + 9*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o + 1165 = -184*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-136)\/(-119)*-56).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.01089 and 13\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 352572369 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + (-5 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from jdddmdj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 + 97. Which is the closest to 2? (a) m (b) 9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/803 and -9\/146.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 60 = 19*o. Let k be 1\/60*2 - (-10)\/75. Suppose -k*d + 0 + 1\/6*d**o = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1696 * 0.15934.\nAnswer: 270.24064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*2)\/sqrt(12) + 5 + sqrt(18) + -1.\nAnswer: 4 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92850 is divided by 159.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 5*d - 5, g - 8*d + 4*d = 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 8*j - 8. Let w(r) = r + 1. Let g(u) = o(u) - 2*w(u). Let l be g(-10). Let d be l\/(-15) + (-8)\/9. Are 1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - -3.01. Which is the closest to 0? (a) q (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 5) in base 10?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from {u: 1, n: 5, x: 1, y: 9}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -73*n**5 + 125*n**2\/2 - 127. What is the second derivative of q(b) wrt b?\nAnswer: -4380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b960 (base 15) in base 10?\nAnswer: 494865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000691204113 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 - 6*n**2 - 2*n - 7. Let l(o) = -o**3 - o + 2. Let f(u) = -4*l(u) + x(u). Calculate f(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 13*i + 2. Suppose 0 = -5*j + x + 39, 28 = 4*j - 0*j - 4*x. Calculate the least common multiple of j and m(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4008, -4\/5, 17064?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1433\/83505 + 4\/293. Is -1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 5*z**2 + 1228*z + 7379. Let m be p(-6). Solve -m*s + 8*s + 117 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99437214 is divided by 2981?\nAnswer: 2978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004525 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10450*o**6 + 5234*o**2 wrt o.\nAnswer: -1254000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 + -115. Let u be (-729)\/(-7) - (-1)\/(s - -1). Let p = 143 - u. Calculate the remainder when 233 is divided by p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.308 - 100008.1.\nAnswer: -100030.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 (base 9) in base 15?\nAnswer: -14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*f - 4*g, -5*f + 3*g - 37 = 35. Let n be (45\/f)\/5 + 1 + -1. Suppose 2*w = 5*w - 3. Which is the nearest to w? (a) n (b) -8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 17*x**6\/3 - 71*x**2\/2 - 30*x + 4. What is the derivative of o(p) wrt p?\nAnswer: 680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*q**4 + (4*q - 4*q - 3*q**2)*(2*q**2 + 0*q**2 - 4*q**2) - 71*q**4 + 225*q**2 - 225*q**2.\nAnswer: -63*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -4, 8, -5, 5, 92 in descending order.\nAnswer: 92, 8, 5, -2, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 286.0000628 - 286. What is r rounded to six decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18360\/210 + 350\/(-245)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 39 = 5. Let p = -169 - -200. What is the remainder when p is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11928 < -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let z(k) = -386*k**2. Give f(z(m)).\nAnswer: 386*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 96801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 - 3*q + 1. Let m(n) be the second derivative of 7*n**4\/12 + 5*n**3\/6 - n**2 - 5*n + 3. Suppose -2*i - 30 = i. Give i*u(c) - 6*m(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 2 + 4 + 0)*(2 - 4*i**2 - 2) in the form f*i + m + t*i**2 + g*i**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from wwwwnjwwpnwjpwwjjjj?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i**2. Let m(h) be the first derivative of -h**3\/3 - 4. What is m(v(a))?\nAnswer: -100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, 42\/13, -2\/39, 2 in decreasing order.\nAnswer: 42\/13, 2, -2\/39, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10505215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-13) + 20800\/10816. Let t(h) be the first derivative of -34 + 3\/2*h**a - 7*h. What is the derivative of t(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456458279.\nAnswer: 17, 59, 455093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-49)\/2331*(-58)\/(-203)) - 13?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**5\/120 - q**4\/6 - 2*q**3\/3 - 2. Let c(n) be the third derivative of t(n). Let v = 60 + -65. Calculate c(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3 - (0 + 0). Suppose 0 - 21 = -l + 3*g, -5*l + u*g + 165 = 0. Suppose -5*w + l = a, 3*w - 3*a = -w + 25. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) - ((-6)\/(-15) + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 547?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1869347501 to the nearest integer?\nAnswer: 43236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22854*c**2 - 792*c + 6.\nAnswer: 45708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6262 + -6261.999991104. Round y to seven dps.\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/35)\/(-9*44\/(-693)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-130)\/13)\/(1 - -1). Calculate the remainder when (15 + -10)*(-1 + (-81)\/u) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (13 - 0 - (552 - 488)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 0)\/(37\/(-19388)).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - 3*b + 3*b + (-9*b + b**3 + 9*b)*(-3*b - b + 2*b) + (0*b**3 + 4*b**3 - 3*b**3)*(-2 + 2 + 2*b).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -172503\/23630 + 2\/11815. Calculate the common denominator of -91\/20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 2a6b?\nAnswer: -2a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*z + 105, 43*z - 41*z - 4*m = 46. Let c = -13 - -18. Solve -5*n + 2*u - 26 = 0, -5*n = -n - c*u + z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6285 = -3*h + 14463. Let s be 16\/(-20) + 1 + 14\/105*36. What is the second derivative of h*v**5 - 15*v - 6874*v**s + 58*v wrt v?\nAnswer: 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d - d - 4*d)*((d - 2*d + 3*d)*(-3*d + 3*d - 2*d) - 13*d**2 + 22*d**2 + 19*d**2) to p*d + a + r*d**3 + b*d**2 and give r.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*t - 100, -6*t + 3*t = -v + 60. Let n(q) = q**2 + 20*q. Let h be n(t). Solve 0 = 2*o + o - i + 15, h = 3*o - 2*i + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27540 and 48?\nAnswer: 110160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -71\/106 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (75\/(-21) - -1)\/((-105)\/490). What is the greatest common divisor of g and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123095785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1393, -1395, -1397, -1399?\nAnswer: -1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -7*g**2\/2 + 7*g - 21. What is v(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20839363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) 1\/5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -42*f + 29. Let s be t(3). Let q = 122 + s. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34679637 and 758?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 48*z**5 + 111*z**4 + 177*z**3 + 48*z**2 - 33. Let q(a) = -3*a**5 - 7*a**4 - 11*a**3 - 3*a**2 + 2. Let h(j) = 2*o(j) + 33*q(j). Factor h(m).\nAnswer: -3*m**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/12 + 11*u**3\/6 + 2*u**2 + u. Let g be i(-11). Which is the second biggest value? (a) 0 (b) 4\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/9, 3, -58374, -2\/7 in decreasing order.\nAnswer: 3, 16\/9, -2\/7, -58374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401, -401, -379, -323, -221, -61, 169, 481?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 17. Let d be 0 - 6\/3 - s. Factor 78*t**3 - 16*t + 4*t - 8*t + 60*t**2 + 21*t**d - 4*t.\nAnswer: 3*t*(t + 2)**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 4. Is i(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.71072+5\nAnswer: -24.71072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/8)\/((-20)\/(-16)). Let w = -4 - -4.2. Which is the third biggest value? (a) 1\/3 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/(-6) + 2 + 4 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(-5*4*sqrt(3)))\/(sqrt(324)*-1) + 3.\nAnswer: sqrt(13)\/180 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9493 = k + 4*y, -4*k + 7594 = 3*y. Let t = k - -4170. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -27*t - 11. List the prime factors of v(-3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102241 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1366 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 + 0.18. Let b = 2 + -2.1. Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35200 and 828750?\nAnswer: 583440000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -329 + 333. Solve w = 0, 2*x = -3*w + k*w - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584662, 1169325, 1753986, 2338645?\nAnswer: 2923302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + h = 5, 5*z = -h + 29 - 8. Solve -4*m - 2*b = -0*b - z, 2*b = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 1 = -5*u + 3*u, -6 = -2*y + 4*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 + 449912052*z\/7 + 25302606816856338\/7.\nAnswer: 2*(z + 112478013)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:41 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -631, 1101\/2 in increasing order.\nAnswer: -631, 13, 1101\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4810481407?\nAnswer: 37, 130013011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/15, -30, -0.4, -5, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - -145. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 3*y**2 - y - 1. Let u be x(-3). Suppose 62 = u*r - 5*c + 5, 2*r - c = 53. Is r a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1864.07 rounded to the nearest integer?\nAnswer: -1864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-16)\/(-96))\/(51\/(-18) + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*y + 8. Let g = -3 - -3. What is the nearest to 0.1 in 3, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75855364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-1))\/((-4)\/(-2 - 2)). Suppose -122*d = -119*d. Solve -w + 0 + f = d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9968 divided by 7\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.7 + 20. Let k = t + -34.4. What is the closest to -0.1 in -1, k, 45?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*h = -24, 4*i + 3*h + 2*h = -4. Let d(j) = -j + 4. Let o be d(i). Let r = 11 - 6. Solve q + 4 = 3*c, 30 = 3*q - o*c + r*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Let p be (x\/(-2))\/((-1)\/14). Let f be 4\/p*(-4)\/8. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggeiiviiigiqgie. Give prob of picking 1 v and 1 e.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -726, -1603, -2818, -4365, -6238?\nAnswer: -8431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70472876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v**2 - 1)*(4*v + 2*v - 3*v)*(-38 - 2*v + 38).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 455*l - 6385. What is m(14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/3 - ((-1210)\/(-1452) + (-10)\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928386.\nAnswer: 2, 3, 51577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 825511321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1364317.\nAnswer: 13643170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*r = 46, -35408*r + 8 = -35410*r for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + n - 27, 0 = 5*y + 2*n + 50. Let i(o) = -o**3 - 7*o**2 + 2*o - 4. Let l be i(y). What is the highest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 186 (c) 1.9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 337, -69, -0.1, 2, -2 in ascending order.\nAnswer: -69, -2, -0.1, 2, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 126768 and 5594.8?\nAnswer: 121173.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 - 68. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196797.9l to millilitres.\nAnswer: 196797900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j**4 + 26*j**2 + 0*j + 0 + 1\/120*j**6 - 11\/30*j**5 + 40\/3*j**3. What is the first derivative of m(s) wrt s?\nAnswer: 3*s**2 - 44*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 2*v + 0*v)*(-3 + 0 + 2) - 2*v + 0 + 0 + (5*v - 12*v + 17*v)*(3 - 5 + 3) - 4*v + 2*v + 3*v as b*v + n and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160154?\nAnswer: 2, 80077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17\/12 - 13\/12. Determine h so that v*h**3 - 2*h**2 + 3*h + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 105 = t + 2*z, t - 43 = 4*z. Let q = t - 5. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15136 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53150 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8\/14*108\/(-8)*(-5208)\/5022\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 305\/22 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 151*f + 814. Determine i(-12).\nAnswer: -998","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w + 13*w - 11*w.\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6993279262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 0 + 10\/3*k**3 - 5\/2*k**2 - 5*k. What is the units digit of x(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 + 18 = -40*g + 293 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 37 = 7. Let i be -5*(-2)\/(-12)*t. Solve -i*s = p + 1, 2*s = -2 - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fa + -14?\nAnswer: -20e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 9*x**2 + 21*x + 6. Let z be t(-5). Is 12\/7 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 - 4644045*q**3 + 13932162*q**2 = 0. What is q?\nAnswer: -1548018, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1160)\/2320)\/((-1)\/(-22)*-3).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1432144, -1432248, -1432352, -1432456, -1432560?\n\"Answer: -104*b - 1432040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1026 - -1616. Let n = -19475\/33 + z. Let d = 1\/66 - n. Is -1 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 2. Let y = 53 - -18. Suppose 0*v + 4*m + y = a*v, -m = -5*v + 74. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 2*t + 230, -4*t = 4. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -3. Let j = 5 - v. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -319670 by 26.\nAnswer: -12295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88643585.\nAnswer: 5, 83, 213599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (17381700\/(-9523))\/25 + 73?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g**4 - 2176*g**3 + 217*g**2 - 110939390 wrt g?\nAnswer: 16*g**3 - 6528*g**2 + 434*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907303367.\nAnswer: 3, 635767789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -810.9144 to one dp.\nAnswer: -810.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 8 + 17, -k - 2*i - 6*i + 12*i = -41 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b = -10*b + 23*b - 108 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17954 - -116?\nAnswer: 17a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14650595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 630154 to the nearest ten thousand.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130223 (base 8) to base 16.\nAnswer: 4b093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779623585.\nAnswer: 5, 43, 211, 39229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 649061.6?\nAnswer: -129812.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r + 0*r**2 - 165 - 2\/3*r**3. Determine b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 3. Let i be (8\/(-20))\/(1\/(-15)). Suppose -3*f = -f - i. Let v(p) = -2*p - 6. Calculate f*v(d) - 7*h(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (258\/1161*9\/(-5))\/(-38*(-5)\/(-25))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((16 - -18) + -30)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -112110102221 (base 3) in base 16?\nAnswer: -457d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111012 (base 3) to base 16.\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 692.8?\nAnswer: 693.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-3 - 1)\/(16\/24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {y: 1, m: 2, a: 1, h: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16071677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - 3*x**2 - x - 12 + 23*x**4 + 32 + x**2 - 11 - 10 as o*x**2 + p*x**4 + c*x**3 + q + s*x and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 91*c**3 - 30*c**2.\nAnswer: -c**2*(c + 30)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 139 = -26*q. Suppose 2*r + d = 8, q*r - 4*r + 5*d - 8 = 0. Solve -3*x + n + 11 = -r, 2*n + 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 1215.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40439176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*w + 576 - 576 - 101*w + 280*w - 92*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25487208 and 116622.\nAnswer: 280359288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**2 + 0 + 3 - 6*c + 10*c**2. Suppose 3*w + 3*z = 18, 2*w - 3*z - 30 = -w. List the prime factors of h(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5825\/3, 0.1167, -2\/7 in descending order.\nAnswer: 5825\/3, 0.1167, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 73146296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 2*w + 3. Let u = -6 - -3. Let z be u\/12 - (-62)\/(-8). Let v = z + 13. Let o(q) = 4*q**3 - q**2 + 5*q + 7. Calculate v*j(y) - 2*o(y).\nAnswer: 2*y**3 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3463*m - 3468*m = -4*c - 11, -m - 5*c = -8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/99)*f\/f**(2\/25)*f assuming f is positive.\nAnswer: f**(4802\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14123 is divided by 1410?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 119718, 119468, 119218, 118968, 118718?\n\"Answer: -250*l + 119968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4539 - 3227. What is the highest common divisor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > -0.001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -6 - (2 + 7) - (8 + -1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-18)*(-36)\/(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*u - 1995*g**3*u*z - 51*g**3*z**3 - 2*g**2*u*z**3 - 51*g**2*z**3 - 2*g**2 + 4*u*z**2 + 3*z**3 wrt g?\nAnswer: -24*g*u - 11970*u*z - 306*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -292479*i**3 - 23*i**2 + 87*i + 24. Let o be r(8). What is o rounded to the nearest one million?\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 10*m**2 + 7*m - 13. What are the prime factors of f(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.48154 millennia in centuries?\nAnswer: 504.8154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1471065 and 56055?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 364834 and 16.\nAnswer: 2918672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*a + 5*p, -2*a - 29 + 38 = -3*p. Let q be 1\/(-3)*(-4 + -2). Solve a = r - q - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -76.1264.\nAnswer: -38.0632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(1872) + -2) - 6*(2 + sqrt(1872) + sqrt(1872))) + 3)**2*4 + -2)*1.\nAnswer: 6720*sqrt(13) + 1467746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Suppose -5*i = -y - 2. Calculate the smallest common multiple of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0728208 grams to nanograms.\nAnswer: 72820800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iazaaazsasaaasstasva. What is prob of picking 3 a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - s + 9 = 0, 2*i - 4 = -s + 1. Suppose -t + 27 = i*t. Calculate the greatest common factor of 63 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*h**3*p**2 + 2*h**3 - 5*h**2*p**2 - 192*h*p wrt p?\nAnswer: -204*h**3 - 10*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15006 - 10611. Is 85 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h - 210. Let f be h\/12*8\/(-7). Solve -t + 1 = 3*s, -2*s - f*t - 5 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(3852 - 60*a + 40*a + 21*a + 2551) as u*a + m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -2 + sqrt(2) + -1).\nAnswer: -5*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:06 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 228, 1718, 5, -3, 1 in descending order.\nAnswer: 1718, 228, 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 1. Let c(r) = -r. Let h(n) = 4*c(n) + s(n). Let y(i) = -i - 7. Give -4*h(d) + y(d).\nAnswer: 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - 2*-1*sqrt(132))\/(sqrt(48)\/sqrt(64) + sqrt(12)).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*c = 1182, -y + 4*y + 4*c - 1177 = 0. Let p = -6 - -10. Suppose 0 = -p*g - 3 + y. What is the highest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**5\/10 + 15*u**4\/8 + 9*u**3\/2 + 21*u**2\/4 + 3*u - 357. Factor x(z).\nAnswer: 3*(z + 1)**3*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 336*x**2 + 367*x**6 + 15*x**6 + 121*x**2 wrt x.\nAnswer: 45840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13713375 is divided by 484?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/24*(-284)\/(-426).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77177073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -12825?\nAnswer: 12829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*v + 19. Let g = -26 + 22. Let q be (g\/(-6))\/((-20)\/30). Sort q, 5, v in increasing order.\nAnswer: q, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**2\/2 - 6*i - 7. Let h(g) = -g**2 + g - 1. Let c(j) = -f(j) + 4*h(j). Let d be c(-1). Put 5, -0.3, d in descending order.\nAnswer: 5, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c85c0 (base 13) to base 5.\nAnswer: -43030214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 4*a + 3. Let l be j(2). Is l - ((-4)\/(-2) - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.1 (b) 5 (c) 5\/2 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2736167 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 62*k**2 - 4*k - 446. Give r(-62).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*v - 36 = 0. Let o be v\/6*(-105)\/14. Suppose z - 18 = 6*c - c, 2*z = -o*c + 36. Solve z = -4*g + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + c - c + (-c - 2 + 2)*(4*c**2 - 4*c**2 - 2*c**2) + (3*c**2 - c**2 - 4*c**2)*(-3*c + 2*c + 4*c) as l*c + p*c**2 + w*c**3 + d and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3 + 3. Let m = d + -4. Suppose -2*g - 40 = -m*q - 14, -5*q - 4*g + 65 = 0. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2480000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -10 + (-14391)\/(-169) - (-4)\/(-26) and 400?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3563414, 3563409, 3563404, 3563399, 3563394, 3563389?\n\"Answer: -5*d + 3563419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 986, 1987, 3014, 4079, 5194?\n\"Answer: 2*r**3 + r**2 + 984*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - k + 2 + (-5*k + 4*k + 2*k)*(-6 + 0 + 1))*(-206*k + 164 - 164).\nAnswer: 1236*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*c - 22, 0 = 3*c + 5*a - 7*a - 14. Does 25 divide 392\/12 + c*8\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 9. Suppose -m = 4*u + 3 - 9, -5*u - 3 = 3*m. Let f be s(m). Which is greater: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511243753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034133 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(3\/7)*v*v**3 assuming v is positive.\nAnswer: v**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001372659712 rounded to seven decimal places?\nAnswer: -0.0013727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2201*h + 661777 - 661777)*(0*h**2 + 2*h**2 + 0*h**2).\nAnswer: -4402*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0, 4, -0.02186, 1\/7, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t + 14. What is r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3.8. Let d = i - -37.2. Let o = -39 + d. Sort o, -3\/7, -0.3 in descending order.\nAnswer: o, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 2*i**2)*(i + 2*i - 2*i) - i**2 + i**2 + i**3 + (-4*i**3 - 5*i**3 + i**3)*(-2 + 3 + 0) + 79*i - 79*i - 13*i**3.\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -1 (c) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 255 - 1277\/5. Sort -1, x, -2, 1\/7.\nAnswer: -2, -1, x, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -17*j + 93. Calculate the common denominator of r(6) and 4\/14 - 416\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Let f(k) = k**3 - k**2. Let d be f(n). Solve 3*v = -2*m + 14, v - 5 + d = -m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*h = 15, -4*h - 11 - 1 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29783 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.043 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -96403.92 + -25953700\nAnswer: -26050103.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 36\/24*(0 + 324). Let j = -977\/2 + z. Let w(h) = h**3 + 8*h**2 - 10*h - 6. Let i be w(-9). Which is the third smallest value? (a) 1 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -38*c - 21. Let j be x(-6). Calculate the highest common divisor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10655855 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -31, 42, 149, 284, 441, 614?\n\"Answer: -p**3 + 26*p**2 - 38*p - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 24 = 3*z. Let t = z - -17. Let f = 14 - t. Is -2 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -54*i**3 - 3*i**2 - 8. Let x(v) = -58*v**3 - 4*v**2 - v - 10. Calculate -5*s(f) + 4*x(f).\nAnswer: 38*f**3 - f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a. Let z(i) = -9*i**2 - 11*i**2 + 23*i**2. Determine z(g(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 81 + (-6 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3420 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606747 and 4961049.\nAnswer: 84337833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1.3 (c) -4 (d) -1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3 - 43. Let q(a) = -a**2 + a + 4*a - 13 + 10*a. Is q(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6) + 0)\/((-6)\/648*6)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(65)\/sqrt(45).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/10*(-285)\/840*12)\/((-3)\/(-16)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.7 - 13. Which is the nearest to -5? (a) d (b) 0.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 225*l**4 + 735*l**3 + 184*l**2 + 12*l = 0.\nAnswer: -3, -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.61 + -0.6. Let a = s + -2.01. Are a and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Let s(m) = -2*m**2 + 2*m + 4. Calculate s(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 at most 3538\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/4)\/((-26)\/2704). Suppose -3*g + 6*g + y = 0. Let n be (g\/(-27))\/(1*3\/(-9)). Is -26 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35290114 to the power of 1\/2, to the nearest integer?\nAnswer: 5941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/9*(-8)\/((-640)\/(-36))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1077644 and 3936.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose y = -p - p. Suppose -22*h + 99 = -11. Solve -g + h*g - 16 = p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s + 77 - 33 - 44.\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-21040)\/7890)\/((-2)\/(180\/(-3)))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/3*(-6)\/4. Let g(o) = -12*o**2 - 7*o - 9. Let q(c) = -4 + 9 + 2*c**2 + 4*c**2 + 4*c. Let n(y) = m*q(y) - 4*g(y). What is n(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4836899536941 from 3.\nAnswer: -4836899536938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/247 + (-249)\/(-13). Which is greater: o or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1563*d. Let r(l) = -2343*l. Determine 5*r(u) - 7*v(u).\nAnswer: -774*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or 0.025?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25\/2, 0.1, 1925?\nAnswer: 1925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 196*-5248\nAnswer: -1028608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482202\/693 - 2\/(-11)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 5478*j**3 + 3623548*j**2.\nAnswer: 2*j**2*(j + 1117)*(j + 1622)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**4\/3 + 40*p**3\/3 - 51*p**2. What is the tens digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*u + 210. Let x(p) = -10*p**2 - 74*p + 32. Let q be x(-5). Calculate the greatest common factor of u and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756661 is divided by 81.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 28. What are the prime factors of -1*(2 + a\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(1 - 2 + 2)*(-n**4 - 8*n**4 + 2*n**4) + 10185 - n**4 - n**4 - 2*n**3 - 10201.\nAnswer: -16*n**4 - 2*n**3 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8135 + -8133. Which is the closest to -0.12? (a) o (b) -5 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaaajnjjaajagjjajj. Give prob of picking 1 n and 1 a.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.65 in -13, -2, -2\/13, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-656)\/(-32) - -2)\/((-3)\/(-4)). Solve 12*i - 72 = w*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by ((-4)\/10)\/((-13)\/455)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.24 - 0.17. Let g be 4\/(-8) + 3\/9. Let w = -100 - -97. Which is the smallest value? (a) z (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 237760 and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 v when four letters picked without replacement from eeveeevevevve?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11172.5 take away 157.87?\nAnswer: 11014.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - 84 + 4*r + 42 + 45 - 17*r**2 - 2*r**4 - r**4 + r**4 - r**4 + r**4 - r**4 + (4 - 2*r - 4)*(0*r**2 + 0*r**2 + r**3) - 1 + r**4 + 1.\nAnswer: -5*r**4 - 17*r**2 + 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 79 and -3085?\nAnswer: -243715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + o**2 + 3*o**2 + (-3*o - 2*o + 4*o)*(2*o + 0 + 0) + (12*o - 33*o + 8*o)*(1 - o - 1) to t + s*o + r*o**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 2*j - 2*j)*(-4*j + 4*j + 4*j)*(-j**2 + 3*j**2 - 4*j**2).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from axufs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -3116019.\nAnswer: 52\/3116019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218 or 4158\/19?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 35 = 3*f, -2*d + 4*d + 5 = -3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1136 - 1140. Let u(q) = -2*q. Calculate u(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3757341cm?\nAnswer: 3757341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77883*m**3*u**3 + 286*m**3 - 12*u**3 - 3*u**2 + 4*u - 7862 wrt m?\nAnswer: -233649*m**2*u**3 + 858*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmzmmmzmmmmz. Give prob of picking 3 m and 1 z.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-11)\/(-66))\/((-13)\/(-117))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 6*s - 117. Let o(b) = -2*b**2 - 5*b - 116. Give 5*k(i) - 6*o(i).\nAnswer: 2*i**2 + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let o(r) = -1 + 1 + 29*r**2 - 4*r - r**2. Let d(w) = -20*j(w) - o(w). Find the second derivative of d(g) wrt g.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4447 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/4*9\/(-75)*-5*(-120)\/144?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20008931?\nAnswer: 53, 377527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40 - 21)\/(1\/1 + 0). Solve 22*n - a*n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 82, 95, 92, 67, 14, -73, -200?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -561\/266 - -15\/38. Let k = 44 + -37.8. Let t = k - 6.5. Sort t, c, -1\/7 in descending order.\nAnswer: -1\/7, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 77*v**2 - 53*v + 3979. What is t(77)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157*g**2 + 103*g**2 + 140 + 2*g**3 + 193 wrt g.\nAnswer: 6*g**2 - 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k + 1 + 3 - 15 - 7 - 8*k**2. Let j = 27 + -35. Let q be i(j). Round q to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from meeme. What is prob of picking 1 m and 3 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 10) + -53 + 46.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -1 - (9 + 59)) + (-6 - 5).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 18*t**2 + 17*t + 33. Let h be s(19). Put 3, 4, h, 0 in descending order.\nAnswer: 4, 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (4\/4 - (-740)\/110)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808834 is divided by 9105.\nAnswer: 7594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-21)\/(l*l*l*l*l**(1\/18)))\/(l**(-3\/19)*l*(l\/l**32)\/l) assuming l is positive.\nAnswer: l**(2087\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159403818.\nAnswer: 2, 3, 7, 41, 92569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -109. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/6)\/((v*v**(-3\/11))\/v) assuming v is positive.\nAnswer: v**(29\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -10*u - 35. Let p(r) = -96*r**3 - 2*r**2 - 8*r - 23. Is p(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*b + 15*b**3 - 1 + 1 - 8*b**3 + 40*b.\nAnswer: 7*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 64) + (-3 - (6 - -21)) + -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 567946903*y**3 - 368745*y + 38.\nAnswer: 3407681418*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**5 - 60009*m**3 - 245156*m wrt m?\nAnswer: -40*m**3 - 360054*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36442 by 38.\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -522*p + 506*p + 23600. Calculate the least common multiple of 4 and p.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -27*m**2 + 51. Let y(l) = -14*l**2 + 26. Let d(x) = -3*v(x) + 5*y(x). Find the first derivative of d(h) wrt h.\nAnswer: 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**3 - 3028*a**2 - 514048*a + 6611520 = 0.\nAnswer: -485, -284, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 3) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*3)\/(sqrt(5) + -1*sqrt(245)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6875 - 6866. Solve 3*w = 2*n + 12, -9*n = -4*n + 3*w + h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 0.52268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = 0, -3*m = -8*m - 4*f + 24. Find the second derivative of -13 + 8 + 5 - a**4 - m*a wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89 and 138.9.\nAnswer: 12362.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 22. Suppose -f = -i + 4*u + 1, 51 = 4*i - 5*u. Let m(q) = q + 8*q + 7*q - 19*q + 4*q. Let t(v) = -4*v. Give i*m(r) + 4*t(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7281 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 174086080 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 - t. Let i be g(1). Let b = -5 - i. Which is smaller: b or 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-16))\/9*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -2*q**5\/15 + q**4\/6 + 2*q**3\/3 - q**2\/3 - 4*q\/3 - 937. What is k in f(k) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/120*6\/(-11).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1713150 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**4\/3 + 190*d**3 - 31280*d**2\/3 - 172190*d - 577575 = 0.\nAnswer: -151, -9, -5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-32 - -118) + -31.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -15. Let s be (-2)\/((-2)\/3) + -2. What is the lowest common multiple of u and (20 - 15)*(1 + s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2779, 1411, 4 in ascending order.\nAnswer: 4, 1411, 2779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56.13433 and 2.2.\nAnswer: -123.495526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - 2*o)*(-3 + 0 + 2) + (-525*o + 133*o - 248*o)*(3 - 7 - 2 + (-2 + 4 - 4)*(-2 + 2 + 1)).\nAnswer: 5122*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1181054965 - -0.4.\nAnswer: -1181054964.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from {l: 1, c: 4, k: 2, n: 1, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkb when three letters picked without replacement from {k: 1, c: 8, t: 1, b: 8}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2407922*g = 2408021*g + 7524 for g.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 1. Let h(n) = n**3 - 5*n**2 - 3*n + 8. Let p be h(4). Let w = -15 - p. Calculate the remainder when z(9) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjq when three letters picked without replacement from {z: 3, b: 9, j: 1, q: 1}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00195719108 to five decimal places.\nAnswer: -0.00196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253780 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -101972.57 to the nearest one hundred.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 5 (b) 1\/3 (c) 2 (d) -1\/10 (e) -0.0323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 58 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 739*l - 49913. What is z(89)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udrduuurdrudrrruu. What is prob of picking 2 u?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 6*s - s + 6 + 9*s**2 - 2*s + 2. Let g be k(-10). Let j = -11 + 6. What is the second smallest value in g, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 14. Let z(t) = -t + 3. Let r be z(7). Let n be d(r). Let o = n - -10. Solve -2*x - 4*k = -0*k + 10, -o*x - 11 = -k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-21\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + h**3 - 2 + (-13*h + 29 - 29)*(11*h - 11*h + 2*h**2) + 0*h - h**3 + 0*h.\nAnswer: -26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19291037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**2 + 28*z - 15. Let k(o) = 7*o**2 + 27*o - 14. Let s(m) = 3*c(m) - 4*k(m). Let q(n) = -n**2 - 8*n + 4. Let y(w) = -7*q(w) + 2*s(w). What is y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 25202661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 + 11 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -672762480 divided by 48\nAnswer: -14015885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 376179781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 4*c - 46 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*m - 0*m + 24, -22 = -5*t + 3*m. Let g(s) = -4*s**2 - 5*s**t + s**3 + 9*s + 3 - s. Let i be g(8). Solve 7 + 2 = i*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/10 + (-35226)\/(-43260)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*sqrt(931))*3)**2.\nAnswer: -1260*sqrt(19) + 33741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 k when three letters picked without replacement from kkgkkkkkkkkggkgkgk?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i - 33*i**3 + 0*i**3 - 2 - 16*i**3 + 3*i + 2*i**4 in the form s*i**2 + m*i**4 + f*i**3 + b + g*i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (2 + -2 + sqrt(2057)*-3 + -2)**2.\nAnswer: 132*sqrt(17) + 18525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 11 + -9 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29580 is divided by 197.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1111010101110111110 (base 2) to base 5\nAnswer: -112041333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, -5, -1, 3.\nAnswer: -5, -2, -1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -16*p + 12*p. Let o = p + -64. Suppose -3*y + 5*z = -55, 4*y + 0*y - 2*z = 78. Calculate the smallest common multiple of o and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 2*z**5 + z**4)*(2 - 3 - 1) + (2 - 2 - 3*z**4)*(4*z + 2*z - 4*z + (-3*z - z + 3*z)*(0 + 0 - 1)).\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 2*x + 17, -4 = x. What is the remainder when 163 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p*q**3*x**3 + 30*p*q**3*x - 2*p*q - 9*q**3*x**3 + 3*q**3*x**2 wrt x.\nAnswer: 18*p*q**3 - 54*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 + (-59 - -128) + (3 - (0 - 2))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0109 plus 401904902?\nAnswer: 401904904.0109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.832 - -4. Let w = 1.088 - 2.066. Let f = m + w. Round f to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 12) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241, -703, -1207, -1759, -2365, -3031?\nAnswer: -3763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76687*a**3 + 153313*a**3 - 76628*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + i - 7 - 1 = 0, -3*i + 12 = -3*d. Let a be ((-84)\/15)\/(d\/70). Suppose 0*u + 2*u = a. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 17 + 31 - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 12}. Give prob of sequence nw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*6*3)\/(sqrt(24)\/(5*sqrt(2)*-1)).\nAnswer: 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -5, 15054, 3\/4, -2\/3, 1, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*q**2 + 70*q**2 + 85*q**2 - 569*q**2 + 132*q**2.\nAnswer: -85*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 971 - 968. Solve -t*h = 15, -o - 2 = -2*h - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 478, 555, 676, 835, 1026, 1243?\n\"Answer: -s**3 + 28*s**2 + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1255 and -61\/8.\nAnswer: 10040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:07 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2728 - -2602.3. Let h = u + 126. Sort 0.7, -4, 2, h.\nAnswer: -4, h, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-105)\/120*(-6)\/63*6. Which is the smallest value? (a) h (b) 0 (c) -0.03 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 873581 - 569598. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76 take away 140?\nAnswer: -139.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187*g**4 + 168*g**4 - 8107*g**3 + 400*g**2 + 8107*g**3 wrt g.\nAnswer: 8520*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0)*(-3 + 1). Let y = 4 + a. Solve 0 = -2*h - y, -3*d - h - 1 = 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33167699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114.3 - 11.7. Let q = y + 112.4. Let x = -13.8 - q. Which is the nearest to 2\/5? (a) 3\/8 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2373777 to the nearest integer?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (-270)\/75)\/(1\/(-40)*2). Which is the smallest value? (a) -4 (b) 0.3 (c) -58 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmmm when four letters picked without replacement from {m: 3, d: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 477*h + 34740. Give r(89).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24733, 24937, 25277, 25747, 26341?\n\"Answer: -m**3 + 74*m**2 - 11*m + 24671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 831765*o**2 + 425888*o?\nAnswer: 1663530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -12, 5 in descending order.\nAnswer: 5, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/8 (b) -2\/3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -66.16 and 0.0708.\nAnswer: -66.0892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - y + 4 - 1 + (2 - 25 + 0)*(-y - 5*y + 4*y).\nAnswer: 45*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/7? (a) -0.1 (b) -270 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030.8 centimeters in nanometers?\nAnswer: 20308000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 + 107*f**4 + 1084*f**3 + 2688*f**2 = 0. Calculate f.\nAnswer: -96, -7, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4\/2 + m**3\/3 + 2*m**2 + 20*m. Suppose 5*j - 4 = -14. What is the units digit of a(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991329.\nAnswer: 3, 491, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 19*a**2 - 21*a + 61. Give u(-18).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(255\/(-20))*((-18)\/(-4))\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040947 to 5 decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**4\/48 - 13*c**3\/24 - 7*c - 3. Find p such that k(p) = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 497032\/1268*(-3)\/(-63). Let a = 2\/2219 + t. Calculate the common denominator of (-2)\/(-4)*(1 - 0) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:50 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -2768?\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 3. Let c be m(6). Suppose -4*o - 1 = -c. Calculate the smallest common multiple of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 171\/664?\nAnswer: 171\/664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (126\/(-133) + 1)\/((-180)\/(-28)). Is -1 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*-3*(-2 + -5 + -3 + 0 + sqrt(1100))**2.\nAnswer: -1800*sqrt(11) + 10804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-10)\/110)*-1)\/(42\/(-6))?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-2\/33)\/c)\/c*c)\/c)**(-35))**20 assuming c is positive.\nAnswer: c**(47600\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 249 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -17228*w. Let i(n) = 1436*n. Give 73*i(m) + 6*z(m).\nAnswer: 1460*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 9 - 1. Suppose -4*t - g*p + 20 = p, 5 = t + 3*p. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2664 and 19\/888?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 65*f**2 + 3*f + 4. Let o be x(-2). Let j = 68 - o. Let u be 35724\/38 + 20\/j. Round u to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8294 - -6984.9. Let g = t - -1375. Let n = g - 66. Which is the closest to 0? (a) n (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -52. Suppose -m + 27 - 9 = 0. Calculate the remainder when q is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t - 7. Let c = 326 + -108. Let l(b) = -c*b - 209*b + 1 + 426*b. Calculate -6*l(i) - x(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -751, -752, -753?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcfz when four letters picked without replacement from fftczfcctfztccf?\nAnswer: 5\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -572266 (base 8) to base 10.\nAnswer: -193718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143.6 + 144. What is the second biggest value in j, 5\/4, -4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 2*y + 6. Let v be t(0). Suppose -35 = -l - 2*q - 13, -3 = l - 3*q. Calculate the highest common divisor of v and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643*c**2 + 960*c**2 + 976*c**2 - 635*c**2.\nAnswer: 1944*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/12*(-3)\/(-2). Let n(q) = 11*q + 2. Let y(r) be the second derivative of -5*r**3\/6 - r**2\/2 + 2*r. Let a(j) = 6*n(j) + 13*y(j). What is a(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*i + i - 1, 2*i - 19 = -3*o. Let k = o - 4. Let j(n) = 11*n - 1. What is the remainder when 19 is divided by j(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 591070003.2 to the nearest ten thousand.\nAnswer: 591070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*2\/((-16)\/(-10)). Suppose -r + 2148 = -4*r. Let n be 4\/(-5) - r\/20. Calculate the greatest common factor of i and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-6 - (24 - 12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 + 2*i**2 + 1972 - 1976.\nAnswer: -12*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1695 and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -574*f**5 + f**4 + 2110*f**2 - 67248*f - 9.\nAnswer: -11480*f**3 + 12*f**2 + 4220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 2658.\nAnswer: 63792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)*a)\/(a**7*a)*a*a**(-3\/8)*a*a*a*a*a\/(a\/(a*a\/(a*a**(1\/7)))))**(-11\/6) assuming a is positive.\nAnswer: a**(9647\/3024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 20. Suppose -5*a - 2 = -g. What is the closest to a in -4, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 35982 = -3*a, -4*c = 3*a - 35635 + 6847. Suppose 5*r + 1059 = c. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.801 rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(0\/(8 + 1))\/(-6). Let g(j) be the second derivative of 0 + 1\/4*j**4 + 17*j - 3\/40*j**5 + 0*j**2 + k*j**3. Factor g(y).\nAnswer: -3*y**2*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from liiiilliiiliiiiilii?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 1272547.\nAnswer: 32\/1272547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 4*c - 4*c + (c - c + c)*(-2*c + 0*c + 4*c) + 4*c**2 + 19 - 19)*(2 + 2 + 4)*(-7*c**3 + 3*c**3 - 2*c**3).\nAnswer: -240*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 14 + 17 + 2*u)*(-2*u**4 - 4*u**4 + 2*u**4).\nAnswer: -8*u**5 - 144*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900295 is divided by 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12704263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + z**2 + 5 - 267*z + 349*z)*(-z**2 + 3*z**2 + 0*z**2) to the form y*z**3 + o*z**2 + p*z + f + t*z**4 and give y.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17202 divided by 3?\nAnswer: 5734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4*4\/(-40))\/(169166\/30945)\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4*t = 0. Solve 0 = -t*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5342.\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 + 1.2721.\nAnswer: -107.7279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/9)\/1*3\/(-11)*-11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 15 = 5*z + 141, s + 3*z = 86. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**6\/120 + 41*y**5\/80 + 169*y**4\/6 + 326*y**3 - 1152*y**2 + 10*y - 65. Determine d, given that n(d) = 0.\nAnswer: -12, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 m when four letters picked without replacement from {o: 3, m: 11}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 5:18 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**3 - 21*g**2 + 11*g - 44. What is the remainder when l(7) is divided by 96?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 - w**3 - 7*w**3 + w**2 + 7*w**3. Suppose g - 3 = -2. Determine l(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -54) + 17 - (8 + 7).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/r)\/(r\/r**(-7))*(r\/r**7)\/(r*r*r**6) assuming r is positive.\nAnswer: r**(-137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*v**2 + 23 - 23 + 494*v**2.\nAnswer: 377*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 + 38. Which is bigger: y or -73?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*420\/294*112\/(-24)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/((-591)\/480 + (-43812)\/(-1152) + -38)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, -2, -0.2, 352, -1\/72 in decreasing order.\nAnswer: 352, -1\/72, -0.2, -2\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4\/2 - 102607707*x**3\/2 - 307823151*x**2\/2 - 307823161*x\/2 - 51303861.\nAnswer: (x + 1)**3*(5*x - 102607722)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**8\/7 - 7*k**4\/12 - 6*k. Find the third derivative of w(f) wrt f.\nAnswer: 960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13081012*n - 10257313?\nAnswer: 13081012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -21232?\nAnswer: -21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*x**2 - 20*x**2 + 6*x**2 - 4 - 30 wrt x.\nAnswer: -38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 6*s + 23. Let t = 47 + -43. Suppose -t*j + 60 = j. Is f(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 1\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*b = 76*b + 6734 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 1. Let p(w) = -w**3 + 3*w**2 + w - 1. Let x be p(4). Let a = x + 8. Is f(a) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -10772, 16 in descending order.\nAnswer: 16, -6, -10772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10754, -10832, -10982, -11210, -11522, -11924?\nAnswer: -12422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 189170142 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2559, 4025, 5491, 6957, 8423?\n\"Answer: 1466*l + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*u**5 + 13146*u**4 - 467198*u**3 + 1763286*u**2 - 1567280*u + 405600 = 0. What is u?\nAnswer: 4\/7, 3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -42, -78, 17 in ascending order.\nAnswer: -78, -42, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.1953 - 8.4953. Let s be (-237)\/27*6\/4. Let n = s - -27\/2. What is the closest to n in -1, r, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*a - 20. Suppose 5*y - 29 = -b, 0 = -a*b + 5*y - 0 - 5. Let 3\/4*u**2 + u - 1\/2*u**3 - 1\/4*u**b - 1 = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34f5f (base 16) to base 4.\nAnswer: -310331133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 803 and 6424.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89667.9 * -3.\nAnswer: 269003.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**3 - 47*w**3 + 20*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 - 1.1. Let w = -39.48 + 0.48. Let l = w + 39.4. Which is the nearest to m? (a) 1\/3 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 + 0)*(3 + 0 - 2) + (2 - 2 + 2*i)*(2 + 3 - 3) - 3*i - 2*i + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142890117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**2 + 3758*z\/3 - 836\/3.\nAnswer: 2*(z + 209)*(9*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 7*b**2 - 53*b - 452. Determine v(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 115\/((-200)\/(-160)*4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(5) - sqrt(40)\/sqrt(8)) + sqrt(5) - (5 + sqrt(5) + sqrt(10)\/sqrt(2))) + 1 + -1)*1.\nAnswer: -5 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 48460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 - 3 + 2*t**2 - 2*t**3 - 2*t**2 + 2*t**2 as b*t**2 + x*t**3 + y + r*t and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4149095466?\nAnswer: 2, 3, 67, 83, 124351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 213*o + 5536. Let z be u(-26). Which is the nearest to z? (a) 0.5 (b) 60 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 17*n - 29. Let b be t(-15). Let h be b - 446\/6 - (-28)\/84. Let r = -70 - h. Solve -r*m - m = 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1462 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7 + 2 = 0. Let w be x\/5*3 + 2. Let c be ((-16)\/40)\/(12\/(-25)). What is the third biggest value in c, w, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -383*m - 1138*m - 6*m + 172*m to the form p + l*m and give l.\nAnswer: -1355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/441)\/((-5)\/90).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2763\/(-11973))\/((-9)\/6*-1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37211 and 1244664?\nAnswer: 158072328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 9, 6 in descending order.\nAnswer: 11, 9, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 52 + -21 + 98\/(-3)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2832976, 5665954, 8498932?\n\"Answer: 2832978*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*i + 5 = 0, 4*i + 2 = -5*v + 16. Suppose -z - 4*l + 30198 = -4*z, -v*l = -6. Let y = -7062 - z. What is y rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70523.\nAnswer: 109, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 5*c**2 + 3*c - 7. Let n be z(2). Solve h = -5*t - 23, -h = 5*t - 2*h + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 5, -3\/7, 2\/3 in descending order.\nAnswer: 5, 3, 2\/3, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1621\/4827 + 4\/1609. Which is the closest to -5.3? (a) -5 (b) k (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3185 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257576 is divided by 1056?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909165421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-754)\/4*2*((-3564)\/(-156) + -23)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 = -5. Suppose r - 17 = 2. Suppose d - 6*d + r = j, -2*j = -k*d + 7. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75528843 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.067 and -1.0722?\nAnswer: 0.0718374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400513 (base 6) to base 5.\nAnswer: 2000133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -9095?\nAnswer: -4\/9095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 5131.\nAnswer: 1\/5131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334502?\nAnswer: 2, 3, 13, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22995619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64693066 - -4?\nAnswer: 64693070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 4*(1*sqrt(13) - sqrt(13)) - sqrt(13)) + (1 + 1*sqrt(13))**2.\nAnswer: 2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {d: 1, a: 2, i: 1, m: 2, l: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 270373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1524 and 600816?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070361 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(((-1890)\/(-56))\/(-15)))\/(-6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-75)*0*(-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -572 - -0.658.\nAnswer: -571.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -659 + 666. Suppose 0 = -4*k + 11 + 9. Sort -4, u, k in decreasing order.\nAnswer: u, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54280.3 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 118 (b) 0.27 (c) -726 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**8\/672 + a**7\/105 + a**6\/48 + a**5\/60 - 21*a**2. Factor s(c).\nAnswer: c**2*(c + 1)**2*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 322218167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(14\/((-1666)\/(-35)))*5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11704 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + c**2 + 1. Suppose -4*t - 20 = -9*t. Let a(x) = -2*x**3 + 4*x**2 - 2*x + 4. Calculate t*q(o) - a(o).\nAnswer: -2*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 less than -2?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -17, -58, -137, -266, -457?\n\"Answer: -2*x**3 - x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -255\/7 - -36. Let r(f) = -f**3 - 8*f**2 - 2*f - 11. Let t be r(-8). Which is the fourth smallest value? (a) t (b) i (c) -5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1761*n*r**3 + 45*n*r**2 - 4612*n*r + 2*n + r**3 - r - 2 wrt r?\nAnswer: -10566*n*r + 90*n + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3061, 6127, 9193, 12259?\n\"Answer: 3066*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -680 or 89.3?\nAnswer: -680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -22741?\nAnswer: 22728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -768 and 519.84?\nAnswer: -399237.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14098, 14097, 14096, 14095?\n\"Answer: -w + 14099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let v(p) = -3*p**2 + 13*p + 10. Let b(x) = 3*d(x) - v(x). Let n(g) be the first derivative of b(g). What are the prime factors of n(9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 107685249.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 9. Differentiate -d - 3 + b + 4 with respect to b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2. Let l = 18 - 5. Suppose -2*g = -n + l, 2*g - 16 = -2*n + 4*g. Let i(u) = 3*u + u - n*u. What is i(t(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 5. Let o(r) = -r. Let y(j) = b(j) + 3*o(j). Let n = 738 - 594. Suppose -24*w = -48*w + n. Calculate y(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**5 - 515*b**4 - 1015*b**3 - 505*b**2 = 0.\nAnswer: -101, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71\/3532 - -1568653\/900660. Let x = a + -27\/17. Which is smaller: x or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*r*t*u**2 - 11907*r*u**5 - 52*r*u**2 - 2*t*u**5 - u**2 wrt u?\nAnswer: -714420*r*u**2 - 120*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 1, u: 1, j: 6, s: 4, t: 2}. Give prob of sequence tus.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 38*j**3\/3 + j - 17. Give w(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k**3 + 3*k**2 - 6*k - 16. Let i(r) = -17*r**3 + 5*r**2 - 10*r - 31. Give -3*i(a) + 5*u(a).\nAnswer: 6*a**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/93630 and 163\/630?\nAnswer: 1966230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y**2 - 41*y - 18. Let k be s(-7). Is k at most as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21046 and 58186?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22394829707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 125380 (base 10) in base 14?\nAnswer: 3399a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j - 65*j = 4*l - 12, 2*j = -4*l - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 349, -6, -4 in ascending order.\nAnswer: -6, -4, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1769875803.962+-3\nAnswer: -1769875806.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (-1*(sqrt(153) + sqrt(153)*1 + sqrt(153)) - sqrt(153)))\/(1*sqrt(1089)).\nAnswer: -3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6923 at least -6923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2*((-42)\/6)\/35*-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4648, -2, 1, 0 in ascending order.\nAnswer: -2, 0, 1, 4648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 5*q**2 - 4*q - 5. Let l be j(-4). Is 3 - 3 - (l + -1352) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -6 (c) 1 (d) 2 (e) -1609 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-171) + 622\/(-1866)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + 1064?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**3\/2 + 4*h - 4. Let z be ((-4)\/(-6) + 0)*3. Determine r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - -2) + 18 + -27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*l - 2*u, l - 10 = -u - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/((-280)\/(-126)))\/(3*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -92.18 in -4, 114, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -1533, -3, 2 in descending order.\nAnswer: 93, 2, -3, -1533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2. Let c = 56 + -52. Suppose c*z = -3*j + 13, 0*j - 25 = -3*j + 2*z. Let t(v) = -j*v**2 + 2*v**2 + 4*v**2. Give t(k(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.42 + 87.08. Let u = l + -88. Let r = -97\/18 - -26\/9. Which is the nearest to 3? (a) 4 (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -288, -175, 46, 411?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 3 (b) -2\/5 (c) 4 (d) 0.4 (e) 0.184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 20*d**2 - 8*d - 48. Let r(x) = 2*x**2 - x + 2. Determine 8*r(u) - t(u).\nAnswer: -4*u**2 + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 277\/30 + 8\/48 and 17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -666 + 611.4. Let a = 57.6 + f. Sort -3.5, -3\/7, a, 0.5 in ascending order.\nAnswer: -3.5, -3\/7, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2967, 2860, 2741, 2604, 2443, 2252, 2025?\n\"Answer: -t**3 - 100*t + 3068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 5\/((-5)\/(-9)). Let y(n) = 3*n - b*n - 1 + 6*n + 2*n. What is y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 250.4 + -250. What is the closest to -1 in i, 3\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 12*i - 648 - 1296 = 0. Is i >= 3450\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by 157?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.558 rounded to 0 dps?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 10413?\nAnswer: -10414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + -3 + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2363 = -4*b, -9482 = -4*i - 6*b + 7*b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**5\/100 - 3*o**4\/10 - 18*o**3\/5 + 11*o**2\/2 + 15. Let p(b) be the second derivative of t(b). Solve p(h) = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2276, -8958, -15640, -22322, -29004, -35686?\nAnswer: -42368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**4 + 34*j**3 - 24*j**2 - 30*j + 26. Let s(p) = p**4 - p**3 - p + 1. Let i(w) = d(w) + 2*s(w). Factor i(r).\nAnswer: -4*(r - 7)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.092804303 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.2, 11\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - (0 + -5 - -16))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**3\/6 + 8*t. What is a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -67 and 2183?\nAnswer: -146261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250 - 2*o**3 - 18*o + 250.\nAnswer: -2*o**3 - 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a + 4. Let n(b) = 5*b + 2. Let q(m) = 4*g(m) - 9*n(m). Let c be q(-3). Let k = 123 - 120. Solve 4*s + k = -c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4 - 25211656*w**3 - 158906798718928*w**2 + 1271255599911168*w - 2542512006595584 = 0.\nAnswer: -12605832, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -7, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 10, -4*n - 31 + 125 = -2*w. What is the third derivative of -22*c**5 + 11 + 14*c**2 - 15*c**2 - 20*c**3 + n*c**5 wrt c?\nAnswer: -60*c**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 + 280*i**2 - 336*i + 721. What is the hundreds digit of r(138)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244 - -247. Suppose -2*p + 20 = -2*s + 2946, 4*s + m*p - 5866 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*t = -22, 5*a - 5*t = -9 - 21. Put 1, 3, 20, a in increasing order.\nAnswer: a, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/299199 and -107\/546.\nAnswer: 54454218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 423\/(-63))\/(-3 + (-747)\/(-252))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7))**(-1\/4)\/(b**(2\/5)*b*b)**(-26))\/(b**(-1\/5)*b*b**1*(b**(2\/5)*b*b)**(-1\/7)) assuming b is positive.\nAnswer: b**(4261\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051440 (base 6) in base 12?\nAnswer: -26b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5860*a**2 - 33*a + 78. Is y(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 79. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 - 55. Suppose x*z - 59 = q, -2*z = 5*q - 9 - 32. Let d be ((-4)\/(-14))\/((-108)\/z + 4). Do 10\/9 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -46. Let m be 1*(-1 - (0 + -3)). Let k be (12 - 4)*1\/m. Solve 2*j + w*n + 17 = 0, k*n + 32 = -2*j - 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -16 - 1\/(1\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1107*l**3 + 8672*l**2 + 30422184?\nAnswer: -3321*l**2 + 17344*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/6*(-18)\/(-4). Let u = s - 28. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284373?\nAnswer: 3, 19, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43402*3.57.\nAnswer: 154945.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j + 796 = 1048 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3*y + 17, -2*x - 3*x + 9*x - 5 = -x + 5*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 less than -212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = 7487*v - 7513*v. Let p be (-3)\/(-9) - (-4)\/6. What is the biggest value in 0.2, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -2 (b) -39 (c) -0.3 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514722000 divided by -791880?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4 + 8 + 59*y - 62*y + 0 + 0*y**3 + 18*y**3. Let q(b) = -b + 1. What is -o(x) + 4*q(x)?\nAnswer: -18*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 44550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -38 - (3 + 4\/1). Let x(z) = -z + 1. Let i(y) = 3*y**2 - 15*y + 15. Determine d*x(g) + 3*i(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - (156\/(-8) + -3) and -37\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -1, 4 in descending order.\nAnswer: 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*q, -q - 7 = -5*a + 12. Solve 2*u + 26 = 4*y, -10 = -5*y + u - a*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 - 3.383. Let i = -0.0059 + m. Round i to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13097.\nAnswer: 7, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 68. Suppose 2*i - a = -3*i. Solve 21 + 4 = i*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683954121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 3)*(-a + 3 - 3) + 0 + 0 - a - 10*a - 581 + 539 + 15*a in the form n*a + t and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 + 164. Let x = -62 + k. What is the highest common divisor of 75 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -38 - 21) + -26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 11 + 4 + -12 + 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**3 + 7*d**2 - 6*d + 1. Let l(n) = n**3 - n**2 + n. Determine -h(m) - 6*l(m).\nAnswer: -m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1005*-6.06.\nAnswer: -6090.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 4339*s - 4276*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqcq when four letters picked without replacement from {c: 7, q: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 6*t + 10. Let i be c(-7). Suppose -2*m - 2*l - 18 = -7*l, -i*l = 4*m + 10. Let d(p) = p**3 + 3*p**2 - 6*p - 6. What is d(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or -1048?\nAnswer: -1048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -29 + 0*s**2 - 15*s + 2\/3*s**3 - 35\/2*s**4. Find the third derivative of g(h) wrt h.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4362687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-15))\/(3850\/1100*18\/(-210)).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2191*g - 1019*g + 979 - 1173*g to the form c + w*g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - 2*v + 0*v)*(-436*v - 1716 + 1716) in the form w*v**2 + j*v + p and give w.\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496 and 28649766.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**12*d*d*d)\/d**(-1))\/(d**1)**(-37) assuming d is positive.\nAnswer: d**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3824908582 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 9:07 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -73\/10. Let l(n) = 2*n - 2. Let c be l(2). What is the common denominator of o and (-103)\/10 - (-3 + c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 13 - 23 - 285*n**2 - 15*n + 59 to the form i + l*n + v*n**2 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19059554 to the power of 1\/3, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -2, 5542.\nAnswer: -3, -2, 11, 5542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/63 - -1)*1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t - 2278 = -2140 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*5*sqrt(700)*-3 + -1)*-3)**2.\nAnswer: -900*sqrt(7) + 1417501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (69\/12 - 3) + 6\/(-8). Let t = 3.1 - 0.1. Which is the second biggest value? (a) g (b) t (c) -3\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 20 = 0, -17*t = -13*t - 16*r + 20 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.4 + 34.3176. Let x = -0.081731 - h. What is x rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24721, 98890, 222503, 395560?\nAnswer: 618061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*-4*sqrt(119) + sqrt(119))*-2)\/(-2*sqrt(252)*-3).\nAnswer: -5 + 11*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 2*u**2 - 3*u**2)*(6*u - 5*u - 7*u).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 4. Let f be c(-2). Factor y - y**3 - y**2 + 0*y + y**4 + f*y**2.\nAnswer: y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 57490288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = -3*d. Let u be (d\/15)\/((-2)\/6). Suppose 0 = -5*b - t - 1, -t - u + 0 = 2*b. Round b to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1261 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14570 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*r**2 - r - 27*r**2 - 428 + 44*r**2 to f + y*r + h*r**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -147744, -297042, -446340?\n\"Answer: -149298*n + 1554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -590 + 244. Let a = 350 + j. What is the third biggest value in -5\/6, a, 0.5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2 - 30*a + 27 = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-173918\nAnswer: -173918.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 - 2*i + 1. Let y be (2 - 1)\/(-3)*-3. What is t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/4188970 and 107\/837794?\nAnswer: 4188970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -11. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5701*s - 1826*s - 2199*s + 182*s - 913*s.\nAnswer: -10457*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28447141517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2388 and 1031019?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/14 - 8\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 93*s**2 + 163*s - 1442. Calculate b(-91).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 200564 - 10246?\nAnswer: 160315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0*o - 3 + o)*(-4 + 1 + 2)*(4*o + 2 - 2).\nAnswer: -4*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 17, -810, 3, 0, 1 in ascending order.\nAnswer: -810, -6, -4, 0, 1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-77)\/(-14) + -6)*-458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 75*1*20\/(-3). Suppose 86 = -5*i + 966. Find the common denominator of -45\/2 and (-1)\/4 + x\/i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5 - 1148362*q**2*t**2 - 679184*q*t**2 - 16*t**2 wrt q.\nAnswer: 40*q**3 - 2296724*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**3\/2 - 7*p**2 - 5*p. Let m be v(-16). What is the greatest common divisor of 357 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335 - -302. Let c(i) = i**2 + 35*i + 63. Let h be c(w). Let s = -0.22 - 0.08. What is the nearest to h in -2, s, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2890*k - 2673*k = -2604 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/4686303 and -74\/21.\nAnswer: 32804121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -237440000 rounded to the nearest one million?\nAnswer: -237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -454*b*r**2 - 1651*b*v**3 + r**2*v + r*v**3 wrt r?\nAnswer: -908*b*r + 2*r*v + v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, n: 2, w: 2, d: 3}. Give prob of picking 2 i and 2 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1365 = 6*h + 1149. Let t = h + 452. Calculate the remainder when 164 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.81 + -0.19. Which is the closest to 1\/3? (a) s (b) -2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*j + 5, 0 = -4*t - 4*j - 1 - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and -2676636140050?\nAnswer: 2676636140036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101231 (base 4) in base 9?\nAnswer: -20362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(15\/3) - (-6 + (-9 - -13)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 6*y + 4*u + 16, 4*y - 4*u = -40. Let n(f) = 3*f**2 + 9*f + 15. What are the prime factors of n(y)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.226 from -31.5.\nAnswer: -30.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 592576 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 4. Let n(x) = -4*x - 21. Let c(f) = 11*d(f) - 2*n(f). Give c(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*h + 4*h + 9*h + 713 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 2, s: 6, t: 2, i: 6}. What is prob of picking 2 s?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 489937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 19. Let m = r + 2. Suppose -2*y + 4*s = -70, 4*y - 5*s - 181 + 29 = 0. Calculate the remainder when y is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 111*k**3 + 11*k**2 + 11*k - 11. Suppose 51 - 19 + 12 = -11*l. Let o(v) = 22*v**3 + 2*v**2 + 2*v - 2. Calculate l*m(b) + 22*o(b).\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 25.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - 35718602341780.\nAnswer: -35718602341790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 178653672 to the power of 1\/2, to the nearest integer?\nAnswer: 13366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*x + 192*x - 1395 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422 and 37666243?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -994954*i**3 + 3*i**2 + 8702*i - 3.\nAnswer: -5969724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 473*h**2 + 3809*h + 89. Give l(-8).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**3 - 7*y**2 + 2. Let v(z) = -5*z**3 + 6*z**2 - 1. Let n be (-1 + 10)\/3 - 10. Let r(m) = n*v(m) - 6*a(m). Differentiate r(u) wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*i**2 - 577539*i - 755310.\nAnswer: 3*(i - 14810)*(13*i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 11 + 36, r + c = 5. Let u(z) = -z**3 - 2*z**2 + 40. What are the prime factors of u(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -43056307977 and 0.6.\nAnswer: -43056307976.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 328219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 136837\nAnswer: -5\/136837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h**2 - 1505*h - 12272. Give o(115).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60032 (base 11) to base 14.\nAnswer: 24053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) + (-63)\/(-2). Suppose 4*f - 32 = -3*h, -3*f - 3*h - 4 = -i. Suppose f*r = 8*r - 66. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425 = 37*w + 114 - 96 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*10\/(-18))\/(((-4)\/(-33))\/(248\/1364))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1203 + -151?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*-2*2\/(-12). Suppose 5*v = -s*v. Suppose -12 = -4*o - v*o. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 1, f: 1, j: 2, o: 4, l: 5}. Give prob of picking 1 s and 3 o.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*z - 8 = -8*c, 4*c + z = 9. Suppose l = 4*t - 4, -c*t = -2*l - 0*t + 4. Solve w = -l + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245122241 to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -154*r + 31*r + 63*r - 3 + 1743 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4*112\/70. Let z(o) = 3*o - 1. Let n be z(2). Suppose n*w - 44 = w. Solve -x*l = 1 + w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102.2882 - 1.2818. Let j = -194.06 - t. Let f = j + 86.9. What is f rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 13 = -3*i, 11905*c + 11904*c - 9*i - 47 = 23814*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2. Let q(z) = -4*z**2 + 13. Let u(o) = o**2 - 4. Suppose t + 28 - 11 = 3*r, 3*t = -5*r + 5. Let a(d) = r*q(d) + 14*u(d). Determine a(h(v)).\nAnswer: -32*v**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5527 divided by -5\nAnswer: -5527\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93133724*c**2 + 1941*c + 29854?\nAnswer: -186267448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77a6 + -2312?\nAnswer: -a008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, l: 3, p: 3, g: 1}. What is prob of sequence gpp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9244 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4584, -35739, -120032, -284031, -554304, -957419, -1519944?\nAnswer: -2268447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:22 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -4*l**4\/9 - 2*l**3\/3 + 5*l**2\/3 + 4*l\/9 - 21. Factor y(q).\nAnswer: -2*(q - 1)*(q + 2)*(8*q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1331*y**5 - 1694*y**4 + 396*y**3 - 34*y**2 + y.\nAnswer: y*(y - 1)*(11*y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 38995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 66 = -21*t. Let q(k) = -7*k**2 + 4*k - 8. Let l(r) = 2*r**2 - r + 2. Calculate t*l(n) + 6*q(n).\nAnswer: 2*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -491 divided by 3\nAnswer: -491\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27520 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 + 7570717*x\/2 + 22712149\/3.\nAnswer: (x + 2)*(x + 22712149)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26884275 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-14)\/(-3))\/(-7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180653227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62828 divided by -139?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23\/102 - 1\/17. Let y(r) be the second derivative of -2*r + 0 - 1\/48*r**4 + l*r**3 - 1\/2*r**2. Factor y(m).\nAnswer: -(m - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164170290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 3*r**2 + 3*r)*(-2 + 0 + 1).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 - 68877?\nAnswer: -68852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 223 and 1.96828.\nAnswer: 438.92644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/4 + (-282)\/(-98). Let r = g - -20\/49. Let s = 97\/75 - -1\/25. Sort s, 5, r in decreasing order.\nAnswer: 5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4724*s - 3431*s - 1996*s.\nAnswer: -703*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9241 is divided by 4609.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.755973 rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*k + 3 + 2, 2*g + 4*k = 0. Suppose 2*l = g*d - 138, l - 4 = 2*l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.019 + -0.271. Let j = q + 0.09. Is 1 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256173130.\nAnswer: 2, 5, 1291, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2*6\/8)\/((-12)\/4864).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367814.\nAnswer: 2, 3, 7, 29, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-12) - (-2747)\/123. Which is bigger: 144\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 70 = 3*t, -580*t + 575*t = 4*h - 106 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 14640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 776?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 46. Suppose 0 = 2*h - q*h + 16420. Suppose -3*d - h = -284. What is d rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 8*o**2 - 4*o - 13. Let s be n(9). Let w be (-1 + (-12)\/(-8))\/(2\/s). Solve 3*p = -3*h + 7 + w, -5 = p - 4*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/802270 and -121\/43960?\nAnswer: 3209080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.4, -4290, -0.06, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9938, 0, 23 in decreasing order.\nAnswer: 23, 5, 0, -9938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -574 and -176626.\nAnswer: 101383324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydp when three letters picked without replacement from {y: 2, s: 4, b: 3, p: 3, d: 6}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0. Put q, 2, -8 in decreasing order.\nAnswer: 2, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = 3*t + 112. Suppose 290*l + 3087 = 269*l. Let q = t - l. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 3*g**2 + 3*g**2)*(114 + 1950*g + 117 - 344 + 113).\nAnswer: -5850*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(1100) - sqrt(1100)) + 5)**2 - (1*((sqrt(1100) - sqrt(1100)*-1)**2 + sqrt(1100)) + sqrt(1100) + 2 + 3).\nAnswer: 580*sqrt(11) + 35220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -226 - -4a70?\nAnswer: 4846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 7 + 1 = -4*c, 15 = 5*a + c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-4 + 1 + 2). What is the tens digit of 87\/(9\/3) - v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 36*h**2 + 2*h + 1. Is z(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, k: 5, d: 2, u: 6, i: 1}. What is prob of sequence dkk?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 - 1505*m**2 + 1588*m**2 - 2*m**3 + (10*m**2 - 2 + 2)*(0*m + 2*m - m).\nAnswer: 5*m**3 + 83*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 30 = i - 0*i, -s = -2*i + 57. Find the common denominator of ((-88)\/28)\/(i\/(-42)) and 342\/(-165) + (-6)\/(-45).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f + 130. Determine u(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 937050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 0*z)*(48 + 37 - 75).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 - z**2 - 2*z - 4. Let n be d(3). Suppose -9 = -2*j + n. Let c be 720\/(-4444) - (-4)\/j. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -444, -832, -1220?\nAnswer: -1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*p**5\/17 + 2*p**4\/17 - 66*p**3\/17 - 50*p**2\/17 - 4*p\/17 = 0. What is p?\nAnswer: -1, -1\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 8823920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1220141 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*1*-2 - -1. Suppose 0 = -5*x - h + 56. Let z be 12\/(-10)*20\/(-6). Solve 0*a + x = 2*a + n, z*a - 17 = n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**4\/4 - 3*b**3 + 6*b**2 - 7*b - 3. List the prime factors of w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207021 is divided by 39666.\nAnswer: 8691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eje when three letters picked without replacement from {e: 2, j: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016649 to the power of 1\/2, to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*l + 90. Suppose q = 2*q - l. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/42 + 4*r**3\/21 - 3*r**2\/7 + 18*r. Factor v(d).\nAnswer: -2*(d - 3)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 3 - 3 + (4 + 23*v - 6 + 3)*(-2 + 2 + 2*v**2).\nAnswer: 48*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -3*h**2 - 2*h - 2. Suppose 6*y - 14 = 4*y. Suppose -n = -2*n + y. Let b(x) = -11*x - 3. Determine n*i(l) - 4*b(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 0, -3*c - 106 - 453 = -4*l. Calculate the highest common divisor of l and 7004.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-588)\/(-8) - 3)*4. Find the common denominator of -103\/56 and (62\/(-155) - q\/(-70)) + -2.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-447)\/(-12)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k + 43 = 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 1. Let y(q) = -q + 1. Calculate n(u) - 2*y(u).\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -10. Suppose 5*t = -5*u, 2*u + 6 = -5*t + 3*u. Let h be 4*-1*t\/1. Solve -4*x + 6 = -3*a, 2*x + i = a - h*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -94?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s + 3*s - 9*s + 4*s. Let n(a) = -7*a. Determine j(n(t)).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193\/5 - -39. Which is the second smallest value? (a) f (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68 - 1e64c?\nAnswer: -1e6b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11410 is divided by 3730?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -5*x**3\/6 + 8*x. Let j(a) = 4*a**2. What is j(b(c))?\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 5. Let n be b(0). Let o(h) be the third derivative of h**5\/60 - h**4\/8 - 7*h**3\/6 + 12*h**2. Is o(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-22))**(-35\/2)\/(z**(-1\/81)\/z*z**(-12)) assuming z is positive.\nAnswer: z**(32239\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*z + 53*z = i + 7, -3*z + 2*i + 16 = 0. Let r be (-709)\/(-4) - (-1)\/(-4). Factor 19 - 56*m + 7*m**2 - 3*m**z + r.\nAnswer: 4*(m - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2 + 3*2 + (-247 - -390) + -238.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6274 = -6*q + 2468. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(125) + 2 - sqrt(5)) + 2 + -5)**2 + 2*sqrt(180)*-1 + (sqrt(180) - (sqrt(180)*-1 + 1)).\nAnswer: 16*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(3*sqrt(6)\/sqrt(3))*4.\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -129, -210, -309, -426?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -667 - -745. What is the remainder when 618 is divided by b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(((6*sqrt(128) - sqrt(128)) + sqrt(128) - sqrt(128)) + sqrt(128)).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b - 41. Let h be (-8)\/((-360)\/(-90) + (-32)\/6). Determine z(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 19778 = -94018. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/15 + (-7)\/(-3). Solve 2*s - s**f + 8 - 2*s - 4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o**3 + 3*o**3 - 17*o**3 - 29*o**3)*(2*o + 0*o - 3*o).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5974135.\nAnswer: 5, 23, 51949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 20 = -4*g, 61*m = 58*m + 56*g + 280 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2021, 4041, 6057, 8069, 10077, 12081?\nAnswer: 14081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -140*z - 2648. Let g be x(-19). Solve 52*u - 40*u = g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 53. Let l = i - 30. What is the second biggest value in 1, -2\/9, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 11) + 4 + -1 + 24\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 5. Suppose -5*o - 6 = -i - 26, 3*i + 36 = 3*o. Let q be s(i). Let v(y) = 2*y - 2. List the prime factors of v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -365644360 - 22*v - v + 365644360.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 919917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.002 * 2765\nAnswer: 5.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**3 - a**2 + a**2)*(2 + 4 - 5) - 3589*a**3 + 1753*a**3 + 208*a**3 - 3580*a**3 as p*a + g*a**2 + j + l*a**3 and give l.\nAnswer: -5206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 21*a**2 + a - 13. Let k be u(21). Suppose 11*t = k*t + 9. Solve -3*f = -2*f + t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -8\/3 (b) -9 (c) -1\/6 (d) 0.7 (e) -31.4 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) - (-2)\/((-40)\/(-164)). Suppose 4*x + x - 30 = 0. Suppose -x*m - 298000 = -g*m. Round m to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 + 7 = 0. Let b = w + -11. List the prime factors of ((-96)\/9)\/(b\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 140 + 596. Suppose -1257 = -95*g + d*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.315 - -174.315. Let n = 2069.88 + -1895.8954. Let c = l - n. Round c to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 - -56. Let y be (-5)\/(-25) + h\/(-10). Let b(v) = -8*v**2 - 13*v - 14. Let n(t) = -19*t**2 - 28*t - 32. Let g(w) = 7*b(w) - 3*n(w). Give g(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1572 and 36420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 84*a - 90*a. Calculate the greatest common factor of 28 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.08 and 714.\nAnswer: 714.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14556822 and -6386792.\nAnswer: 8170030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3586\/8)\/((-18)\/8). Let x = y - -199. Let j(m) = 3*m**2 + 16*m + 1. Let g be j(-5). Put -4\/5, x, g in descending order.\nAnswer: x, -4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7*z = -6. Suppose -5*r - z = p - r, -5*p + r + 11 = 0. Solve 0 = -p*w - 11 + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-860)\/168 - -5) + 2\/(-12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:29 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.87 + -99.27. Let d = i + 115. Let k = 17 - d. Which is the biggest value? (a) -5 (b) -8 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -1.08.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 40. Suppose 11*r - 389600000 = -i*r. What is r rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 32*p**2. Let b(z) = 192880*z + 3. Determine b(c(r)).\nAnswer: 6172160*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*x - 648 = 346*x. Suppose 7*z - 207 = x. Calculate the smallest common multiple of z and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 5, 84, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81035, 84267, 89659, 97217, 106947, 118855, 132947?\n\"Answer: l**3 + 1074*l**2 + 3*l + 79957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -246 - -360. What is the remainder when 1934 is divided by n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = -74. Let t(n) = 4*n**2 - 8*n + 2952 - 3*n**2 - 2970. What is the remainder when i is divided by t(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -m + f - 3*f, 0 = -3*m - 4*f + 93. Solve -3*d - 7 = -5*j - 2, 0 = -3*j - 3*d + m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 7*a**5\/20 + 11*a**4\/4 - 59*a**3\/4 - 27*a**2\/4 - 3631. Find t, given that r(t) = 0.\nAnswer: -9, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -21. Suppose -5*g - 262 = -s - 0*s, g = 2*s - x. Let k = -48 - g. Solve 2*f = -6, -6*u = -3*u + k*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 8975 = -5*h - 12*y, -2*h = 2*y - 3582. Suppose h = 17*q - 3304. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/109 + -33467\/545. Let u = f - -62. Factor 2\/5 - 4\/5*g + u*g**2.\nAnswer: 2*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.83127 - 1.03127. Let q = -3 + 3.3. Let j = 0.3 - q. Which is the fourth biggest value? (a) j (b) z (c) 3\/4 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 5. Let b(h) = -247*h**2. Give t(b(j)).\nAnswer: 247*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5 - 8. Factor 2\/7 - 2\/7*n - 6\/7*n**q - 10\/7*n**2.\nAnswer: -2*(n + 1)**2*(3*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.20773 and -4.\nAnswer: 2.20773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.62879nm in meters?\nAnswer: 0.00000001862879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13085 (base 9) in base 13?\nAnswer: 402b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -57993185.\nAnswer: 28996592.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-66)*((-128)\/112)\/((-119)\/(-98))\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = -0. Let h be (-1)\/u - (-39)\/12. Suppose k + 9 = -5*q + 58, -3*k - h*q = -111. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 17*f = 0. Let x be (3 - 4)*(-10)\/2. Sort 3, -3, x, f in decreasing order.\nAnswer: x, 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/8*6*(1 - -5). What is the greatest common divisor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -3. Suppose 3*h + 1 - 15 = -5*a, -3*a - c*h + 4 = 0. Suppose 8*j + 840 = 896. What is the lowest common multiple of j and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 124*y**3 + 19 + 7 + 18 - 56.\nAnswer: -124*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 5*w = 235, -5774254 + 5774292 = p + w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.478243 centimeters in nanometers?\nAnswer: 14782430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 60. Let u be (-4)\/(s - -2)*-9. Let l(b) = 3*b**3 - 28*b**2 + 11*b + 7. Is l(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = 3*w, 2*w = -2*s + 3*w - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35196912 to the nearest integer?\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -489, 1, -0.2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619, 618, 621, 634, 663, 714, 793?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*m - 3*i, 3*m + 10 - 2 = -4*i. Solve -m*d = -7*d + 5*o - 2, -2*o = -d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 231*x**2. Let g be w(1). What is the highest common divisor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -27*g - 3. Let d be l(-2). Let h = d + -97. Let x = -31 - h. Solve u + x = 5*n - 8, 2*u - 6 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = -4*v. Suppose m + 4*t = 198, 4*m - 792 = v*t - 0*t. Suppose -5*y = 43 - m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, b: 2, r: 2}. Give prob of picking 2 r, 1 x, and 1 b.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -35. Let s(u) be the second derivative of u**2 + 3*u + 0 + 0*u**3 + 0*u**r + 1\/10*u**5. What is the derivative of s(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-105)\/(-22 + 27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - 0)*16\/((-1152)\/(-12)). What is the second biggest value in 2, 0, 1\/5, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2600\/153 - -154\/9. Factor 0 - g*n**3 - 4\/17*n**2 - 2\/17*n.\nAnswer: -2*n*(n + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*t + 1174 + 860 = 624. Solve 0 = -t*v + 73 - 3 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -176, -346, -566, -836, -1156?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/41, 3.72, 4?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528332 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.32791752 and -30639.\nAnswer: -30639.32791752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 1. Let g be p(4). Let c(o) = -o**3 + 6*o**2 + 8*o - 3. Let k be c(g). Let y = 0 - -7. Solve -k*z = 3 - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t + 3 - 48. Suppose -2*o + 30 = c - t*c, o + 2*c = -1. Suppose -9*h + o*h = -38. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (260\/(-182))\/((-2)\/21). Solve 0 = -16*d + 21*d + y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152816 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 29 + 127 + -124\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0.5, 3305, 0, 4, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6210 and 13062183.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 189467 from 129112.7.\nAnswer: -60354.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -2\/17 (c) 8\/43 (d) -5 (e) 1\/10 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaq when three letters picked without replacement from {a: 4, q: 2, u: 2, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3176043 and 4615.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 20 - 10. Let r be (u + 2)\/(6\/21). Suppose 5*n + 3 = r. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/54 - 197*o**3\/27 + 22*o**2 - 994*o. Factor u(h).\nAnswer: -2*(h - 1)*(h + 198)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2*(-2)\/(-4)). Calculate the common denominator of h*1 - (-214)\/(-20) and -11\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*s + 145*s - 6528 = 210*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -6\/43, 0.042 in descending order.\nAnswer: 0.042, -6\/43, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1692 or -0.088?\nAnswer: -1692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -2*z - 5, -3*z + 0*t + 3*t - 9 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-one halves of a week?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2 + 22. Let a = 8 + z. Suppose 0 = a*t - 9 - 6. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 776746.3.\nAnswer: 776745.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.854 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2. Let c be (-50)\/(-12) + (-8)\/48. Suppose 0*s + s - 16 = c*a, 0 = 5*s - 2*a - 26. Let p(u) = 7*u - u - 2*u + s*u. Determine p(r(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 138, 272, 442, 642?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003805406 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.2 (b) 7 (c) 5\/6 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 - 126.9. Which is the nearest to -0.4? (a) y (b) -4 (c) -2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15986.37833 rounded to the nearest ten?\nAnswer: 15990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(720) + 5*3*sqrt(720) + -4 + (-3 + sqrt(720) + 0 + sqrt(720) - (-3 + sqrt(720) + -3)))**2.\nAnswer: -1632*sqrt(5) + 208096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/170 - 40\/340.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/45 + -193\/180. Let z = -8567 - -8566.6. What is the closest to -3 in z, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - t = -5*t - 2104, -t = -2*r + 1055. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 4306388?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3*t - 6509*m**3 + 3636*m**2*t - 1 wrt t.\nAnswer: -2*m**3 + 3636*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 2)*(0*n**2 + 2*n**2 - n**2) - 1 + n**2 + 1.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 1:37 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 362, -5 in ascending order.\nAnswer: -5, -1, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 3*s**2 + 6*s + 4. Let o(i) = 2*i. Let y be o(-3). Let f = y - -2. What is n(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 - 902 = -158*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(175) - ((sqrt(175) - (4 + (sqrt(175) + 2*sqrt(175) - sqrt(175))))**2 - sqrt(175)))*6 - ((sqrt(252)*-1*2 + sqrt(252))**2 + 3 + 0 + sqrt(252)).\nAnswer: -4839 - 726*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/7 + 26*w\/7 = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6739 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175)\/300*(-2)\/(-7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51500932 to the power of 1\/2, to the nearest integer?\nAnswer: 7176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 130, 151, 154, 133, 82?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 4. Let a(y) = 2*y + 7. Suppose 4 = 2*x, 3*s = -3*x - 7 - 8. Let q(t) = s*o(t) - 3*a(t). Give q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1865)\/150 - (-63 + 51)) + (-5)\/(-6). What is the nearest to -2 in y, -4, 2.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 274484*l**3 - 6314179848*l**2 + 49500040163312*l - 18584164993131040.\nAnswer: -4*(l - 22742)**3*(l - 395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 559.\nAnswer: -2795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 12*a + 4*a**2 + a - 10*a**2.\nAnswer: -7*a**2 + 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -23, 0, -141 in decreasing order.\nAnswer: 0, -2, -7, -23, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*f**4*n - 12*f**3 + 3*f**2*n - n - 26 wrt f?\nAnswer: 16*f**3*n - 36*f**2 + 6*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/50*(-101157)\/28. Let i = q + 289. Suppose -3 = k - 4. Is k >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -510a8358?\nAnswer: 510a8357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - 3*d**3 + 11 + 2 + d. Let g be z(0). Let n = 21 - g. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6316560349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 130. Calculate the highest common factor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/8 + 1\/(-2). Let t(p) = -p**2 - d + p**2 - 3*p**2 + p**3 - 2*p. Let c be t(4). What is c rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228998, 231211, 234900, 240065, 246706, 254823?\nAnswer: 264416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2\/3 - 2407585*p\/3 + 84271600\/3 = 0. What is p?\nAnswer: -481552, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*g - 22. Let v be 72\/g + 3\/21. Which is greater: v or -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2\/17, 1\/15, -2.02 in increasing order.\nAnswer: -27, -2.02, 1\/15, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)*d*d*d**(5\/6)*d)**(4\/7)*d\/d**(3\/4)*d*d\/((d\/(d**4*d))\/d)*(d\/(d\/d**(-1)))**(-1\/35) assuming d is positive.\nAnswer: d**(1299\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -2 - (0 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 22*u + 2. Let b be ((-2)\/8)\/((-1)\/4). Let x be j(b). Suppose -4*c = -x - 12. What is the greatest common divisor of c and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, 3, 4, 0 in descending order.\nAnswer: 4, 3, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Suppose 56*v - 52*v = 5*d - 260, -3*d + 164 = -4*v. Suppose 0 = a*l - 8 - d. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 18*t - 18. Let x(n) = n + 4. Let b be x(1). Let u(g) = -g**2 + 5*g + 5. What is b*z(d) + 18*u(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7691 is divided by 516.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:53 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1075 and 45?\nAnswer: 9675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*u + 15 - 120 = 0, -4*f = -4*u + 60. Let g(z) = z**3 + 19*z**2 - 19*z + 30. What is the units digit of g(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0319 + 0.1319. What is the fourth smallest value in -25, u, 1, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*1\/2*-1. Let t = -107 + 187. Suppose r*p - t = -2*p. What is the least common multiple of 16 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(204) + sqrt(204) + sqrt(204)*-1 - sqrt(204)))\/(4*sqrt(12)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023333073 to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/12 - 51*v. Let j(l) be the second derivative of -11*l**3\/3 + 3*l. Give j(b(z)).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 764143631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 6 = -2*s - 29, 0 = o + 2*s + 5. What is the common denominator of 4\/5 and 3 - o - (-160)\/(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 3*a - 2, -55*w + a = -59*w + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-84)\/10)\/(15\/(-200))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 769\/1002 - 43307\/67635. What is the common denominator of -8\/21 and c?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 27*a**2 + 15*a + 34. Calculate s(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87911154 to the nearest integer?\nAnswer: 9376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99715 is divided by 6067?\nAnswer: 2643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 + 2*l - 2*l)*(4 - 7 - 8) - 634*l + 634*l + 30*l**4.\nAnswer: 41*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 3*z**2 - z - 2. Let m be n(-2). Suppose -2*q = 5*r, -m*q + 0*q = 4*r. Suppose r = 4*o - 26 - 34. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1366 = 238*z - 4698 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29431799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20212201112121220?\nAnswer: -20212201112121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q + 2*q + (-6 + 2 + 2)*(0*q + 3*q - 4*q) - 9 - 11*q + 9)*(189 - 8 - 94 + 186).\nAnswer: -1911*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 divided by 6.\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 13. Suppose -3*i + 2*w = w + 36, 3*w - 56 = d*i. Let f = i - -45. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -481*o*v*w**3 + 7*o*v*w - 2*o*w**3 - 4*o*w**2 + 7*v*w**3 + 8*v + w**2 - 7*w wrt w?\nAnswer: -2886*o*v - 12*o + 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(18\/11))))\/j**(-3\/8)*(((j\/(((j*(j\/(j*j\/(j\/(j*j**(-1\/24)*j))*j))\/j)\/j)\/j))\/j)\/j)\/(((j**(-22)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(1055\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -503 and -132?\nAnswer: 66396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50 from -628.\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2185, 2, -1, -4, 4 in decreasing order.\nAnswer: 4, 2, -1, -4, -2185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 20. Suppose 0 = 3*y + 3*x - 48, -y = 4*y - m*x - 72. What is the remainder when 73 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190 - -172. Let c be (-1 - (-6)\/(-18))\/((-44)\/d). Sort -1\/4, c, -5.\nAnswer: -5, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3184 divided by 1592.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 29 = -5*b, -4*l + 240*b - 245*b = 43 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Let l = 0 + v. Suppose -a + 1 = n - 1, 14 = n - l*a. 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: Simplify (g**(-1)*g\/(g\/(g\/(g*g**(2\/13)*g))*g))**(24\/11) assuming g is positive.\nAnswer: g**(-984\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1298, -5192, -11680, -20762?\nAnswer: -32438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11071 <= 22139\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 27*y**3 + y**2 - 2*y - 1. Let k be (10\/(-8))\/((-33)\/(-12) + -3). Is q(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/((-5)\/(50\/(-20))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53066*144.5.\nAnswer: 7668037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3, -5, -0.001?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3879?\nAnswer: 2\/1293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 3*h**2 + 2*h + 10. What is the lowest common multiple of b(-2) and 584?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 0*k**2 - 3 + 5\/2*k**4 + 1\/3*k**3 + 0*k. What are the prime factors of g(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 121*v**2 - 236*v - 1359. Calculate m(123).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1530214 litres in millilitres?\nAnswer: 153.0214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1624838 and 508.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -701 * 1143.\nAnswer: -801243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-4))\/h**(-13)*(((h**(-8)*h)\/h)\/h)\/(h**11\/h) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.88. Let o = k - -0.08. What is the closest to 0 in o, 5, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*p + 9 - 5)*(4 - 3 + 3 + (3 - 5 + 1)*(3 + 0 - 2)) to the form f*p + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 11*c - 84 = 0. Let m be (c\/(-5) + 3)*1. Factor m*u**3 + 0*u + 0 - 1\/5*u**2.\nAnswer: u**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/126, -0.2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1028118, -2056235, -3084352?\nAnswer: -4112469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**6))\/(p\/(p\/(p**(-7)\/p))))\/(p**(1\/2)\/(((p\/(p*p\/p**(-4\/5)))\/p)\/p)) assuming p is positive.\nAnswer: p**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 305*i**8\/336 - i**7\/105 + i**5\/30 - 29*i**4\/24 + 706*i**2. What is the third derivative of z(c) wrt c?\nAnswer: 18300*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -808711386 and -362.77.\nAnswer: -808711748.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073639 greater than or equal to 5073639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277128582 to the nearest integer?\nAnswer: 16647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 83, 339, 833, 1643, 2847?\nAnswer: 4523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102288 is divided by 14606?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3828073.0699894 - -3828072. Let t = -1.07 - q. Round t to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13142, 13589, 14036, 14483, 14930?\n\"Answer: 447*o + 12695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-573)\/87096)\/(2\/(-32))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942347696?\nAnswer: 2, 58896731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d - 726 - 496 = 120 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from wwpffwpiwiwfwwfoio?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 3\/2, 755?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.57211787 times 4\nAnswer: -2.28847148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g + 9. Let y(f) = -4*f - 8. Let b(w) = -2*d(w) - 3*y(w). Let h(u) = 5*u + 5. Let r(v) = -6*b(v) + 7*h(v). Calculate r(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 3 (c) -3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352649923 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 88*d + 742. Let x be w(0). Is x less than 741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5 - 153*t**4 + 663*t**3 + 153*t**2 - 660*t = 0.\nAnswer: -55, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let y = x - -5. Does 21 divide y*6\/1*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.14 - -11.14. Let c = 4.1 + -3. What is the biggest value in c, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + l - 2. Let p be k(-2). Suppose 4*i - 79 = 5*q - 23, p*i - 52 = 4*q. Calculate the remainder when 247\/7 - (-10)\/(-35) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**(-1\/4)*t*t))**9\/((t\/t**(2\/7))\/t)**(-1\/5)*(t**(-1))**(-12)\/(t**(-5)\/t**3) assuming t is positive.\nAnswer: t**(-1303\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let c(r) = 2*r**2 + 8*r + 2. Let f = -58 - -59. Give f*c(k) + 6*o(k).\nAnswer: 2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -192*v**3 + 5*v**2. Let u(q) = -288*q**3 + 8*q**2. Give -5*u(m) + 8*x(m).\nAnswer: -96*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 4}. What is prob of picking 2 w and 1 t?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17405*a**3 - 23 + 23 + 17399*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008721?\nAnswer: 7, 144103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5002986211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*z - 16 = 3, -2*z - 1 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -296, 4\/23, -1\/3, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/342*3\/((-120)\/10)*-2?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1211\/8 + 151. Let z be 55\/(-62)*6\/(-5). Let k = -1746\/155 + z. Find the common denominator of k and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.004 - 2.004. What is the second biggest value in -5, 1\/6, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**2 + 5 + 3*g**3 - 11*g - 2*g**3 + 2*g. Let l be s(8). Let o be -2*(-2)\/(-4) - l. Solve -1 = 5*y - 3*u, -o*y + 6*y = 2*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231 - 231.1. Let j = 3 - 7. What is the closest to f in j, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-8) - 207\/24)*-2. What is the greatest common divisor of r and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1443631*d + 2299171 with respect to d.\nAnswer: 1443631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*o - 4576 = -48*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((56\/6)\/(-1))\/(6\/(-45)). Let w be 373278\/21*-4 - (-40)\/t. What is w rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15898298?\nAnswer: 2, 13, 17, 35969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, 19, -914 in decreasing order.\nAnswer: 19, 17, 3, -914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z - 15 = 0. Let k(x) = -4*x - 4. Calculate the lowest common multiple of 4 and k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 2. Let j(m) = -27*m**2 + 37 - 9 + 7*m**2 - 12*m**2. Let f(s) = -3*j(s) + 42*n(s). Let w(a) = -2*a**2. Determine w(f(h)).\nAnswer: -5832*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 + 809984*u - 4049820 = 0. Calculate u.\nAnswer: 5, 202491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - l**3 - 4 + 7*l**3 + 6*l**3 + 14*l**3 + 5*l**3 - 5*l**3 + 2*l**3 + (0*l - 4*l**3 + 0*l)*(-1 + 5 - 3) - 4*l**3 + 4*l**3 - 6*l**3.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1067 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 - n - 6 + 4*n + 18 - 14 to the form z + w*n**2 + m*n and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 1, -2331685 in descending order.\nAnswer: 34, 1, -2331685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 16.8, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, f: 5, v: 5}. What is prob of picking 1 f, 2 v, and 1 b?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/421236 and -21\/889276.\nAnswer: 8003484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -838*l + 4. Let v(c) = -4188*c + 22. What is 4*v(q) - 22*z(q)?\nAnswer: 1684*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*z - 653*z + 220*z + 214*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:01 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*v**3 + 426*v**3 + 365*v**3.\nAnswer: 824*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*y + t + 10, 5*y + 5*t + 25 = 0. Suppose 20 = 2*x - y. Let r be (2\/(-3) + 0)*-3. Solve -x + r = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34600 and 4984.\nAnswer: 21555800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*u + 3*y, 2*u - 4*y + 9 = -33. Let a = u + 31. Suppose -95*x + 316 = -56*x + 40*x. What is the lowest common multiple of a and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -303 + 305. What is the third biggest value in 3, -1, -10, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32142 is divided by 944?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 464.1 - 464. Suppose 6*o = o + 1170. Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1107.5348 - -1051.51. Let a = y - -56. What is a rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 955*x - 950.\nAnswer: -5*(x + 1)*(x + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147.\nAnswer: 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 371020.5 nanometers in meters?\nAnswer: 0.0003710205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + w = -38, 4*g - 140*w + 144*w - 144 = 0. Calculate the greatest common factor of g and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001121 rounded to 5 dps?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 11*j. Calculate q(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*(sqrt(684) + (3 + sqrt(684) + -4*sqrt(684) + sqrt(684))**2) + 0.\nAnswer: -13720 + 330*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 5 (b) -3\/2 (c) -0.5 (d) 103\/4 (e) 32\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/9))**(-17)\/(o**(2\/3)\/o)**(13\/4))**(32\/3) assuming o is positive.\nAnswer: o**(-232\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131)\/10 - 5088\/(-50880).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811454544?\nAnswer: 2, 3, 1878367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 1282*z**2 + 18*z - 9. Let i(g) = -g**3 - 640*g**2 + 8*g - 4. Determine 9*i(j) - 4*t(j).\nAnswer: -j**3 - 632*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -12290\nAnswer: 27\/12290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 4, -80, -248, -524, -932, -1496, -2240?\nAnswer: -3188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a hour in minutes?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2 + 2*i - i)*(-10 + 41 - 21).\nAnswer: -20*i + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1135476419 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 6:28 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011842 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 461509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 25. Let b = 15 + j. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 9*g**2 + 9*g - 3. Let t be c(8). Suppose -t*z + 19 = -6. Suppose 2 = -z*r - k + 77, 4*r - k - 60 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 303 + -257 - ((-12 - 2) + (-30 - -25) + 8).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639618633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*g**2\/7 - 8*g\/7.\nAnswer: 2*g*(13*g - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 1, t: 2, m: 2, r: 2}. What is prob of picking 1 r and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/5, -5394 in ascending order.\nAnswer: -5394, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a centimeter in millimeters?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 1 - 3 = 0. Let h(q) = -q**2 + q + 1. Let m be h(z). Is 2\/11 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1082*n**2 + 1082*n**2 + 12*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -705*t**2 - 39*t + 1. Let p be r(2). Let a = p + 5832. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 - 13 = 3*x. Let z = x + 53. Calculate the greatest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77\/10 + -23\/4. Let o = -7261\/804 + -7\/134. Calculate the common denominator of o and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(1980)*3 - sqrt(1980) - sqrt(1980)))\/((-1*sqrt(132))\/sqrt(12)) + 5)**2.\nAnswer: 50*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.39176 and -0.06.\nAnswer: 4.33176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 43 = -3*k. What is the remainder when k is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9744.651 hours to minutes.\nAnswer: 584679.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 1\/360*i**5 + 0*i**3 + 9*i + 0 - 1\/144*i**4 - 3\/2*i**2. Let r(z) be the first derivative of l(z). Let r(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -147 and 0.5009427.\nAnswer: -146.4990573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (392\/(-65))\/(5\/((-225)\/3)). Which is smaller: 90 or l?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 8:45 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**13*f**(-2\/13)*f**15*f**(3\/5) assuming f is positive.\nAnswer: f**(1914\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8120425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**3 - 2*y**2 - 2*y - 1. Let k be v(-1). Let d be (315\/(-18))\/7*(-60)\/25. What is the second smallest value in 0.3, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144200 is divided by 247?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.04 - 0.04. Let a(g) = -g**2 - 3*g + 7. Suppose t + 2*y + 1 = 0, -t = -4*t - 3*y - 9. Let p be a(t). What is the closest to 2 in p, 1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -481597, -2, 2 in ascending order.\nAnswer: -481597, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15366 - 160.63034. Let j = i + 160.71399885. Let v = j - -0.07. What is v rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, -5, -1 in decreasing order.\nAnswer: 14, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9427 = -2*g, -5*o + 23608 = 5*g - 6*o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*f**2 - 43*f**2 - 1714*f**2.\nAnswer: -1539*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1050\/1225)\/(1\/(-21)*3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/(8\/(320\/(-72)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/5 + 54*s**2\/5 - 114*s\/5 + 58\/5 = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100.96 - -103. Let d = -0.04 + f. Let h = d + -2.5. Put 0.4, -5\/4, h in decreasing order.\nAnswer: 0.4, h, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 123*n**2 - 50*n + 10909 wrt n.\nAnswer: 246*n - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-322)\/115*(-5)\/(-2). Is s\/(168\/(-21256))*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 13*s + 14. Let g be b(13). Find the third derivative of j**2 - 3*j**3 + g*j**3 + 6*j**2 + 3*j**2 wrt j.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/3*(-51)\/153?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:59 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 59*z - 9. Let w(n) = -479*n + 1 - 485*n + 4 + 935*n. Give 4*a(v) + 7*w(v).\nAnswer: 33*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 407468\nAnswer: 162987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:42 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l + 216. What is x(-28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.45 - -0.05. Let i be (-1)\/(-3) - (-14)\/(-6). Let r be i\/2 - 10\/(-4). Which is the second smallest value? (a) r (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084 = -f - 1312. Let v = 740363\/309 + f. Let r = -583\/10815 + v. What is the fourth smallest value in 5, r, -1, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2 - c**2 + 3 - 1. Let h(b) = -b. Calculate h(a(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 14 + 24 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 7*w - 12. What is the highest common divisor of 27 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766173141 + 234973157 = 4*h. Let o = -40 - -32. Let n be h\/o - 2\/(-4). What is n rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 805 + -809. Let h(r) = -r**3 - 5*r**2 - 8*r - 13. Let j be h(c). Solve 2*f = d + 8, 5*f - 32 = -j*d - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*n + 1868*n = -23718 - 92731 for n.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = -7*y + 296. Let h(n) = 4*n - 1. Determine h(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1332851333 divided by -28358539\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*g**3*y**2 - 3*g**3*y - 10*g**3 - g**2*y + g + 139*y**3 + 123 wrt y?\nAnswer: 468*g**3 + 834*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -599, -951, -1303, -1655, -2007?\nAnswer: -2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7*89899.5\nAnswer: -629296.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3480\/(-6670))\/((-10)\/230).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 11:10 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + 3 + 7 + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 + 404?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/6 - 3\/9. Let n = -74 + 79. Solve 2*u - 3*f + 6*f - 16 = 0, f = n*u - c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*z = -24, -3*z + 6 = 2*w - 1. Suppose -w*f = -0*f - 85. What is the highest common divisor of 153 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, -52, 5, 0 in descending order.\nAnswer: 192, 5, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 654719290 by -130943858.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msms when four letters picked without replacement from nmsmsmsmssmmmmn.\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by -42.\nAnswer: -20\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144245720 and 760.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.99 + -8.99. Which is the third smallest value? (a) -6 (b) 17 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 45 = -7*h, -20 = -5*s + h - 10*h + 5*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-30)\/((s**5\/s)\/(s\/(s*s\/s**(3\/10))*s)))**(-4\/7) assuming s is positive.\nAnswer: s**(674\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 117723353 and -10?\nAnswer: 117723363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -636 + 636 + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04385 in -3, 6\/5, 2, 7?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 1*(441 + 0). Let f = a + -203. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45988 equal to -45988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 4*i - 3. Let p(a) = -3*a**2 + 3*a + 2. Let s = 78 + -76. Determine s*r(t) + 3*p(t).\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 0.5 (c) 1279 (d) -3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -8*i + 1. Let t be y(-2). What is the greatest common factor of 6596 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 8:54 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqoookokokokookko. What is prob of picking 3 o?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - a - 5. Let c be v(4). Suppose -5*r + 0*h = -h - c, 0 = -3*r + 4*h + 24. Solve 2*t + 0 = r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*u - 74*u + 3*z + 7 = 0, -3*u - 4*z + 24 = 0. Which is the third smallest value? (a) 1 (b) 2 (c) -0.84 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 2*r**3 - r**2)*(0*r**2 + 4*r**2 - 5*r**2) + (1 + 4 - 1)*(-14*r - 14*r + 2*r)*((-r + 4*r + 3*r)*(-1 + 1 + 2*r**3) + 5*r**4 - 4*r**4 - 2*r**4).\nAnswer: -1142*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)*-4 - 90\/(-25). Sort t, -30, 4 in descending order.\nAnswer: 4, t, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18707 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14688978.328 to the nearest one thousand.\nAnswer: -14689000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 18*r)*(4 - 3 - 2)*(2*r**4 - r**2 + 4*r**2 - 4*r**4).\nAnswer: -36*r**5 + 54*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-75) - (-1398)\/(-5). Let j = 1957\/7 + l. Let g = 55 - 55. Which is the nearest to -2\/7? (a) g (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + sqrt(176) + 0 + sqrt(176))**2*-5 + sqrt(176))*2.\nAnswer: -15840 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 98 + 50 = 0. Calculate the highest common divisor of l and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -565*k + 554*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**4 - 14*o - 7*o**4 + 3*o**2 - 12 + 15*o to the form w*o + n*o**4 + y + u*o**3 + i*o**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by (-18)\/(-3)*2\/12*34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, -3, 27 in decreasing order.\nAnswer: 27, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -424, -666, -906, -1144, -1380?\n\"Answer: j**2 - 245*j - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-2464)*320)\/(3*2\/66)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4394, 4483, 4640, 4871, 5182, 5579?\nAnswer: 6068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -92*p**7\/15 - 5*p**4\/8 + 7*p**3\/6 - 196*p**2. Find the second derivative of s(v) wrt v.\nAnswer: -15456*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1196.6 - -1312. Let j = -21.4 + v. Let k = 93.999862 - j. Round k to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-18)*(-576)\/48*(-15)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((-24)\/374)*78\/(-26). What is the greatest common factor of 77 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhhyhyhyohoyhyoyyy. Give prob of picking 2 o and 2 y.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 4 + 6*y - 8*y - y - 8*y + 13*y**2 - y. Let h = 30 + -18. Let k be u(h). What is the second biggest value in -2\/3, -0.01, k?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiim when four letters picked without replacement from miviy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1998398400 divided by 12\nAnswer: -166533200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(7)*1 - (sqrt(448) + -1*sqrt(448) + sqrt(448))) + ((sqrt(1008) - -3*sqrt(1008)) + 3)*3)**2.\nAnswer: 1918*sqrt(7) + 131432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(3 + 87\/(-27)). Let q = -9 + s. Solve -5*b = q, -4*p - 3*b - 8 + 0 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1055*c**2 + 1055*c**2 - 21*c**3.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10036 = 2600*m - 2793*m for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345572967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d**2*m**2*y + 235*d**2*m**2 + d**2*m - d*m**2*y - 334*d*y - 3*m**2*y + 2*m*y wrt d?\nAnswer: -20*m**2*y + 470*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (12 + -9 - 8) - (-10 + 23 + -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 9. Is 2\/5 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.113 + 0.113. Let m = -0.6 - -0.2. Sort x, -3, m in descending order.\nAnswer: m, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353*0.3.\nAnswer: 105.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/792 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 16) + (1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 62 + 3429 + 1852 - 914.\nAnswer: -2*m + 4305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-378)*(-180)\/(-8)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 1. List the prime factors of (6\/j)\/(4\/72).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -48. What is the remainder when 7 is divided by (-10)\/3*((-84)\/k)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.501 + 2.901. What is the closest to 3 in 1.1, d, -1, -3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 680*v**2 - 256*v - 1726. List the prime factors of g(-7).\nAnswer: 2, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2497638)\/(-351) + (-2)\/(-9). Suppose -19*i + 959 = -n. What are the prime factors of i?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = 2*l. Let c(m) = 0*m**2 + 2*m - m**3 + 0*m**3 - 2 - 2*m**2. Calculate the lowest common multiple of c(l) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*7*30\/(-420)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let b(g) be the second derivative of g**6\/60 - g**4 + 3*g. Let d(i) be the third derivative of b(i). Give d(t(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (1*sqrt(209) - sqrt(209)))*2 - 1*(sqrt(209)*2 - sqrt(209)))\/((sqrt(77)*1)\/sqrt(7) + 1*(sqrt(44) - sqrt(11))).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6)*173\/2 - -2. Let g = f + -869\/12. What is the common denominator of g and -65\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 79. Suppose 2 + 0 = u. Solve c*p = u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s - 52 = 4*z, 5*z = 2*s - 56. Suppose 30*g + 180 = 34*g. Calculate the greatest common factor of s and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 70*w - 67*w - 13, -3*p = 3*w + 15. Let r = -6.3 - -6. What is the fourth biggest value in 12, r, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-266)\/(-2) + -2 + 1. Let r be (-169)\/(-7) + ((-111)\/(-7) - 16). What is the greatest common divisor of w and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - 52 = -362 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12650520.33ns to weeks.\nAnswer: 0.000000020916865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1588 - -1587. Let a(k) be the first derivative of k**3 + 2*k**2 - k - 7. Let d(n) = n**2 + n - 1. Calculate p*a(c) + 4*d(c).\nAnswer: c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p**2 - p**2 + 17 + 9. Let z be w(0). Suppose 3*v - 5*v = z. Is -15 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -2\/11 (c) 0.43 (d) 51 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7104 - 7095. Let k(s) be the third derivative of -s**5\/60 + s**4\/24 + s**3\/2 + s**2. Let f(z) = -4*z**2 + 4*z + 13. Give j*k(q) - 2*f(q).\nAnswer: -q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1936 = 179*u + 757 + 7437 + 4482 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1245\/955*2*6\/(-72) and (-792)\/560*(-50)\/10.\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*w**3 + 65*w**3 - 19*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i = 744. Let n = 383 - i. What is the highest common factor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3672 = -2*x, -s + 4*x + 669 = -270. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183433246?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2 - 2)*(-10 - 8*i + 10) - 4*i**2 + 0*i**2 + 3*i**2 + (-4*i**2 + 77 - 77)*(1 + 3 - 7) + (2 - 4 + 1)*(i - i + i**2).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:17 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97974102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20212*p**3 + 10084*p**3 + 10163*p**3.\nAnswer: 35*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29342.3149 rounded to the nearest one hundred?\nAnswer: 29300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2770000 is divided by 295?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 19 = -23. Suppose 142 - 84 = u*i. Calculate the remainder when i is divided by -2 - (-2 - 12\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 3*m**2 + 2. Let v be f(2). Let h(l) = -l**3 + 5*l**2 + 8. Give h(v).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2 - 6*l - 5. Suppose v = 3*o + 4, 0*v + o = v - 4. Let y(q) = -5*q**2 - 5*q - 4. What is v*t(u) - 5*y(u)?\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155 - 148.22. Let d = -6.8 + x. What is the closest to 1 in 2, -12, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*(5\/1)\/(-5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 16*j**2 + 2*j. Let v = 5 - 3. Let x be w(v). Suppose -4*t + x = 4*m, -3*t - m + 5*m = -30. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -156, -155, -152, -147, -140, -131?\n\"Answer: g**2 - 2*g - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3\/3 - 23233892*r**2\/3 + 33738230804960*r\/3 + 371123350160816\/3 = 0.\nAnswer: -11, 2904242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 162*x**3 - 7*x**2 + 181*x + 640. What is r(-3)?\nAnswer: -4340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/2*-165 - 4. Suppose 2*f = 5*f + 1671. Let j = k - f. Find the common denominator of -63\/20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22723037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -26*f + 2. Let y be j(-2). Suppose 4*l - 3*l = y. Let s = l + -38. Solve 4*n + s = w, 0*n - n - 2*w = -5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 1. Let a be i(8). Let g be (-1)\/(a\/4 + 2). Suppose -158 = g*m - 6*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 2. Let g be v(2). Suppose 0 = -g*r + 4*r - 30. Let i be 258\/r + 1\/(-5). What is the highest common divisor of i and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (2 - -4) - 0. Let m(u) = -u**3 - 4*u**2 + 3*u + 12. What is the tens digit of m(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 - 5*k - 4. Let b(a) = -a**2 + a + 1. Let u(s) = -3*b(s) - y(s). Let o be (-4 - -1)\/(0 - 1). Calculate u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46668 - 116*j - 2*j**3 - 2*j**4 + 93331 - 46667 to a*j**2 + q*j**3 + s*j + b + k*j**4 and give s.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.127 - -0.2?\nAnswer: -0.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96 in -4, -277\/3, -0.1?\nAnswer: -277\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 6. Suppose 4*w - 104 + 1168 = 0. Let j be (-826)\/w - (-8)\/(-76). Solve j*b - g = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 45?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33057507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*t = 20, t = 2 - 1. Suppose -4*i - 23 = 4*p - 9*p, -4*i - 4*p = -4. Let q be 5*(d - i - -9). Solve 5 - q = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4986*o + 5009. What is y(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -54*o**3 - o**2 - 2*o - 1. Let l be v(-1). Let n = l + -44. Suppose -6*w = -n*w + 220. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:29 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14156*b**3*o + 2*b**3 + b**2*o + 2*b**2 - 3*b - 678919*o wrt b?\nAnswer: 84936*b*o + 12*b + 2*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f + 12 = 3*h, 2*h = -2*f + 16. Suppose s = f*s - 4. Let y(k) = 4*k**2. Let t be y(-1). Solve -s + t = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = r - 94 - 191, -1395 = -5*r + 5*b. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) 3\/4 (c) 3952\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*a + 1 + 27*a + 1 - 16*a + 6*a + 4*a.\nAnswer: 46*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1757 - -1538. Sort a, -2\/15, 0 in decreasing order.\nAnswer: 0, -2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 130490334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163970169 by -54656723.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/9*s + 20\/9*s**2 + 0 + 2\/3*s**3 = 0 for s.\nAnswer: -4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 13*d = -42. Suppose -14 = d*q - 14. Suppose 3*z - 2*z - 2*n - 46 = q, -230 = -5*z + n. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:33 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 - -164. Let t(x) = -5*x - p*x - 2*x + 14*x. Let d(h) = 2*h - 3*h + 3*h - 5*h. Determine d(t(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 166?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 9. Let c be u(5). Let o(a) = -586*a + 1. Is o(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2042 + -26?\nAnswer: -2068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -7 - (12 + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + k - 12, -k = -2*k. Suppose 0 = b - 36 + l. What is the remainder when 46 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 796 = 5*x. Let c = 48 - x. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 9. Solve w + 16 = -3*t - 3, -3*w - g = -t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 5. Let q be z(-4). Suppose -2*j - 3*a + 193 = 0, 0*j - 4*a = j - 104. Calculate the common denominator of 61\/9 and -9 + q + j\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7523106 weeks in days?\nAnswer: 5.2661742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3265199.\nAnswer: 7, 31, 41, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189168.4 + 189180.400344. Let w = g + -12. Round w to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 1\/7642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1377359*u**3 - 688671*u**3 - 688686*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -901*o**3*t**5 - 2*o**3*t - 12*o**2*t**2 - t**6 - 79*t**2 wrt t.\nAnswer: -54060*o**3*t**2 - 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from nnnrrrqrqrrr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gheehhhgegmh. What is prob of picking 1 e and 1 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95.6 + -80.2. What is the biggest value in 5, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10417 is divided by 417.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 154944591233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 318 and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3817898 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d - 5*w + 1, -2*w = -2*d + 24. Let a be 167\/d + 4\/(-22). What is the units digit of ((-3)\/2)\/(a\/(-80))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. Let u = -3 + w. Solve -3*l = -u*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 + 145. Let a = -66 + q. Suppose -a*d + 16 = -2*n + n, -36 = 3*n - 5*d. Which is bigger: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 77 = 3*u - 24, -36 = -u + 2*w. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.082 - -0.018. Let t = f + 0. Suppose -4 = 2*r - 3*r. Is r greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64564 (base 10) in base 12?\nAnswer: 31444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 259629944553 and 0.1.\nAnswer: 259629944553.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at least as big as -6319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-7))\/z*z**(-1\/2))\/(z**(-1\/2)\/z)**(9\/8) assuming z is positive.\nAnswer: z**(131\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 4*c - 5*c)*(5*c + 0*c + 0*c) - 2*c**2 - 5 + 5 + (0*c + 0*c - 2*c)*((3 + 1 - 3)*(-2 + 2 + 2*c) - c + 0*c + 3*c - 3 + 3 - 2*c).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61807 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193 + -183. Let k = 0.5 - -0.5. Put 2\/7, z, k in descending order.\nAnswer: z, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3175556 is divided by 152.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -4*w - 0*w + v, -2*w + 92 = -3*v. What is the remainder when w is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239.0348 - -239. What is m rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.261 in -1, 0.5, 5, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 346733\/175434 - 1\/4177. Let o = l - 7\/2. What is the common denominator of -58\/3 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1064780891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1477*q. Let t(x) = -173*x**2 - 726. Calculate l(t(m)).\nAnswer: -255521*m**2 - 1072302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 13. Suppose 69 = 5*z + 14. Let w = z - c. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*h + 124*h - 240 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 41 - 14. Let j = 9 + -3. Let k be j\/c + (-182)\/(-9). Solve 2*x = -2*s - 2*s, 3*x - 4*s + k = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 87. Let d be c(19). Let s = d - 102. Find i such that 0 - 6\/7*i**s - 6\/7*i**3 - 2\/7*i**2 + 0*i - 2\/7*i**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 624*h**4 - 2*h**3 + 7*h**2 - 43*h + 1927866.\nAnswer: 2496*h**3 - 6*h**2 + 14*h - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4532 - -4531. What is the closest to a in -3\/4, 84, -1\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 w, and 1 f when four letters picked without replacement from iwiwff.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -303 + 302.97444. Let j = 0.024 + b. What is j rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-57) + 12\/(-99)*-4\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*u**2 + 16*u**2 - 39*u**2 - u**2 + u - u + (-2 + 2 - 1)*(-2*u**2 + 2 - 2) + 9*u**2 - 38*u + 38*u as f + o*u**2 + x*u and give o.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/14 and 854\/336 - (-2)\/(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2336ab5 (base 12) to base 3.\nAnswer: -110210002201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5 = -3*a, 9*a + 1836 = 4*p + 1751 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 7:06 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2886 and 333294?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 222*n + 2 + 823*n + 2. Suppose 0 = -5*x + 10*x + 2*m + 1, 4*x = 2*m + 10. Is y(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-2))**(1\/21))**(22\/3) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 8 - 12. Let a = 6 - g. What is the first derivative of -l - 2*l + 3 - a wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 106247 = 3*h - 2*p, -5*h = 5*p - 177070. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12038283.\nAnswer: 3, 37, 36151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2 + 6*c - 5. Let k(i) = 3*i**2 - 7*i + 6. Suppose 8 = 15*h + 98. What is h*k(t) - 7*v(t)?\nAnswer: 10*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2 = 0, -5*h - 54 + 40 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*o - 43476 = 0, -2*o = 2*o + 16. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*w = 6*w + 1056, 851 = 4*v + 3*w. What are the prime factors of v?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1036\nAnswer: 3\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463\/827447 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at least as big as 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 + -135 - ((6 - 3) + -2 - -12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4*o - 3 = 0, -5*o + 7*o + 4 = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 17 - 24 - 22 + 12*q**2.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -17 - (47 + -25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/(-6) + (-73125)\/(-1495).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from {f: 2, s: 1, k: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**1*i))**(1\/11)\/(i**(-1\/8)\/i**(-6)))\/(i\/(i\/i**(-5))*i**(-6)*i\/(i*i**(-5\/4))*i*i*i*i**(-1\/5)\/i) assuming i is positive.\nAnswer: i**(873\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3821450 by -3323.\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-756)*14*9*3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 1476 = 15*a + 13*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u - 26*u = -1736. Let o = 35 - u. What is the smallest common multiple of 62 and o?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 9*r = 4*r + 40, 5*r = -4*j + 80. Let g = 52 + -2. Calculate the greatest common divisor of g and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -1 - (11 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 7. What is the units digit of 1 - (-1 + 1*h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.233233679 rounded to 4 dps?\nAnswer: -8.2332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 115*h - 56*h - 57*h. Let k(n) = 30*n - 60. Let a(o) = -3*o + 6. Let v(w) = 21*a(w) + 2*k(w). Calculate d(v(r)).\nAnswer: -6*r + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**4*u\/(u\/u**7)*((u*u**(-2\/3))\/u*u)**(6\/19) assuming u is positive.\nAnswer: u**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 7*p. Let n be j(-7). Let h be -2 + 9 + 0 + 20\/(-4). Suppose n*k - 4 = -h*k. Solve 4*g - k = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 15, -4*a - 1 = -x - 13. Let -5*q**5 + 0*q**5 + x*q**2 - 20*q**4 - 4*q**3 - 3*q**5 = 0. Calculate q.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-6)\/(-18)*12)\/2. Suppose 15*w + 26 - 26 = y. Solve -j + 2*u = -w*j + 8, 3*j = -2*u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369627 + 1732687 = 38*s. Is 306 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -7*y + 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 11*x**2 + 4*x + 24. Give b(10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - 2*w**3 - 4*w**3 + w**3 + 2*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7.07. Let r = 0.43 + t. What is the second smallest value in -1\/8, -5, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -163, -155, -135, -97, -35?\n\"Answer: i**3 + i - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 4*v**4 + 6*v**4 + (-2*v**2 + 4*v**2 + 0*v**2)*(-v**2 - 2*v + 2*v) + 51 - 47 - 2*v + 2*v**4 + 4*v.\nAnswer: v**4 + 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07121 and -3794.\nAnswer: -3794.07121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14971 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -38*w + 7. Let t be c(0). Solve 0 = 17*z + t + 78 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v + 2 - 2 + 5*v. Let i = -3 + -4. What is the units digit of n(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v - 24 = 56*v. Solve 4*l - v = 4*w, -29 = 2*w + 2*w - 5*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 = 4*b + 117, 4*b = 0. Suppose -o - 3*o + c = 0. Solve -3*h - u = -2*u + o, 2*h + 7 = 3*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 3. Let m be f(4). Let k(t) = 5*t**3 - 6*t**2 + 6*t. Let y(l) = 4*l**3 - 5*l**2 + 5*l. Give m*k(n) - 6*y(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 42966 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7838, -16276, -24714?\nAnswer: -33152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 257123\/3794 - 949\/14. Let r = -11426\/2981 - o. What is the common denominator of r and -31\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 5442 + 840. Suppose c = -5*r + i, -5*r - 2*c + 552 = -144. Calculate the greatest common factor of 100 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*p - 13005. Calculate the common denominator of (-4)\/14 - p\/210 and -55\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477441373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 9 = -2*n - 0*n, 0 = -3*n - 4*r + 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*v - 1893 = -421 + 640. Solve -217*s = -213*s - v for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7675247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - l**2 + l - 7. Suppose 0 = b - 5 - 5. Let m = -5 + b. Suppose 0*v = v + m*r - 25, 10 = 2*r. Determine n(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 37 + 7*m - 70 + 41. Let t be y(17). Suppose 0 = 2*c - t - 21. What are the prime factors of c?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 685?\nAnswer: 53430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-60))\/(6\/15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54182440 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7*a - 6. Suppose q + 68 - 220 = -2*l, a*q + l - 292 = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*d**3 + 94*d**3 - 247*d**3.\nAnswer: -520*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10148 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1754?\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044598 to four decimal places.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4528)\/4245 - (-21312)\/(-270).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34824791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/63? (a) -14 (b) -0.5 (c) -0.4 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**3*i**2*l + 18262*g**3*l + 39*g**2*l + 33*g**2 - 13*g*i**2*l wrt g?\nAnswer: -24*i**2*l + 109572*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -777 times -0.022\nAnswer: 17.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 + -0.03. Let n = -0.02 - l. Let w = 13\/14 + -3\/7. Which is bigger: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -574*c**3\/3 + c**2\/2 + 326*c - 3570. Differentiate m(z) with respect to z.\nAnswer: -1148*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8\/3, -92, -1\/2 in decreasing order.\nAnswer: 8\/3, -1\/2, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, -5, 7, 3, -106, -40 in descending order.\nAnswer: 7, 3, 1, -5, -8, -40, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 3*h - 4. Determine n(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 3.04. Let z = -1456\/3 + 450. Let u = z - -35. What is the closest to 3 in m, u, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 4*i - 4*i + (-5*i + 5*i - 3*i**2)*(22 - 194 + 27).\nAnswer: 434*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*z - 18102 = -106*z for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 12.18. Let l = -9 - -8.92. Let m = y + l. What is the second biggest value in m, 5, -1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 at least as big as -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = k - 4*z, -4*k - 2*z - 3*z + 218 = 0. Let q = -29 + k. Suppose 2*m = q + 3. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80693168063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -19*q**5 - 4*q**4 - 4*q**2 + 2*q + 4. Let a(h) = -h**4 - h**2 - h + 1. Let m(l) = 4*a(l) - y(l). What is the second derivative of m(v) wrt v?\nAnswer: 380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 20*l - 33. Calculate the remainder when o(30) is divided by 89.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*s**4 - 12*c*s + 178*s**4 - s**2 - 5*s wrt s?\nAnswer: -12*c*s**2 + 2136*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 85.15*-2.4\nAnswer: -204.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 113472637 to the power of 1\/2, to the nearest integer?\nAnswer: 10652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**3 - 3*t**2 - 3*t - 2. Let x(a) = -6*a**3 - 2*a**2 - 2*a - 2. Let k(d) = -2*b(d) + 3*x(d). Differentiate k(o) wrt o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1036 - 1032. Let y(h) = -h**3 - h**2 - h + 28. Let i be y(0). What is the greatest common factor of k and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 10*q**2 - 30*q + 19. Let o be i(10). Let a = 284 + o. Solve 0 = -f - a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - u**2 - 2*u**2 + (-u + u + 2*u**2)*(2 + 0 - 1)*(9 - 5 - 28).\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 equal to -237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**4 + 3*i - 3*i)*(9 - 35*i + 69*i - 39*i).\nAnswer: -40*i**5 + 72*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 22. Suppose 8*w - h = 3*w. Find the second derivative of 5*f**w - 7*f**4 - 7*f + 3*f**4 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*((-4)\/(-4) + -877). Let s = -586 + w. Suppose -2*r = 2*j - s, 4*j = -0*r + r + 580. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4985, -9972, -14947, -19904, -24837, -29740?\n\"Answer: r**3 - 4994*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 2, q: 2, c: 1}. What is prob of picking 1 p and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*t**3 + 87*t**3 + 134*t**3 + 129*t**3 + 28*t**3.\nAnswer: 293*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3773308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4478 by -1.\nAnswer: 4478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 4)*(-3*r + 0*r + 2*r) - 1679 + 5*r + 5*r + 1677 + (-1 + 2 + 0)*(0 + 0 - 2*r) + 4*r + 0*r - 3*r as b + w*r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3441 + -3439. What is the nearest to 0.1 in s, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -781*f**5 + f**2 - f + 5530?\nAnswer: -15620*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12993.\nAnswer: 3, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(76) - -1*sqrt(76)*6)\/(-2*sqrt(100)))**2.\nAnswer: 8379\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*255\/55539*-9.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 185*n**2. Let v(a) = -3*a + 18. What is v(p(x))?\nAnswer: -555*x**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 3, 2928, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a - 3*a - 11 + 18*a. Let i(l) = 4*l - 6. Give -5*i(b) + 3*r(b).\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 154, 545, 1190, 2083, 3218, 4589, 6190?\n\"Answer: -c**3 + 133*c**2 - c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -2*o**3\/3 + 32*o**2 + 24*o. Let i be r(11). What is the greatest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Let n = j - -1.3. What is n rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - 457\/4. What is the common denominator of -1*((-1395)\/(-6))\/5 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 14*z + 11. What is the tens digit of a(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24642 by -4.\nAnswer: 12321\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14823720 rounded to the nearest one hundred thousand?\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (386\/180)\/((-165)\/45). Let s = 1\/66 - i. Factor -9\/5*t - s*t**2 - 6\/5.\nAnswer: -3*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -31257*q - 1250277. Calculate x(-40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 11) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-6 + 20 - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23 <= -2413\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 20 = 8. Suppose 0 = r*w + 40 - 112. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(2) + sqrt(9))\/(4*sqrt(9)\/sqrt(3)).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.058 - -0.237. Let z = 0.17 - y. Let g = 0.01 + z. What is g rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -282*l + 283*l + 5*q, -l = -2*q - 14. Let m(o) = 14*o**2 - 2*o - 1. Let d be m(-1). Solve -h - l*h = d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -496 + 492. Sort q, 5, 153 in descending order.\nAnswer: 153, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -3*4*sqrt(85)\/sqrt(80) + -4)*-3)**2.\nAnswer: 486*sqrt(17) + 2106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79b0 (base 13) in base 4?\nAnswer: -10022103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 and 59\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6321, -12859, -19691, -26811, -34213?\n\"Answer: m**3 - 153*m**2 - 6086*m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2\/5, 20\/149, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 469080 divided by -15636?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401234 is divided by 97?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (19 - (-1 + 11))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -35*t. Let q(m) be the first derivative of 2*m**3\/3 - 2. Determine q(o(j)).\nAnswer: 2450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -741 by 19.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from fsttt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-32)*(-2)\/(-3)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, p: 1, e: 2, s: 2, g: 9, x: 1}. Give prob of sequence pegg.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 534, 605, 676, 747, 818, 889?\n\"Answer: 71*z + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3*r - 3)*(-2 - 4*r + 2 + 3*r - 2*r - 4*r + (0 - 5 + 3)*(-2 + 2 - 2*r)) to p*r**2 + m*r + x and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 2314\/39 + (-6)\/(-9).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008 is divided by 125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 - 69. Suppose 4*m - 6*m = 2*u + 26, 5*m - d = 2*u. Let x be 2\/u + (-290)\/(-12). Calculate the greatest common factor of 192 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 23*n**2 + 76*n. Calculate y(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 78) + (-61 - -111).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247519120 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 8 - (8 - 5). Suppose -l*x + 24 = x. Solve 3*b - b - x = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -4*b + 2*p, -4*b - p = -88 - 53. List the prime factors of 970\/b + 2\/7.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 12 - (13 + -8 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-9) + (-4)\/18. Let x(w) = 3*w**2. Let p(v) = 9*v**2 - 1. Let u(b) = r*p(b) + 7*x(b). What is the first derivative of u(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -3, -31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - 3 - (-58 - -2). Does 3 divide r\/14 + 4\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/5)\/((-3)\/(-75)). Solve -v = -6*v + b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102301, -102261, -102181, -102049, -101853, -101581?\n\"Answer: 2*c**3 + 8*c**2 + 2*c - 102313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 135 = -11*q. Let r = -949\/7 + q. What is the closest to 0.3 in -4, r, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21010? (a) -4\/5 (b) 0.4 (c) -1.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2813 + 23454. Let z = x + -20640.9980017. Let o = z - 0.002. What is o rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqi when three letters picked without replacement from {i: 10, q: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -200 - -200.0000192. What is a rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, 57 in ascending order.\nAnswer: -5, -1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187*n = -1192*n + 3578*n - 1191*n - 4*d + 252, 2*n = 3*d - 57 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 17*m - 4*m - 10*m - 345*m**2.\nAnswer: -345*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 135928, 135926, 135924, 135922, 135920, 135918?\n\"Answer: -2*m + 135930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three twentieths of a century?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -24. Let t = -31 + y. Let f = 28 + t. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3018 is divided by 337.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -16311\nAnswer: 489.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - d - 2*d)*(-99*d - 16*d - 91*d)*(0 - 1 + 3).\nAnswer: 3296*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585, 2511, 5863, 10635, 16821, 24415, 33411?\nAnswer: 43803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 131966923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*h**4 - 56*h**2*q**2 - 3*h*q**2 + 364*h*q - q**2 wrt h.\nAnswer: -216*h**2 - 112*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*h**2 - 8*h**3 + 63*h**2 - 20*h**2.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -a03 (base 14) in base 15?\nAnswer: -8ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3836845m?\nAnswer: 38.36845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p + 6. Let i be f(5). Suppose -6*m - 19 = 149. Let q = i - m. Calculate the remainder when q is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*v + v - 4*h, -v - h = -44. Suppose -12*a + v = -10*a. Solve -5*w = -w - a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2 - 6. Suppose -l + 5 = d*l. Suppose 0 = 26*o - 119 - 167. Calculate the greatest common factor of l and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224847084 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1008*w**2 - 555*w**2 - w + 3*w + (3 - 3 + 1)*(-2*w + w**2 + 2*w) - 2*w**2 - w**2 + w**2)*(w + w + 0*w).\nAnswer: 904*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 at most as big as 1614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 186152900?\nAnswer: 186152900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -2\/17 (c) -33\/2 (d) 1\/3 (e) 2\/3 (f) 2 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r + 10*r - 4176 = 0. Let z = -160 - r. What is the remainder when 235 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 6, c: 8, u: 3}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 1137, 2329, 3997, 6159, 8833?\nAnswer: 12037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 35 - 27. Let m = 20 - -7. Let j = m + f. 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 xth term of -23215, -92754, -208653, -370912?\n\"Answer: -23180*x**2 + x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -588 = 8*i - 22*i - 7*i. Calculate the greatest common divisor of i and 1099.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.983 - -0.017. Let l = -25.2 + g. Let o be (-14)\/(-35) + 68\/(-120). Which is the third biggest value? (a) o (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 944*z + 2168. Is 40 a factor of u(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 82*q - 78. Give h(-83).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25114079.\nAnswer: 67, 374837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*c - 12 = -45, c = -5. Suppose -t + 1 + 2 = -4*x, 3*x + 6 = 2*t. Suppose -3 = -4*y + t*u, -4*u = -z*y + 3 + 1. Which is smaller: -3\/4 or y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 921 = 561. What is the remainder when n is divided by 126?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*sqrt(405) + sqrt(405))**2.\nAnswer: 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (18 - -5) + -28 - 15.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*b - 36962 + 710174 - 63120 = -7655*b for b.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2734 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 66, 5\/2597 in ascending order.\nAnswer: 5\/2597, 0.5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 28, -5, -3, 42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/5, -17\/8 in ascending order.\nAnswer: -17\/8, 1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/(-40) + 10\/(-3) + (-16)\/24.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.93 - 0.317. Let j = 4.4 - 5. Let p = u + j. Round p to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-16))\/(g\/g**5*g) assuming g is positive.\nAnswer: g**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y. Let o(f) = 273*f**2 + 35*f - 5. Let x(h) = -60743*h**2 - 7784*h + 1112. Let m(w) = -1112*o(w) - 5*x(w). Determine t(m(z)).\nAnswer: 973*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -535*x**3 - 5*x - 5. Let n be b(-3). Suppose n = 14*d + 21*d. Is d a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 148667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -951 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (14 + 7 + 26 + -40)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 4 + (-16)\/8. Suppose q = -3*t - r + 2482, 2*r - 4 = -2. What are the prime factors of t?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335558557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/11*z**3 + 0 - 16\/11*z**2 - 28\/11*z = 0. What is z?\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 212 = 12. Suppose 5*t + 106 = 2*h, 0 = 4*t - 3*h + l - 18. Let f = 42 + t. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1531182?\nAnswer: 6124728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 12:54 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/110)\/(-9))\/(8451\/9390)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -16808329.\nAnswer: 6723331.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (651\/(-62))\/(7\/14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*o + 75*o + 9*o = 50*o + 5476 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68 take away 2.2?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 6801 = 1551. What is the remainder when y is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188700 and 37740?\nAnswer: 188700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*f = 2*d - 368*f - 2216, -3*f + 1111 = d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 71 - 24*a**2 - 74 - 72 + 292 + 27*a**2.\nAnswer: 3*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 559*p - 13998. Calculate k(26).\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -47. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 4, t: 2, m: 3, e: 4}. Give prob of sequence mze.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 - 8*o**2 - 2*o + 3. Let b(i) = 9*i**3 - 17*i**2 - 5*i + 6. Give -2*b(s) + 5*v(s).\nAnswer: 2*s**3 - 6*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (24*(-10)\/(-360))\/(2\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(3))\/sqrt(3) + (sqrt(98)*5)**2.\nAnswer: sqrt(2) + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14471, -28943, -43415?\n\"Answer: -14472*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -329*d - 5. Let w be ((-4)\/(-18)*-15)\/(2\/(-3)). Let j(k) = 164*k + 3. Let n(q) = w*j(q) + 3*u(q). Let s(a) = -2*a**2. Calculate s(n(f)).\nAnswer: -55778*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23998570 by -6845.\nAnswer: -3506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwii. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v - 768 = -3*v. What is the highest common divisor of v and 224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 63 = 4*n, 5*n - h = -33 + 105. Suppose -l - n = 2*l. What is the nearest to 2\/7 in l, -1\/2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 3.4421546?\nAnswer: 3.4421546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*b, -3*n + 3*b = -2*b - 41. Solve 3*x - 2*p + 25 - 6 = 0, 0 = -4*x - p - n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = -5*p - 172, -5*o = 5*p + 180. Let v = 69 + p. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 0 - 1209\/4*b**4 - 35*b**2 + 13\/6*b**3 + 21*b. Let i be m(29). What is i rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6) - (5 + -2 - 3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-2)*-1*18\/4. Solve c = -4*a + 11, 0 = -2*a + 3*a - c - k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8174825018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7225 - 7225.04. Which is the smallest value? (a) x (b) 0.2 (c) 1\/82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -748*3.\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (270*z**4 - 135*z**4 - 132*z**4 + 6*z**3)*(2*z - 6*z + z + (3 - 3 - 3*z)*(5 + 0 - 3)).\nAnswer: -27*z**5 - 54*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) -1\/315 (c) -1\/6 (d) 1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -990 + 3*z**3 + 990 + (-3*z - 1 + 1)*(19*z - 19*z - 8*z**2).\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -106*u - 16. Let h be x(-1). Suppose -5*t = 3*n - 176, -2*t + 5*n = -h + 32. Let k = 60 + 39. What is the remainder when k is divided by t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 597421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyprkr. What is prob of picking 1 r and 1 k?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45367\/(-42) + (-1)\/(-6). Let p be y\/42 + 2\/(-7). Let b be 6\/39 - 74\/p. Solve -8 = b*l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -h - 735, -3*m + 3*h + 677 = 119. Solve 182*r - 4 = m*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {r: 2, o: 1, n: 2, k: 1, d: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(-3 + -4 + -2*sqrt(245) + sqrt(245) + sqrt(245) - (-1 + (1 + sqrt(245))*4)))**2*-1.\nAnswer: 84000*sqrt(5) + 603000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Calculate the smallest common multiple of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 5*l + 6. Let w be f(-4). Suppose -3*o - 5 - 5 = 5*r, w*o = 2*r + 4. Suppose o*q = -5*q + 155. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 9*q**2 + 9*q + 9. Let a be z(-7). Let l = a + 283. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-114))\/(6 - (-68)\/(-12))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 39\/8584396?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - x + 65. Calculate the remainder when 6\/(-4)*(-152)\/6 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169719 + 202461 = 2304*k + 125652 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8890, -8930, -8968, -9004, -9038, -9070?\n\"Answer: h**2 - 43*h - 8848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1877249 at least as big as -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 313 - -61. Let i = s + -371. Solve -3*x - 2*c - 3 = -0, i*c - 3 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146922, 146923, 146924, 146925, 146926, 146927?\nAnswer: 146928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 0 + 4 + 3515. Suppose 0 = 12*a - 6*a - i. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100000000000 (base 2) to base 14\nAnswer: 3a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2021100 + -112012?\nAnswer: 1404033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26917.99941518 - -26918. What is d rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((265\/(-2))\/((-15)\/12))\/1. What is the closest to 3 in 2, y, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:22 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 571208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 193000*l\/11 - 19857782\/11.\nAnswer: -2*(l - 96397)*(l - 103)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/6 - 109*y**3\/3 + 215*y**2\/2 + 2*y\/3 - 430\/3 = 0. What is y?\nAnswer: -1, 2, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u - 31*u + 3776 = -286*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/16 + 44\/(-170368)*44\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105.52 + 0.2.\nAnswer: 105.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtq when three letters picked without replacement from ttqqtymqytyqe?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2377500*(80\/30)\/(-4). Round w to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3094116\/1009 or -3066?\nAnswer: -3066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*g + 4 = 0. Suppose -g*b - 10 = -5*x, 5*x + 2 = -3*b + 12. Solve l - 2*s + 2 = b, l + s = -3*s + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r + 6*r**2 + 5*r + r**3 + r**3 to v + q*r**2 + n*r + l*r**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3099637 is divided by 124.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -7*h**4\/6 + 5*h**3\/6 + h**2. Let k be (-255)\/(-10)*(-6)\/9. Is d(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.107 and 8.\nAnswer: 8.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 = -22. Suppose 6*x = -4*f + x + 97, 3*x + 65 = 2*f. Calculate the remainder when f is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*x - 32, 4*p = -4*x + 18 + 22 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3)\/63*14\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + 5*s**2 - 703 + 43*s + 703 to a*s + g + o*s**2 and give a.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -46, -88, -142?\n\"Answer: -6*q**2 - 12*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, -3, -2, 0, -5, -3542 in increasing order.\nAnswer: -3542, -5, -3, -2, 0, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*v + 22*v + 10*v)*(-6 - 3 + 1) - v - 128 + 2*v + 21.\nAnswer: -183*v - 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmt when three letters picked without replacement from {c: 2, t: 2, m: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1336 by 1.\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*p - 3859960 + 3865640 for p.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2369*r + 4759*r + 4210*r + 3160*r = 146400 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.048 and 203.27.\nAnswer: 9.75696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1830 divide 13745130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 30 (b) -1\/6 (c) 22 (d) 5 (e) 6\/151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4879723.\nAnswer: 1031, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, b: 3, w: 1, x: 7, a: 2}. Give prob of picking 1 w and 3 x.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b60 (base 15) to base 3.\nAnswer: 22011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5397.625 micrograms in tonnes?\nAnswer: 0.000000005397625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3797\/240 + -79\/5. Let z be ((-7)\/(-14))\/((-1)\/2). Is z greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -4\/3 (c) 1 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t - 43. Give y(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60711272 and 23864?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -i + 8*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -685, -1405, -2131, -2863, -3601, -4345?\n\"Answer: -3*q**2 - 711*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*l + 170. Suppose -11*r - 2*d = -6*r - l, d - 2 = 0. Calculate the lowest common multiple of 2\/2 + (-11)\/(-1) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79 and 3.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717157 is divided by 311?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 183 + 1177238?\nAnswer: 1177432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + 2 + sqrt(1088) + -3.\nAnswer: -1 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/1235 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmmmvbmvvmbmhymvy. Give prob of sequence mvb.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 divided by 7490.\nAnswer: -137\/7490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 7\/(-98) - (-3)\/(-6). What is the nearest to g in 1\/8, 6\/13, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 1:03 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 10516 - 2860 = 0. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 43*v + 3. Let g be i(6). Is 2\/8 - g\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433 is divided by 160?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1497 = 79*k - 91 + 174 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 161, 301, 425, 527, 601?\n\"Answer: -y**3 - 2*y**2 + 153*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6828956?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8832 - 2124. Let b = -40103\/6 + p. What is the common denominator of b and 33\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59715137 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.436 + 12.398. Which is the closest to y? (a) 1\/10 (b) 0 (c) 4\/7 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2426375698 to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.2. Let z be 82 + -89 + (0 - (-3)\/(-18))*-33. What is the smallest value in 4, o, 2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 16*z + 33. Let c be d(-2). Let o(q) = q**3 + 4*q**2 + 4*q + 2. Let g be o(-2). Factor -c*l**2 + 3 + 0 + 5*l - 5*l**3 + g.\nAnswer: -5*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26295974*h**2 + 23902*h + 11951. Let l(w) = -4401*w**2 - 4*w - 2. What is 11951*l(p) + 2*s(p)?\nAnswer: -4403*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 545 - 544. What is the nearest to z in 1, 3, -2\/9, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (432\/675)\/(8\/(-20))*(-15)\/(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4903, -40504, -137135, -325312, -635551, -1098368?\nAnswer: -1744279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686 (base 15) to base 3.\nAnswer: 2000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.04, -15\/7, -45, 1, 3, -0.2?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2 and 187\/1499040.\nAnswer: 1499040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = -t, 0 = -0*l + l - 2*t + 11. Let r = -1 + l. Is 16 a factor of r\/2 + -1 - -47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7056) + (sqrt(7056) - 1*sqrt(7056)*-1) + sqrt(7056))\/((6*sqrt(70)*-1 - sqrt(70))\/sqrt(10)).\nAnswer: -48*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3792 = -614. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2) + (-12)\/(-6). What is the tens digit of (2 + 0)*13\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/110746787?\nAnswer: -6\/110746787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 330, 2, -4\/9, 1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 13) in base 15?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1031 + 29*t - 1031)*(-t**2 + t**3 + t**2 + (-2*t - 2 + 2)*(0*t**2 + t**2 - 3*t**2) - t + t**3 + t) as q + s*t**2 + g*t**4 + r*t + i*t**3 and give g.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 8. Let d be (-2)\/(4\/9) + (-3)\/6. Let m be t(d). Suppose 25 = m*b + 2*b. Solve -27 = w - 5*v - b, 18 = w + 5*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 296523341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2. Let a be ((-4)\/(-10))\/((-1)\/5) - 2. Let j(p) = 5*p**2. What is a*j(n) - 7*o(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(2\/(-1))*(-196)\/112. Let j(i) = -i**3 + 14*i**2 + 2*i + 30. What are the prime factors of j(o)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10100010111111110000?\nAnswer: 10100010111111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pux when three letters picked without replacement from {d: 3, e: 5, x: 1, u: 5, p: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -26. Let q be 5\/(2\/(-2*l)). Let c = 166 + q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42\/(-15) + 3)\/((-36)\/(-15)). Let r(g) be the second derivative of t*g**4 - 2*g**2 - 3*g + 0*g**3 + 0. Determine r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-346)\/(-10) - 12\/(-30). Let t = j - 83. Are -48 and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/3 of a year in months?\nAnswer: 272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19494228*a - 11049 wrt a?\nAnswer: -19494228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4 + 116979*k**3 + 1520415054*k**2 + 6586437935940*k - 6587958467976 = 0. Calculate k.\nAnswer: -12998, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 539*r + 539*r + 38*r**3 + 69 - 25.\nAnswer: 38*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*h**2 - 494*h*y**2 + 5671*y**2 + 5 wrt h?\nAnswer: 60*h - 494*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27023.7 micrometers in nanometers?\nAnswer: 27023700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-168))\/(3\/(-9))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {e: 2, n: 4, k: 3, r: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 - 6*r - 6. Let d be (-2 - 1*(2 + 0))\/1. Calculate j(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 28. Let t be y(-7). Let w = t - -30. What is the nearest to 3 in w, 1, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -129*l - 190. Let h(d) = -654*d - 950. Let v(f) = -4*h(f) + 22*w(f). Find the first derivative of v(b) wrt b.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from ddjjjjxjxxxjjjjxx?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -546*q + 5*q**2 - 126*q - 2258 - 794*q - 2226 + 228*q wrt q.\nAnswer: 10*q - 1238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 422.55, 3.\nAnswer: -4, -0.1, 3, 422.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286760 is divided by 281?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.910121 rounded to 3 dps?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)\/((q\/q**(-3))\/q))\/(q**(-1\/4))**14 assuming q is positive.\nAnswer: q**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + n + 5 - 9 = 1, -2*n - 11 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -2.7. Let s be 2\/6 + (-2)\/(-6). What is the smallest value in 0.4, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14578.82 + 0.2\nAnswer: 14579.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from {u: 3, t: 3, f: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 455395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b. Solve -13 = 3*l - 5*y, 3*l + 3*y + 2*y - 37 = b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10446105*w**3 + 2242800*w**2 wrt w?\nAnswer: 62676630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3967277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**5\/20 + 5*h**4\/6 - h**3 - 23*h**2\/2 - 748*h. Determine c(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {q: 3, t: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 7:21 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035441 is divided by 14381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 138*r + 1. Let o(p) = -4*p. Calculate 3*o(d) + q(d).\nAnswer: 126*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.25, -3, -5, 0.34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 + 62. Let j be i(15). What is the third derivative of -1637 - 20*r**2 + j - 27*r**3 - r**5 wrt r?\nAnswer: -60*r**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (10 + -730)\/24\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4671314213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1416 + -395. Suppose -315 = -z + 2*p, 5*z - 570 = 2*p + w. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 273 and 49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 4 (c) -1 (d) 2\/3 (e) -2272 (f) 100\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c72 (base 14) to base 11.\nAnswer: -192a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -132, -771, -1, 3, -11 in ascending order.\nAnswer: -771, -132, -11, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344.8 take away -100.9?\nAnswer: -1243.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -23. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/137 (b) 0.4 (c) 5 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 - (-14 - (-24 + 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccvffcvcncvvfccvcl. What is prob of sequence cc?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.61882 rounded to one decimal place?\nAnswer: -315.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -43*o**2 + o + 3. Let y be b(-1). Let g = 44 + y. Suppose l - 3*d = -4*d + 25, 61 = g*l - 4*d. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*k + 16. Let s be k\/3 + 6*5\/(-10). Suppose -s*f = -0*f - 8215. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -368*b + 10764. Let w be y(14). What is the greatest common divisor of 460 and w?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w - 3. Let u(g) = -g**w - 11 - g + 5 + 2*g**2 - 2*g - 6*g**2. Suppose 5*t = -0*t - 20. Give u(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41511 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*c = -26, 4*c + 132 = 5*u - 74. Suppose 2*z + 6 = u. Suppose 2*t - z = 14. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5542847*b**3*c**3 + 31*b**3*c**2 - 2*b**3*c - 164*b**3 + 32*b**2 - 2*b*c**2 wrt c.\nAnswer: 33257082*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 16) in base 14?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405455840 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67690 and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.149739kg to tonnes.\nAnswer: 0.004149739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l + 36 = 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 17, 11, 5, -1, -7?\n\"Answer: -6*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {o: 4, y: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/831411 and 5\/5229.\nAnswer: 831411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxgxgdwwnwwxwfwf. Give prob of sequence xd.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59511*c - 59630*c = -2023 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y + 5*k - 35 = -16*y, -9*y + 5*k = 35 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011010011001 - 11110?\nAnswer: -1000011010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*k - 62 = 0, 0*a - 3*a + 102 = -3*k. Suppose d = 8*d - 1015. What is the greatest common divisor of d and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-56)*(-672)\/252?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:50 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 - i**2 - 2341*i - 2340. Determine q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20474 and 1517900?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13596\/(-1545)*200\/(-50160)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3267 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -547, -1243, -2219, -3475, -5011, -6827?\nAnswer: -8923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 2122?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/31 (b) 10\/7 (c) 0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*r + 5*h, -5*r - 2*h + 4*h - 7 = 0. Let n = 239\/360 + -11\/40. Let v = n + 5\/18. What is the nearest to 2\/3 in v, r, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 105 = 4*g. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -1.8. Let j be ((-1)\/(-15))\/(17\/(-680)*8). Let h = 2.002 + -0.002. What is the closest to j in -3, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720))**2*1*4.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27\/108 + 12655\/4?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3632 - -0.1368. Let h = -3.9 + -1.1. What is the nearest to 2 in h, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 - 2*w**2 - w + 5*w**4 - 2*w**2 - 2*w**4 to the form y*w**4 + i + q*w + s*w**2 + t*w**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120 = 845*t - 817*t for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/16 and (-99)\/(-8) - 16\/64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from dmpmcddpvp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 10. Let v be (-566)\/5 + x\/(-5). Let s = 79 + v. Calculate the common denominator of 77\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5084, 5267, 5586, 6041, 6632, 7359, 8222?\n\"Answer: 68*g**2 - 21*g + 5037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6234 + 6231 - 12465 - 7147*o to g + v*o and give v.\nAnswer: -7147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/5 + 8346*p**3\/5 - 511556*p**2\/5 + 7362816*p\/5 + 16838656\/5 = 0. Calculate p.\nAnswer: -2, 32, 4111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 39*r**2 - r + 181. Is q(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1519001196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1687, -5849, -11123, -16147, -19559, -19997?\n\"Answer: 227*k**3 - 1918*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, k: 2, c: 5}. Give prob of sequence cakk.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*p + 82*p + 48 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -7*v. Let k be 4\/3 - (-3)\/(-9). Let n = -6 + k. Put 2, v, n in ascending order.\nAnswer: n, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0*b**3 - 2*b**3 + 0 - 2 + 6*b + 3*b**3 + 9*b**2. Let u be n(-8). What is the highest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*b + 246*b + 140*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*c - 5, -5*c - t + 1 = -21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -h - 477, 6*d + 497 = 7*d + 3*h. Let q = d + -332. Suppose q = -4*x + 10*x. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + ((2*sqrt(78) + sqrt(78))*2 + sqrt(78) - sqrt(78)))\/(sqrt(6) + sqrt(24)\/(sqrt(20)\/sqrt(5))))**2.\nAnswer: 637\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*v - 3598, 5*i - 3*v + 2*v = 17954. Suppose 5*g - 760 = i. Calculate the greatest common divisor of 30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362877195 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 881951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 273 and -0.0618?\nAnswer: -16.8714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 169 = -537. Calculate the least common multiple of (z\/(-115))\/(2\/5) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-4) + 7\/14. Let r = x - -6. Suppose r*f + 2 = f. Solve f = 2*n - 4*a, 3*n = 3*a - 5*a - 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60990563.\nAnswer: 60990563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**30)**(-33\/2) assuming x is positive.\nAnswer: x**(-495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - w**3 - 58*w**2 - 2*w + 30*w**2 + 25*w**2 to the form x*w**2 + r + h*w + m*w**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -459708000 to the nearest 1000000.\nAnswer: -460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 23*h + 112. Let c be n(-5). What is the closest to -3\/8 in -1, 1\/3, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l**2. Let f be v(-2). Let y = 34 + -22. Calculate the greatest common divisor of f and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9924 + 116458. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -258 - -258.4. Let y = 8.2 - 51.2. Let b = -43 - y. What is the fourth biggest value in 1\/3, -2\/7, b, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8033010 is divided by 5271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12090743507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 5*j**2 + 6*j + 2. Let w be p(-6). Suppose -w*u = -0*u + 18. Let t(o) = o**3 + 8*o**2 - 13*o - 1. Is t(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/5)\/(j**29\/j*j*j)*j*j*j**(-1)*j*j*j**(4\/9)*j)**(-50) assuming j is positive.\nAnswer: j**(12040\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*a + 21, 0*a + 105 = 4*b + a. Let y = b - 25. Let z(c) = 2*c + y*c - c - 4*c. Let d(t) = 9*t**2. Determine d(z(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 2. Let h(r) = -11*r - 16. Let f(a) = h(a) + 5*y(a). What is f(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27211736.\nAnswer: 2, 3401467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1346 (base 9) to base 10.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 64. What is the greatest common divisor of s and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-175)\/(-21))*370\/1887?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*c + 154*c - 2 + 320*c + 353*c + 23*c to j + p*c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 509.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12391*n**3 + 3791*n**2 + 1 wrt n?\nAnswer: 74346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -15034.\nAnswer: -5\/15034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/30)\/(-8))\/(2\/(-12))*(-805)\/25599.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.121552 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {o: 1, f: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 121, 247, 393, 565?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4453*g - 4739*g + 206*g - 13599*g - 3*g + (4 - 2 - 4)*(-5*g + 0*g + 3*g) in the form y + a*g and give a.\nAnswer: -22584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 27.\nAnswer: 32\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-4))\/(702\/117)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11296208 and 8215424.\nAnswer: 90369664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1040, -55\/4, -0.4 in ascending order.\nAnswer: -55\/4, -0.4, 1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(-5)\/h)\/h))\/(h\/h**(-4\/7)) assuming h is positive.\nAnswer: h**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*o - 2013 = 5435. Calculate the greatest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1504 and 32?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 388067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1231, -2802, -4377, -5956, -7539?\n\"Answer: -2*u**2 - 1565*u + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11b7a94 (base 13) to base 9\nAnswer: -11356887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-4)*(-2 - -2). Let q(l) = 1 + n*l - 2*l - l + 6*l. Does 2 divide q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*p + 2200, 72*m - 2152 = 68*m - 4*p. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4 - 10*r**3 + 159*r**2 + 1260*r = 0. Calculate r.\nAnswer: -15, -7, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 6. Let r be 2\/16*(-304)\/(-190). Which is the nearest to 2? (a) 1\/4 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 525143 divided by 525143\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-6) + (-1)\/(-8)*(-192)\/144. Put 2\/7, 8, -5, 5\/8, t in increasing order.\nAnswer: -5, t, 2\/7, 5\/8, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 1948?\nAnswer: 74024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-2)*((-1544)\/36284)\/((-4)\/1222)\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.093473t to milligrams.\nAnswer: 4093473000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -1da5204?\nAnswer: -1da51ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5\/4*k**2 + 1605\/2*k - 515205\/4 = 0.\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-420)\/(-224))\/(3\/(-4)). Which is the closest to -1? (a) -3\/5 (b) -4 (c) 37 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*k + 3*k + 10 = 0, 0 = 2*p - 4*k - 18. What is the least common multiple of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -156*f**2 - f - 60.\nAnswer: -312*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0 (c) -594\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/17 + 250*m**3\/17 + 10332*m**2\/17 + 137592*m\/17 - 148176\/17.\nAnswer: 2*(m - 1)*(m + 42)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + b**2 + 4*b**2 - b - 4*b**2 + 1. Let q be (1\/(-2))\/(-2 - (-18)\/12). Let c(f) = -f - 1. Calculate q*c(o) + x(o).\nAnswer: o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -6*(sqrt(20) + sqrt(5)) + (sqrt(90)\/sqrt(3))\/sqrt(6))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*h**3 - 3*h**4 - h**4 + 62*h**3 + 17*h**2 - 31*h**3 - 1 wrt h.\nAnswer: -96*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37243 divided by 278.\nAnswer: -37243\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0*n**2 + 3 - 2*n**2 - 4 + 4*n**2. Determine d(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4514623855 to the nearest integer?\nAnswer: 67191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -36525\/10453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 27\/20*o**5 + 8*o**3 + 37\/2*o**4 + 0*o**2 - o - 42. Factor g(v).\nAnswer: 3*v*(v + 8)*(9*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606916552?\nAnswer: 2, 11, 67, 79, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.261816 decades in months?\nAnswer: 751.41792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - 2 - 1) + -4. Suppose 20 = -x*y - 5*a, -5 - 7 = y + 3*a. Suppose y = -5*n + 4*n - 4, 3*z + 3*n = -18. Sort 4, z, 5 in descending order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/13 - -127\/221. What is the nearest to -0.1 in 0.1, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*j**2 + 55 + 110*j**2 - 55.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 15. Let t be ((-20)\/1)\/(2\/14). Let u be (-16)\/t + h\/7. Which is the second biggest value? (a) 0 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38362, 76779, 115176, 153553, 191910, 230247, 268564?\n\"Answer: -10*k**2 + 38447*k - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10560000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x + 245. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/27 and 74\/52809435?\nAnswer: 52809435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6634034 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*n**2 + 63*n**2 - 174*n**2 + 50*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -466 - -463.14. Let t = -15.14 - -15. Let q = t + v. Are q and -1\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138776841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/24 and (-3)\/19*101\/(-1068)?\nAnswer: 40584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 b when three letters picked without replacement from bbburrubout.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7d0b4 + -1a?\nAnswer: 7d098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 52 - (33 - 9) - -28 - -8\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -15. Suppose -3*p + 0 - z = 0. Let u = 0.3931 - 0.4931. What is the second smallest value in u, p, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:44 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6163 is divided by 147?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*r + 0*r = -120, -366*h + 6097*r = -365*h + 6098*r + 32 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -244, -484, -720, -952, -1180?\n\"Answer: 2*q**2 - 246*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 - 52 = v. Calculate the remainder when v is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32089 - -32088.94. Which is the closest to -2\/13? (a) 5 (b) -5 (c) -2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2. Let o(w) = 2*w**2 - 6. Determine o(k(n)).\nAnswer: 32*n**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2426 - -502178\/207. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 276*n - 275*n + 552*n + 31)*(2*n - 3 + 3).\nAnswer: 2*n**2 + 62*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rutbrtrrnunnrnunnt. What is prob of picking 1 b and 1 n?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -486078798 divided by -6?\nAnswer: 81013133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*l - 6855212*a**3 - a**2*l - 4*a**2 + a*l + 24*a - 41*l + 345 wrt a?\nAnswer: 6*a*l - 41131272*a - 2*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 3*t**3 + 3*t**3 + (t - t - t)*(-4*t**2 + 4*t**2 - 2*t**3) + (-3*t**3 + 5*t**3 - 4*t**3)*(3*t - 2 + 2).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43, 181, 523, 1171, 2227, 3793, 5971?\n\"Answer: 17*u**3 + 19*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 745738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n - 4*l - 37, 0 = 3*l + 9. Let m = -0.318 - -0.418. What is the smallest value in n, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfsfvxs. What is prob of picking 2 f, 1 x, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.39 (b) -57 (c) -6 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.65179 millennia in years?\nAnswer: 88651.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6) - (3169\/246 + -13)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2 + 6 + -5. Let n = -18 + 20. Solve p = 3*h - 4*i - 9, -6*h - n*i = -3*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3344 (base 5) to base 14.\nAnswer: 25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -718\/913085 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82766 is divided by 774?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 818 + 365 = -2*f, 5*d = -2*f + 1945. What is the highest common divisor of d and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y**3 + 5*y + 4. Let z be q(-1). Let f be 23\/z - (-34)\/204. Let k be ((1 - f\/(-2)) + 2)\/(-1). Put 15, 4, k in descending order.\nAnswer: 15, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 + 13*k**2 - 6*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1166882, 1166688, 1166364, 1165910, 1165326, 1164612?\n\"Answer: -65*j**2 + j + 1166946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*r - 2*q, -2*r = -4*r - 2*q + 48. Suppose j - r = 22. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 709351*g - 708735*g + 52360 for g.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 7*m**2 - 10*m + 13. Let y be z(8). What are the prime factors of (-1386)\/(-7) - (y + (-1 - -3))?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i**2 - 6*i + 10. Let g(c) = 6*c**2 + 6*c - 9. Let q(s) = -6*g(s) - 5*r(s). Calculate q(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/140*3*(-1 + -2)\/(-15)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (819*b + 1187*b - 622*b + 3937*b + 2836*b)*(0*b**3 - 5*b**3 + 3*b**3).\nAnswer: -16314*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.178 + -7.498. Let h = 7.22 + i. Which is the third biggest value? (a) h (b) -1\/3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5*(sqrt(484)*2 - sqrt(484) - sqrt(484)) + sqrt(484))\/((sqrt(22) + 2*sqrt(22))\/sqrt(2)))**2.\nAnswer: 53\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(101790\/104))\/(-4*(-1)\/(-10))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82409054159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (232\/540)\/((-4)\/(-38)) + -4 and 55\/207?\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let z = 1 - -40. Let g(t) = -13*t + 3*t + 8*t - z*t. Calculate u(g(x)).\nAnswer: 86*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 2 = -q, 67*f = 72*f + 5 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 21 = 2*p, -3*p = -4*b + 94. Solve 33*w - b*w - 32 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11205359 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: Suppose -7*w - 600 = -12*w. Suppose w*z - 121*z = 0. Calculate the remainder when 16 is divided by (-8)\/4 - (z - 1)*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 21*p**2 - 73*p + 31. Let w be z(24). What is the tens digit of ((-4)\/8)\/(w\/2086)*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/43? (a) 3 (b) -5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2))**(-21)*(z\/z**(-14))**(7\/3))**(-3\/23) assuming z is positive.\nAnswer: z**(-168\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.5915cm in nanometers?\nAnswer: 4325915000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**5\/5 - 5*c**4\/4 - 118*c + 31. Find the first derivative of x(i) wrt i.\nAnswer: -4*i**3 - 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 e when four letters picked without replacement from {a: 2, e: 1, x: 4, p: 2, m: 3, q: 8}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44944 + 44943.99999906977. Round c to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61021290.\nAnswer: 2, 3, 5, 11, 184913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**5\/30 + 8*f**2. Let v(g) = -g. Calculate v(i(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2703, 2730, 2757?\n\"Answer: 27*k + 2676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68789\/(-930) - ((-24206)\/(-780) + -31).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11735 in 4, -0.4, -3, -0.15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_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: Sort -0.06, 248, 136, 20, 0 in ascending order.\nAnswer: -0.06, 0, 20, 136, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -289 and 3326999.\nAnswer: 3326710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7568072221 to the nearest integer?\nAnswer: 86995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.57 and 0.9409.\nAnswer: -2.418113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 10*w = 12*w - 1210. Calculate the least common multiple of 125 and w.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**6\/90 + b**5\/20 - b**4\/36 - b**3\/6 - b - 19. Let h(w) = 0. Calculate w.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -0.06, 0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r. Let s(w) = -5*w**2 - 18*w + 2. Let f(q) = s(q) + 6*u(q). What is f(10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p**3 + 0*p**6 + 0*p**4 + 3\/35*p**7 + 30*p**2 + 1\/4*p**5 + 0 + 0*p. Find the third derivative of x(y) wrt y.\nAnswer: 432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 + -219671?\nAnswer: -219638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/727?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o**3 - 24*o + 31. Calculate j(-3).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1913 + -526. What are the prime factors of g?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -0.14. Let v = 0.24 + -43.24. Let j = 41 + v. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+63924.8\nAnswer: 63926.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v - 15 = -31*v. Let c be (9\/(-6))\/(v\/(-10)). Solve 0 = -3*g + z - 5 + 1, -z + 8 = -c*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*f = 1747 + 130, 2*o + 760 = 3*f. Let s = -226 - o. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/50*(-76775)\/(-46065)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwlnnlbnnwnn. What is prob of picking 1 b and 3 w?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6 = -g + 21, -2*q = 8. Let o(j) = 6*j**2 + 29*j - 2. Let t be o(g). Solve -t*n + 3 - 15 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mymm when four letters picked without replacement from mbmymysbyy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1071 - 0.097. What is b rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 377419462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*g - 245*g + 503 + 557 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 979784 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -35*i**4\/12 + 2*i. Let f(u) = -98*u + 6. Let g(z) = -16*z + 1. Let k(w) = -f(w) + 6*g(w). Give k(n(v)).\nAnswer: -70*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 7*c**2 + 6*c - 5. Let a be o(6). Let l be (0 + 2\/(-3))*(-18)\/(-36). What is the biggest value in 0.1, 0, a, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 n when three letters picked without replacement from ggnonnggongognnnnno.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-396899)\/(-7) + 66\/(-77)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 3. Let i(u) = -58*u. Give i(z(p)).\nAnswer: -174*p + 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 65 + (113 - (177 + -98))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-2)\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73575 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1573, 1, -1\/4, 56, -5 in ascending order.\nAnswer: -5, -1\/4, 1, 56, 1573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209053.\nAnswer: 1209053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 541259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 116817775.24 and 0.77.\nAnswer: 116817776.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1062308 and -87\/22?\nAnswer: 11685388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 535 and 35?\nAnswer: 3745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -598, -4306, -14400, -34072, -66514, -114918, -182476?\nAnswer: -272380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b - 279. Let t be u(-47). Let c be (3\/4)\/(t\/12) + -1. Solve -5 = c*d - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 69\/5764 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*263\nAnswer: 78.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -337444164*u**3*v**3 + 6*u**3*v + 23*u**2*v**2 + 5*u**2 - 5177*u*v**2 + u wrt v.\nAnswer: -2024664984*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2057) + -1)**2 + -4).\nAnswer: -132*sqrt(17) + 12324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7349.66 - 6860. Let w = c + -495. Round w to 1 dp.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p + 2. Let z(g) = 37*g + 6. Give -17*q(b) + 6*z(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 705 and 90.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*r + 0*r = -7, 0 = -2*y - 5*r - 4. Let q = 7 - y. What is the remainder when 6 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3 - 1482*l**2 - 228660*l - 10439256 = 0. What is l?\nAnswer: -206, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*1)**2 + -4 + (-1*(sqrt(132) - sqrt(132)*-1))\/sqrt(12) + -3.\nAnswer: -2*sqrt(11) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 386 + -381 + -110 + 21?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 342*h - 868. Determine p(3).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110\/3 + 37. Let p = 9.05 + -8.95. What is the closest to 0 in p, -0.5, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111744 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397773.\nAnswer: 13, 19, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18176292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 - -146760008965?\nAnswer: 146760008964.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25823208211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166707 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4361*x = 97489 + 783 + 97973 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0*g. Suppose -2*x - 15 = -5*d + 4*d, g = -5*d + 4*x + 81. Suppose -28 = -5*l + d. What is the remainder when 25 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 180069.95\nAnswer: -36013.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, t: 4, s: 3, a: 7, e: 2}. What is prob of sequence atqs?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1991 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.42363 to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -4*z**2 - 1\/8*z**4 + 0 + 0*z + 0*z**3. Let f(j) = j. Determine f(q(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.5, -4 in decreasing order.\nAnswer: 0.5, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-855)\/(-1330)))\/((-1)\/2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 2.2. Let t be 5 + 3*(-1)\/1. Let l = 0.13 - 3.13. What is the nearest to m in -2, t, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 34*w - 97. Let c be m(-30). Let v(f) = 13516*f**2 - f + 59. Let n be v(c). Round n to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 3 = 0. Suppose k*r - 14350 = g, -3*r = -6*r - g + 14348. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**5\/30 - h**4\/12 - 2*h**3\/3 + 3*h**2 + 8*h. Calculate n(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 161 + 11. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3003 - -3034 - (2 + -3 + -8)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 19*q = 5*m + 9, 0 = -q - m + 3. Solve -v - 3*p + 8 = -q, 5*v = -3*p + 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 - 2300*n**2 + 42245*n - 154350 = 0. What is n?\nAnswer: 5, 14, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -38\/9, 36895?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2391.01 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -5*u**4\/2 + 7*u - 15. What is the derivative of f(i) wrt i?\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/389?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -130\nAnswer: -3\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8389\/6 + -1386. Calculate the common denominator of d and -59\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 5*j + 6. Let p be (-4 - 20\/(-8))*4. What is the units digit of c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -20 - (5 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 9*l - 5. Let t(v) = -5*v + 3. Let r(x) = -4*g(x) - 7*t(x). Let o(c) = -5*c**2 + 15*c - 25. Let h(d) = o(d) - 5*r(d). Suppose h(u) = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 + 137 = p - j, -15*p - 3*j + 72 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 98 = -9*m - 5*h, -2*m + h = -77. Calculate the remainder when m is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i*((i*((i\/(i**29*i))\/i)\/i)\/i)\/i*i))*((i**(-4\/17)\/i)\/i)\/i)\/(i**19*i**(1\/26)) assuming i is positive.\nAnswer: i**(-22663\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6*u = 36. Let x = 32 - u. Calculate the highest common divisor of 112 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r + 317 - 669 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/4 - 979465*o\/2 - 1958929\/4 = 0. Calculate o.\nAnswer: -1958929, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 25*o**3 - 6*o**2 - 4*o - 21. Let w(g) = 26*g**3 - 5*g**2 - 3*g - 22. Let p(u) = 5*t(u) - 6*w(u). Find the second derivative of p(y) wrt y.\nAnswer: -186*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -11, -2, -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 4*r**2 - 6*r - 24. Let p be w(-3). Suppose 590 = p*j + 5*g, -8*g = -2*j - 6*g + 404. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let a(k) = -431*k - 2. Determine u(a(n)).\nAnswer: 431*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2663*l - 113312 = -78226 + 132683 for l.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaajaeaaaevaajeaeal. What is prob of sequence laav?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 11, -296 in descending order.\nAnswer: 70, 11, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*(5 + -2*sqrt(153)*1 - (sqrt(153) + 2 + -5)*5))**2.\nAnswer: -13440*sqrt(17) + 126354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -4. Let o = 4 - -20. Does 9 divide (o - f)*(-1)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -r + 3, -22*q - 4667 + 4619 = -4*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 19*v - 262. Which is the closest to 4? (a) 1\/6 (b) -0.2 (c) 23 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -7107.\nAnswer: 28\/7107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 142a7 - 18?\nAnswer: 1428c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*t - 14, 2*t - 2 = -v - 6. Let l(w) = 5*w**3 + 25*w**2 - 5*w - 27. Let d be l(-5). Sort d, t, -4.\nAnswer: -4, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c - 13. Let g = 66 + -62. Let p be z(g). Determine t so that 0 + 1\/4*t - 4*t**4 + 6*t**p - 9\/4*t**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -1 - (-1 + sqrt(2)*1))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 38*h - 9570. Let y = h - -390. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Let q(z) = -5 - 3*z + 18 - 11. Let h be q(-2). Solve r*x - h*x = 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8*f**2 + 45*f**2 - 9*f**2.\nAnswer: 44*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044028991.\nAnswer: 73, 14301767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Let c = 3 - -2. Put d, c, -4 in decreasing order.\nAnswer: c, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmm when three letters picked without replacement from {m: 2, u: 2, q: 6, x: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 54 - 23*y**2 - 71.\nAnswer: -23*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88005 by 17601.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2916 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjq when three letters picked without replacement from {t: 3, r: 4, j: 1, q: 3, l: 2, z: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29965947 is divided by 2646?\nAnswer: 2643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-125040)\/1350 + 8\/36)*(-1000)\/12. Which is greater: 7702 or u?\nAnswer: 7702","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1860 = -5*r, 0*r - 2*m = 3*r - 1135. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w - 9 = 0. Let g be (1\/(-3))\/(1\/w). Factor -r**3 - 2*r**5 + g*r**5 + 0*r**5.\nAnswer: r**3*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 70.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 6*t - 216. What is the remainder when 42 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1064 - 25537\/24. Is -6\/11 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232545 times -1.82?\nAnswer: 2243231.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(1\/6))*l)**7*(l**(1\/5))**(3\/29) assuming l is positive.\nAnswer: l**(5093\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/23? (a) 3.739 (b) -16\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4439 divided by -2?\nAnswer: 4439\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c, -g + 21 = 3*c - 8*c. Let x(l) = -1 + 69*l - 4 - 2 - 70*l + 0. Give x(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20280 is divided by 147?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032128 to 6 dps.\nAnswer: 0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -397, 2, -2, 12.\nAnswer: -397, -2, 2, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpp when three letters picked without replacement from ubqiplp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 33*v + 219. Let t = 327 + -323. Let y(c) = 5*c**3 - 65*c + 439. Let u(a) = t*y(a) - 9*g(a). Differentiate u(f) wrt f.\nAnswer: 6*f**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9017.1579 rounded to the nearest integer?\nAnswer: -9017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(4*w**3 + w - w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 9646377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2014*y - 1947*y + 871 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 - 14*i**2 - 12*i = 0. Calculate i.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637 = 5*a - 4403. Let y = 2109 - a. What are the prime factors of y?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1962948 divided by -4?\nAnswer: 490737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**4 + x - 18*x**4 - 11 + 125*x**2 + 9 + 12*x**4 as b*x**3 + l + a*x**2 + g*x + w*x**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/552 and 58\/194415.\nAnswer: 35772360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a + 2980 + 19763. Let t = a + -424. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 2*o**2 - 5*o + 9. Let q(g) = -g**3 - g**2 + 3*g - 5. Suppose 3*j + 4*p = 5 - 14, -2*p = 0. What is j*x(w) - 5*q(w)?\nAnswer: 2*w**3 - w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 + 164. Let v be t*(-9)\/(-10)*(-380)\/114. Solve 0 = -0*m - 9*m + v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and (9\/3 - (4 + 8)\/(-4)) + 1071.\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*i, 0 = 5*i + 4 + 16. Suppose 0 = 3*d - k - 7, a*d + k = -4*k + 41. Solve d = -3*u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2984427676 - 2984427676 - 95*a.\nAnswer: -95*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2379303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2103621 + 3?\nAnswer: 2103624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63) + (sqrt(378) - (sqrt(378) + 2*sqrt(378)))\/sqrt(6))*3)\/(sqrt(99)\/(sqrt(33)\/sqrt(3)) + sqrt(36)\/sqrt(4)*4) + 4)*1 + 5.\nAnswer: -3*sqrt(7)\/5 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/7, 1, 2\/19, 1\/6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 23*c**2 - 348*c + 725. What is o(33)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12026 (base 7) in base 11?\nAnswer: 2375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6760.5268 - -6762. Let t = 1.5 - i. Round t to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from ivfybvofi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**3 + 0*f**2 + f**2 - f**2.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7313?\nAnswer: 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 4\/27, 3, 61?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/((-1)\/(-8)). Suppose 0 = c*l - 89 - 91. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69185 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52185391 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 6*n + 4*n + (-6 + 4 + 0)*(-6*n - 5 + 5).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1100111010011010 (base 2) to base 14\nAnswer: 153bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, 2, 17 in increasing order.\nAnswer: -4, 2, 12, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 57*z + 28 = 53*z, 3*b + 9 + 13 = -5*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/8)*x*((x\/(x*x**(-3))*x)\/x)\/x*x**(2\/5)\/x**(-2\/23) assuming x is positive.\nAnswer: x**(3553\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -1\/120*m**6 + 1\/12*m**5 - 5\/24*m**4 + 0*m + 0 + 5\/6*m**3 + 2*m**2. Suppose 5*y = -5, -2*k + 5*k = 2*y + 14. Calculate o(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 23*i**4 + i**3 + 4*i**2 + 15*i + 1. Let d(k) = 45*k**4 + 7*k**2 + 31*k + 3. Let p(m) = 4*d(m) - 7*w(m). What is the second derivative of p(n) wrt n?\nAnswer: 228*n**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k - 3. Let t be s(5). Suppose 5*q = 3*m + 129, 5*m - 1 - 9 = 0. What is the highest common divisor of q and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:51 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 15) in base 6?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-6)\/(-1642)) + 1. Let b be y\/21 + (-10)\/15. Let a = 40 + b. What is the third smallest value in a, 5, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**7\/3780 - 11*h**6\/1620 - 2*h**5\/45 + h**4\/3 + 19*h**3\/3 + 8*h**2. Let i(a) be the first derivative of r(a). Factor i(n).\nAnswer: -2*(n - 1)*(n + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(43*w - 7*w + 32*w) to the form o + l*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/9, -2\/5, -0.2, -36, -2, -244.42?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - c - 1000. What is the common denominator of 185\/c + 15\/40 and 77\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**12\/d)\/d)\/d**21*(d*d**(-1\/2))**26 assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -24*t**3 - 64*t**2 - 11*t + 16. Let n(g) = -12*g**3 - 32*g**2 - 6*g + 8. Let r(j) = 13*n(j) - 6*w(j). Factor r(f).\nAnswer: -4*(f + 1)*(f + 2)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Let m be (d + -1)*(-2)\/(-2). Suppose 0 = n - m*f + 13, 4 = 3*n - 6*n + 5*f. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205\/169 - 1942\/1183. Let j = -1.1 - 0. Put -0.4, -1, j, r in increasing order.\nAnswer: j, -1, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:02 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4))\/(6\/(-8)). Let i = -0.2 + 0.3. Let k(n) = n - 2. Let m be k(6). Which is the closest to 0? (a) w (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -19, -9, 5, 23, 45, 71?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/5 (b) 51 (c) 4 (d) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 11. Let g be v(-8). Suppose g*o + 24 = 6*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p - p)*(6*p**2 - 4*p**2 + 3*p**2).\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2490, -9973, -22460, -39963, -62494, -90065?\nAnswer: -122688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - 9 - -9 - (-227 + 1) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5246 + 3479 + 16973 - 1018 + 5635)*(4*r - 4*r + 5*r**4) as b*r**3 + c*r**2 + d*r**4 + k + q*r and give d.\nAnswer: 151575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**3\/3 - 4*x - 1. Let m be 11 + (-1 + 1)*(-6)\/6. Let r(c) = m*c**2 - 2*c**2 - c**2 - 5*c**2. What is w(r(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 208226.403 hours in weeks?\nAnswer: 1239.442875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1482 and 45\/2869.\nAnswer: 223782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 3\/112, 0.5, 7\/5, 2, 13?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/4128 and 49\/1032.\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**7\/350 - m**6\/75 + m**5\/75 + 11*m**2. Find f such that o(f) = 0.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1013 - 1012.91. What is the nearest to 5 in -17, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4657*i + 3*i**3 + 4657*i + 2*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-53)\/((-13992)\/(-144)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -8. Let i = y + 17. What are the prime factors of i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**6\/2 + z**5\/5 - 35*z**4\/4 - 2143*z**3 - 6466. What is the third derivative of i(p) wrt p?\nAnswer: 180*p**2 + 24*p - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Let l(u) = -9*u + 585. Let k(y) = -5*y + 291. Let x(h) = 7*k(h) - 4*l(h). Determine w(x(p)).\nAnswer: -2*p + 606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 7, 3\/8, -3 in decreasing order.\nAnswer: 7, 3\/8, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-24 - (24 + -21)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3\/2 - 13151259*k**2\/2 - 78907635*k\/2 - 118361493\/2 = 0. What is k?\nAnswer: -3, 4383759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - 474.\nAnswer: -473.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*j = -88 - 33, z = 5*j + 11. Calculate the least common multiple of 12 and z.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 - (-6 + -3 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 6:57 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at most -2099\/78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*y - 5*y. Let t = y - -4. Let j be t + -1 + 10\/20. Sort 0.4, j, -3 in increasing order.\nAnswer: -3, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 140 = 4*u - h, 70 = 2*u - h. Let k = -8 - -19. Let y(t) = -t + 23. What is the remainder when u is divided by y(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15911 by -1149.\nAnswer: -15911\/1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-18) + (-284)\/(-3). Calculate the greatest common divisor of n and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*z - 6 = -g, -2*z - 16 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**12*u**(-3\/4)*(u**7)**(-40) assuming u is positive.\nAnswer: u**(-1075\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 107 = -47. Let l = 41 + -14. Suppose 6 - l = -3*s. Calculate the greatest common factor of m and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 6, -6987, 3 in increasing order.\nAnswer: -6987, 3, 4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + (3 - 8) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from vmmwxtyy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsqqvvvvvissq. What is prob of sequence bi?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 + -50. Calculate the greatest common factor of 110 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(160\/68) + -1)\/(124\/(-620))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 3, -2\/3, 8.9, -1, 1.6, -1\/5?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*b**5*y**2 - 55*b**4*y**3 + 2389*b**2*y**3 - 4*b**2*y**2 + 2*y wrt b?\nAnswer: -1680*b**2*y**2 - 1320*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(77)\/(sqrt(88)\/(sqrt(24)\/sqrt(3))) + 1 - (4*2*sqrt(343) + -5))**2.\nAnswer: -660*sqrt(7) + 21207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:32 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31508712 divided by 10502904.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4\/5 - 8574*d**3\/5 + 6126123*d**2\/5 = 0.\nAnswer: 0, 1429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**6\/120 - j**5\/20 - j**4\/3 - 2*j**3 + 2*j**2 + 13*j. Let p be k(5). Which is the closest to p? (a) 2\/7 (b) -1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o. Let b = 4 - 0. Suppose -q = b*q - 5. What is the units digit of p(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**6\/120 - t**5\/15 + t**4\/6 + 131*t**2\/2 + 215*t. Let i(s) be the first derivative of w(s). Calculate i(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2067?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*k - 16*k + 109*k - 46*k - 43*k in the form r + q*k and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -53. Suppose 0 = -5*z - 3*d + 25, d - a - 5 = -5*z. Let k(t) be the first derivative of -t**4\/4 + 4*t**3\/3 + 5*t**2\/2 + 3*t + 1. Determine k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 276, 1544, 3666, 6642, 10472, 15156?\n\"Answer: 427*w**2 - 13*w - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 20388.\nAnswer: 101940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012075297 rounded to five dps?\nAnswer: 0.01208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010201 (base 3) to base 12.\nAnswer: -591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40021, 79833, 119647, 159463?\nAnswer: 199281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.01198 nanograms in tonnes?\nAnswer: 0.00000000000000601198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2878139 to three dps.\nAnswer: -4.288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 1219 = -295. Calculate the remainder when z is divided by 12\/78 + (-568)\/(-26).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-2)*5\/(30\/4). Suppose 0 = 4*i - 3*j + 5 - 8, -4*i = j - h. What is the second derivative of -s**2 - 169*s**i + 144*s**3 + 38*s + s**2 wrt s?\nAnswer: -150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, r: 1, u: 5}. Give prob of picking 3 u and 1 s.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and ((-54)\/(-45))\/((-2)\/(-95)).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2925 and 9293115?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517625223.\nAnswer: 3, 172541741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 233\/35 - 241\/420. Find the common denominator of 103\/54 and c.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 365, 530, 699, 872?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1268666?\nAnswer: 2, 7, 90619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/(16\/200*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 21 + 83)*(-7616 + 102*q + 7616 + q + 2 - 2 - 1 + 1 - q + (0 + 2 - 1)*(0 + q + 0) + 0*q + 3*q - 2*q + 4*q + 0*q - 2*q).\nAnswer: 17596*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:33 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**2. Let s(w) = 19*w + 215. Calculate s(t(x)).\nAnswer: -114*x**2 + 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 285277*b**3 + 12*b**2 - 2561594.\nAnswer: 855831*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 650\/(-750) - (-1 + 8\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 63*r + 803. Let n be l(46). Calculate the highest common divisor of n and 36330.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 2*p**2 - 5*p - 9. Let l(u) = u**3 + u**2 + 4*u + 10. Let r(f) = 2*l(f) + 3*z(f). Is r(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369511.\nAnswer: 223, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j + 0*j)*(-1 + 1 + 2*j) + 14*j**2 - 17*j**2 + 39*j**2 - 3*j**2 - 2*j**2 + 3*j**2 + (6 - 13 - 9)*(-j**2 - 3*j**2 + 5*j**2) - 4*j + 2*j**2 + 4*j.\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -582 + 502. Is 1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(132) - (sqrt(132) + sqrt(132)*-3))*-4)\/(sqrt(972) - -6*-1*sqrt(972)).\nAnswer: 16*sqrt(11)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31085*u**3 + 229091*u**2?\nAnswer: -186510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) -83 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176341692773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1894844414 + -2448\nAnswer: 1894841966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -157\/4. Let d = 1628.7 + -1524. Let z = d - 105. What is the biggest value in -5, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-84) - (5 - 8 - 138\/(-42))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.038 (b) 0.11 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -6, 1335, -5, -3\/7?\nAnswer: 1335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 + 49.6. Let y = -4 - v. Let l = 3.861 + -7.861. What is the nearest to 2\/3 in y, 0.3, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5 + 98*h**4 + 1014*h**3 - 3650*h**2 + 3856*h - 1320 = 0.\nAnswer: -30, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3\/12*2. Let s = -3 + w. What is the units digit of 2\/2*s - -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9103 is divided by 194.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1822, 3710, 5606, 7516, 9446, 11402, 13390?\n\"Answer: w**3 - 2*w**2 + 1887*w - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b + -17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5 - 373*w**4 + 735*w**3 + 2617*w**2 - 7432*w + 4452 = 0.\nAnswer: -3, 1, 2, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -576148 - 77674131\nAnswer: -78250279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3527 - 5929. Let s = o + 2402.0002826. What is s rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -185517757.301 - -185607492. Let h = i - 89220. Let c = -514 + h. What is c rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 792*h**2 + 3165*h\/2 - 3 = 0. What is h?\nAnswer: -2, 1\/528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {u: 2, y: 7, a: 4, e: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493 + 22*k**3 - 26*k**3 - 493.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*l**2*m**2*z**2 + 237*l**2*m**2*z - 784*l**2*m**2 + 664*l**2*z**2 wrt z.\nAnswer: 18*l**2*m**2 + 1328*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2588, 5265, 7960, 10673, 13404, 16153, 18920?\n\"Answer: 9*w**2 + 2650*w - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168182543?\nAnswer: 2879, 58417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -1, 194 in decreasing order.\nAnswer: 194, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5 + 48*i**4 - 232*i**3 - 724*i**2 + 234*i + 676 = 0.\nAnswer: -2, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let q(l) be the third derivative of -l**4\/6 - l**3\/6 - 5*l**2. Let x(m) = -m - 1. Let s(c) = w*q(c) + x(c). Let p(o) = -2*o**2. Give s(p(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = q + 6, 4*h - 3*q = -6*q + 21. Let x = h + -3. Let j(o) = -o + 8. What are the prime factors of j(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -n + u - 6, 0 = 5*n - 3*u + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 85.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93032664 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925202?\nAnswer: 2, 7, 19, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8418 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*i + 255 = 0, -5*m + 0*i = -i - 261. Calculate the highest common divisor of m and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56758143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 9}. Give prob of sequence nn.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 0*g**3 - 5*g - 6*g**2 + 3 + 2*g**3 - 3*g**3. Let p be a(-6). Suppose -p - 69 = -2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5 = -2*m. Suppose -5*o + 13 = 2*s - 46, -4*s + 110 = 2*o. Solve s = v + m*n, -3 = -4*v + n - 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1892 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 323*m - 13. Is 18 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3686061 - -7236032. Let s = g - -16150029. What is s rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7925059 weeks?\nAnswer: 479307.56832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 3*c**2 - 5 + c**2 + 0 + 0 + (-2 - 1 + 2)*(0*c**2 + 0*c**2 - 2*c**2) - 2*c + 2*c + c**2 + 2*c**2 - c**2 + 0*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -157.3 and 5598?\nAnswer: -880565.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*l**4 - 28\/3*l**2 - 6*l**3 + 128\/3 + 24*l = 0. What is l?\nAnswer: -16, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 2670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -6\/7 (c) 919 (d) 5 (e) -0.2 (f) -474 (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - 8 - 2 - -10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*581\/(-166).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127823 and 6012934?\nAnswer: 438944182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02112 and 46371.\nAnswer: -979.35552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 291454.723369297 + -291551.12337. Let q = o - -96.4. Round q to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*n*r - 13*c**3*r + 5*c**2*n*r + 12*c*r + 2*c - 8*n*r + 2*n wrt c.\nAnswer: -12*c*n*r - 78*c*r + 10*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4420657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -3) + (4 - (9 + 14)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1619124*o. Let p(u) = -u**2. Calculate l(p(t)).\nAnswer: -1619124*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.08 - 1.02. Round a to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*x + 180 = -259*x - 306 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 4*d - 1. Suppose -r = -4*w + 15, 5*r = -0*w - 3*w + 17. Let i be a(w). Calculate the highest common divisor of 60 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 1, a: 1, w: 1, l: 2, q: 8}. Give prob of sequence qwtl.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36d14 + -12?\nAnswer: -36d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-204)*15\/(810\/(-24)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 21. Let g(a) = -2*a**2 - 4 - 6*a**2 + j. Let u(l) = -2*l**2. Let m(c) = 6*c**2. Let k(f) = 3*m(f) + 10*u(f). What is g(k(o))?\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1453, -3047, -4641?\nAnswer: -6235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -0.3, 0.1, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 16*t + 43. Let x be d(-18). Suppose x*r - 13929 = -3856. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l. Suppose -184*d + 185*d + 14730 = l. What is d rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23143903 or 46287803\/2?\nAnswer: 23143903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 371 - 182. What is the highest common divisor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 + 7*r**2 + 7*r + 28. Let t(c) = c**3 - 2*c**2 - 2*c - 9. Give -7*t(f) - 2*w(f).\nAnswer: f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5 + 1 + 3*a**3 - 2*a**3 - 2*a**3 - 2*a. Let m be d(0). Suppose w = -m*w + 7343. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 919 - 422. Calculate the remainder when m is divided by 54.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3420\/75*(-80)\/(-6). Suppose -686 + 81 = -4*c + 3*b, 4*b + a = 4*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.874923l to millilitres.\nAnswer: 6874.923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 285300 divided by -36\nAnswer: -7925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/2)\/((-3)\/(-6)). Suppose -f*t + 70 = -5. What is the highest common factor of 105 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -1)*(-10*1 - (39 + -51)). Solve 2*s + 3*s + m = -26, 23 = -r*s - 3*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 5, 2, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 223*j**2 - 3763*j - 319. Determine a(17).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 4. Let n be m(-3). Let k(b) be the first derivative of 10*b**2 + b + 1. What is the units digit of k(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -0.88, -4 in descending order.\nAnswer: 115, -0.88, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Suppose -j = h + h + 21, h + 23 = 2*j. Let i(n) = -5*n**2 - 60. Let q(m) = 11*m**2 + 122. Let a(r) = h*i(r) - 6*q(r). Calculate a(w(p)).\nAnswer: -4*p**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11500874 + -19.\nAnswer: 11500855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 0 - 1\/2*j**2 - 14*j + 7\/12*j**4 - 1\/6*j**3. Let v be k(1). Solve -v*f = -0*u - u + 5, 4*u = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 11383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -672, -1345, -2018, -2691?\n\"Answer: -673*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 y when four letters picked without replacement from {y: 4, z: 14}?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.689 rounded to two dps?\nAnswer: 1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 345954 and 164740.\nAnswer: 3459540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 897054 times -263?\nAnswer: -235925202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 17 + 35. Let d(x) = 18*x**2 - 4*x - 4. Let c(v) = -v**2 + 1. Let q(u) = p*c(u) + d(u). Factor q(i).\nAnswer: 2*i*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -455 + 459. Find the third derivative of -16*h + 67*h**3 + 4*h**2 - 138*h**3 + 71*h**3 + 148*h**u wrt h.\nAnswer: 3552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 848*f + 5931. Calculate w(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(704) + sqrt(704) + (sqrt(704)*-3 + sqrt(704) + 4 - sqrt(704)) + sqrt(704))**2 - -2*(sqrt(704) + -1)**2*2)*-6.\nAnswer: -16992 + 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + sqrt(72)*1*5 + -2 + -4.\nAnswer: 3 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let q(k) be the first derivative of -7*k**6\/360 + k**3\/3 + 3. Let z(a) be the third derivative of q(a). Give y(z(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*a - 36, 5*a = -1 - 9. Let r = -7 - l. Suppose 0 = -5*o - 5, r*x + o - 211 = -4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9322286 and 1158?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*l - 9*l**3 - 3*l**2 + 13*l**3 - 23*l**3 + 4*l**2 wrt l?\nAnswer: -114*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244291568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*b + 100*b = 3484 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*f - f. Suppose q + 15 = 5*v - 4*v, 30 = -2*q - v. Let r = 45 + q. What is the highest common factor of r and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 8 - 70*r**3 + 3.\nAnswer: -70*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -24. Which is the second biggest value? (a) 0.4 (b) 2\/11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.4, -3, 0.2, 5, -8, 71.6, -183?\nAnswer: 71.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 12:21 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-8)*-6 + -3. Suppose 3*s + 9 - g = 0. Which is smaller: s or 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2758 + 6303. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 1, u: 2, t: 1, l: 1, v: 2}. What is prob of picking 1 s and 1 u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Suppose 15 = 2*h + k - 87, k = j*h - 192. Let r = 49 - h. What is the second biggest value in 30, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 129*y - 129*y - 9*y**2 with respect to y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*k. Suppose 12*g - 11*g + 36 = k. What are the prime factors of 21*(-8)\/g*42?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 1. Let u(n) = -2*n**2 + 10*n + 4. What is -3*h(s) - u(s)?\nAnswer: -s**2 - 10*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -503*u**3 + 2193?\nAnswer: -1509*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 523.\nAnswer: -24\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41 + 11*h**3 - 41 + 2*h wrt h?\nAnswer: 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -2*l**5\/5 + 4081*l**4\/4 - 1913*l**3\/3 - 2*l + 3174. What is the third derivative of c(p) wrt p?\nAnswer: -48*p + 24486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*3*(-5 + 4). Let q(g) = g**3 - 28*g**2 + 28*g - 3. Calculate the remainder when 237 is divided by q(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, b: 12}. Give prob of sequence ii.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2603 and 129739?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 3, p: 3, r: 5}. What is prob of sequence rp?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5884, -5692, -5344, -4840?\n\"Answer: 78*v**2 - 42*v - 5920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q**3*q)*q\/(((q**(-2\/23)*q)\/q*q*q)\/q)*q*q*q**(-2)*q\/(q\/(q\/(q\/q**4))) assuming q is positive.\nAnswer: q**(48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -18?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.33 and 19\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/6)*u*u*u*u*u**(1\/11) assuming u is positive.\nAnswer: u**(325\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 490*f + 4489. Let v be ((-18)\/(-15))\/(6\/135). Suppose -29 - v = -2*o. Calculate the remainder when l(-9) is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-6)*1)\/((-3)\/(-9)). Let j = -2 + 15. Solve 2*m + t = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Suppose x + 2 = 3*p. Let g(m) = 2*m + p*m - 6*m. Let a(d) = -3*d. Give g(a(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 4, j: 2, f: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-736 - -805 - (-2 - -4 - (-4 + 8)))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, 5\/2, 2\/9, -1\/2, 789?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 59 + 41 = 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -14*a - 76. What is w(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 431407 - 183416. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 101*i - 406*i + 3 - 982*i in the form l + n*i and give n.\nAnswer: -1489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + 5 + (3 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldkllllzlllplbllplp. Give prob of picking 1 b and 1 k.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -114*r - 347. Give s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209, 1488, 415 in decreasing order.\nAnswer: 1488, 415, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 5*q**2 + 1. Suppose 2*r = -10, -3*d + 7*d - 2*r = 62. Calculate the remainder when y(-4) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 798 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11711467 (base 8) to base 12\nAnswer: -a50b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, -1.\nAnswer: -1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -585*s + 145 + 341. Sort 7, -4, -15, s, 3.\nAnswer: -15, -4, s, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from skssssksksss.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10393160.\nAnswer: 2, 5, 259829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34359116?\nAnswer: 2, 11, 780889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 307, 445, 565, 661, 727?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 510501113.3046.\nAnswer: 510501124.3046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23187, -92747, -208681, -370989?\nAnswer: -579671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18549228*p*s**2 - 13242550*p - s**2 wrt s.\nAnswer: -37098456*p*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 128333687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 60, -4\/7, -0.5, -15, -3\/8 in decreasing order.\nAnswer: 60, -3\/8, -0.5, -4\/7, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/2 - 0) + 0. Suppose 0 = -u + f - 2. Suppose -u*q + 3*q = 8. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -130*j. Let w(f) = -f**3 - 6*f**2 + 18*f + 18. Let b be w(-8). Let g(h) = 45372 - 45372 + b*h. Determine r(g(s)).\nAnswer: -260*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 146805909 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835347051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 + 5*t - 14. Let h be 3 + 4*(-4 + 6). Let m(d) be the second derivative of d**4\/6 - d**3\/3 + 5*d**2\/2 - d. Calculate h*m(b) + 4*q(b).\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(5\/((-1435)\/2)). Let n be 2\/6 - 7645\/(-15). Let o = n + z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + b - 12 = -0*i, -3*b = -i - 12. What is the units digit of (-100)\/(44\/i - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + n - 355 = 0, -2*q - 4*n + 902 - 202 = 0. Suppose -4*r + 0*x + q = 5*x, r = 3*x + 107. Suppose 3*b - r = 121. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*k + k. Is 404\/16 - k\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i - 8*i)*(271 - 108 + 803 + 932).\nAnswer: -13286*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57741035 and 1605?\nAnswer: 57739430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/22)\/(((-120)\/(-175))\/((-9)\/63))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 90. Let t be x(-45). Solve 31*j - 23*j - 16 = t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 938 + -678. What is the highest common divisor of 200 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(3*sqrt(27)) - (-4 + sqrt(66)\/(sqrt(6) + (-2*sqrt(6) - sqrt(6)))).\nAnswer: 11*sqrt(11)\/18 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6856 - 86481?\nAnswer: -79625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 a when four letters picked without replacement from aahaah?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 3*f + 2*f)*(-2680 + 4542 - 2340)*(-f - 3*f + 2*f + (4 + 1 - 3)*(0*f + 4*f - 2*f)) to x*f**2 + h*f + u and give x.\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t*(t**(-1)*t)\/t))\/t*t\/(t*(t\/(t*(t**14\/t)\/t*t))\/t)*t)**(5\/4)\/((t**(2\/7))**(3\/2)*((t*t**(-5\/3))\/t*t*t)\/t*t**(-6)) assuming t is positive.\nAnswer: t**(551\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(3 - 2\/(-2)). Suppose -6*t + 5*t = -1. Let c be j\/(-4)*t\/10. What is the third biggest value in -3, -0.5, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 825.2 + -824.2. What is the smallest value in 4\/5, -704, z, -1?\nAnswer: -704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*g*v + 225*b*v - 2*g**4*v + 2*g**2*v wrt g?\nAnswer: 2*b*v - 8*g**3*v + 4*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*j**4 + 6*j**4 + 15*j**4 + (3*j + 4*j - 12*j)*(2*j**3 - 6*j**3 + 3*j**3) + 2*j - 2*j - j**4 to z + b*j**4 + g*j**2 + r*j + o*j**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35502)\/36 + 25\/(-30). Let q = x + 1659. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496331497 to the power of 1\/2, to the nearest integer?\nAnswer: 22278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1264\/21945 + -2\/665. Let g be 2 - ((17 - 5) + -11). Are b and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3. Let a = -18 - -21. Let b(y) = -y - 4. Let z(s) = a*b(s) + 4*o(s). Let j(p) = -4*p. Give z(j(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 4*h + 13, -14 = -30386*w + 30388*w + 2*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 900744?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 4*m**2 - 2*m**2 + (-50 + 50 - 724*m + 212*m)*(-8 + 4*m + 8).\nAnswer: -2047*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20 - (-10242)\/486) + 6\/(-81). Which is smaller: 263.6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**4\/12 + 6*b**3 - 291*b**2\/2 + 196*b. Is k(17) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38000 divided by -950.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 bigger than 10903\/212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 50 and -156621.5?\nAnswer: 156671.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1359 - 993. Calculate the remainder when a is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 4*y + 9. Is t(5) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.3694 - -0.0306. Let z = 19.4 - r. What is the nearest to 0.1 in z, 2\/13, -1.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -455*t**2 - 56. Let a(y) = 24*y**2 + 3. Let v(p) = -56*a(p) - 3*c(p). Let r(k) = k. Give v(r(x)).\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p - 7*p - 18*p + 11*p. Let i(j) = 15*j**2. Determine k(i(f)).\nAnswer: -315*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*j - 53*j + 4*u, -5*j = 21*u + 125 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 13*v**2 + 50*v + 5. Determine c(-8).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4457 + -16967\/4. Let y = q + -215. Which is the closest to y? (a) 0.3 (b) -35 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 193 = 4*c + 2*n, -3*n = c - 52. Suppose -6*o + 22 = -3*o + 5*d, 5*o - 4*d - c = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56.5 + -54.5. What is the third smallest value in -1.3, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 995 is divided by 512?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 1.525.\nAnswer: 27.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 569 = -4631. What is the highest common divisor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -6. Put n, 1, -1 in increasing order.\nAnswer: n, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34701 + -34693. Suppose -4*x + 15 = u - 0*u, 24 = 5*x - 4*u. What is the third smallest value in x, 0.5, n, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27183 and 1578008.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -2*(-9)\/3. Suppose p*b - 58 = -3. Is 2\/b - 6917\/(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36932 and 166194?\nAnswer: 332388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 6*y - 43 = 30*l + 4*y, 3*l + 6*y = -0*l + 111 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -272869*w**2. Let c(q) = -14*q - 44. Calculate c(n(x)).\nAnswer: 3820166*x**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 14 - 11 - 4 - 2688*l)*(-2 - 3 + 6) in the form i + o*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/182*2100\/200\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673971 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 1. Calculate s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*14\/((-140)\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = z - 45. Let x = z - 103. Let v be -4*(-2)\/x*-15. Solve -3*f + v = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 4 - 4) + 26\/(-130)*-20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 6*z - 4*z**2)*(4*z - 2*z**3 - 4*z) + 240*z**5 - 122*z**5 - 117*z**5 + 91*z**3.\nAnswer: 9*z**5 + 91*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-60) - (-29 + 281)\/28\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqkqkqqkqqkqqqqq. What is prob of sequence qkk?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 4*d**2 - d + 4. Let s = -6 + 2. Let c be t(s). Let k be (-2)\/(-1 - 0) + -2 + 4. Solve -k*n = -0*n + 3*y + 1, 0 = 3*n - 5*y + c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 3*f + 2*f)*(-18*f + 83*f - 39*f + (7*f + 11*f - 2*f)*(-1 - 3 + 0)) to the form m + t*f + n*f**2 and give n.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 = -11. Sort -4, 3, j in decreasing order.\nAnswer: 3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1684 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -9 + 1 + (-107 - -120) - (-17 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 69. Let m be l(0). Let s = 20433 - 20341. Calculate the greatest common divisor of s and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2 and (1\/(-993)*-15)\/((-3)\/(-24)).\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 8}. Give prob of sequence ojo.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63738 divided by 4.\nAnswer: -31869\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1020 - 6*k**2 - 80*k**3 + 1020 - 2*k to v + o*k + l*k**3 + a*k**2 and give l.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 84. Let y be h(21). Suppose y = -38*g - 282 + 4196. Calculate the remainder when g is divided by 2\/(-3) + 56\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 29*h - 30590. What is n(190)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37416 + -4?\nAnswer: 37412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 9*y + 14. Let v = -22 - -12. Let p be s(v). What is the third smallest value in 5, 1, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15876 + 15902. Let l(v) = 2*v**2 - 53*v + 36. Determine l(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17622, 35218, 52814, 70410?\nAnswer: 88006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-370)\/(-7))\/((-2478)\/196 + 13) is divided by 82*2*2\/8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 0.3 (c) 3\/17 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 2:02 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006777 rounded to 4 dps?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*h = -1, t - 5 = -3*h - 17. Let s(u) be the second derivative of -u**3\/6 - u**2\/2 + 5*u. Let q be s(t). Sort -3, 0, q.\nAnswer: q, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -43. Suppose h - 19 = 2*y, -5*h - 3*y - 462 = -466. Suppose -a = h, -2*n = -n - 3*a - w. Solve 5*j + n*q = 0, -2*q + q + 14 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171834 = -75*o + 62*o. What are the prime factors of o?\nAnswer: 2, 3, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 5:44 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 12:24 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15084383, 15084388, 15084397, 15084410?\nAnswer: 15084427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 875.87 and -219.3.\nAnswer: 656.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/5))\/n*n*n**(1\/3)*n*(n*n**(-1)*n*n)**(3\/17))\/((n**(2\/3)*n*n**(-4\/7))\/(n**(1\/3))**(-32)) assuming n is positive.\nAnswer: n**(-5162\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - 14*s. Let y(a) = 5*a**3 + 28*a. What is 7*w(v) + 3*y(v)?\nAnswer: v**3 - 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cojjjjoccob. What is prob of sequence ccco?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 40 + 7*f**2 - 35 - f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6014604143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 35265*h - 176986. Calculate d(5).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569559013.\nAnswer: 61, 9337033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 16*k**2 + 3*k - 3. Calculate the remainder when r(3) is divided by (18\/(-12) + 2 - -2)\/(5\/84).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l. Let n(s) be the second derivative of s**3\/6 - 45*s. Calculate 6*n(w) + 2*q(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 8*h + 5. Let d be y(-7). What is the tens digit of 14 + d + 2 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04480768 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 25 - 64. Let a(x) = 13*x**2 + 5*x. Let k(w) = 12*w**2 + 4*w. Let q(o) = c*k(o) + 2*a(o). Let l(b) = b. What is q(l(y))?\nAnswer: -10*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6) + (-2)\/4. Let a = 5\/2 + d. Determine b, given that 2\/3 - 4\/3*b - a*b**4 + 0*b**2 + 4\/3*b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-176)\/(-10) + (-1296)\/72)\/((-12)\/5). Let y = 3.5 + -0.5. Which is the closest to 0? (a) i (b) 0.16 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-4 - -2) + 33. Suppose -8*b + 3002 = l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(95) + 2*sqrt(95)) + sqrt(95))\/(sqrt(45)*2) - (sqrt(133)*-2*2)\/(2*sqrt(28)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 20*b - 117. Does 10 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43076293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, -1, 34325 in increasing order.\nAnswer: -16, -1, 0, 34325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:44 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1382?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l - 108. Let r = l + 64. Calculate the remainder when r is divided by 12871\/854 - (-2)\/(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((2\/(-1356))\/(31\/(-1953)))*7\/(-2)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 3*w**2 + 2. Let l be n(3). Factor 12 - 12*h - 2*h**2 + 5*h**l + 0*h**2.\nAnswer: 3*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (32\/8 - 10) + 1*72. Suppose y*t - 60*t = 293142. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 - 5*m - 7. Let v(u) = -u**3 + 4*u**2 - 2*u + 3. Let i be v(3). Let s be y(i). What are the prime factors of (12\/10)\/(s*1\/(-150))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**5 + 13*b**4 - 119*b**3 - 4990*b**2 + 2*b wrt b.\nAnswer: -180*b**2 + 312*b - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*-2 + (-3)\/(-3). Let t = 17 + i. Solve -g = -2*g - 2*j - 5, -t*g = -2*j + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4478?\nAnswer: 2, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2285 - 2456 = 37*o - 2354 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((-2)\/(-144)*-6)\/(30\/(-4317))?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8e (base 16) to base 5.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*u = -5, 0*l = -4*l + u + 64. Suppose -4*c + l = c. What is the tens digit of 19 + c + (-2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spp when three letters picked without replacement from psxvpbggxxgb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p - 11. Let k be n(-9). Suppose -t = -3*t + k. Let d(c) = -2*c + 76. Let w be d(5). Calculate the greatest common divisor of w and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*o**3 + 1834*o - 1119*o - 715*o.\nAnswer: -106*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 177577 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1250 + 12044?\nAnswer: 13334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1632 - 3?\nAnswer: -1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 d when three letters picked without replacement from dddvdtddvd.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from rovroorvorooororvovo?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 7*t - 16. Solve h - 1 = 0, 4*a + t*h - 4 = 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -36*h**2 + h. Let b(i) = 1725*i. Determine j(b(f)).\nAnswer: -107122500*f**2 + 1725*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - -5 - (-10 + 17 + 6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(1 + 25\/10)*(16848\/(-252))\/(-12)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 3 = -3*k, -2 = -2*k + 969*f - 974*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 3*c + 3*c)*(-12*c + 201*c**3 + 206*c**3 - 398*c**3).\nAnswer: 18*c**5 - 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3738154000 rounded to the nearest one million?\nAnswer: -3738000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -627*t**3 - t**2 - t. Let g be z(-1). Suppose 4145 = 2*k + 2*w - g, -3*w = 0. Let b = 376 - k. Round b to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*p + 5*v - 138, 4*p = -5*v - 98. Which is the closest to 1\/4? (a) p (b) -1.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10\/13 (b) -1 (c) 6\/5 (d) -5\/6 (e) -1\/7 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 4:09 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -108*w**2 - 508*w - 284. Determine m(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*v**4 + 252402*v**2 - 15511694*v wrt v?\nAnswer: -72*v**2 + 504804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g**3 - 1)*(-2 + 0 + 1) + (-3*g**2 + 3*g**2 + 3*g**2)*(4*g + g - 6*g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m - 2. Let v = -84 + 84. Let q be ((9\/6)\/3 - v)*-10. Let p(r) = -3*r - 2. What is q*p(k) + 4*u(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 8}. What is prob of picking 1 u and 1 e?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 0*s + 5 - 3\/2*s**2. Let m(t) be the second derivative of t**4\/6 - 5*t. What is m(y(c))?\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzz when three letters picked without replacement from ddzddddzddd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 6 + 1 + -3 + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311300 + 2?\nAnswer: 1311302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:27 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/4 - 211*p**4\/4 - 5185*p**3\/2 + 39953*p**2\/2 - 176253*p\/4 + 106929\/4 = 0 for p.\nAnswer: -109, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21313*m*q*t**3 + 40*m*q - 82765*m*t**3 - 2*m + 6*q*t**3 + t**3 + 2*t**2 - t wrt q?\nAnswer: -21313*m*t**3 + 40*m + 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2 + 10*y - 132 = 0.\nAnswer: -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*j + 75 = 0, 2*j - 9 = 1. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10361 and 4720.\nAnswer: 48903920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*n + 473 + 1073 = 406 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 1152269 + 359983 = -f. Does 48 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 2.285064.\nAnswer: 18.280512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11093, -44398, -99923, -177680, -277681, -399938, -544463, -711268?\nAnswer: -900365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -1\/3, 14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 827, 3460, 7823, 13892, 21643, 31052, 42095, 54748?\n\"Answer: -4*r**3 + 889*r**2 - 6*r - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 1 + 20*m**2 - 25*m**2 - 3*m.\nAnswer: -(m + 1)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 26 + 34)*(-1 - 1 - 5*f + 3*f).\nAnswer: -70*f - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 51*l**3 - 3 - 4*l + 1 + 20*l**3 in the form v*l + j*l**2 + g + b*l**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 5. Let c be b(-5). Let r be 1*(1 + 0)*-71. Let m = 116 + r. What is the highest common divisor of c and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:53 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -213122 (base 6) in base 15?\nAnswer: -52eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:58 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26675\/2454 - -15\/409. Calculate the common denominator of h and 95\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 946, 4 in decreasing order.\nAnswer: 946, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29718)\/(-12)*121\/(254826\/108)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let j(d) = -50*d**2 - 20*d. Determine j(g(p)).\nAnswer: -50*p**2 + 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f - 0*f - 4*h, 3*h = 2*f - 33. Let o(k) = -3*k**2 + 2*k - 1. Let b(l) = -7*l**2 + 3*l - 2. Let y(n) = f*o(n) - 4*b(n). What is y(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 2665, -1, 1, -56, -2 in ascending order.\nAnswer: -56, -6, -3, -2, -1, 1, 2665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 6*b - 3. Let l = 9 + -13. Is 5 a factor of q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0926722 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 758.0309 + -754. Let d = 0.0109 - m. Let n = -0.02 - d. Which is the third smallest value? (a) n (b) 0.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*h - w + 11, -2*h = -2*w + 26. Let q(k) = -12*k - 9 - 4*k + 0*k. Is q(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 12 + 37)*(2*y - 4 + 4)*(-3 + 18 - 2) as u + t*y and give t.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15914469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659984 a multiple of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 - -212. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39312 and 5436.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.54 - 0.46. Let w = 17.2 + s. Let i = 0.1 - 0. Which is the nearest to 2\/9? (a) -1 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 299974 - 299970. Determine d so that -34*d**2 - 1\/2*d**5 - 19*d**3 - 57\/2*d - 5*d**o - 9 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5\/3, 726138?\nAnswer: 726138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 726396 and 0.002609?\nAnswer: 726395.997391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**3 + o. Let k(d) be the second derivative of -d**3\/6 - 68*d. What is s(k(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1235810137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268*x + 1651 + 1080 - 195 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 3\/7, -15, 2\/91, -1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 83*p - 132. What is u(82)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {j: 6, l: 2, s: 1, r: 2, o: 6, p: 1}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11898489 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/t)\/t**(-3\/7) assuming t is positive.\nAnswer: t**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -24. Calculate the greatest common divisor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 441038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l + 2*l - 3*l)*(l - 2 + 2) - 2*l**2 - l**2 + 4*l**2 - l**2 - l**2 - l**2)*(0*l - l + 3*l)*(-22 - 31 - 10).\nAnswer: 126*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -1, -16, -35, -58, -85?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*x + 18 = 0, -2*h = 4*x - 9*x - 21. Let j be 12 + (-3)\/((-3)\/(-2)). Let k = j - h. Calculate the remainder when 13 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 10*b**7\/21 - b**6\/5 + 284*b**3 - 42*b - 25. What is the second derivative of y(a) wrt a?\nAnswer: 400*a**3 - 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21012232 + 1101?\nAnswer: -21011131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from aupauattuaq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -395*q**4\/2 - 4413*q**2\/2 + 2*q - 1937. What is the derivative of w(p) wrt p?\nAnswer: -4740*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*(-4)\/(-10). What is the third biggest value in w, -0.1, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/3)\/((-10)\/654). Let q = a + -88. Let x be (-2)\/(-3)*(-3)\/(-6). What is the smallest value in q, 1, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8470 + 8502. Calculate the remainder when 376 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u - 8. Let f(d) = -7*d - 9. What is -6*f(k) + 7*i(k)?\nAnswer: -14*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 231a2a - 2?\nAnswer: 231a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**2\/2 + 4. Let d be s(0). Which is smaller: -1\/2 or d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-17.01\nAnswer: 153.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 5 - (-76 - -61).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3073\/8 - -384. Let h = 0.59 + 0.41. Do r and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -g + 3*n, 0*g + 5*g - 29 = -n. Let p be g\/27 - 70\/(-9). Suppose -4*v + 13 = -4*l + 1, 4*l + p = 2*v. Solve -v*k = -k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-15 - -18)\/((-2)\/(-774))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 72*v**2 + 135*v + 180. Determine j(70).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z - 170 = 92*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t - 17. Let l be u(-7). Let y be (0 + -1)*(l + -13). Suppose c = y*c - 2. Solve -c = -2*a + a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -134?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (249\/(-9))\/(22\/8*(-452)\/(-3729))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 7*a**2 + 220*a + 2000. What is n(-11)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*d - 16 = -0*d, 0 = 4*x + d + 29. Let g = 11 + x. Solve -4*p = -g*v - 4, -5*p + 7 + 6 = 3*v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/20 - 2*x**4\/3 + 3*x**3\/2 + 7*x**2\/2 + 32*x. Suppose 3*k = -0*k + 21. Is c(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17952543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and 210?\nAnswer: 209.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwhwhhdhwyyhx. Give prob of picking 1 x and 1 d.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215676590 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + q**2 - 3*q**2 - 3*q - 42*q.\nAnswer: 3*q**2 - 45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (6 + -2)*1. Let o be (-5)\/(2*x\/(-4)). Let z = -35.5 + 36. Which is the biggest value? (a) 0.3 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 60*i - 664. Calculate d(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 67401859.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93228.\nAnswer: 2, 3, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2 - 1)*(-2 + 2 + u**2 + (0*u - u + 2*u)*(5*u - 3*u + 0*u) - 4*u**2 + 3*u**2 - u**2 + (-21 + 21 + 2*u)*(49 - 49 - 6*u)).\nAnswer: 88*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 3*y. Calculate the remainder when c(4) is divided by -2*(17\/(-2) + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -760444, -760445, -760446, -760447?\nAnswer: -760448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27120)\/(-90))\/113)\/((-5)\/(-10)*(-12)\/(-189))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440048830 and 650?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - p - 1 = 0, 2*k - 1 = p - 0. Let g = -3 - k. Let f be 2*(g + 2) + 1. Sort f, -3\/4, -2.\nAnswer: -2, f, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 1. Let y(i) = -8*i**2 - i - 8. What is 2*t(c) + 2*y(c)?\nAnswer: -16*c**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -15 + 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -b, -172*r - 3*b + 12 = -169*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116649602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 887 = -217. Let i(y) = -3*y**2 + 4*y + 65. Let g be i(-9). Let p = k + g. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*y + 11074 - 12106 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 19*p - 3. What is j(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f - 3 + f**3 - f + 3*f + 1. Let x be z(0). Does 12 divide -4*(x + 156\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 1028 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20859 and 89866707?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.4 - 3.1. Let s = 26.2 - o. Which is the smallest value? (a) -2 (b) -10 (c) s (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 1102602*r\/7 - 18744812\/7.\nAnswer: 2*(r - 551318)*(r + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 0*i**2 - 4*i**2 + (-6*i**2 - i**2 + 0*i**2)*(0 + 1 - 2) + 93 - 2*i**2 - 93 + (i + 0 + 0)*(1 + i - 1) - 5*i + 2*i**2 + 5*i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 10:51 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, 7, -2, 3, 61, 5, 2 in increasing order.\nAnswer: -2, 2, 3, 5, 7, 61, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 + 6 + -3 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 169*x**2 + 518*x - 3233. Determine p(166).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 2, b: 1, a: 2}. Give prob of sequence bk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -52. Suppose x + 0 = g. Solve 20 = -2*c + x*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430516813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-1))\/(0 + 5). Suppose 50*a - 49*a = -5, -2*a - 9 = -d. Put 2, d, k, 1 in descending order.\nAnswer: 2, 1, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 85875.2 nanoseconds in seconds?\nAnswer: 0.0000858752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -4*n - 90, -3*n + 16*q - 15*q = 55 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tggr when four letters picked without replacement from ffrgrggfrt.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1964 divided by -491\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6600634 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6123063 times 52\nAnswer: -318399276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 5. Let z be x(8). Let j = z - 10. Is ((-10)\/j)\/((-8)\/372) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42.38 - 42. Let i = o - 0.4. Let j = 0.32 + i. Sort 4\/7, -3\/4, j in decreasing order.\nAnswer: 4\/7, j, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.71177 to 0 dps.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Let y = 83 - 83.39. Let t = y + 0.59. Which is the nearest to t? (a) -1 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 17 = -3*o, -2*p + 2*o + 18 = 4. Let v = 16 - 11. Suppose -2*g + v*x - 3*x + 6 = 0, x - 9 = -3*g. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9233*h - 4104 = 9404*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33521*w**4 + 11*w**3 + 2*w**2 - 8172230 wrt w.\nAnswer: 134084*w**3 + 33*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1139*d + 22 + 1139*d + 402*d**2 - 20.\nAnswer: 402*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 20.9. What is the third biggest value in q, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 - ((100 - 26) + -2).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -127, -315, -589, -955?\n\"Answer: -o**3 - 34*o**2 + o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398739935?\nAnswer: 3, 5, 93249329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 130252252 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let h = -22163 + 22172. What is the second biggest value in -5, q, -0.1, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 3*g + 36*g**3.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4)\/((-96)\/20)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -305047973 and 42518.\nAnswer: -305005455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085965643 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-105) - 5\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b + 65 = 0. Let t = b + 6. Which is greater: t or -8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36*0.055.\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(-5 + (-46)\/(-10)). Suppose 3*r - y*q = 28, -32 = -4*r + 2*q + 4. Suppose 2*o - 6*o = -r*o. Let x(m) = m + 5. Determine x(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 10004?\nAnswer: 19\/10004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125301453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -7. Let l(a) = -a - 2. Let b be l(f). Suppose 0 = -2*y + 3*y + b. Which is smaller: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, 10, 56, 140, 274, 470, 740?\n\"Answer: 2*q**3 + q**2 + 3*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 5*l**2 + 6*l - 1. Let o be i(4). Suppose -40 - 232 = -8*f. Let c(j) = -f*j - 31*j - 8*j**2 + j**3 + 73*j - 3. Give c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 8*h**2 - 8*h + 7. Let o be n(9). Suppose 0 = 4*r + o, t + r + 2*r = -7. Solve t*v - 7 = -22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/11 + 5703570*s\/11 + 1037012 = 0 for s.\nAnswer: -2851783, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -273*14.63\nAnswer: -3993.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54461125, 54461121, 54461117, 54461113?\n\"Answer: -4*d + 54461129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 + (-43 - 8) - 9?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -89\/44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(4\/(-30)*5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 28. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(180)\/sqrt(3))\/sqrt(5)*-1)**2 - ((sqrt(363) + 0)**2 + -1 - (sqrt(9)\/(1*sqrt(3)) + 4)).\nAnswer: -351 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0681128 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 774764310 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*h - 641*h + 92 = -106 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 0 + 1 - 6. Let u(s) be the second derivative of -s**5\/30 - s**4 + s**3\/3 + s. Let l(k) be the second derivative of u(k). Give 3*l(q) - 14*v(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5014 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5139 - 6b?\nAnswer: -51a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*z + 6 - 43*z - 5*z - 4 + 5*z in the form b + q*z and give q.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Let x = p + 4. Let h(z) = z**2 + 10*z + 18. Let q be h(-8). Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 10:11 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0*r*r**(-19)*(r**(1\/4)\/r*r)\/(r\/r**(1\/5)) assuming r is positive.\nAnswer: r**(-371\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2\/515.\nAnswer: 0, 2\/515, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6627, -13352, -20259, -27438, -34979, -42972, -51507, -60674?\n\"Answer: -15*p**3 - p**2 - 6617*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8*y = -216. Let o be ((-5)\/(-3))\/((-12)\/y). Let w(v) = 7*v**3 + 5*v**2 + 2*v + 9. Let k(l) = -3*l**3 - 2*l**2 - l - 4. What is o*k(m) + 2*w(m)?\nAnswer: -m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (2 + 3 + (24 - 29))) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2 - 3000*p + 3005 = 0. Calculate p.\nAnswer: -601, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = -0*v. Let r(d) = -8*d - 2. Let h be r(v). Suppose 3*c + 2 = -2*w, 0 = -c + 2*c - 5*w - h. What is the remainder when 2 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 15*z**2 - 3\/4*z**3 - 72*z.\nAnswer: -3*z*(z + 8)*(z + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 52*t**3 + 3*t - 2. Let s(k) = -207*k**3 - 12*k + 9. Calculate -9*a(f) - 2*s(f).\nAnswer: -54*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4722\/7, -1, -3, 3, -18.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -730a50 + -1?\nAnswer: -730a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007044 to seven decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w. Let q(j) = 8*j**2 + j + 22. Calculate q(v(l)).\nAnswer: 200*l**2 + 5*l + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/120 + x**5\/12 + 10*x**2. Find the third derivative of w(k) wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1, -0.02, -0.4 in descending order.\nAnswer: -0.02, -0.4, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(3\/26)*l\/((l**(-8)\/l)\/l))\/(l**10*l**(18\/11)\/l) assuming l is positive.\nAnswer: l**(357\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2314 + -2349. Sort 1, y, 2, -2, 5 in increasing order.\nAnswer: y, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45.5 + -45.4797. Round x to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiiixxiixiixixiiii. Give prob of picking 1 x and 2 i.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*1764\/3920?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 less than 0.4?\nAnswer: -205.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20\/3 + -91\/15. Let s = -0.4 - -3.4. Let f = 0.292 + -0.192. Which is the third biggest value? (a) s (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*a - 264 + 180 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*y = 2*k - 2, -4 = -k + y. Suppose -u - k*f + 24 = -2*f, -4*u + 4*f = -160. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 5*f + 2 + 4*f**2 - 4 - f**3. Suppose 0 = 4*j - j + 6. Calculate the least common multiple of o(j) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*p - 1460. Let s = -197 - p. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 17359.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-v + 4*v + 0*v) - 2*v + v - v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m**2 + 2*m + 111. Let g(q) = 5*q**2 + q + 48. Let p(j) = -3*d(j) + 7*g(j). Let l(k) = k**2 - 1. What is 3*l(f) + p(f)?\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43661 (base 9) to base 11\nAnswer: -1a849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -23603527\/5?\nAnswer: -23603527\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1330 and 8330.\nAnswer: 158270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-4)*(-330)\/154?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 0.048269 (b) 1\/17 (c) 2\/35 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-8) - (2 + 1). Suppose -2*o = -4*q + 14, 7 = q - 3*o - 4. Sort g, 5, q in ascending order.\nAnswer: g, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -5*v - 19, -u + 10 = 9*v - 12*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.4 - 110.4. Let b = -102.9 - g. What is the nearest to b in -0.01, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 875379866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, -4, 0, 16\/3 in ascending order.\nAnswer: -16, -5, -4, 0, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {s: 7, e: 2, l: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*t, t = -o - t. Let s(g) = g**2 + g + 12. Determine s(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 25*y - 2*y - 12*y.\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 239901 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*m + 55*m - 30*m)*(-37 + 24 + 8*m + 14 + 3*m).\nAnswer: -121*m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q + 248. Let m = 66 + q. Suppose 2*f - 194 = m*n, -2*n + 85 = -0*f + f. List the prime factors of f.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 585*t + 4. Is r(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 1\/2, 9, 5 in decreasing order.\nAnswer: 9, 5, 1\/2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160870 = 4*s - 84730. Round s to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -8. Let z be 94\/i*(-4 - -6). Suppose -2*v + 1 = -z. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**30\/(n**1\/n)**(2\/77)*n**(-7)*(n*n**2)\/n*n**(-2)*n**(1\/12) assuming n is positive.\nAnswer: n**(277\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*q + 0 = 61, 0 = -y + 3*q + 27. Suppose -9*r + 8*r - 4 = 0. Let f = y - r. Calculate the remainder when 52 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*n - 3 + 16, r = 3*n - 7. Suppose 3*a - 78 = r*h, -3*h + 5*h + 3*a = -102. Let o = 139 + h. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) + 178186\/159. Suppose -c = -18*n + 12901. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375611.5 rounded to the nearest one thousand?\nAnswer: -376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 3\/((-12)\/(-16)). Let a be (9\/18)\/(3\/x). Factor -a*g**3 + 4\/3*g + 0 + 2\/3*g**2.\nAnswer: -2*g*(g - 2)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 93, 181, 269, 357, 445?\n\"Answer: 88*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 170*r**3 + r**2 + 12*r - 19. Give o(1).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -4 (b) 0 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13160 (base 16) in base 2?\nAnswer: -10011000101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**8\/84 + b**5\/15 - b**2\/2 + 2. Let h(x) be the second derivative of k(x). Find the third derivative of h(y) wrt y.\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*v**2 + 584*v**2 + 595*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 589*k - 12958. Let n be t(22). Let x be (-1)\/(-1 - 92\/(-94)). Suppose x*c - 43*c - 80 = n. What is the greatest common factor of 15 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 7*g**2 + 9*g + 14. What is s(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 4032816*w - 4032820.\nAnswer: 4*(w - 1)*(w + 1008205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(1206\/120 + -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 752*q\/3 - 45717.\nAnswer: -(q - 441)*(q - 311)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68\/(-17) + (-30)\/(-7). Let y = -25 + 26. Which is the nearest to -1\/6? (a) 0.4 (b) 0.5 (c) y (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -127112*j - 11 + 31 + 127104*j. What is l(9)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68150388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13411 - 330525?\nAnswer: -313114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 2, o: 1, z: 4, f: 1}. What is prob of picking 1 y, 1 f, and 2 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**0*d)**(-1\/80)\/(((d*d\/((d*d**(-5)\/d*d)\/d))\/d)\/d*d**(-1\/5)) assuming d is positive.\nAnswer: d**(-387\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 3*c - 126.\nAnswer: 3*(c - 6)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.405 (c) -32.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 7:48 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -17408*o**3 - 2*o**2 - 2*o - 4. Let y be z(-3). What is y rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 3*i + 2*i**2. Suppose -3*k - 18 = -3*n, 0*k - k + 18 = 5*n. Let x(l) = -l**2 - n*l**2 + 7*l**2. Calculate b(x(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(171) - sqrt(171))*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {x: 1, a: 10, r: 2, o: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3427*p**2 + 4 - 3 - 3426*p**2 - 1.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 5*j**7\/14 - 233*j**6\/15 + 29*j**5\/20 + 31*j**4\/6 + 324*j - 2. Solve y(v) = 0.\nAnswer: -1\/3, 0, 2\/5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c**2 + 14. Give y(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**11\/c)\/c*c*c\/(((c\/((c**(-4)\/c*c)\/c*c)*c)\/c)\/c))**29)**(-11\/9) assuming c is positive.\nAnswer: c**(-319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n - 13668373 = -13667292 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - (-144 + 80) - (1 + 23) - -78.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 divided by -6?\nAnswer: -670\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*p = 5*b + 866*p - 432*p + 15, 3*b = -2*p + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 * 2754.5\nAnswer: 2.7545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(6\/11)*q))**16 assuming q is positive.\nAnswer: q**(-96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/25116 and 27\/208.\nAnswer: 100464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + r - 164 - 196 = 0, 3*r = 2*t - 194. Let k = t - 64. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + m = 68567 - 68497, -8*r + 3*m = -198 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2290 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - 149. Let h(r) be the third derivative of 1\/10*r**4 - 1\/50*r**5 + 0 - r**i - 4\/15*r**3 + 1\/600*r**6 + 0*r. Suppose h(j) = 0. Calculate j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -208*j**2 - 2569*j - 15. Is 3 a factor of s(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 13533 = 13571 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 655*g = 659*g - 670, 0 = -5*v + 3*g - 1640. Which is bigger: -340 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30, 37, 30, 3, -50, -135?\n\"Answer: -y**3 - y**2 + 17*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000330286 to seven decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 390, 763, 1136?\n\"Answer: 373*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 43\/(-2)*-6 - 1. Let h = s - 128. Solve -4*q - 10 - 6 = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/10, 95.2, -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3 - 93*r**2 + 3*r + 93 = 0.\nAnswer: -31, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j**2 - 3*j - 12. Let u(b) = 2*b**2 + b + 4. Give -3*l(y) - 8*u(y).\nAnswer: 2*y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13050 - -18850. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -131?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.2. Let p = j + -0.5. Let k = p - 0.5. Which is the third biggest value? (a) -1 (b) k (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*p = -5*p + 20, -p + 10 = 2*c. Solve -q - 8 = c*d + 11, -2*q + 14 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 y when four letters picked without replacement from {d: 10, y: 4}.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, c: 2, b: 1, e: 1, u: 1, a: 1}. Give prob of picking 1 e, 1 b, 1 u, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 13 = -22*u + 3*c, -4*u + 3*c = -34. Let m(y) = -3*y**3 - 7*y**2 + 7*y - 36. Let l(r) = -r**3 - 2*r**2 + 2*r - 12. Determine u*l(s) - 2*m(s).\nAnswer: -s**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 0 - (-12 - 3)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2138121 to the nearest 1000.\nAnswer: -2138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999 (base 10) to base 14.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = -2*x, 2 = -3*x + 4*x. What is the highest common divisor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v**2 + 2*v + 4. Let d be z(0). Let p(a) = -a**3 - 14*a**2 + 50*a - 21. Let x be p(-17). Put x, -1, 11, d in descending order.\nAnswer: 11, d, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -24. Is -2\/3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021838337 to four dps.\nAnswer: 0.0218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2.4. Let j = 0.8 - r. What is the nearest to 0.1 in j, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22878 = -9*h - 21*h - 22608 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(684) + (sqrt(19) - (0 + sqrt(19)*2)**2).\nAnswer: -79 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:06 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 1*-2 - 0. Suppose -o*x = 8, 2*m - 2*x = -x + 192. Let a = m - 50. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22439.\nAnswer: 19, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 332766 and 43533.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 210 - 176 = -2*u, 3*o + 3*u = -15 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 890782703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 178*l - 16. Let v be a(-5). Let y = v - -1351. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134822 divided by -6\nAnswer: 67411\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -109*y + 7420. Determine w(68).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 1\/5*a**5 + a**2 - 1\/3*a**3 + 0*a + 28 - 1\/2*a**4. Factor j(l).\nAnswer: l*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 20 = -f. Suppose 88 = -215*k + 223*k. What is the remainder when f is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/8 + 3)*4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -439 + 443. What is the second smallest value in 1\/3, u, -2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1690.8 and -0.3.\nAnswer: 507.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182397\/124 or -1470?\nAnswer: -182397\/124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 11:17 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -60\/19, 987 in increasing order.\nAnswer: -60\/19, -1, 987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 18*u + 3*u - 2*u**2 - 2*u + 6. Let m be l(-15). What is the common denominator of m\/22 - (-24)\/16 and 23\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/5)*x*x**6*x*x)\/((x*(x*x*x**(-2)*x*x)\/x)\/(x*x*x*x**0\/x)) assuming x is positive.\nAnswer: x**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b**3 - 2*b**2*k - 2*b*k + 137*b - 3545*k wrt b.\nAnswer: -18*b**2 - 4*b*k - 2*k + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 42462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 18*p**2 - 7*p - 6. Let v be o(-10). Let y be 3\/6*2*3. Let n be 22 + (-3)\/(y\/(-2)). Calculate the greatest common divisor of v and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382960060 to the power of 1\/2, to the nearest integer?\nAnswer: 19569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)*l)\/(l*l*l**18*l*l))\/(l**2)**(-2\/27) assuming l is positive.\nAnswer: l**(-2279\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 21, 4\/3, -38.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -9) + 146711 - (-2 - 2). Suppose g = 5*d - 167780. What is d rounded to the nearest 1000?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 40*i**3 + 240*i - 585 - 5*i**4 - 3974*i**2 + 2119*i**2 + 2165*i**2 = 0?\nAnswer: -3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 15, 1, -32 in ascending order.\nAnswer: -32, -31, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202 + 210. Let w be 78 + (1 - 1) + 2. Suppose -2*z = -0 - l, 5*h = 5*z + w. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 13*g - 2. Let i be (-13)\/(-2) - 3\/6. Let n(w) = -2*w**2 + 27*w + 5. Let r(m) = i*n(m) + 13*t(m). Determine r(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 - 1. Let t(g) = 30*g**3 + 402*g**2 - 377*g**2 - 25 + 0*g**3. Calculate 50*i(z) - 2*t(z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13023 - 13022.991099. What is r rounded to 4 decimal places?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277622 is divided by 1810.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2575 (base 16) in base 7?\nAnswer: -36646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, 1759667 in ascending order.\nAnswer: -14, 0, 1759667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 1\/4 (c) -2\/5 (d) 16\/7 (e) 0.2 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2625145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 62*k - 287. Calculate u(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-10850)\/124)\/(-175))\/((-50)\/4)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14130 = 428*z - 202*z - 12074 + 2022 for z.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.9 + -35. Is -3\/11 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -2 + -3)**2 - sqrt(91)\/(-3*sqrt(700)).\nAnswer: -2399*sqrt(13)\/30 + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0 + 0 + 2)*(-1246*h - 827*h + 355*h + 154*h).\nAnswer: 3128*h**2 - 3128*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19310 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/3, -2, 3.\nAnswer: -4, -2, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1863 and 83862.\nAnswer: 5786478","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 72*w - 4. Let n be z(16). Suppose 4*a - 2*o - n = 0, -2*o - 3*o = -3*a + 861. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*l**2 - 7*l - 70*l**2 - 2*l**3 + 12*l**3)*(-5 + 6*l + 5) to the form m*l**3 + f*l**4 + o + c*l + y*l**2 and give y.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0 + 0)*-2. Let z = -5493.43 + 5488.43. Which is the nearest to z? (a) -4 (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5517, 11032, 16549, 22068?\n\"Answer: o**2 + 5512*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4539636 and 118052.\nAnswer: 49935996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -2 - 1) + 6. Suppose 0 = -s*c - 51 - 74. Let g be (-80)\/c + 3\/(-15). Is 3 not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1761327134 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43852 is divided by 7306?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 791940367 - 791940037.000197. Let x = -330 + j. Round x to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + -1 + 5\/2. Suppose -j + g = -5*o - 24, -15 = 5*j + 4*o. Let y(x) = 3*x**2 + 5*x**2 + x - 2*x**2. Give y(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 3 - 1)*-4. Suppose j*u + 0 - 4 = 0. Let y(w) be the second derivative of -w**3\/6 - w**2\/2 + w. Calculate y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 6:51 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -486, -719, -970?\nAnswer: -1239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2967770 divided by -2405.\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 12*a**2 - 16*a - 11. Let p be (-3)\/(495\/117 + -4). Calculate s(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1406 + -655. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.3247 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 101*s**2 + 92*s - 16. Calculate a(2).\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 19 - (-2 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1110 - 13111?\nAnswer: -14221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2 (c) -19 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/(h*h**(-2\/11))*((h*(h**1*h)\/h)\/h*h)**(-3\/49))**(5\/6) assuming h is positive.\nAnswer: h**(-7925\/3234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11154959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7781795 is divided by 2149?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55213 + -36535. What is the greatest common factor of f and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.38 - -19.28. What is the closest to g in 1\/4, 2, -5, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.7 (b) 1\/8 (c) -188 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z**2 + 2*z**2 + 0*z**2. Let d(v) = v - 1. Let s(c) = -1 - 2 - c + 5*c. Let o(g) = -6*d(g) + 2*s(g). What is t(o(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 divided by 898?\nAnswer: 640\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31668 divided by -1293.\nAnswer: -10556\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37703712 and 189312?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - 3*o**2 - 3*o**2)*(-2 - o + 2) - 3*o**3 + 2*o**3 + 6*o**3 - 5*o**3 + 4*o**3 + 0*o**3 + (o**2 + 0 + 0)*(o + 4*o - 3*o) - 3*o**3 - o**3 + 6*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2224 - 2193. What is the remainder when 308 is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-15))\/((-1)\/(-21)*-2). Let w(x) = -x - 12. Give w(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**2 + 3*z**2 - 13*z**2 + 4*z - 3. Let y be w(3). Suppose y*g - 3*g = -6. Solve 2*k + n - 6*n = -31, g*n - 1 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-24)*(-176)\/(-616).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 692?\nAnswer: -2768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14.7 times -2\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q + x - 1272, -4*q + 5*x + 5133 = 0. Let y = 14061\/11 - q. Calculate the common denominator of y and 20 - (-1)\/((-3)\/2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 48. Calculate the greatest common divisor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(3 + sqrt(11))*-6 - ((sqrt(110) + sqrt(110)*-1)*1)\/sqrt(10)).\nAnswer: -24*sqrt(11) - 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a*a**(1\/18)*a)\/(a*a*a*a*a*a**23\/a*a*a))**(-20) assuming a is positive.\nAnswer: a**(4310\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.9 (b) 3\/2 (c) 2\/9 (d) -3\/7 (e) 3.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/5976 and -19\/2160?\nAnswer: 179280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205116418 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 99.39 and 0?\nAnswer: 99.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168734 and 5258.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + 38\/(-14). Let r be (-40)\/10*1*i. Let k be (-2)\/r + 0\/(-2). Which is the third smallest value? (a) k (b) 0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-6 + -14 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14923 is divided by 457.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0 + c + 3\/2*c**2 - 1\/6*c**3. What is the derivative of h(w) wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 548717424*j**3 - 1224531035*j**2.\nAnswer: 3292304544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 + 5819*b\/4 - 1939\/2.\nAnswer: -(b - 1939)*(3*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62531\/27 + 2316. Which is the fourth biggest value? (a) 5 (b) -6 (c) v (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1577701 + -2?\nAnswer: -1577703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 913, 913, 915, 919, 925?\n\"Answer: c**2 - 3*c + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x + 2221 = -48*x - 951 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010110000 + 1101?\nAnswer: -10001010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 43. Let m = -10.7 - -1.7. Let c = m + 5. Put r, -1\/5, c in descending order.\nAnswer: r, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h + 75*h = -72 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 300?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 2 - 4*i**3 + 1 + 8*i**2 - 3*i**2 in the form g*i**2 + a*i**3 + w*i + o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 42514 = 5*v - 42427, -5*r = -5*v - 90 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}